Method for estimating the flange displacement quantity in a rotary machine, program for executing the method and device for carrying out the method

Abstract

In a method for estimating the amount of flange displacement, effective three-dimensional coordinate data are determined at a lower first position on a surface intersecting a first flange surface of a first supported section, and at an upper first position that coincides with the lower first position in the horizontal direction, on a surface intersecting an upper flange surface. The effective three-dimensional coordinate data at the respective positions are modified so that the effective three-dimensional coordinate data at the lower first position and the effective three-dimensional coordinate data at the upper first position coincide.According to the difference between a position in a vertical direction, indicated by the effective three-dimensional coordinate data at an upper target position on the upper flange surface after a coordinate change, and a position in the vertical direction, indicated by the effective three-dimensional coordinate data at a lower target position on the lower flange surface after a coordinate change, displacement amounts of the upper target position and the lower target position in the vertical direction are obtained when a state changes from an open state to a closed state.

Description

Method for estimating flange displacement of rotating machine, program for executing this method, and device for executing this method

[0001] The present disclosure relates to a flange displacement estimation method for estimating the displacement of flange surfaces of an upper half casing and a lower half casing that cover the outer periphery of a rotor in a rotary machine, a program for executing this method, and an apparatus for executing this method. This application claims priority to Japanese Patent Application No. 2022-027444, filed on February 25, 2022, the contents of which are incorporated herein by reference.

[0002] A rotary machine such as a steam turbine includes a rotor rotatable about a horizontally extending axis, a casing that covers the outer periphery of the rotor, and stationary components such as a diaphragm that are disposed within and attached to the casing. The casing generally includes an upper half-casing on the upper side, a lower half-casing on the lower side, and a plurality of bolts that fasten the upper and lower half-casings together. The upper half-casing has an upper flange with an upper flange surface facing downward. The lower half-casing has a lower flange with an upper flange surface facing upward and vertically opposing the upper flange surface.

[0003] During inspection of a rotating machine, the upper half casing is removed from the lower half casing to open the machine, and multiple components constituting the rotating machine are inspected and repaired as necessary. Casings in rotating machines such as steam turbines can undergo inelastic deformation such as creep deformation due to heat during operation. Therefore, the lower half casing and the upper half casing in the open state after operation are technically deformed from the time of shipment from the factory. After the inspection is completed, the multiple components are assembled. This assembly process includes a step of fastening the upper half casing to the lower half casing using multiple bolts to create a fastened state. In the process of changing the lower half casing and the upper half casing from the open state to the fastened state, the lower half casing and the upper half casing are further deformed.

[0004] The radial distance between the rotor and the stationary components attached to the casing needs to be within a predetermined tolerance range. However, when the casing is changed from an open state to a fastened state, and the shapes of the lower and upper casing halves change, the radial distance between the rotor and the stationary components attached to the casing changes, and this distance may fall outside the tolerance range.

[0005] Therefore, the technology described in Patent Document 1 below estimates the amount of deformation of the lower half casing and the upper half casing when they change from an open state to a fastened state, using the following procedure: First, a finite element model relating to the three-dimensional shapes of the lower half casing and the upper half casing is obtained. Next, three-dimensional shape data of the lower half casing and the upper half casing in the open state is obtained by actual measurement. Next, the finite element model is corrected using the measured three-dimensional shape data so that the finite element model matches the measured three-dimensional shape data. Next, the corrected finite element model representing the open state is used to simulate the fastened state, and a finite element model representing the fastened state is created. Then, the amount of deformation of predetermined portions of the lower half casing and the upper half casing is estimated from the difference between the finite element model representing the open state and the finite element model representing the fastened state. Note that the predetermined portions of the lower half casing and the upper half casing are the bottom flange surface of the lower half casing and the top flange surface of the upper half casing.

[0006] In other words, in the technology described in Patent Document 1, the fastening state is simulated using a finite element model that represents the open state, and the amount of displacement of the lower flange surface of the lower half casing and the upper flange surface of the upper half casing is estimated from the finite element model that represents the fastening state obtained from this simulation.

[0007] Japanese Patent Application Laid-Open No. 2019-070334

[0008] The technology described in Patent Document 1 has the problem that the calculation load for executing the simulation is large because the fastening state is simulated using a finite element model that represents the open state, which results in a long preparation period and a high cost for estimating the displacement of the flange surface.

[0009] Therefore, the present disclosure aims to provide a technology that can reduce the preparation period for estimating the flange surfaces and the estimation cost by reducing the calculation load when estimating the displacement amount of the flange surfaces of the upper half casing and the lower half casing.

[0010] A flange displacement estimation method for a rotary machine, as one aspect for achieving the above object, is applied to the following rotary machine. The rotary machine includes: a rotor rotatable about an axis extending horizontally; a casing covering the outer periphery of the rotor; a stationary component disposed within the casing and attached to the casing; and a base supporting the casing from below. The casing includes an upper half casing on an upper side, a lower half casing on a lower side, and a plurality of bolts fastening the upper half casing and the lower half casing together. The upper half casing has an upper flange having an upper flange surface facing downward. The lower half casing has a lower flange having a lower flange surface facing upward and facing the upper flange surface in the vertical direction, and first and second supported portions connected to the lower flange, supported from below by the base, and spaced apart from each other in the axial direction along the axis. The upper flange and the lower flange have bolt holes formed therethrough in the vertical direction, through which each of the plurality of bolts can be inserted.The above flange displacement amount estimation method for a rotary machine includes a measured coordinate receiving step of receiving measured three-dimensional coordinate data at a plurality of positions on the upper flange surface and measured three-dimensional coordinate data at a plurality of positions on the lower flange surface in an open state in which the upper half casing and the lower half casing are not fastened by the plurality of bolts after disassembling the rotary machine; and using the measured three-dimensional coordinate data at the plurality of positions on the lower flange surface, obtaining effective three-dimensional coordinate data at a lower first position whose position in the horizontal direction coincides with a first representative position of the first supported part in a plane continuous with the lower flange surface, a lower second position whose position in the horizontal direction coincides with a second representative position of the second supported part in a plane continuous with the lower flange surface, and a lower target position on the lower flange surface from which the amount of vertical displacement is desired when the upper half casing and the lower half casing change from the open state to a fastened state in which they are fastened by the plurality of bolts, and using the measured three-dimensional coordinate data at the plurality of positions on the upper flange surface, obtaining effective three-dimensional coordinate data at a lower first position whose position in the horizontal direction coincides with a first representative position of the first supported part in a plane continuous with the lower flange surface, a lower second position whose position in the horizontal direction coincides with a second representative position of the second supported part in a plane continuous with the lower flange surface, and a lower target position from which the amount of vertical displacement is desired when the upper half casing and the lower half casing change from the open state to a fastened state in which they are fastened by the plurality of bolts. the effective three-dimensional coordinate data of an upper first position whose position in the horizontal direction coincides with that of the second representative position of the second supported part in a plane continuous with the upper flange surface, an upper second position whose position in the horizontal direction coincides with that of the lower target position in the upper flange surface; a coordinate changing step of changing the effective three-dimensional coordinate data of the lower first position determined in the effective coordinate determining step so that the effective three-dimensional coordinate data of the lower first position coincides with the effective three-dimensional coordinate data of the upper first position and so that the effective three-dimensional coordinate data of the lower second position determined in the effective coordinate determining step coincides with the effective three-dimensional coordinate data of the upper second position; and a displacement amount calculation step of calculating the amount of vertical displacement of the upper target position and the lower target position when the released state changes to the fastened state, based on the difference between the vertical position indicated by the effective three-dimensional coordinate data of the upper target position after the coordinate changing step and the vertical position indicated by the effective three-dimensional coordinate data of the lower target position after the coordinate changing step.

[0011] In this aspect, the vertical displacement amounts of the upper and lower target positions when the casing changes from the open state to the fastened state are calculated based on the difference between the vertical position of the upper target position on the upper flange surface for which the vertical displacement amount when the casing changes from the open state to the fastened state is desired and the vertical position of the lower target position on the lower flange surface for which the vertical displacement amount when the casing changes from the open state to the fastened state is desired. Therefore, in this aspect, the vertical displacement amounts of the upper and lower target positions can be calculated without using finite element models of the lower and upper casing half to simulate the deformation of the lower and upper casing half. Therefore, in this aspect, the calculation load when calculating the displacement amounts can be reduced.

[0012] A flange displacement estimation program for a rotary machine, as one aspect for achieving the above object, is applied to the following rotary machine. The rotary machine includes: a rotor rotatable about an axis extending horizontally; a casing covering the outer periphery of the rotor; a stationary component disposed within the casing and attached to the casing; and a base supporting the casing from below. The casing includes an upper half casing on an upper side, a lower half casing on a lower side, and a plurality of bolts fastening the upper half casing and the lower half casing together. The upper half casing has an upper flange having an upper flange surface facing downward. The lower half casing has a lower flange having a lower flange surface facing upward and facing the upper flange surface in the vertical direction, and first and second supported portions connected to the lower flange, supported from below by the base, and spaced apart from each other in the axial direction along the axis. The upper flange and the lower flange have bolt holes formed therethrough in the vertical direction, through which each of the plurality of bolts can be inserted.The above flange displacement estimation program for rotating machinery is a measured coordinate receiving step of receiving measured three-dimensional coordinate data at a plurality of positions on the upper flange surface and measured three-dimensional coordinate data at a plurality of positions on the lower flange surface in an open state in which the upper half casing and the lower half casing are not fastened by the plurality of bolts after disassembling the rotary machine; and using the measured three-dimensional coordinate data at the plurality of positions on the lower flange surface, obtaining effective three-dimensional coordinate data at a lower first position whose position in the horizontal direction coincides with a first representative position of a first supported part in a plane continuous with the lower flange surface, a lower second position whose position in the horizontal direction coincides with a second representative position of the second supported part in a plane continuous with the lower flange surface, and a lower target position on the lower flange surface from which an amount of vertical displacement is desired to be obtained when the upper half casing and the lower half casing change from the open state to a fastened state in which they are fastened by the plurality of bolts, and using the measured three-dimensional coordinate data at the plurality of positions on the upper flange surface, obtaining effective three-dimensional coordinate data at a lower first position whose position in the horizontal direction coincides with a first representative position of the first supported part in a plane continuous with the lower flange surface, a lower second position whose position in the horizontal direction coincides with a second representative position of the second supported part in a plane continuous with the lower flange surface, and a lower target position from which an amount of vertical displacement is desired to be obtained when the upper half casing and the lower half casing change from the open state to a fastened state in which they are fastened by the plurality of bolts. the effective three-dimensional coordinate data of an upper first position whose position in the horizontal direction coincides with the second representative position of the second supported portion in a plane continuous with the upper flange surface, an upper second position whose position in the horizontal direction coincides with the lower target position in the upper flange surface; a coordinate changing step of changing the effective three-dimensional coordinate data of the lower first position determined in the effective coordinate determining step so that the effective three-dimensional coordinate data of the lower second position determined in the effective coordinate determining step coincides with the effective three-dimensional coordinate data of the upper second position; and a displacement amount calculation step of calculating the amount of vertical displacement of the upper target position and the lower target position when the released state changes to the fastened state, based on the difference between the vertical position indicated by the effective three-dimensional coordinate data of the upper target position after the coordinate changing step and the vertical position indicated by the effective three-dimensional coordinate data of the lower target position after the coordinate changing step.

[0013] In this aspect, by having a computer execute this program, it is possible to reduce the calculation load when determining the displacement amount, similar to one aspect of the flange displacement amount estimation method.

[0014] A flange displacement measurement device for a rotary machine, as one aspect for achieving the above object, is applied to the following rotary machine. This rotary machine includes a rotor rotatable about an axis extending horizontally, a casing covering the outer periphery of the rotor, a stationary component disposed within the casing and attached to the casing, and a base supporting the casing from below. The casing has an upper half-casing on an upper side, a lower half-casing on a lower side, and a plurality of bolts fastening the upper half-casing and the lower half-casing together. The upper half-casing has an upper flange having an upper flange surface facing downward. The lower half-casing has a lower flange having a lower flange surface facing upward and facing the upper flange surface in the vertical direction, and first and second supported portions connected to the lower flange, supported from below by the base, and spaced apart from each other in the axial direction along the axis. The upper flange and the lower flange have bolt holes formed therethrough in the vertical direction, through which each of the plurality of bolts can be inserted.The flange displacement amount estimation device for a rotary machine described above includes: an actual measurement coordinate receiving unit that receives measured three-dimensional coordinate data at a plurality of positions on the upper flange surface and measured three-dimensional coordinate data at a plurality of positions on the lower flange surface in an open state in which the upper half casing and the lower half casing are not fastened by the plurality of bolts after the rotary machine has been disassembled; and using the measured three-dimensional coordinate data at the plurality of positions on the lower flange surface, obtains effective three-dimensional coordinate data at a lower first position whose position in the horizontal direction coincides with a first representative position of a first supported part in a surface continuous with the lower flange surface; a lower second position whose position in the horizontal direction coincides with a second representative position of the second supported part in a surface continuous with the lower flange surface; and a lower target position on the lower flange surface from which it is desired to obtain the amount of vertical displacement when the upper half casing and the lower half casing change from the open state to a fastened state in which they are fastened by the plurality of bolts, and uses the measured three-dimensional coordinate data at the plurality of positions on the upper flange surface to obtain effective three-dimensional coordinate data at the effective three-dimensional coordinate data of an upper first position whose position in the horizontal direction coincides with that of a representative position, an upper second position whose position in the horizontal direction coincides with that of the second representative position of the second supported part in a plane connected to the upper flange surface, and an upper target position whose position in the horizontal direction coincides with that of the lower target position in the upper flange surface; a coordinate change unit that changes the effective three-dimensional coordinate data grasped by the effective coordinate grasp unit so that the effective three-dimensional coordinate data of the lower first position grasped by the effective coordinate grasp unit coincides with the effective three-dimensional coordinate data of the upper first position and so that the effective three-dimensional coordinate data of the lower second position grasped by the effective coordinate grasp unit coincides with the effective three-dimensional coordinate data of the upper second position; and a displacement amount calculation unit that calculates the amount of vertical displacement of the upper target position and the lower target position when the open state changes to the fastened state, based on the difference between the vertical position indicated by the effective three-dimensional coordinate data of the upper target position after the coordinate change and the vertical position indicated by the effective three-dimensional coordinate data of the lower target position after the coordinate change.

