Non-rigid construction method and device for full characteristic curve of pumped storage unit

Abstract

The invention relates to the technical field of water conservancy and hydropower, and discloses a non-rigid construction method and device for a full characteristic curve of a pumped storage unit. Multiple characteristic intersecting lines are selected as non-rigid construction control points; the change of the characteristics can be reflected by operating a non-rigid structure control point, and the capturing capability of the actual operation characteristics of the unit is improved. Furthermore, the thin-plate spline interpolation method can accurately construct a target deformation function according to the change of the point set, so that the change rule of the unit characteristics can be described more accurately. And finally, constructing a full characteristic curve of the pumped storage unit according to the target deformation function by taking a preset penalty function as a constraint, so that unreasonable deformation of the curve can be avoided, the constructed curve can accurately reflect operation characteristics of the unit under different working conditions, and a reliable basis is provided for safe and stable operation of a power station.

Description

Technical Field

[0001] The present invention relates to the technical field of water conservancy and hydropower, and in particular to a non-rigid construction method and device for a full characteristic curve of a pumped storage unit. Background Art

[0002] As the world's largest single energy storage method, pumped hydroelectric storage technology dominates the power storage service sector, currently accounting for approximately 95% of the world's total power storage capacity. Pumped hydroelectric power plants have long proven their reliability and safety through stable and safe operation. However, the hydro-mechanical characteristics of pumped hydroelectric power plants are subject to significant uncertainty.

[0003] On the one hand, due to the limitations of construction technology and processing accuracy, there are inevitable deviations between the hydraulic and mechanical parameters of the actual operation of the power station and the design values; on the other hand, as the operating years increase, the pumped storage unit will be affected by factors such as aging, vibration, emergencies, failures and maintenance, and its hydraulic and mechanical characteristics (usually represented by the initial full characteristic curve of the pumped storage unit) will gradually change accordingly.

[0004] To ensure the continued safe and stable operation of pumped-storage power stations, it is crucial to closely monitor the current hydraulic-mechanical characteristics of pumped-storage units. Therefore, conducting in-depth research on the non-rigid construction method of the initial full characteristic curve of pumped-storage units is of great practical significance. Summary of the Invention

[0005] In view of this, the present invention provides a non-rigid construction method and device for the full characteristic curve of a pumped storage unit to solve the problem of uncertainty in the hydraulic-mechanical characteristics of a pumped storage power station in the prior art.

[0006] In a first aspect, the present invention provides a non-rigid construction method for a full characteristic curve of a pumped storage unit, the method comprising:

[0007] An initial full characteristic curve of the pumped-storage unit is obtained; a plurality of characteristic intersection lines are selected from the initial full characteristic curve and the plurality of characteristic intersection lines are determined as a plurality of non-rigid structural control points; an initial characteristic intersection point set and a target characteristic intersection point set of the plurality of non-rigid structural control points are obtained; a target deformation function is constructed based on the initial characteristic intersection point set and the target characteristic intersection point set after processing using a thin plate spline interpolation method; a target full characteristic curve of the pumped-storage unit is constructed according to the target deformation function based on a preset penalty function, and the target full characteristic curve is used to describe the operating characteristics of the pumped-storage unit under different working conditions.

[0008] The non-rigid construction method of the full characteristic curve of the pumped-storage unit provided by the present invention can understand the operating characteristic information of the pumped-storage unit under the design working conditions by obtaining the initial full characteristic curve of the pumped-storage unit. Furthermore, the characteristic intersection line can cover the key characteristics of the pumped-storage unit under different working conditions. Therefore, by selecting multiple characteristic intersection lines as non-rigid construction control points, when the unit ages due to the increase in operating years, the characteristic changes can be reflected by operating the non-rigid construction control points, thereby improving the ability to capture the actual operating characteristics of the unit. Furthermore, based on the initial characteristic intersection point set and the target characteristic intersection point set, the thin plate spline interpolation method can accurately construct the target deformation function according to the changes in the point set, thereby more accurately describing the changing laws of the unit characteristics and better adapting to the deformation requirements of the full characteristic curve caused by various factors. Finally, with the preset penalty function as a constraint, the full characteristic curve of the pumped storage unit is constructed according to the target deformation function. This can avoid unreasonable deformation of the curve and enable the constructed curve to accurately reflect the operating characteristics of the unit under different working conditions, providing a reliable basis for the safe and stable operation of the power station.