[0015] In this aspect, similar to one aspect of the flange displacement amount estimation method, the calculation load when determining the displacement amount can be reduced.

[0016] In one aspect of the present disclosure, when estimating the displacement amount of the flange surfaces of the upper half casing and the lower half casing, the calculation load can be reduced, thereby shortening the preparation period for estimating the flange surfaces and reducing the estimation cost.

[0017] FIG. 1 is a schematic diagram showing a schematic configuration of a steam turbine as a rotary machine in an embodiment according to the present disclosure. FIG. 2 is a schematic diagram showing a schematic outer shape of a steam turbine as a rotary machine in an embodiment according to the present disclosure. FIG. 3 is a plan view of a main part of an upper half casing and a main part of a lower half casing in an embodiment according to the present disclosure. FIG. 4 is a cross-sectional view of a casing in an open state in an embodiment according to the present disclosure. FIG. 5 is a cross-sectional view of a casing in a fastened state in an embodiment according to the present disclosure. FIG. 6 is a functional block diagram of a flange displacement amount estimation device in an embodiment according to the present disclosure. FIG. 7 is a flowchart showing the procedure of a flange displacement amount estimation method in an embodiment according to the present disclosure. FIG. 8 is an explanatory diagram showing a position at which effective three-dimensional coordinate data is grasped on a flange surface in an embodiment according to the present disclosure. FIG. 9 is an explanatory diagram showing processing content in a coordinate change step in an embodiment according to the present disclosure. FIG. 10 is an explanatory diagram showing processing content in a secondary processing step in an embodiment according to the present disclosure. FIG. 11 is an explanatory diagram showing other processing content in the secondary processing step in an embodiment according to the present disclosure. FIG. 12 is an explanatory diagram showing the position of measured three-dimensional coordinate data required when executing a second grasping method in an embodiment according to the present disclosure. FIG. 13 is an explanatory diagram showing processing content in a primary processing step when executing a second grasping method in an embodiment according to the present disclosure. FIG. 1 is an explanatory diagram showing the positions of measured three-dimensional coordinate data required when executing a third grasping method according to an embodiment of the present disclosure. FIG. 2 is an image diagram showing the relative positional relationship between the flange surface indicated by the reference three-dimensional shape data and points indicated by the measured three-dimensional coordinate data at multiple positions on the actual flange surface when executing the third grasping method according to an embodiment of the present disclosure. FIG. 3 is an explanatory diagram for explaining multiple polygon data according to an embodiment of the present disclosure. FIG. 4 is an explanatory diagram for explaining extraction of specific multiple polygon data from the multiple polygon data according to an embodiment of the present disclosure. FIG. 5 is an image diagram showing the relative positional relationship between the flange surface indicated by the reference three-dimensional shape data and points indicated by the measured three-dimensional coordinate data at multiple positions after polygon data extraction, among multiple positions on the actual flange surface, when executing the third grasping method according to an embodiment of the present disclosure. FIG. 6 is an explanatory diagram showing how to determine a reference position in the primary processing step when executing the third grasping method according to an embodiment of the present disclosure.FIG. 1 is an explanatory diagram showing the positions of measured three-dimensional coordinate data required when executing a fourth grasping method according to an embodiment of the present disclosure. FIG. 2 is an image diagram showing the relative positional relationship between the flange surface indicated by the reference three-dimensional shape data and points indicated by measured three-dimensional coordinate data at multiple positions on the actual flange surface when executing the fourth grasping method according to an embodiment of the present disclosure. FIG. 3 is an image diagram showing the relative positional relationship between the flange surface indicated by the reference three-dimensional shape data and points indicated by measured three-dimensional coordinate data at multiple positions after polygon data extraction, among multiple positions on the actual flange surface, when executing the fourth grasping method according to an embodiment of the present disclosure. FIG. 4 is an explanatory diagram showing how to determine a reference position in the primary processing step when executing the fourth grasping method according to an embodiment of the present disclosure.

[0018] Hereinafter, embodiments of a method for estimating a flange displacement amount of a rotary machine, a program for executing this method, and an apparatus for executing this method according to the present disclosure will be described.

[0019] [Embodiment of Rotating Machine] A rotating machine according to this embodiment will be described with reference to FIGS. 1 to 5. FIG.

[0020] 1 and 2 , the rotary machine of this embodiment is a steam turbine 10. This steam turbine 10 includes a rotor 15 that rotates about an axis Ar that extends horizontally, a casing 30 that covers the outer periphery of the rotor 15, a first bearing device 12a and a second bearing device 12b that rotatably support the rotor 15, a plurality of diaphragms 20, a first shaft seal device 13a and a second shaft seal device 13b that seal a gap between the casing 30 and the rotor 15, and a base 11 that supports the casing 30 from below.

[0021] Here, the direction in which the axis Ar extends is referred to as the axial direction Dy, the circumferential direction relative to the axis Ar is simply referred to as the circumferential direction Dc, and the radial direction relative to the axis Ar is simply referred to as the radial direction Dr. In addition, in this radial direction Dr, the side closer to the axis Ar is referred to as the radially inner side Dri, and the side farther away from the axis Ar is referred to as the radially outer side Dro. In addition, U used in the symbols in the figures refers to the upper half, and L refers to the lower half.

[0022] The rotor 15 has a rotor shaft 16 extending in the axial direction Dy and a plurality of moving blade rows 17 attached to the rotor shaft 16 and aligned in the axial direction Dy. Each of the plurality of moving blade rows 17 has a plurality of moving blades aligned in the circumferential direction Dc relative to the axis Ar. Both ends of the rotor shaft 16 protrude from the casing 30 in the axial direction Dy. One end of the rotor shaft 16 in the axial direction Dy is rotatably supported by a first bearing device 12a attached to the frame 11. The other end of the rotor shaft 16 in the axial direction Dy is rotatably supported by a second bearing device 12b attached to the frame 11.

[0023] The first shaft seal device 13a is provided at one end in the axial direction Dy of the casing 30. The second shaft seal device 13b is provided at the other end in the axial direction Dy of the casing 30. Both the first shaft seal device 13a and the second shaft seal device 13b are devices that seal the gap between the rotor shaft 16 and the casing 30.

[0024] The multiple diaphragms 20 are arranged in the axial direction Dy inside the casing 30. Each of the multiple diaphragms 20 has a lower half diaphragm 20L constituting a portion below the axis Ar and an upper half diaphragm 20U constituting a portion above the axis Ar. Each of the lower half diaphragm 20L and the upper half diaphragm 20U has a plurality of stator vanes 22 arranged in the circumferential direction Dc, a diaphragm inner ring 23 connecting radially inner portions Dri of the multiple stator vanes 22 to each other, a diaphragm outer ring 24 connecting radially outer portions Dro of the multiple stator vanes 22 to each other, and a sealing device 25 attached to the radially inner side Dri of the diaphragm inner ring 23. This sealing device 25 seals the gap between the diaphragm inner ring 23 and the rotor shaft 16.

[0025] The first shaft seal device 13 a and second shaft seal device 13 b described above, as well as the multiple diaphragms 20, are all stationary components that extend in the circumferential direction about the axis Ar and are attached to the casing 30.

[0026] 2, the casing 30 has a lower half casing 30L constituting a portion below the axis Ar, an upper half casing 30U constituting a portion above the axis Ar, and a plurality of bolts 39 for fastening the upper half casing 30U to the lower half casing 30L. The lower half casing 30L has a lower half casing main body 31L extending in the circumferential direction Dc, lower flanges 32L protruding radially outward in the direction Dro from both ends of the lower half casing main body 31L in the circumferential direction Dc, and first and second supported portions 35a and 35b connected to the lower flange 32L and supported from below by the frame 11. The upper half casing 30U has an upper half casing main body 31U extending in the circumferential direction Dc and upper flanges 32U protruding radially outward in the direction Dro from both ends of the upper half casing main body 31U in the circumferential direction Dc. The upper flange 32U does not have portions facing the first supported portion 35 a and the second supported portion 35 b of the lower flange 32L. However, the upper flange 32U may have portions facing the first supported portion 35 a and the second supported portion 35 b of the lower flange 32L.

[0027] 2 to 5, the surface of the lower flange 32L facing upward forms a lower flange surface 33L. The surface of the upper flange 32U facing downward forms an upper flange surface 33U. The lower flange surface 33L and the upper flange surface 33U face each other in the vertical direction Dz.

[0028] The first supported portion 35a protrudes from one of both sides of the lower flange 32L in the axial direction Dy to one side. The second supported portion 35b protrudes from the other of both sides of the lower flange 32L in the axial direction Dy to the other side. Therefore, the second supported portion 35b is spaced apart in the axial direction Dy from the first supported portion 35a. In this embodiment, the upper surface 35ap of the first supported portion 35a and the upper surface 35bp of the second supported portion 35b are surfaces that are continuous with the lower flange surface 33L. In other words, the upper surface 35ap of the first supported portion 35a and the upper surface 35bp of the second supported portion 35b are continuous with the lower flange surface 33L and do not have any steps with respect to the lower flange surface 33L.

[0029] The lower flange 32L and the upper flange 32U are formed with bolt holes 34 that penetrate in the vertical direction Dz and through which a plurality of bolts 39 can be inserted, respectively. The lower half casing 30L and the upper half casing 30U are fastened together by the bolts 39 that are inserted through the bolt holes 34 of the lower flange 32L and the bolt holes 34 of the upper flange 32U.

[0030] A plurality of stationary component storage sections 36 are formed on the inner circumferential surfaces of the lower half casing body 31L and the upper half casing body 30U, respectively, to store the plurality of stationary components described above. Each stationary component storage section 36 of the lower half casing body 31L is a groove recessed radially outward from the inner circumferential surface of the lower half casing body 31L and extending in the circumferential direction Dc. Similarly, each stationary component storage section 36 of the upper half casing body 31U is a groove recessed radially outward from the inner circumferential surface of the upper half casing body 31U and extending in the circumferential direction Dc. The diaphragm 20, which is a type of stationary component, is supported by a portion of the stationary component storage section 36 extending in the circumferential direction Dc, near the flange surface.

[0031] The inner peripheral surface of the casing 30 is exposed to high-temperature steam during operation of the steam turbine 10. For this reason, inelastic deformation such as creep deformation may occur in the casing 30 during operation of the steam turbine 10. As a result of this deformation, in an open state in which the upper half casing 30U is not fastened to the lower half casing 30L, the positions of the lower flange surface 33L and the upper flange surface 33U in the vertical direction Dz change depending on their positions in the axial direction Dy, as shown in FIG.

[0032] When the upper half casing 30U deformed as described above is fastened to the lower half casing 30L deformed as described above and the casing 30 is in a fastened state, as shown in Figure 5, the positions of the lower flange surface 33L and the upper flange surface 33U in the vertical direction Dz further change depending on their positions in the axial direction Dy.

[0033] The radial distance Dr between the stationary parts attached to the casing 30 and the rotor 15 needs to be within a predetermined allowable range. Specifically, for example, the distance between the rotor shaft 16 and the first and second shaft seal devices 13a and 13b, which are types of stationary parts, and the distance between the seal device 25 of the diaphragm 20 and the rotor shaft 16 need to be within a predetermined allowable range. However, even if shape data for the open lower half casing 30L and the upper half casing 30U are available, if the casing 30 changes from the open state to the closed state and the shapes of the lower half casing 30L and the upper half casing 30U change, the radial distance Dr between the stationary parts and the rotor 15 changes, and this distance may fall outside the allowable range.

[0034] The inventors discovered that the change in the radial distance Dr between the stationary components and the rotor 15 due to the deformation of the lower half casing 30L and the upper half casing 30U caused by changing from the open state to the fastened state is dominant over the deformation of the lower flange surface 33L and the upper flange surface 33U. Therefore, the inventors estimated the amount of displacement of the lower flange surface 33L and the amount of displacement of the upper flange surface 33U caused by changing from the open state to the fastened state, and based on these displacement amounts, determined the radial distance Dr between the stationary components and the rotor 15 in the fastened state.

[0035] Hereinafter, a flange displacement amount estimation device and a flange displacement amount estimation method for estimating the displacement amounts of the lower flange surface 33L and the upper flange surface 33U will be described.

[0036] [Embodiment of Flange Displacement Amount Estimation Device] A flange displacement amount estimation device according to this embodiment will be described with reference to FIG.

[0037] The flange displacement estimation device 50 is a computer that includes a CPU (Central Processing Unit) 60 that performs various calculations, a memory 57 that serves as a work area or the like for the CPU 60, an auxiliary storage device 58 such as a hard disk drive device, a manual input device (input device) 51 such as a keyboard or a mouse, a display device (output device) 52, an input / output interface 53 for the manual input device 51 and the display device 52, a device interface (input device) 54 for transmitting and receiving data to and from a three-dimensional shape measuring device 69 such as a three-dimensional laser measuring device, a communication interface (input / output device) 55 for communicating with the outside via a network N, and a storage / playback device (input / output device) 56 that stores and plays back data on a disk-type storage medium D, which is a type of non-transitory storage medium.

[0038] The auxiliary storage device 58 pre-stores a flange displacement estimation program 58p and reference three-dimensional shape data 58d for each of the multiple components constituting the steam turbine 10. The reference three-dimensional shape data 58d may be three-dimensional design data or, for example, three-dimensional data obtained by actual measurement before the steam turbine 10 is shipped from the factory. In other words, the reference three-dimensional shape data 58d may be three-dimensional data obtained before operation prior to a periodic inspection. From the reference three-dimensional shape data 58d, three-dimensional coordinate data for each position of each of the multiple components can be obtained. The flange displacement estimation program 58p is loaded into the auxiliary storage device 58 from a disk-type storage medium D, which is a type of non-transitory storage medium, via the storage / reproduction device 56, for example. The flange displacement estimation program 58p may also be loaded into the auxiliary storage device 58 from an external device via the communication interface 55.

[0039] The CPU 60 functionally has a measured coordinate receiving unit 61, an effective coordinate grasping unit 62, a coordinate changing unit 63, and a displacement amount calculation unit 64. The effective coordinate grasping unit 62 has a primary processing unit 62a and a secondary processing unit 62b. Each of these functional units 61 to 64 functions when the CPU 60 executes a flange displacement amount estimation program 58p stored in the auxiliary storage device 58. The operation of each of these functional units 61 to 64 will be described later.

[0040] [Embodiment of Flange Displacement Amount Estimation Method] A flange displacement amount estimation method according to this embodiment will be described with reference to the flowchart shown in Fig. 7. This flange displacement amount estimation method is executed by the flange displacement amount estimation device described above.

[0041] The steam turbine 10 is disassembled and reassembled each time an inspection or the like is performed. When disassembly of the steam turbine 10 is complete, the upper half casing 30U is removed from the lower half casing 30L, as shown in FIG. 4 . As a result, the casing 30 is in an open state in which the upper half casing 30U and the lower half casing 30L are not fastened together by the bolts 39. Furthermore, the rotor 15, the multiple diaphragms 20, the first shaft seal device 13a, and the second shaft seal device 13b are removed from the casing 30 and disposed outside the casing 30. Note that, although the lower half casing 30L may be removed from the frame 11 when disassembly of the steam turbine 10 is complete, it is assumed here that the lower half casing 30L is supported by the frame 11.

[0042] After disassembling the steam turbine 10 as described above and opening the casing 30, the worker uses a three-dimensional shape measuring device 69, such as a three-dimensional laser measuring device, to measure three-dimensional coordinate values ​​at multiple positions on the upper flange surface 33U and at multiple positions on the lower flange surface 33L. The worker then transfers the three-dimensional coordinate values ​​at multiple positions on the upper flange surface 33U and at multiple positions on the lower flange surface 33L as measured three-dimensional coordinate data from the three-dimensional shape measuring device 69 to the flange displacement estimation device 50. The measured coordinate receiving unit 61 of the flange displacement estimation device 50 receives the measured three-dimensional coordinate data at multiple positions on the upper flange surface 33U and the measured three-dimensional coordinate data at multiple positions on the lower flange surface 33L (measured coordinate receiving step S1).

[0043] The three-dimensional coordinate data in this embodiment includes coordinate values ​​indicating the position in the axial direction Dy extending horizontally, coordinate values ​​indicating the position in the up-down direction Dz perpendicular to the axial direction Dy, and coordinate values ​​indicating the position in the lateral direction Dx extending horizontally and perpendicular to the axial direction Dy.

[0044] When the measured coordinate receiving unit 61 receives the plurality of measured three-dimensional coordinate data, the valid coordinate grasping unit 62 of the flange displacement estimation device 50 uses the plurality of measured three-dimensional coordinate data to grasp valid three-dimensional coordinate data for the plurality of lower target positions 71L, the lower first position 72La, the lower second position 72Lb, the plurality of upper target positions 71U, the upper first position 72Ua, and the upper second position 72Ub, as shown in FIG. 8 (valid coordinate grasping step S2). Here, the valid three-dimensional coordinate data refers to three-dimensional coordinate data of points on the lower flange surface 33L and the upper flange surface 33U, including virtual surfaces, calculated based on the plurality of received measured three-dimensional coordinate data. This data is necessary to estimate the displacement of the lower flange surface 33L and the upper flange surface 33U due to the change from the open state to the fastened state. The method for grasping the valid three-dimensional coordinate data will be described in detail later.

[0045] Here, the lower first position 72La is a position on a surface continuous with the lower flange surface 33L that is horizontally aligned with the first representative position 74a of the first supported portion 35a. The first representative position 74a is a position on the first supported portion 35a where the greatest load is applied. The lower second position 72Lb is a position on a surface continuous with the lower flange surface 33L that is horizontally aligned with the second representative position 74b of the second supported portion 35b. The second representative position 74b is a position on the second supported portion 35b where the greatest load is applied. Note that the "surface continuous with the lower flange surface 33L" may be an actual surface or a virtual surface. In this embodiment, the upper surface 35ap of the first supported portion 35a and the upper surface 35bp of the second supported portion 35b are surfaces continuous with the lower flange surface 33L. The lower target positions 71L are positions on the lower flange surface 33L where the displacement in the vertical direction Dz is desired when the casing 30 changes from the open state to the fastened state. Here, the position on the lower flange surface 33L where the displacement in the vertical direction Dz is desired is the position on the lower flange surface 33L where the stationary component storage section 36 is formed in the axial direction Dy, which is the position of the inner edge of the lower flange surface 33L. The upper first position 72Ua is a position on a surface continuous with the upper flange surface 33U that is horizontally aligned with the first representative position 74a of the first supported portion 35a. The upper second position 72Ub is a position on a surface continuous with the upper flange surface 33U that is horizontally aligned with the second representative position 74b of the second supported portion 35b. The "surface continuous with the upper flange surface 33U" may be an actual surface or a virtual surface. The upper target positions 71U are positions on the upper flange surface 33U where it is desired to obtain the displacement amount in the up-down direction Dz when the casing 30 changes from the open state to the fastened state. Here, the position on the upper flange surface 33U where it is desired to obtain the displacement amount in the up-down direction Dz is the position on the upper flange surface 33U where the stationary part storage section 36 is formed in the axial direction Dy, that is, the position of the inner edge of the upper flange surface 33U.

[0046] The horizontal positions of the plurality of upper target positions 71U all coincide with any one of the plurality of lower target positions 71L. Here, "coincidence of the horizontal positions" not only means that the coordinate values ​​indicating the positions in the axial direction Dy are the same and the coordinate values ​​indicating the positions in the lateral direction Dx are the same, but also means that the coordinate values ​​indicating the positions in the axial direction Dy are substantially the same and the coordinate values ​​indicating the positions in the lateral direction Dx are substantially the same.

[0047] The change in the radial distance Dr between the stationary parts and the rotor 15 due to the deformation of the lower half casing 30L and the upper half casing 30U when they are changed from the open state to the fastened state is dominant over the deformation of the position of the inner edge of the lower flange surface 33L at the position where the stationary parts storage section 36 is formed in the axial direction Dy on the lower flange surface 33L, and the deformation of the position of the inner edge of the upper flange surface 33U at the position where the stationary parts storage section 36 is formed in the axial direction Dy on the upper flange surface 33U. Therefore, the lower target position 71L where it is desired to obtain the displacement amount in the vertical direction Dz is set to the above-mentioned position, and the upper target position 71U where it is desired to obtain the displacement amount in the vertical direction Dz is set to the above-mentioned position.

[0048] The lower target position 71L does not have to be the position of the inner edge of the lower flange surface 33L, and may be, for example, any position within a range from the inner edge of the lower flange surface 33L to a position one-third of the flange width in the flange width direction. Similarly, the upper target position 71U does not have to be the position of the inner edge of the upper flange surface 33U, and may be, for example, any position within a range from the inner edge of the upper flange surface 33U to a position one-third of the flange width in the flange width direction.

[0049] Next, the coordinate modification unit 63 of the flange displacement estimation device 50 modifies the valid three-dimensional coordinate data grasped by the valid coordinate grasping unit 62 (coordinate modification step S3). Specifically, as shown in Fig. 9 , the coordinate modification unit 63 modifies the valid three-dimensional coordinate data grasped by the valid coordinate grasping unit 62 by coordinate transformation such as translation and / or rotation so that the valid three-dimensional coordinate data of the lower first position 72La coincides with the valid three-dimensional coordinate data of the upper first position 72Ua and the valid three-dimensional coordinate data of the lower second position 72Lb coincides with the valid three-dimensional coordinate data of the upper second position 72Ub.

[0050] Next, the displacement amount calculation unit 64 of the flange displacement amount estimation device 50 uses the effective three-dimensional coordinate data changed by the coordinate change unit 63 to calculate the displacement amount in the up-down direction Dz of the lower target position 71L on the lower flange 32L and the displacement amount in the up-down direction Dz of the upper target position 71U on the upper flange 32U, and outputs these displacement amounts in response to an external request (displacement amount calculation step S4). Specifically, the displacement amount calculation unit 64 determines the displacement amount Zd in the up-down direction Dz of the lower target position 71L and the upper target position 71U as half the difference between the coordinate value ZL in the up-down direction Dz included in the effective three-dimensional coordinate data of the lower target position 71L after the coordinate change and the coordinate value ZU in the up-down direction Dz included in the effective three-dimensional coordinate data of the upper target position 71U after the coordinate change, as shown in the following equation: Zd = (ZL - ZU) / 2

[0051] This completes the flange displacement amount estimation device 50 estimating the displacement amounts in the up-down direction Dz at the lower target position 71L of the lower flange 32L and the lower target position 71L of the upper target position 71U.

[0052] Next, a method for grasping multiple types of valid three-dimensional coordinate data in the valid coordinate grasping unit 62 will be described.

[0053] "First grasping method" In the first grasping method, the primary processing unit 62a of the effective coordinate grasping unit 62 performs a primary processing step, and the secondary processing unit 62b of the effective coordinate grasping unit 62 performs a secondary processing step to grasp effective three-dimensional coordinate data at the lower first position 72La, the lower second position 72Lb, the plurality of lower target positions 71L, the upper first position 72Ua, the upper second position 72Ub, and the plurality of upper target positions 71U.

[0054] In the primary processing step, as shown in FIG. 8 , the primary processing unit 62a of the valid coordinate grasping unit 62 grasps valid three-dimensional coordinate data for a plurality of lower target positions 71L, a lower edge first position 73La, a lower edge second position 73Lb, a plurality of upper target positions 71U, an upper edge first position 73Ua, and an upper edge second position 73Ub. Here, the lower edge first position 73La is the position of the boundary with the first supported portion 35a on the lower flange surface 33L. The lower edge second position 73Lb is the position of the boundary with the second supported portion 35b on the lower flange surface 33L. The upper edge first position 73Ua is the position on the upper flange surface 33U that is horizontally aligned with the lower edge first position 73La. The upper edge second position 73Ub is the position on the upper flange surface 33U that is horizontally aligned with the lower edge second position 73Lb.

[0055] When the first grasping method is executed in the valid coordinate grasping step S2, the measured three-dimensional coordinate data for the plurality of lower target positions 71L, the lower edge first position 73La, the lower edge second position 73Lb, the plurality of upper target positions 71U, the upper edge first position 73Ua, and the upper edge second position 73Ub is accepted in the measured coordinate accepting step S1. In the valid coordinate grasping step S2, the primary processing unit 62a directly regards the measured three-dimensional coordinate data for the plurality of lower target positions 71L, the lower edge first position 73La, the lower edge second position 73Lb, the plurality of upper target positions 71U, the upper edge first position 73Ua, and the upper edge second position 73Ub accepted in the measured coordinate accepting step S1 as valid three-dimensional coordinate data for the plurality of lower target positions 71L, the lower edge first position 73La, the lower edge second position 73Lb, the plurality of upper target positions 71U, the upper edge first position 73Ua, and the upper edge second position 73Ub.