[0009] In an optional embodiment, obtaining an initial feature intersection point set and a target feature intersection point set of a plurality of non-rigid construction control points includes:

[0010] An initial feature intersection point set is generated based on multiple non-rigid structural control points; the displacement of each non-rigid structural control point is obtained and a feature intersection displacement set is generated; based on the feature intersection displacement set and the initial feature intersection point set, a target feature intersection point set is obtained through processing with a preset interpolation function.

[0011] The non-rigid construction method for the full characteristic curve of a pumped-storage unit, provided by this invention, converts control points into a specific set of points, providing clear data objects for subsequent processing. Furthermore, obtaining displacement information of the control points can reflect changes in the unit's characteristics. Finally, by using a preset interpolation function and combining the changes in the control points, the positions of the deformed points can be accurately calculated, providing data support for the subsequent construction of the target deformation function.

[0012] In an optional embodiment, based on the initial feature intersection point set and the target feature intersection point set, a target deformation function is constructed by processing using a thin plate spline interpolation method, including:

[0013] Based on the target feature intersection point set, multiple thin plate spline values are obtained through thin plate spline function calculation; based on the target feature intersection point set, the target matrix is determined; based on the multiple thin plate spline values and the target matrix, multiple thin plate spline interpolation coefficient values and multiple linear term coefficient values are calculated; based on the initial feature intersection point set, the target feature intersection point set, the multiple thin plate spline interpolation coefficient values and the multiple linear term coefficient values, the target deformation function is constructed.

[0014] The non-rigid construction method for the full characteristic curve of a pumped-storage unit provided by the present invention calculates thin plate spline values using a thin plate spline function, which can reflect the characteristics of each point in a target point set. Furthermore, by integrating information from the target point set to determine a target matrix, the relationship between points can be accurately reflected, helping to improve the accuracy of subsequent calculations. Furthermore, by calculating coefficient values using thin plate spline values and the target matrix, the specific form of the target deformation function can be determined. This allows the constructed target deformation function to accurately deform the full characteristic curve based on changes in the unit's characteristics, providing support for constructing the target full characteristic curve.

[0015] In an optional embodiment, determining a target matrix according to a target feature intersection point set includes:

[0016] According to the target feature intersection point set, a thin plate spline basis function matrix and a coordinate matrix are constructed; according to the thin plate spline basis function matrix and the coordinate matrix, a target matrix is determined.

[0017] The non-rigid construction method for the full characteristic curve of a pumped-storage unit, provided by this invention, constructs a thin-plate spline basis function matrix and a coordinate matrix, capable of reflecting information about a target point set from different perspectives. Furthermore, by combining the basis function matrix and the coordinate matrix to generate a target matrix, this matrix integrates the relationships between points and their coordinate information. This allows the target moments to be accurately used in the subsequent calculation of thin-plate spline interpolation coefficients and linear term coefficients, thereby ensuring the accuracy and reliability of the target deformation function.

[0018] In an optional embodiment, calculating a plurality of thin plate spline interpolation coefficient values and a plurality of linear term coefficient values according to a plurality of thin plate spline values and a target matrix includes:

[0019] A first row vector is constructed according to a plurality of thin plate spline values; a second row vector is determined according to the first row vector; and a plurality of thin plate spline interpolation coefficient values and a plurality of linear term coefficient values are calculated according to a target matrix and the second row vector.