[0056] The valid coordinate grasping unit 62 can obtain three-dimensional coordinate data of the plurality of lower target positions 71L, the lower edge first position 73La, the lower edge second position 73Lb, the plurality of upper target positions 71U, the upper edge first position 73Ua, and the upper edge second position 73Ub at the time of creation of the reference three-dimensional shape data 58d stored in the auxiliary storage device 58. Therefore, the valid coordinate grasping unit 62 recognizes the measured three-dimensional coordinate data of one lower target position 71L from the measured three-dimensional coordinate data of the plurality of positions accepted by the measured coordinate accepting unit 61, for example, as follows: The valid coordinate grasping unit 62 extracts, from the measured three-dimensional coordinate data of the plurality of positions accepted by the measured coordinate accepting unit 61, measured three-dimensional coordinate data whose horizontal coordinate values ​​match the three-dimensional coordinate data of one lower target position 71L indicated by the reference three-dimensional shape data 58d, and recognizes this measured three-dimensional coordinate data as the measured three-dimensional coordinate data of one lower target position 71L.

[0057] In the secondary processing step, the secondary processing unit 62b of the valid coordinate grasping unit 62 estimates valid three-dimensional coordinate data at the lower first position 72La and the lower second position 72Lb using valid three-dimensional coordinate data at the plurality of lower target positions 71L, lower edge first positions 73La, and lower edge second positions 73Lb. Furthermore, the secondary processing unit 62b estimates valid three-dimensional coordinate data at the upper first position 72Ua and the upper second position 72Ub using valid three-dimensional coordinate data at the plurality of upper target positions 71U, upper edge first positions 73Ua, and upper edge second positions 73Ub.

[0058] When the secondary processing unit 62b estimates the valid three-dimensional coordinate data at the lower first position 72La and the lower second position 72Lb, as shown in FIG. 10 , the secondary processing unit 62b uses the valid three-dimensional coordinate data at the multiple lower target positions 71L, the lower edge first position 73La, and the lower edge second position 73Lb to calculate a higher-order function F, such as a quadratic function, that approximately represents the surface shape of the lower flange surface 33L. The secondary processing unit 62b uses this higher-order function F to extrapolate the coordinate values ​​in the up-down direction Dz relative to the horizontal coordinate values ​​of the lower first position 72La indicated by the reference three-dimensional shape data 58d. The secondary processing unit 62b then replaces the coordinate values ​​in the up-down direction Dz, among the coordinate values ​​in each direction for the lower first position 72La indicated by the reference three-dimensional shape data 58d, with the previously calculated coordinate values ​​in the up-down direction Dz, and defines this as the valid three-dimensional coordinate data for the lower first position 72La. Furthermore, the secondary processing unit 62b uses this higher-order function F to determine the coordinate value in the up-down direction Dz relative to the horizontal coordinate value of the lower second position 72Lb indicated by the reference three-dimensional shape data 58d.The secondary processing unit 62b then replaces the coordinate value in the up-down direction Dz, among the coordinate values ​​in each direction for the lower second position 72Lb indicated by the reference three-dimensional shape data 58d, with the coordinate value in the up-down direction Dz previously determined, and sets this as the valid three-dimensional coordinate data for the lower second position 72Lb.In the same manner as above, the secondary processing unit 62b determines the valid three-dimensional coordinate data for the upper first position 72Ua and the upper second position 72Ub.

[0059] In the above, the surface shapes of the lower flange surface 33L and the upper flange surface 33U are approximated by a higher-order function F. However, as shown in FIG. 11 , the surface shapes of a portion of the lower flange surface 33L and a portion of the upper flange surface 33U may also be approximated by a linear function. In this case, the secondary processing unit 62b uses valid three-dimensional coordinate data for the lower target positions 71L that are closest to the first lower edge position 73La among the plurality of lower target positions 71L and the lower edge first position 73La to approximate the surface shape of the lower flange surface 33L near the first lower edge position 73La by a linear function Fa. Then, the linear function Fa is used to calculate the coordinate value of the lower first position 72La in the up-down direction Dz. Furthermore, the secondary processing unit 62b uses the effective three-dimensional coordinate data for the lower target positions 71L that are closest to the second lower edge position 73Lb and the lower target positions 71L to approximate the surface shape of the lower flange surface 33L near the second lower edge position 73Lb with a linear function Fb. Then, the secondary processing unit 62b uses the linear function Fb to calculate the coordinate value of the second lower edge position 72Lb in the up-down direction Dz.

[0060] As a result, valid three-dimensional coordinate data is grasped for the lower first position 72La, the lower second position 72Lb, the plurality of lower target positions 71L, the upper first position 72Ua, the upper second position 72Ub, and the plurality of upper target positions 71U.

[0061] As described above, the first grasping method can reduce the number of three-dimensional coordinate data items to be handled, thereby reducing the effort required for workers to measure three-dimensional coordinate values ​​and reducing the calculation load on the computer.

[0062] In the above, the coordinate values ​​of the lower first position 72La and the lower second position 72Lb in the up-down direction Dz are estimated. However, if the measured three-dimensional coordinate data of the lower first position 72La on the upper surface 35ap of the first supported portion 35a that is connected to the lower flange surface 33L and the measured three-dimensional coordinate data of the lower second position 72Lb on the upper surface 35bp of the second supported portion 35b that is connected to the lower flange surface 33L are received in the measured coordinate receiving step S1, these measured three-dimensional data may be directly used as the valid three-dimensional coordinate data of the lower first position 72La and the valid three-dimensional coordinate data of the lower second position 72Lb, respectively.

[0063] As described above, the upper half casing 30U may also have a first supported portion and a second supported portion connected to the upper flange 32U. In this case, when the measured three-dimensional coordinate data of the upper first position 72Ua on the underside of the first supported portion connected to the upper flange surface 33U and the measured three-dimensional coordinate data of the upper second position 72Ub on the underside of the second supported portion connected to the upper flange surface 33U are received in the measured coordinate receiving step S1, these measured three-dimensional data may be directly used as the valid three-dimensional coordinate data of the upper first position 72Ua and the valid three-dimensional coordinate data of the upper second position 72Ub, respectively.

[0064] "Second Recognition Method" In the second recognition method, as well as in the third and fourth recognition methods described below, the primary processing unit 62a of the valid coordinate recognition unit 62 performs the primary processing step, and the secondary processing unit 62b of the valid coordinate recognition unit 62 performs the secondary processing step, just like in the first recognition method. The secondary processing step in the second, third, and fourth recognition methods is almost the same as the secondary processing step in the first recognition method. Therefore, the primary processing step will be mainly described below.

[0065] When the second grasping method is executed in the valid coordinate grasping step S2, the measured three-dimensional coordinate data at the following positions shown in Fig. 12 is received in the measured coordinate receiving step S1: a. For each of the plurality of lower target positions 71L, measured three-dimensional coordinate data at a plurality of positions 78 on a lower virtual line 76L that passes through the lower target position 71L and extends in the flange width direction; b. For each of the plurality of upper target positions 71U, measured three-dimensional coordinate data at a plurality of positions 78 on an upper virtual line 76U that passes through the upper target position 71U and extends in the flange width direction; c. Measured three-dimensional coordinate data at a plurality of positions 78 on a lower first virtual line 77La that passes through the lower edge first position 73La and extends in the flange width direction; d. Measured three-dimensional coordinate data at a plurality of positions 78 on a lower second virtual line 77Lb that passes through the lower edge second position 73Lb and extends in the flange width direction; e. f. Measured three-dimensional coordinate data at a plurality of positions 78 on an upper first virtual line 77Ua that passes through the upper edge first position 73Ua and extends in the flange width direction; f. Measured three-dimensional coordinate data at a plurality of positions 78 on an upper second virtual line 77Ub that passes through the upper edge second position 73Ub and extends in the flange width direction.

[0066] Here, the flange width direction is the direction along the flange surface connecting the outer edge and inner edge of the flange surface, and is the direction in which the distance from the reference position to the outer edge or inner edge of the flange surface is shortest. The reference positions are the upper target position 71U, the lower target position 71L, the lower edge first position 73La, the lower edge second position 73Lb, the upper edge first position 73Ua, and the upper edge second position 73Ub. Furthermore, the "YY position" on the "Z virtual latitude line passing through the YY position and extending in the flange width direction" above is the "YY position" indicated by the reference three-dimensional shape data 58d. Furthermore, the number of positions on the virtual line for which actual measured three-dimensional coordinate data is accepted in the measured coordinate accepting process S1 is, for example, 2 or more and less than 10.

[0067] In the primary processing step of the second grasping method, the primary processing unit 62a of the valid coordinate grasping unit 62 grasps valid three-dimensional coordinate data at the plurality of lower target positions 71L, the first lower edge position 73La, the second lower edge position 73Lb, the plurality of upper target positions 71U, the first upper edge position 73Ua, and the second upper edge position 73Ub, using the plurality of actual measured three-dimensional coordinate data received in the actual measured coordinate receiving step S1. In other words, the primary processing unit 62a grasps valid three-dimensional coordinate data at all of the above-mentioned reference positions.

[0068] 13 , the primary processing unit 62a uses measured three-dimensional coordinate data at a plurality of positions 78 on a virtual line 76 that passes through the reference position 71 and extends in the flange width direction Dw to determine a function F2 that approximately indicates the coordinate values ​​in the up-down direction Dz at the plurality of positions 78 on the virtual line 76. The primary processing unit 62a uses this function F2 to determine the coordinate values ​​in the up-down direction Dz at the reference position 71 by extrapolation. Then, the primary processing unit 62a replaces the coordinate values ​​in the up-down direction Dz, among the coordinate values ​​in each direction for the reference position 71 indicated by the reference three-dimensional shape data 58d, with the coordinate values ​​in the up-down direction Dz that were previously determined, and sets this as valid three-dimensional coordinate data for the reference position 71.

[0069] In the secondary processing step of the second grasping method, similarly to the secondary processing step of the first grasping method, the secondary processing unit 62b of the valid coordinate grasping unit 62 estimates valid three-dimensional coordinate data at the lower first position 72La and the lower second position 72Lb using valid three-dimensional coordinate data at the plurality of lower target positions 71L, lower edge first positions 73La, and lower edge second positions 73Lb. Furthermore, the secondary processing unit 62b estimates valid three-dimensional coordinate data at the upper first position 72Ua and the upper second position 72Ub using valid three-dimensional coordinate data at the plurality of upper target positions 71U, upper edge first positions 73Ua, and upper edge second positions 73Ub.

[0070] As a result, valid three-dimensional coordinate data is grasped for the lower first position 72La, the lower second position 72Lb, the plurality of lower target positions 71L, the upper first position 72Ua, the upper second position 72Ub, and the plurality of upper target positions 71U.

[0071] In the first grasping method, the measured three-dimensional coordinate data of the reference position is used as the valid three-dimensional coordinate data of this reference position. Therefore, the valid three-dimensional coordinate data of the reference position is susceptible to local shape changes and may contain large measurement errors. For example, if the three-dimensional shape measuring device 69 is a three-dimensional laser measuring device, if a minute floating object exists between the measurement target and the three-dimensional laser measuring device, the three-dimensional position data measured by the three-dimensional laser measuring device will contain errors. In contrast, in the second grasping method, the three-dimensional coordinate data of the reference position 71 is estimated from the measured three-dimensional coordinate data at multiple positions, and this three-dimensional coordinate data is used as the valid three-dimensional coordinate data. Therefore, the second grasping method is less susceptible to local shape changes than the first grasping method and can reduce the possibility of large measurement errors.

[0072] In the above, the coordinate values ​​of the lower first position 72La and the lower second position 72Lb in the up-down direction Dz are estimated. However, if the following measured three-dimensional coordinate data is received in the measured coordinate receiving step S1, the effective three-dimensional coordinate data of the lower first position 72La and the lower second position 72Lb may be calculated using the measured three-dimensional coordinate data in a manner similar to the method used to calculate the effective three-dimensional coordinate data of the reference position 71 described above: a. Measured three-dimensional coordinate data at multiple positions on a virtual line that passes through the lower first position 72La and extends in the protruding direction of the first supported portion 35a; b. Measured three-dimensional coordinate data at multiple positions on a virtual line that passes through the lower second position 72Lb and extends in the protruding direction of the second supported portion 35b. Here, the protruding direction of the supported portions 35a, 35b refers to the direction in which the supported portions 35a, 35b protrude from the flanges along the upper surfaces 35ap, 35bp of the supported portions 35a, 35b.