[0020] The non-rigid construction method for the full characteristic curve of a pumped-storage unit provided by this invention provides a suitable vector form for operations with a target matrix by constructing first and second row vectors. Furthermore, through operations on the target matrix and the second row vector, the thin-plate spline interpolation coefficients and linear term coefficients can be accurately calculated. This enables the subsequently constructed target deformation function to more accurately fit changes in the unit's characteristics, thereby improving the accuracy of the constructed target full characteristic curve.

[0021] In an optional embodiment, the method further includes: obtaining a thin plate spline deformation condition; and determining a preset penalty function according to the thin plate spline deformation condition.

[0022] The non-rigid construction method for the full characteristic curve of a pumped-storage unit provided by the present invention can clarify the constraint requirements for the thin-plate spline deformation by obtaining the thin-plate spline deformation conditions. Furthermore, a preset penalty function determined based on the thin-plate spline deformation conditions can constrain the target deformation function during the construction of the target full characteristic curve, thereby ensuring that the generated curve conforms to physical laws.

[0023] In an optional embodiment, the multiple characteristic intersection lines include: the minimum speed line in the water pump area, the zero flow intersection line in the water pump area, the zero speed intersection line at the junction of the water pump and the turbine, the maximum efficiency line in the turbine area, the zero torque intersection line in the turbine area, the zero flow intersection line in the turbine area, the maximum speed line in the turbine area and the zero opening line.

[0024] The non-rigid construction method of the full characteristic curve of the pumped storage unit provided by the present invention, by clarifying the specific content of multiple characteristic intersection lines, enables more targeted analysis and adjustment of the key characteristics of the unit in actual operation, improves the construction method's ability to capture and reflect the actual operating characteristics of the unit, and helps to more accurately construct the target full characteristic curve to meet the needs of power station operation management.

[0025] In a second aspect, the present invention provides a non-rigid structure device for a full characteristic curve of a pumped storage unit, the device comprising:

[0026] The first acquisition module is used to obtain the initial full characteristic curve of the pumped-storage unit; the selection module is used to select multiple characteristic intersection lines in the initial full characteristic curve and determine the multiple characteristic intersection lines as multiple non-rigid structural control points; the second acquisition module is used to obtain the initial characteristic intersection point set and the target characteristic intersection point set of the multiple non-rigid structural control points; the first construction module is used to construct a target deformation function based on the initial characteristic intersection point set and the target characteristic intersection point set through thin plate spline interpolation method; the second construction module is used to construct the target full characteristic curve of the pumped-storage unit according to the target deformation function based on a preset penalty function, and the target full characteristic curve is used to describe the operating characteristics of the pumped-storage unit under different working conditions.

[0027] In a third aspect, the present invention provides a computer-readable storage medium having computer instructions stored thereon, the computer instructions being used to enable a computer to execute the non-rigid construction method of the full characteristic curve of a pumped-storage unit according to the first aspect or any corresponding embodiment thereof.

[0028] In a fourth aspect, the present invention provides a computer program product comprising computer instructions for causing a computer to execute the non-rigid construction method of the full characteristic curve of a pumped-storage unit according to the first aspect or any corresponding embodiment thereof. BRIEF DESCRIPTION OF THE DRAWINGS

[0029] In order to more clearly illustrate the specific embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the specific embodiments or the description of the prior art. Obviously, the drawings described below are some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.

[0030] Figure 1 is a flow chart of a non-rigid construction method of a full characteristic curve of a pumped storage unit according to an embodiment of the present invention;

[0031] Figure 2 is a flow chart of another non-rigid construction method of a full characteristic curve of a pumped storage unit according to an embodiment of the present invention;

[0032] Figure 3 is a flow chart of a non-rigid construction method of a full characteristic curve of another pumped storage unit according to an embodiment of the present invention;

[0033] Figure 4A is a schematic diagram of an original full characteristic curve of a pumped storage unit according to an embodiment of the present invention;

[0034] Figure 4B is another schematic diagram of an original full characteristic curve of a pumped storage unit according to an embodiment of the present invention;

[0035] Figure 5A 2 is a schematic diagram of an original flow characteristic curve of a characteristic intersection line in displacement condition 1 according to an embodiment of the present invention;