[0073] As described above, the upper half casing 30U may also have a first supported portion and a second supported portion connected to the upper flange 32U. In this case, when the following measured three-dimensional coordinate data is received in the measured coordinate receiving step S1, the effective three-dimensional coordinate data of the upper first position 72Ua and the upper second position 72Ub may be obtained using this measured three-dimensional coordinate data in a manner similar to the manner in which the effective three-dimensional coordinate data of the reference position described above is obtained: a. measured three-dimensional coordinate data at a plurality of positions on a virtual line that passes through the upper first position 72Ua and extends in the protruding direction of the first supported portion b. measured three-dimensional coordinate data at a plurality of positions on a virtual line that passes through the upper second position 72Ub and extends in the protruding direction of the second supported portion

[0074] "Third Grasping Method" When the third grasping method is executed in the valid coordinate grasping step S2, the measured coordinate receiving step S1 receives measured three-dimensional coordinate data at a plurality of positions 78 throughout the lower flange surface 33L and measured three-dimensional coordinate data at a plurality of positions throughout the upper flange surface 33U, as shown in Figures 14 and 15. Note that Figure 15 is an image diagram showing the relative positional relationship between the flange surface 80 and reference position 81 indicated by the reference three-dimensional shape data 58d and points 85 indicated by the measured three-dimensional coordinate data at a plurality of positions throughout the actual flange surface.

[0075] In the primary processing step of the third grasping method, similarly to the primary processing steps of the above grasping methods, the primary processing unit 62a of the valid coordinate grasping unit 62 grasps valid three-dimensional coordinate data at the plurality of lower target positions 71L, the lower edge first position 73La, the lower edge second position 73Lb, the plurality of upper target positions 71U, the upper edge first position 73Ua, and the upper edge second position 73Ub. In other words, the primary processing unit 62a grasps valid three-dimensional coordinate data at all of the above-mentioned reference positions 71.

[0076] In this primary processing step, the primary processing unit 62a first creates multiple polygon data sets using measured three-dimensional coordinate data sets at multiple positions across the entire flange surface, as shown in Figure 16. Polygon data sets are data sets that define the plane of a polygon. The primary processing unit 62a connects multiple points 85 that are close to each other among the points 85 indicated by the measured three-dimensional coordinate data sets at the multiple positions with line segments, and defines the polygonal plane enclosed by these line segments as a polygon 86.

[0077] The primary processing unit 62a then extracts, from the plurality of polygon data, a plurality of polygon data satisfying a certain condition, as shown in FIG. 17 . In FIG. 17 , a pattern is applied to polygons 86a identified by the extracted polygon data, while no pattern is applied to polygons 86b identified by the non-extracted polygon data. The XY plane in FIG. 17 is a plane parallel to the flange surface 80 represented by the reference three-dimensional shape data 58d. The aforementioned condition is that the inclination of the polygon 86 identified by the polygon data relative to the flange surface 80 represented by the reference three-dimensional shape data 58d is within a predetermined inclination. The primary processing unit 62a first calculates the normal n of each of the plurality of polygons 86. Next, the primary processing unit 62a calculates the angle α between the normal p to the flange surface 80 represented by the reference three-dimensional shape data 58d and the normal n of the polygon 86 for each of the plurality of polygons 86. Then, the primary processing unit 62a extracts from the plurality of polygon data pieces a plurality of polygon data pieces in which the angle α between the perpendicular p to the flange surface 80 and the normal n of the polygon 86 is within a predetermined angle (predetermined inclination).

[0078] This data extraction process is performed to exclude measured three-dimensional coordinate data of points on the wall of the flange surface edge and points on the inner peripheral surface of the bolt hole 34 that penetrates the flange surface from the measured three-dimensional coordinate data of the multiple points 85 received in the measured coordinate receiving step S1. Therefore, the number of points 85 after this extraction process is fewer than the number of points 85 before, as shown in Figure 18. In particular, with respect to the surface 82 that is inclined with respect to the flange surface 80 in the reference shape model represented by the reference three-dimensional shape data 58d, the number of points 85 after the extraction process is significantly fewer than the number of points 85 before.

[0079] 19 , the primary processing unit 62a next divides the virtual three-dimensional space including the flange surface 80 into a plurality of three-dimensional blocks 83. Then, the primary processing unit 62a determines a representative point 87 in the target three-dimensional block 83 for each of the plurality of three-dimensional blocks 83. Specifically, the primary processing unit 62a determines the median point of the plurality of points 85 included in the target three-dimensional block 83 from among the plurality of points 85 included in the polygon 86a specified by the plurality of polygon data extracted in the extraction process as the representative point 87 in the target three-dimensional block 83.

[0080] The representative point 87 may be determined by a robust estimation or a biweight estimation based on the Lorentz distribution of a plurality of points 85 included in the polygon 86a specified by a plurality of polygon data extracted in the extraction process.

[0081] The primary processing unit 62a connects the representative points 87 of each of the multiple three-dimensional blocks 83 with planes or curved surfaces that serve as complementary surfaces, and creates surface shape data for complementary surfaces that include the representative points 87 of each of the multiple three-dimensional blocks 83. This surface shape data is expressed as a function F3 that indicates the shape of the entire flange surface. The effective coordinate grasping unit 62 uses the surface shape data of the entire flange surface expressed as function F3 to determine the effective three-dimensional coordinate data at the reference position 71 described above.

[0082] In the secondary processing step of the third grasping method, similarly to the secondary processing steps of the first and second grasping methods, the secondary processing unit 62b of the valid coordinate grasping unit 62 estimates valid three-dimensional coordinate data at the lower first position 72La and the lower second position 72Lb using valid three-dimensional coordinate data at the plurality of lower target positions 71L, lower edge first positions 73La, and lower edge second positions 73Lb. Furthermore, the secondary processing unit 62b estimates valid three-dimensional coordinate data at the upper first position 72Ua and the upper second position 72Ub using valid three-dimensional coordinate data at the plurality of upper target positions 71U, upper edge first positions 73Ua, and upper edge second positions 73Ub.

[0083] As a result, valid three-dimensional coordinate data is grasped for the lower first position 72La, the lower second position 72Lb, the plurality of lower target positions 71L, the upper first position 72Ua, the upper second position 72Ub, and the plurality of upper target positions 71U.

[0084] The third grasping method is less susceptible to local shape changes than the second grasping method, and can reduce the possibility of large measurement errors. Furthermore, the third grasping method can grasp valid 3D coordinate data at the reference position even when there is widespread data loss due to obstacles, etc.

[0085] In the above, the coordinate values ​​of the lower first position 72La and the lower second position 72Lb in the up-down direction Dz are estimated. However, if measured three-dimensional coordinate data at multiple positions across the entire upper surface 35ap of the first supported portion 35a and multiple positions across the entire upper surface 35bp of the second supported portion 35b is received in the measured coordinate receiving step S1, the effective three-dimensional coordinate data of the lower first position 72La and the lower second position 72Lb may be obtained using the following method. Specifically, first, the overall surface shape data of the upper surface 35ap of the first supported portion 35a, the upper surface 35bp of the second supported portion 35b, and the lower flange surface 33L is obtained, including the measured three-dimensional coordinate data at multiple positions across the entire upper surface 35ap of the first supported portion 35a and multiple positions across the entire upper surface 35bp of the second supported portion 35b. Then, the effective three-dimensional coordinate data of the lower first position 72La and the lower second position 72Lb is obtained using the surface shape data of the entire surface expressed as a function.

[0086] As described above, the upper half casing 30U may also have a first supported portion and a second supported portion connected to the upper flange 32U. In this case, the measured coordinate receiving step S1 may receive measured three-dimensional coordinate data at multiple positions across the entire lower surface of the first supported portion connected to the upper flange 32U and multiple positions across the entire lower surface of the second supported portion connected to the upper flange 32U, and calculate effective three-dimensional coordinate data for the upper first position 72Ua and the upper second position 72Ub using the following method. Specifically, first, the overall surface shape data of the lower surface of the first supported portion, the lower surface of the second supported portion, and the upper flange surface 33U is calculated, including the measured three-dimensional coordinate data at multiple positions across the entire lower surface of the first supported portion and multiple positions across the entire lower surface of the second supported portion. Then, the effective three-dimensional coordinate data for the upper first position 72Ua and the upper second position 72Ub is calculated using the surface shape data of the entire surface expressed as a function.

[0087] "Fourth Grasping Method" When the fourth grasping method is executed in the valid coordinate grasping step S2, as shown in FIGS. 20 and 21 , the measured coordinate receiving step S1 receives measured three-dimensional coordinate data at multiple positions 78 in a reference measurement area 79 on the flange surface, including the reference position 71. Note that FIG. 21 is an image diagram showing the relative positional relationship between the flange surface 80 indicated by the reference three-dimensional shape data 58d and points 85 indicated by measured three-dimensional coordinate data at multiple positions in the reference measurement area 79 on the actual flange surface. Here, as shown in FIG. 20 , for example, the reference measurement area 79 is an area within a distance of 1 / 20 to 1 / 2 of the flange width at the reference position 71, starting from the reference position 71. Therefore, the reference measurement area 79 is both a lower measurement area including the lower target position 71L on the lower flange surface 33L and an upper measurement area including the upper target position 71U on the upper flange surface 33U. The three-dimensional coordinate data of the reference position 71 here is the three-dimensional coordinate data of the reference position indicated by the reference three-dimensional shape data 58d. Furthermore, the number of measured three-dimensional coordinate data within the reference measurement region 79 accepted in the measured coordinate accepting step S1 is, for example, 10 or more. Therefore, the number of measured three-dimensional coordinate data within the reference measurement region 79 accepted in the measured coordinate accepting step S1 of the fourth grasping method is greater than the number of measured three-dimensional coordinate data of the position on the virtual line accepted in the measured coordinate accepting step S1 of the second grasping method.

[0088] In the primary processing step of the fourth grasping method, similarly to the primary processing steps of the above grasping methods, the primary processing unit 62a of the valid coordinate grasping unit 62 grasps valid three-dimensional coordinate data at the plurality of lower target positions 71L, the lower edge first position 73La, the lower edge second position 73Lb, the plurality of upper target positions 71U, the upper edge first position 73Ua, and the upper edge second position 73Ub. In other words, the primary processing unit 62a grasps valid three-dimensional coordinate data at all of the above-mentioned reference positions 71.

[0089] In this primary processing step, the primary processing unit 62a first creates a plurality of polygon data sets using measured three-dimensional coordinate data sets at a plurality of positions 78, as in the primary processing step in the third grasping method, and then extracts a plurality of polygon data sets that satisfy certain conditions from the plurality of polygon data sets. As a result, the number of points 85 indicated by the measured three-dimensional coordinate data sets after this extraction process is less than the number of points 85 before the extraction process, as shown in FIG.

[0090] Next, as in the primary processing step in the third grasping method, the primary processing unit 62a divides the virtual three-dimensional space including the flange surface 80 into a plurality of three-dimensional blocks 83 as shown in Fig. 23. Then, for each of the plurality of three-dimensional blocks 83, the primary processing unit 62a determines a representative point 87 in the target three-dimensional block 83.

[0091] The primary processing unit 62a connects the representative points 87 of each of the multiple three-dimensional blocks 83 with planes or curved surfaces that serve as complementary surfaces, and creates surface shape data of complementary surfaces that include the representative points 87 of each of the multiple three-dimensional blocks 83. This surface shape data is expressed by a function F4 that indicates the shape within the reference measurement region 79 on the flange surface. The primary processing unit 62a uses the surface shape data expressed by the function F4 to determine the effective three-dimensional coordinate data at the reference position 71 described above.

[0092] In the secondary processing step of the fourth grasping method, similarly to the secondary processing steps of the first and second grasping methods, the secondary processing unit 62b of the valid coordinate grasping unit 62 estimates valid three-dimensional coordinate data at the lower first position 72La and the lower second position 72Lb using valid three-dimensional coordinate data at the plurality of lower target positions 71L, lower edge first positions 73La, and lower edge second positions 73Lb. Furthermore, the secondary processing unit 62b estimates valid three-dimensional coordinate data at the upper first position 72Ua and the upper second position 72Ub using valid three-dimensional coordinate data at the plurality of upper target positions 71U, upper edge first positions 73Ua, and upper edge second positions 73Ub.

[0093] As a result, valid three-dimensional coordinate data is grasped for the lower first position 72La, the lower second position 72Lb, the plurality of lower target positions 71L, the upper first position 72Ua, the upper second position 72Ub, and the plurality of upper target positions 71U.

[0094] The fourth grasping method is less susceptible to local shape changes than the second grasping method, and can reduce the possibility of large measurement errors. Furthermore, the fourth grasping method can grasp valid 3D coordinate data at the reference position even when there is extensive data loss due to obstacles, etc.

[0095] In the above, the surface shape data within the reference measurement region 79 on the flange surface is used to determine the effective three-dimensional coordinate data at the aforementioned reference position 71. However, without creating surface shape data, the coordinate value in the up-down direction Dz at the representative point 87 of a three-dimensional block 83 that includes the reference position 71 among the multiple three-dimensional blocks may be used as the coordinate value in the up-down direction Dz at the reference position 71.