[0036] Figure 5B is a schematic diagram of a flow characteristic curve after deformation of a characteristic intersection line in displacement condition 1 according to an embodiment of the present invention;

[0037] Figure 5C 2 is a schematic diagram of an original torque characteristic curve of a characteristic intersection line in displacement condition 1 according to an embodiment of the present invention;

[0038] Figure 5D is a schematic diagram of a torque characteristic curve of a characteristic intersection line after deformation in displacement condition 1 according to an embodiment of the present invention;

[0039] Figure 6A is a schematic diagram of an original flow characteristic curve of a characteristic intersection line in displacement condition 2 according to an embodiment of the present invention;

[0040] Figure 6B is a schematic diagram of a flow characteristic curve after deformation of a characteristic intersection line in displacement condition 2 according to an embodiment of the present invention;

[0041] Figure 6C is a schematic diagram of an original torque characteristic curve of a characteristic intersection line in displacement condition 2 according to an embodiment of the present invention;

[0042] Figure 6D is a schematic diagram of a torque characteristic curve of a characteristic intersection line after deformation in displacement condition 2 according to an embodiment of the present invention;

[0043] Figure 7A is a schematic diagram of an original flow characteristic curve of a characteristic intersection line in displacement condition 3 according to an embodiment of the present invention;

[0044] Figure 7B is a schematic diagram of a flow characteristic curve after deformation of a characteristic intersection line in displacement condition 3 according to an embodiment of the present invention;

[0045] Figure 7C is a schematic diagram of an original torque characteristic curve of a characteristic intersection line in displacement condition 3 according to an embodiment of the present invention;

[0046] Figure 7D is a schematic diagram of a torque characteristic curve of a characteristic intersection line after deformation in displacement condition 3 according to an embodiment of the present invention;

[0047] Figure 8 is a structural block diagram of a non-rigid construction device for a full characteristic curve of a pumped storage unit according to an embodiment of the present invention;

[0048] Figure 9 Schematic diagram of the hardware structure of a computer device according to an embodiment of the present invention. DETAILED DESCRIPTION

[0049] To make the purpose, technical solutions, and advantages of the embodiments of the present invention more clear, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without making creative efforts shall fall within the scope of protection of the present invention.

[0050] An embodiment of the present invention provides a non-rigid construction method for the full characteristic curve of a pumped storage unit. By selecting multiple characteristic intersection lines as non-rigid construction control points and combining the thin plate spline interpolation method to construct a target deformation function, the constructed curve can accurately reflect the operating characteristics of the unit under different working conditions.

[0051] According to an embodiment of the present invention, an embodiment of a non-rigid construction method of a full characteristic curve of a pumped storage unit is provided. It should be noted that the steps shown in the flowchart of the accompanying drawings can be executed in a computer system such as a set of computer executable instructions, and although a logical order is shown in the flowchart, in some cases, the steps shown or described can be executed in an order different from that shown here.

[0052] In this embodiment, a non-rigid construction method of the full characteristic curve of a pumped storage unit is provided, which can be used for electronic devices such as computers, mobile phones, tablet computers, etc. Figure 1 Flowchart of the non-rigid construction method of the full characteristic curve of the pumped storage unit according to an embodiment of the present invention. Figure 1 As shown, the process includes the following steps:

[0053] Step S101: obtaining an initial full characteristic curve of the pumped storage unit.

[0054] Among them, the pumped storage unit refers to a special device used to regulate electric energy in the power system. It has the functions of both a water pump and a turbine, and is mainly composed of a water pump turbine, a generator motor, a speed regulator, a ball valve and other parts.

[0055] The initial full characteristic curve is a curve used to describe the initial operating characteristics of a pumped storage unit under different operating conditions. It comprehensively reflects the relationship between the hydraulic, mechanical and other characteristic parameters of the unit under various operating conditions, such as turbine operating conditions and pump operating conditions.

[0056] Specifically, in this embodiment, the initial full characteristic curve is used to reflect the flow, torque, and speed characteristics of the pumped storage unit under all operating conditions, which is represented by unit parameters, as shown in the following relationship (1):

[0057]

[0058] Where: Q 11 Indicates the unit flow of the turbine; M 11 represents the unit torque of the turbine; y t Indicates the guide vane opening; n 11 Indicates unit speed; f Q represents the nonlinear function of unit flow; f M A nonlinear function representing the unit moment.

[0059] Step S102 : selecting a plurality of characteristic intersection lines from the initial full characteristic curve and determining the plurality of characteristic intersection lines as a plurality of non-rigid construction control points.

[0060] Among them, multiple feature intersection lines may include:

[0061] (1) The minimum speed line of the water pump area: the line connecting the lowest unit speed operating point on each opening line;

[0062] (2) Zero flow intersection line of the water pump area: the line connecting the zero flow operating point on each opening line water pump area;

[0063] (3) Zero speed intersection line between the pump and turbine: the line connecting the zero speed operating points on each opening line;

[0064] (4) Turbine area maximum efficiency line: the line connecting the highest efficiency operating point on each opening line turbine area;

[0065] (5) Zero moment intersection line of turbine area: the line connecting the zero moment working point on each opening line of turbine area;

[0066] (6) Zero flow intersection line in the turbine area: the line connecting the zero flow operating points in the turbine area of each opening line;

[0067] (7) Maximum speed line in the turbine area: the line connecting the highest unit speed operating point on each opening line;

[0068] (8) Zero opening line.

[0069] Specifically, characteristic intersection lines capture the key operating states and boundary conditions of a pumped-storage unit under different operating conditions. For example, the minimum speed line in the pump region reflects the pump's extreme low-speed operation, helping to analyze the unit's stability and performance under these conditions. The maximum efficiency line in the turbine region defines the operating range within which the turbine operates efficiently, which is crucial for optimizing the unit's power generation efficiency. By selecting these multiple characteristic intersection lines, we can comprehensively capture the unit's key characteristics under different operating conditions.

[0070] Furthermore, since pumped-storage units are subject to changes in their full characteristic curves during actual operation due to factors such as construction errors, equipment aging, and changes in the operating environment, the curves themselves may change. Therefore, the selected characteristic intersections are used as non-rigid construction control points. This allows for the subsequent non-rigid construction of the full characteristic curves. By performing operations such as displacement, scaling, and rotation on these non-rigid construction control points, the curve's shape and position can be flexibly adjusted to better reflect the changes in the unit's characteristics during actual operation.

[0071] Step S103: obtaining an initial feature intersection point set and a target feature intersection point set of a plurality of non-rigid construction control points.

[0072] Specifically, the initial feature intersection point set It represents the set of operating points on the initial full characteristic curve of the pumped storage unit, which is composed of multiple selected characteristic intersection lines (such as the minimum speed connection line of the water pump area, the zero flow intersection line of the water pump area, etc.).

[0073] Target feature intersection point set {T i}={n′ 11i ,Q′ 11i M′ 11i} represents a new point set obtained by performing corresponding displacement, scaling or rotation operations on the points in the initial feature intersection point set after considering various factors that may occur in the actual operation of the unit (such as construction and processing errors, equipment aging, changes in operating conditions, etc.).

[0074] Step S104 : constructing a target deformation function based on the initial feature intersection point set and the target feature intersection point set by using a thin plate spline interpolation method.

[0075] Among them, the thin plate spline interpolation method represents a mathematical method for interpolating two-dimensional spatial data based on the principle of minimizing the bending energy of a thin plate.

[0076] Specifically, based on the initial characteristic intersection point set and the target characteristic intersection point set, the thin plate spline interpolation method can accurately construct the target deformation function according to the changes in the point set, thereby more accurately describing the changing law of the unit characteristics and better adapting to the deformation requirements of the full characteristic curve caused by various factors.

[0077] Step S105 : constructing a target full characteristic curve of the pumped storage unit based on a preset penalty function and a target deformation function.