[0096] In the above, the coordinate values ​​of the lower first position 72La and the lower second position 72Lb in the vertical direction Dz are estimated. However, if measured three-dimensional coordinate data at multiple positions across the entire upper surface 35ap of the first supported portion 35a and multiple positions across the entire upper surface 35bp of the second supported portion 35b are received in the measured coordinate receiving step S1, the valid three-dimensional coordinate data of the lower first position 72La and the lower second position 72Lb may be calculated using the following method. Specifically, first, multiple polygon data are created using the measured three-dimensional coordinate data at multiple positions across the entire upper surface 35ap of the first supported portion 35a, and multiple polygon data that satisfy certain conditions are extracted from the multiple polygon data. Then, a representative point is determined from the multiple points indicated by the extracted polygon data, and the coordinate value of this representative point in the vertical direction Dz is set as the coordinate value of the lower first position 72La in the vertical direction Dz. Similarly, a representative point is determined using measured three-dimensional coordinate data at multiple positions across the entire upper surface 35ap of the second supported portion 35b, and the coordinate value in the vertical direction Dz at this representative point is taken as the coordinate value in the vertical direction Dz at the lower second position 72Lb.

[0097] As described above, the upper half casing 30U may also have a first supported portion and a second supported portion connected to the upper flange 32U. In this case, in the measured coordinate receiving step S1, measured three-dimensional coordinate data is received at a plurality of positions across the entire lower surface of the first supported portion connected to the upper flange 32U and a plurality of positions across the entire lower surface of the second supported portion 35b connected to the upper flange 32U. Then, similarly to the above, representative points on each surface are determined using the received measured three-dimensional coordinate data at the plurality of positions, and the coordinate values ​​in the up-down direction Dz of the representative points on each surface are set as the coordinate values ​​in the up-down direction Dz at the upper first position 72Ua and the upper second position 72Ub, respectively.

[0098] As described above, in this embodiment, the displacement amounts in the vertical direction Dz of the upper target position 71U and the lower target position 71L when the casing 30 changes from the open state to the fastened state are calculated based on the difference between the vertical direction Dz position of the upper target position 71U, for which the displacement amount in the vertical direction Dz is desired on the upper flange surface 33U, and the vertical direction Dz position of the lower target position 71L, for which the displacement amount in the vertical direction Dz is desired on the lower flange surface 33L. Therefore, in this embodiment, the displacement amounts in the vertical direction Dz of the upper target position 71U and the lower target position 71L can be calculated using finite element models of the lower half casing 30L and the upper half casing 30U without simulating the deformation of the lower half casing 30L and the upper half casing 30U. Therefore, in this embodiment, the calculation load when calculating the displacement amounts can be reduced. Therefore, in this embodiment, the preparation period for estimating the flange surfaces can be shortened and the estimation cost can be reduced.

[0099] Although the embodiments of the present disclosure have been described in detail above, the present disclosure is not limited to the above embodiments. Various additions, modifications, substitutions, partial deletions, etc. are possible within the scope of the conceptual idea and spirit of the present invention derived from the content defined in the claims and their equivalents.

[0100] [Additional Note] The method for estimating the flange displacement amount of the rotary machine in the above embodiment can be understood, for example, as follows.

[0101] (1) A first aspect of the method for estimating flange displacement of a rotary machine is applied to the following rotary machine. This rotary machine includes a rotor 15 rotatable about an axis Ar extending horizontally, a casing 30 covering the outer periphery of the rotor 15, stationary components disposed within and attached to the casing 30, and a base 11 supporting the casing 30 from below. The casing 30 includes an upper half casing 30U on an upper side, a lower half casing 30L on a lower side, and a plurality of bolts 39 fastening the upper half casing 30U and the lower half casing 30L together. The upper half casing 30U has an upper flange 32U on which an upper flange surface 33U facing downward is formed. The lower half casing 30L has a lower flange 32L facing upward and having a lower flange surface 33L facing the upper flange surface 33U in the vertical direction Dz, and a first supported portion 35a and a second supported portion 35b connected to the lower flange 32L, supported from below by the frame 11, and spaced apart from each other in the axial direction Dy in which the axis Ar extends. The upper flange 32U and the lower flange 32L are formed with bolt holes 34 that penetrate in the vertical direction Dz and through which each of the plurality of bolts 39 can be inserted. In the above-described method for estimating flange displacement of a rotating machine, After disassembling the rotary machine, in an open state in which the upper half casing 30U and the lower half casing 30L are not fastened by the plurality of bolts 39, an actual measurement coordinate receiving step S1 receives actual measurement three-dimensional coordinate data at a plurality of positions on the upper flange surface 33U and actual measurement three-dimensional coordinate data at a plurality of positions on the lower flange surface 33L; and a lower first position 72La whose horizontal position coincides with the first representative position 74a of the support portion 35a; a lower second position 72Lb whose horizontal position coincides with the second representative position 74b of the second supported portion 35b in a plane continuous with the lower flange surface 33L; and a lower target position 71L on the lower flange surface 33L at which it is desired to obtain the displacement amount in the up-down direction Dz when the upper half casing 30U and the lower half casing 30L change from the open state to a fastened state in which they are fastened by the plurality of bolts 39.and an effective coordinate grasping step S2 for grasping effective three-dimensional coordinate data at an upper first position 72Ua whose position in the horizontal direction coincides with the first representative position 74a of the first supported portion 35a in a plane continuous with the upper flange surface 33U, an upper second position 72Ub whose position in the horizontal direction coincides with the second representative position 74b of the second supported portion 35b in a plane continuous with the upper flange surface 33U, and an upper target position 71U whose position in the horizontal direction coincides with the lower target position 71L in the upper flange surface 33U; and a coordinate change step S3 of changing the valid three-dimensional coordinate data grasped in the valid coordinate grasping step S2 so that the valid three-dimensional coordinate data of the upper first position 72Ua matches the valid three-dimensional coordinate data of the upper second position 72Lb grasped in the valid coordinate grasping step S2 matches the valid three-dimensional coordinate data of the upper second position 72Ub; and a displacement amount calculation step S4 of calculating the displacement amounts of the upper target position 71U and the lower target position 71L in the vertical direction Dz when the released state changes to the fastened state based on the difference between the position in the vertical direction Dz indicated by the valid three-dimensional coordinate data of the upper target position 71U after the coordinate change step S3 and the position in the vertical direction Dz indicated by the valid three-dimensional coordinate data of the lower target position 71L after the coordinate change step S3.

[0102] In this aspect, the displacement amounts in the vertical direction Dz of the upper target position 71U and the lower target position 71L when the casing 30 changes from the open state to the fastened state are calculated based on the difference between the vertical direction Dz position of the upper target position 71U at which the displacement amount in the vertical direction Dz when the casing 30 changes from the open state to the fastened state is desired and the vertical direction Dz position of the lower target position 71L at which the displacement amount in the vertical direction Dz when the casing 30 changes from the open state to the fastened state is desired. Therefore, in this aspect, the displacement amounts in the vertical direction Dz of the upper target position 71U and the lower target position 71L can be calculated using finite element models of the lower half casing 30L and the upper half casing 30U without simulating the deformation of the lower half casing 30L and the upper half casing 30U. Therefore, in this aspect, the calculation load when calculating the displacement amounts can be reduced.

[0103] (2) In the second aspect of the flange displacement estimation method for a rotating machine, in the first aspect of the flange displacement estimation method for a rotating machine, in the displacement calculation step S4, half of the difference is set as the displacement amount of the upper target position 71U and the displacement amount of the lower target position 71L.

[0104] (3) A third aspect of the method for estimating the flange displacement of a rotating machine is that, in the method for estimating the flange displacement of a rotating machine in the first or second aspect, the lower target position 71L is a position where the stationary part is arranged in the axial direction Dy and is also the position of the inner edge of the lower flange surface 33L.

[0105] From the viewpoint of the performance of the rotary machine, it is necessary to control the radial distance Dr between the stationary components and the rotor 15. The inventors discovered that the change in the radial distance Dr between the stationary components and the rotor 15 caused by the deformation of the lower half casing 30L and the upper half casing 30U when the casing 30 changes from an open state to a fastened state is dominated by the deformation of the position of the inner edge of the lower flange surface 33L at the position where the stationary component storage section 36 is formed in the axial direction Dy on the lower flange surface 33L, and the deformation of the position of the inner edge of the upper flange surface 33U at the position where the stationary component storage section 36 is formed in the axial direction Dy on the upper flange surface 33U. Therefore, in this aspect, the radial distance Dr between the stationary components and the rotor 15 when the casing 30 changes from an open state to a fastened state can be controlled with high precision.

[0106] (4) In a fourth aspect of the method for estimating a flange displacement amount of a rotating machine, in the method for estimating a flange displacement amount of a rotating machine according to any one of the first to third aspects, the actual measured coordinate receiving step S1 receives actual measured three-dimensional coordinate data of the lower first position 72La and the lower second position 72Lb. In the effective coordinate grasping step S2, the actual measured three-dimensional coordinate data of the lower first position 72La and the lower second position 72Lb acquired in the actual measured coordinate receiving step S1 is grasped as effective three-dimensional coordinate data of the lower first position 72La and the lower second position 72Lb.

[0107] In this embodiment, the actual measured three-dimensional coordinate data of the lower first position 72La and the lower second position 72Lb obtained in the actual measured coordinate reception process S1 is directly grasped as the effective three-dimensional coordinate data of the lower first position 72La and the lower second position 72Lb, thereby reducing the calculation load.

[0108] (5) A fifth aspect of the flange displacement estimation method for a rotating machine is the method for estimating flange displacement of a rotating machine according to any one of the first to third aspects, wherein the measured coordinate receiving step S1 receives measured three-dimensional coordinate data at a plurality of positions on an upper surface 35ap of the first supported portion 35a and measured three-dimensional coordinate data at a plurality of positions on an upper surface 35bp of the second supported portion 35b. The effective coordinate grasping step S2 obtains effective three-dimensional coordinate data of the lower first position 72La from the measured three-dimensional coordinate data at the plurality of positions on the upper surface 35ap of the first supported portion 35a acquired in the measured coordinate receiving step S1, and obtains effective three-dimensional coordinate data of the lower second position 72Lb from the measured three-dimensional coordinate data at the plurality of positions on the upper surface 35bp of the second supported portion 35b acquired in the measured coordinate receiving step S1.

[0109] In this aspect, valid three-dimensional coordinate data for the lower first position 72La is obtained from a plurality of pieces of measured three-dimensional coordinate data on the upper surface 35ap of the first supported portion 35a acquired in the measured coordinate receiving step S1, and valid three-dimensional coordinate data for the lower second position 72Lb is obtained from a plurality of pieces of measured three-dimensional coordinate data on the upper surface 35bp of the second supported portion 35b acquired in the measured coordinate receiving step S1. Thus, in this aspect, the valid three-dimensional coordinate data at the lower first position 72La and the lower second position 72Lb is less susceptible to the influence of local shape changes and the possibility of large measurement errors being included can be reduced.

[0110] (6) A sixth aspect of the method for estimating a flange displacement of a rotating machine is the method for estimating a flange displacement of a rotating machine according to any one of the first to fifth aspects, wherein the measured coordinate receiving step S1 receives measured three-dimensional coordinate data of the lower target position 71L and the upper target position 71U, and the effective coordinate grasping step S2 grasps the measured three-dimensional coordinate data of the lower target position 71L as effective three-dimensional coordinate data of the lower target position 71L, and grasps the measured three-dimensional coordinate data of the upper target position 71U acquired in the measured coordinate receiving step S1 as effective three-dimensional coordinate data of the upper target position 71U.

[0111] In this embodiment, the actual measured three-dimensional coordinate data of the lower target position 71L and the upper target position 71U obtained in the actual measured coordinate reception process S1 is directly recognized as effective three-dimensional coordinate data of the lower target position 71L and the upper target position 71U, thereby reducing the calculation load.

[0112] (7) A seventh aspect of the flange displacement estimation method for a rotating machine is the flange displacement estimation method for a rotating machine according to any one of the first to fifth aspects, wherein the measured coordinate receiving step S1 receives measured three-dimensional coordinate data at a plurality of positions on a lower virtual line 76L that passes through the lower target position 71L and extends in the flange width direction Dw, and receives measured three-dimensional coordinate data at a plurality of positions on an upper virtual line 76U that passes through the upper target position 71U and extends in the flange width direction Dw. The effective coordinate grasping step S2 obtains effective three-dimensional coordinate data for the lower target position 71L from the measured three-dimensional coordinate data at the plurality of positions on the lower virtual line 76L, and obtains effective three-dimensional coordinate data for the upper target position 71U from the measured three-dimensional coordinate data at the plurality of positions on the upper virtual line 76U.

[0113] In this aspect, valid three-dimensional coordinate data for the lower target position 71L is obtained from measured three-dimensional coordinate data at multiple positions on the lower virtual line 76L, and valid three-dimensional coordinate data for the upper target position 71U is obtained from measured three-dimensional coordinate data at multiple positions on the upper virtual line 76U. Therefore, in this aspect, the valid three-dimensional coordinate data at the lower target position 71L and the upper target position 71U is less susceptible to the effects of local shape changes and the possibility of large measurement errors being included can be reduced.

[0114] (8) In an eighth aspect, in the flange displacement estimation method for a rotating machine according to any one of the first to fifth aspects, the measured coordinate receiving step S1 receives measured three-dimensional coordinate data at a plurality of positions in a lower measurement area on the lower flange surface 33L that includes the lower target position 71L, and receives measured three-dimensional coordinate data at a plurality of positions in an upper measurement area on the upper flange surface 33U that includes the upper target position 71U. In the effective coordinate grasping step S2, effective three-dimensional coordinate data of the lower target position 71L is obtained using the measured three-dimensional coordinate data at the plurality of positions in the lower measurement area received in the measured coordinate receiving step S1, and effective three-dimensional coordinate data of the upper target position 71U is obtained using the measured three-dimensional coordinate data at the plurality of positions in the upper measurement area received in the measured coordinate receiving step S1.

[0115] In this aspect, effective three-dimensional coordinate data for the lower target position 71L is obtained from the measured three-dimensional coordinate data at multiple positions in the lower measurement region, and effective three-dimensional coordinate data for the upper target position 71U is obtained from the measured three-dimensional coordinate data at multiple positions in the upper measurement region. Therefore, in this aspect, the effective three-dimensional coordinate data for the lower target position 71L and the upper target position 71U is less susceptible to the influence of local shape changes, and the possibility of large measurement errors being included can be reduced.

[0116] (9) A ninth aspect of the flange displacement estimation method for a rotating machine is the flange displacement estimation method for a rotating machine according to any one of the first to fifth aspects, wherein the measured coordinate receiving step S1 receives measured three-dimensional coordinate data at a plurality of positions across the entire lower flange surface 33L and receives measured three-dimensional coordinate data at a plurality of positions across the entire upper flange surface 33U. The effective coordinate grasping step S2 obtains shape data of the lower flange surface 33L indicating the three-dimensional shape of the entire lower flange surface 33L using the measured three-dimensional coordinate data at the plurality of positions across the entire lower flange surface 33L received in the measured coordinate receiving step S1, and obtains shape data of the upper flange surface 33U indicating the three-dimensional shape of the entire upper flange surface 33U using the measured three-dimensional coordinate data at the plurality of positions across the entire upper flange surface 33U received in the measured coordinate receiving step S1. Furthermore, the shape data of the lower flange surface 33L is used to determine effective three-dimensional coordinate data of the lower target position 71L, and the shape data of the upper flange surface 33U is used to determine effective three-dimensional coordinate data of the upper target position 71U.

[0117] In this embodiment, valid three-dimensional coordinate data for the lower target position 71L is obtained from measured three-dimensional coordinate data at multiple positions across the entire lower flange surface 33L, and valid three-dimensional coordinate data for the upper target position 71U is obtained from measured three-dimensional coordinate data at multiple positions across the entire upper flange surface 33U. Therefore, in this embodiment, the valid three-dimensional coordinate data for the lower target position 71L and the upper target position 71U is less susceptible to local shape changes and the possibility of large measurement errors is reduced. Furthermore, in this embodiment, valid three-dimensional coordinate data for the lower target position 71L and the upper target position 71U can be obtained even if there is extensive data loss due to obstacles, etc.

[0118] The flange displacement amount estimation program for the rotary machine in the above embodiment can be understood, for example, as follows.

[0119] (10) A flange displacement estimation program for a rotary machine according to a tenth aspect is applied to the following rotary machine. This rotary machine includes a rotor 15 rotatable about an axis Ar extending horizontally, a casing 30 covering the outer periphery of the rotor 15, stationary components disposed within the casing 30 and attached to the casing 30, and a base 11 supporting the casing 30 from below. The casing 30 includes an upper half casing 30U on an upper side, a lower half casing 30L on a lower side, and a plurality of bolts 39 fastening the upper half casing 30U and the lower half casing 30L together. The upper half casing 30U has an upper flange 32U on which an upper flange surface 33U facing downward is formed. The lower half casing 30L has a lower flange 32L facing upward and having a lower flange surface 33L facing the upper flange surface 33U in the vertical direction Dz, and a first supported portion 35a and a second supported portion 35b connected to the lower flange 32L, supported from below by the frame 11, and spaced apart from each other in the axial direction Dy in which the axis Ar extends. The upper flange 32U and the lower flange 32L are formed with bolt holes 34 that penetrate in the vertical direction Dz and through which each of the plurality of bolts 39 can be inserted. The flange displacement estimation program for the rotating machine described above is After disassembling the rotary machine, in an open state in which the upper half casing 30U and the lower half casing 30L are not fastened by the plurality of bolts 39, an actual measurement coordinate receiving step S1 receives actual measurement three-dimensional coordinate data at a plurality of positions on the upper flange surface 33U and actual measurement three-dimensional coordinate data at a plurality of positions on the lower flange surface 33L; and a lower first position 72La whose horizontal position coincides with the first representative position 74a of the support portion 35a; a lower second position 72Lb whose horizontal position coincides with the second representative position 74b of the second supported portion 35b in a plane continuous with the lower flange surface 33L; and a lower target position 71L on the lower flange surface 33L at which it is desired to obtain the displacement amount in the up-down direction Dz when the upper half casing 30U and the lower half casing 30L change from the open state to a fastened state in which they are fastened by the plurality of bolts 39.and an effective coordinate grasping step S2 for grasping effective three-dimensional coordinate data at an upper first position 72Ua whose position in the horizontal direction coincides with the first representative position 74a of the first supported portion 35a in a plane continuous with the upper flange surface 33U, an upper second position 72Ub whose position in the horizontal direction coincides with the second representative position 74b of the second supported portion 35b in a plane continuous with the upper flange surface 33U, and an upper target position 71U whose position in the horizontal direction coincides with the lower target position 71L in the upper flange surface 33U; and a coordinate change step S3 of changing the valid three-dimensional coordinate data grasped in the valid coordinate grasping step S2 so that the valid three-dimensional coordinate data of the upper first position 72Ua matches the valid three-dimensional coordinate data of the lower second position 72Lb grasped in the valid coordinate grasping step S2 and the valid three-dimensional coordinate data of the upper second position 72Ub match; and a displacement amount calculation step S4 of calculating the displacement amounts in the vertical direction Dz of the upper target position 71U and the lower target position 71L when the released state changes to the fastened state based on the difference between the position in the vertical direction Dz indicated by the valid three-dimensional coordinate data of the upper target position 71U after the coordinate change step S3 and the position in the vertical direction Dz indicated by the valid three-dimensional coordinate data of the lower target position 71L after the coordinate change step S3.

[0120] In this embodiment, by having a computer execute this program, it is possible to reduce the calculation load when determining the amount of displacement, similarly to the first embodiment.

[0121] (11) In the eleventh aspect, the flange displacement estimation program for a rotating machine in the tenth aspect is such that, in the displacement calculation step S4, half of the difference is set as the displacement amount of the upper target position 71U and the displacement amount of the lower target position 71L.

[0122] The flange displacement amount estimation device for a rotary machine in the above embodiment can be understood, for example, as follows.

[0123] (12) A flange displacement estimation device for a rotary machine according to a twelfth aspect is applied to the following rotary machine. This rotary machine includes a rotor 15 rotatable about an axis Ar extending horizontally, a casing 30 covering the outer periphery of the rotor 15, stationary components disposed within and attached to the casing 30, and a base 11 supporting the casing 30 from below. The casing 30 includes an upper half casing 30U on an upper side, a lower half casing 30L on a lower side, and a plurality of bolts 39 fastening the upper half casing 30U and the lower half casing 30L together. The upper half casing 30U has an upper flange 32U on which an upper flange surface 33U facing downward is formed. The lower half casing 30L has a lower flange 32L facing upward and having a lower flange surface 33L facing the upper flange surface 33U in the vertical direction Dz, and a first supported portion 35a and a second supported portion 35b connected to the lower flange 32L, supported from below by the frame 11, and spaced apart from each other in the axial direction Dy in which the axis Ar extends. The upper flange 32U and the lower flange 32L are formed with bolt holes 34 that penetrate in the vertical direction Dz and through which each of the plurality of bolts 39 can be inserted. The flange displacement estimation device 50 for a rotating machine described above includes: a measured coordinate receiving unit (61) that receives measured three-dimensional coordinate data at a plurality of positions on the upper flange surface (33U) and measured three-dimensional coordinate data at a plurality of positions on the lower flange surface (33L) in an open state in which the upper half casing (30U) and the lower half casing (30L) are not fastened by the plurality of bolts (39) after the rotary machine has been disassembled; a lower first position 72La whose horizontal position coincides with the first representative position 74a of the second supported portion 35a; a lower second position 72Lb whose horizontal position coincides with the second representative position 74b of the second supported portion 35b in a plane continuous with the lower flange surface 33L; and a lower target position 71L on the lower flange surface 33L at which it is desired to obtain the displacement amount in the up-down direction Dz when the upper half casing 30U and the lower half casing 30L change from the open state to a fastened state in which they are fastened by the plurality of bolts 39.and an effective coordinate grasping unit 62 that grasps effective three-dimensional coordinate data at an upper first position 72Ua whose position in the horizontal direction coincides with the first representative position 74a of the first supported portion 35a in a plane continuous with the upper flange surface 33U, an upper second position 72Ub whose position in the horizontal direction coincides with the second representative position 74b of the second supported portion 35b in a plane continuous with the upper flange surface 33U, and an upper target position 71U whose position in the horizontal direction coincides with the lower target position 71L in the upper flange surface 33U; and an effective coordinate grasping unit 62 that grasps effective three-dimensional coordinate data at an upper first position 72Ua whose position in the horizontal direction coincides with the first representative position 74a of the first supported portion 35a in a plane continuous with the upper flange surface 33U, an upper second position 72Ub whose position in the horizontal direction coincides with the second representative position 74b of the second supported portion 35b in a plane continuous with the upper flange surface 33U, and an upper target position 71U whose position in the horizontal direction coincides with the lower target position 71L in the upper flange surface 33U. a coordinate change unit 63 that changes the effective three-dimensional coordinate data grasped by the effective coordinate grasping unit 62 so that the effective three-dimensional coordinate data matches the effective three-dimensional coordinate data of the upper first position 72Ua and so that the effective three-dimensional coordinate data of the lower second position 72Lb grasped by the effective coordinate grasping unit 62 matches the effective three-dimensional coordinate data of the upper second position 72Ub; and a displacement amount calculation unit 64 that calculates the amount of displacement in the up-down direction Dz of the upper target position 71U and the lower target position 71L when the released state changes to the fastened state, based on the difference between the position in the up-down direction Dz indicated by the effective three-dimensional coordinate data of the upper target position 71U after the coordinate change and the position in the up-down direction Dz indicated by the effective three-dimensional coordinate data of the lower target position 71L after the coordinate change.

[0124] In this embodiment, similarly to the first embodiment, the calculation load when determining the amount of displacement can be reduced.

[0125] (13) In a thirteenth aspect of the flange displacement estimation device for a rotating machine, in the flange displacement estimation device 50 for a rotating machine in the twelfth aspect, the displacement calculation unit 64 sets half of the difference as the displacement amount of the upper symmetric position 71U and the displacement amount of the lower symmetric position 71L.

[0126] According to one aspect of the present disclosure, when estimating the displacement amount of the flange surfaces of the upper half casing and the lower half casing, the calculation load can be reduced, thereby shortening the preparation period for estimating the flange surfaces and reducing the estimation cost.

[0127] 10: Steam turbine (rotating machine) 11: Frame 12a: First bearing device 12b: Second bearing device 13a: First shaft seal device (stationary part) 13b: Second shaft seal device (stationary part) 15: Rotor 16: Rotor shaft 17: Row of moving blades 20: Diaphragm (stationary part) 20L: Lower half diaphragm 20U: Upper half diaphragm 22: Stationary blade 23: Diaphragm inner ring 24: Diaphragm outer ring 25: Seal device 30: Casing 30L: Lower half casing 30U: Upper half casing 31L: Lower half casing body 31U: Upper half casing body 32L: Lower flange 32U: Upper flange 33L: Lower flange surface 33U: Upper flange surface 34: Bolt hole 35a: First supported part 35ap: Upper surface 35b: Second supported part 35bp: Upper surface 36: Stationary part storage section 39: Bolt 50: Flange displacement amount estimation device 51: Manual input device 52: Display device 53: Input / output interface 54: Device interface 55: Communication interface 56: Storage and playback device 57: Memory 58: Auxiliary storage device 58d: Reference three-dimensional shape data 58p: Flange displacement amount estimation program 60: CPU 61: Measured coordinate reception section 62: Effective coordinate grasping section 62a: Primary processing section 62b: Secondary processing section 63: Coordinate change section 64: Displacement amount calculation section 69: Three-dimensional shape measuring device 71: Reference position 71L: Lower target position 71U: Upper target position 72La: Lower first position 72Ua: Upper first position 72Lb: Lower second position 72Ub: Upper second position 73La: Lower edge first position 73Ua: Upper edge first position 73Lb: Lower edge second position 73Ub: Upper edge second position 74a: First representative position 74b: Second representative position 76: Virtual line 76L: Lower virtual line 76U: Upper virtual line 77La: Lower first virtual line 77Ua: Upper first virtual line 77Lb: Lower second virtual line 77Ub: Upper second virtual line 79: Reference measurement area 80: Flange surface indicated by reference three-dimensional shape data 81: Reference position indicated by reference three-dimensional shape data 82: Surface inclined with respect to the flange surface, indicated by the reference three-dimensional shape data 83: Three-dimensional block 85: Point 86, 86a, 86b: Polygon (polygonal plane) 87: Representative point Ar: Axis Dc: Circumferential direction Dr: Radial direction Dri: Radially inner Dro: Radially outer Dx: Lateral direction Dy: Axial direction Dz: Up-down direction Dw: Flange width direction

Claims

1. A method for estimating flange displacement of a rotary machine, comprising: a rotor rotatable about an axis extending horizontally; a casing covering the outer periphery of the rotor; a stationary part disposed within and attached to the casing; and a base supporting the casing from below, wherein the casing has an upper half-casing on an upper side, a lower half-casing on a lower side, and a plurality of bolts fastening the upper half-casing and the lower half-casing together, wherein the upper half-casing has an upper flange having an upper flange surface facing downward, and the lower half-casing has a lower flange having a lower flange surface facing upward and facing the upper flange surface in the vertical direction, and a first supported portion and a second supported portion connected to the lower flange and supported from below by the base, the first supported portion and the second supported portion being spaced apart from each other in the axial direction along which the axis extends, wherein the upper flange and the lower flange have bolt holes formed therethrough in the vertical direction, through which each of the plurality of bolts can be inserted, a measured coordinate receiving step of receiving measured three-dimensional coordinate data at a plurality of positions on the upper flange surface and measured three-dimensional coordinate data at a plurality of positions on the lower flange surface in an open state in which the upper half casing and the lower half casing are not fastened by the plurality of bolts after disassembling the rotary machine;an effective coordinate grasping process using the measured three-dimensional coordinate data at a plurality of positions on the lower flange surface to grasp effective three-dimensional coordinate data at: a lower first position whose position in the horizontal direction coincides with a first representative position of a first supported portion in a plane continuous with the lower flange surface; a lower second position whose position in the horizontal direction coincides with a second representative position of the second supported portion in a plane continuous with the lower flange surface; and a lower target position on the lower flange surface from which it is desired to obtain the amount of vertical displacement when the upper half casing and the lower half casing change from the open state to a fastened state in which they are fastened by the plurality of bolts; and a coordinate changing step of changing the effective three-dimensional coordinate data grasped in the effective coordinate grasping step so that the effective three-dimensional coordinate data of the lower first position grasped in the effective coordinate grasping step matches the effective three-dimensional coordinate data of the upper first position and so that the effective three-dimensional coordinate data of the lower second position grasped in the effective coordinate grasping step matches the effective three-dimensional coordinate data of the upper second position; and a displacement amount calculation step of calculating the amount of vertical displacement of the upper target position and the lower target position when the state changes from the released state to the fastened state, based on the difference between the vertical position indicated by the effective three-dimensional coordinate data of the upper target position after the coordinate changing step and the vertical position indicated by the effective three-dimensional coordinate data of the lower target position after the coordinate changing step.

2. A method for estimating flange displacement of a rotating machine according to claim 1, wherein in the displacement calculation step, half of the difference is set as the displacement amount at the upper symmetric position and the displacement amount at the lower symmetric position.

3. A method for estimating flange displacement of a rotating machine as described in claim 1, wherein the lower symmetric position is a position where the stationary part is arranged in the axial direction and is also the position of the inner edge of the lower flange surface.

4. A method for estimating flange displacement of a rotating machine according to any one of claims 1 to 3, wherein the measured coordinate receiving step receives measured three-dimensional coordinate data of the lower first position and the lower second position, and the effective coordinate grasping step grasps the measured three-dimensional coordinate data of the lower first position and the lower second position acquired in the measured coordinate receiving step as effective three-dimensional coordinate data of the lower first position and the lower second position.

5. A method for estimating flange displacement of a rotating machine according to any one of claims 1 to 3, wherein the measured coordinate receiving step receives measured three-dimensional coordinate data at a plurality of positions on the upper surface of the first supported part and measured three-dimensional coordinate data at a plurality of positions on the upper surface of the second supported part, and the effective coordinate grasping step determines effective three-dimensional coordinate data for the lower first position from the measured three-dimensional coordinate data at a plurality of positions on the upper surface of the first supported part acquired in the measured coordinate receiving step, and determines effective three-dimensional coordinate data for the lower second position from the measured three-dimensional coordinate data at a plurality of positions on the upper surface of the second supported part acquired in the measured coordinate receiving step.

6. A method for estimating flange displacement of a rotating machine according to any one of claims 1 to 3, wherein the measured coordinate receiving step receives measured three-dimensional coordinate data of the lower target position and the upper target position, and the effective coordinate grasping step grasps the measured three-dimensional coordinate data of the lower target position as effective three-dimensional coordinate data of the lower target position, and grasps the measured three-dimensional coordinate data of the upper target position acquired in the measured coordinate receiving step as effective three-dimensional coordinate data of the upper target position.

7. A method for estimating flange displacement of a rotating machine according to any one of claims 1 to 3, wherein the measured coordinate receiving step receives measured three-dimensional coordinate data at a plurality of positions on a lower virtual line that passes through the lower target position and extends in the flange width direction, and receives measured three-dimensional coordinate data at a plurality of positions on an upper virtual line that passes through the upper target position and extends in the flange width direction; and the effective coordinate grasping step determines effective three-dimensional coordinate data for the lower target position from the measured three-dimensional coordinate data at the plurality of positions on the lower virtual line, and determines effective three-dimensional coordinate data for the upper target position from the measured three-dimensional coordinate data at the plurality of positions on the upper virtual line.

8. A method for estimating flange displacement of a rotating machine according to any one of claims 1 to 3, wherein the measured coordinate receiving step receives measured three-dimensional coordinate data at a plurality of positions in a lower measurement area on the lower flange surface that includes the lower target position, and receives measured three-dimensional coordinate data at a plurality of positions in an upper measurement area on the upper flange surface that includes the upper target position; and the effective coordinate grasping step uses the measured three-dimensional coordinate data at the plurality of positions in the lower measurement area received in the measured coordinate receiving step to determine effective three-dimensional coordinate data for the lower target position, and uses the measured three-dimensional coordinate data at the plurality of positions in the upper measurement area received in the measured coordinate receiving step to determine effective three-dimensional coordinate data for the upper target position.

9. A method for estimating flange displacement of a rotating machine according to any one of claims 1 to 3, wherein the measured coordinate receiving step receives measured three-dimensional coordinate data at a plurality of positions across the entire lower flange surface, and receives measured three-dimensional coordinate data at a plurality of positions across the entire upper flange surface; and the effective coordinate grasping step uses the measured three-dimensional coordinate data at a plurality of positions across the entire lower flange surface received in the measured coordinate receiving step to determine shape data of the lower flange surface indicating the three-dimensional shape of the entire lower flange surface, and uses the measured three-dimensional coordinate data at a plurality of positions across the entire upper flange surface received in the measured coordinate receiving step to determine shape data of the upper flange surface indicating the three-dimensional shape of the entire upper flange surface; and uses the shape data of the lower flange surface to determine effective three-dimensional coordinate data of the lower target position, and uses the shape data of the upper flange surface to determine effective three-dimensional coordinate data of the upper target position.

10. A flange displacement estimation program for a rotary machine, comprising: a rotor rotatable about an axis extending in the horizontal direction; a casing covering the outer periphery of the rotor; a stationary part disposed within the casing and attached to the casing; and a base supporting the casing from below, wherein the casing has an upper half-casing on an upper side, a lower half-casing on a lower side, and a plurality of bolts fastening the upper half-casing and the lower half-casing together, wherein the upper half-casing has an upper flange having an upper flange surface facing downward, and the lower half-casing has a lower flange having a lower flange surface facing upward and facing the upper flange surface in the vertical direction, and a first supported portion and a second supported portion connected to the lower flange and supported from below by the base and spaced apart from each other in the axial direction along which the axis extends, wherein the upper flange and the lower flange have bolt holes formed therein that penetrate in the vertical direction and allow each of the plurality of bolts to be inserted therethrough, a measured coordinate receiving step of receiving measured three-dimensional coordinate data at a plurality of positions on the upper flange surface and measured three-dimensional coordinate data at a plurality of positions on the lower flange surface in an open state in which the upper half casing and the lower half casing are not fastened by the plurality of bolts after disassembling the rotary machine;an effective coordinate grasping process using the measured three-dimensional coordinate data at a plurality of positions on the lower flange surface to grasp effective three-dimensional coordinate data at: a lower first position whose position in the horizontal direction coincides with a first representative position of a first supported portion in a plane continuous with the lower flange surface; a lower second position whose position in the horizontal direction coincides with a second representative position of the second supported portion in a plane continuous with the lower flange surface; and a lower target position on the lower flange surface from which it is desired to obtain the amount of vertical displacement when the upper half casing and the lower half casing change from the open state to a fastened state in which they are fastened by the plurality of bolts; and a coordinate changing step of changing the effective three-dimensional coordinate data grasped in the effective coordinate grasping step so that the effective three-dimensional coordinate data of the lower first position grasped in the effective coordinate grasping step matches the effective three-dimensional coordinate data of the upper first position and so that the effective three-dimensional coordinate data of the lower second position grasped in the effective coordinate grasping step matches the effective three-dimensional coordinate data of the upper second position; and a displacement amount calculation step of calculating the amount of vertical displacement of the upper target position and the lower target position when the released state changes to the fastened state, based on the difference between the vertical position indicated by the effective three-dimensional coordinate data of the upper target position after the coordinate changing step and the vertical position indicated by the effective three-dimensional coordinate data of the lower target position after the coordinate changing step.

11. A flange displacement estimation program for a rotating machine according to claim 10, wherein in the displacement calculation step, half of the difference is set as the displacement amount at the upper symmetric position and the displacement amount at the lower symmetric position.

12. A flange displacement estimation device for a rotating machine, comprising: a rotor rotatable about an axis extending in the horizontal direction; a casing covering the outer periphery of the rotor; stationary parts arranged inside and attached to the casing; and a base supporting the casing from below, wherein the casing has an upper half-casing on an upper side, a lower half-casing on a lower side, and a plurality of bolts fastening the upper half-casing and the lower half-casing together, wherein the upper half-casing has an upper flange having an upper flange surface facing downward, and the lower half-casing has a lower flange having a lower flange surface facing upward and facing the upper flange surface in the vertical direction, and a first supported portion and a second supported portion connected to the lower flange and supported from below by the base and spaced apart from each other in the axial direction along which the axis extends, wherein bolt holes are formed in the upper flange and the lower flange that pass through in the vertical direction and through which each of the plurality of bolts can be inserted, a measured coordinate receiving unit that receives measured three-dimensional coordinate data at a plurality of positions on the upper flange surface and measured three-dimensional coordinate data at a plurality of positions on the lower flange surface in an open state in which the upper half casing and the lower half casing are not fastened by the plurality of bolts after the rotary machine is disassembled;an effective coordinate grasping unit that grasps effective three-dimensional coordinate data at a lower first position, which horizontally coincides with a first representative position of a first supported portion in a plane continuous with the lower flange surface, a lower second position, which horizontally coincides with a second representative position of the second supported portion in a plane continuous with the lower flange surface, and a lower target position, which is intended to obtain the amount of vertical displacement when the upper half casing and the lower half casing change from the open state to a fastened state in which they are fastened by the plurality of bolts, using the measured three-dimensional coordinate data at a plurality of positions on the upper flange surface; and an effective three-dimensional coordinate grasping unit that grasps effective three-dimensional coordinate data at an upper first position, which horizontally coincides with the first representative position of the first supported portion in a plane continuous with the upper flange surface, an upper second position, which horizontally coincides with the second representative position of the second supported portion in a plane continuous with the upper flange surface, and an upper target position, which horizontally coincides with the lower target position in the upper flange surface, using the measured three-dimensional coordinate data at a a coordinate change unit that changes the effective three-dimensional coordinate data grasped by the effective coordinate grasp unit so that effective three-dimensional coordinate data of the lower first position grasped by the effective coordinate grasp unit matches effective three-dimensional coordinate data of the upper first position and so that effective three-dimensional coordinate data of the lower second position grasped by the effective coordinate grasp unit matches effective three-dimensional coordinate data of the upper second position; and a displacement amount calculation unit that calculates the amount of vertical displacement of the upper target position and the lower target position when the state changes from the released state to the fastened state, based on the difference between the vertical position indicated by the effective three-dimensional coordinate data of the upper target position after the coordinate change and the vertical position indicated by the effective three-dimensional coordinate data of the lower target position after the coordinate change.

13. A flange displacement estimation device for a rotating machine according to claim 12, wherein the displacement calculation unit sets half of the difference as the displacement amount at the upper symmetric position and the displacement amount at the lower symmetric position.

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