[0078] The preset penalty function represents a function used to process constraints or optimization objectives, which guides the optimization process towards satisfying the conditions or achieving the objectives by imposing penalties on violations of constraints or failure to meet specific objectives.

[0079] Specifically, using a preset penalty function as a constraint and utilizing the target deformation function to construct the target full characteristic curve of the pumped storage unit can avoid unreasonable deformation of the curve, so that the constructed curve can accurately reflect the operating characteristics of the unit under different working conditions, providing a reliable basis for the safe and stable operation of the power station.

[0080] In an optional embodiment, the parameter range involved in the full characteristic curve of the pumped storage unit is first determined, such as the unit speed n 11 , unit flow Q 11 , unit moment M 11Furthermore, according to the actual operation situation and research requirements, these parameters are divided into a series of discrete points to form a parameter grid.

[0081] Second, for each point (n 11 ,Q 11 ,M 11 ), substitute it into the target deformation function and obtain the function value after deformation. At the same time, calculate the preset penalty function value corresponding to the point. The preset penalty function value reflects whether the deformation of the point meets the constraint conditions. If not, the preset penalty function value will be larger.

[0082] Then, the result of the target deformation function is adjusted according to the calculated preset penalty function value. If the preset penalty function value exceeds a certain threshold, it means that the deformation of the point may be unreasonable and the target deformation function needs to be corrected.

[0083] Finally, through multiple iterations, the calculation is stopped until the preset penalty function value meets the requirements, and the adjusted function values for all points in the parameter grid are obtained. By connecting these points, the target full characteristic curve of the pumped storage unit can be formed.

[0084] Furthermore, the generated target full characteristic curve can be compared with the actual operating data to check whether the curve accurately reflects the operating characteristics of the unit.

[0085] The non-rigid construction method for the full characteristic curve of a pumped-storage unit provided in this embodiment can understand the operating characteristic information of the pumped-storage unit under the design operating conditions by obtaining the initial full characteristic curve of the pumped-storage unit. Furthermore, the characteristic intersection line can cover the key characteristics of the pumped-storage unit under different operating conditions. Therefore, by selecting multiple characteristic intersection lines as non-rigid construction control points, when the unit ages due to the increase in operating years, the characteristic changes can be reflected by operating the non-rigid construction control points, thereby improving the ability to capture the actual operating characteristics of the unit. Furthermore, based on the initial characteristic intersection point set and the target characteristic intersection point set, the thin plate spline interpolation method can accurately construct the target deformation function according to the changes in the point set, thereby more accurately describing the changing laws of the unit characteristics and better adapting to the deformation requirements of the full characteristic curve caused by various factors. Finally, with the preset penalty function as a constraint, the full characteristic curve of the pumped storage unit is constructed according to the target deformation function. This can avoid unreasonable deformation of the curve and enable the constructed curve to accurately reflect the operating characteristics of the unit under different working conditions, providing a reliable basis for the safe and stable operation of the power station.

[0086] In this embodiment, a non-rigid construction method of the full characteristic curve of a pumped storage unit is provided, which can be used for electronic devices such as computers, mobile phones, tablet computers, etc. Figure 2 Flowchart of the non-rigid construction method of the full characteristic curve of the pumped storage unit according to an embodiment of the present invention. Figure 2 As shown, the process includes the following steps:

[0087] Step S201: Obtain the initial full characteristic curve of the pumped storage unit. Figure 1 Step S101 of the illustrated embodiment will not be described in detail here.

[0088] Step S202: Select multiple characteristic intersection lines from the initial full characteristic curve and determine the multiple characteristic intersection lines as multiple non-rigid construction control points. Figure 1 Step S102 of the illustrated embodiment will not be described in detail here.

[0089] Step S203: obtaining an initial feature intersection point set and a target feature intersection point set of a plurality of non-rigid construction control points.

[0090] Specifically, the above step S203 includes:

[0091] Step S2031: generating an initial feature intersection point set based on a plurality of non-rigid construction control points.

[0092] Specifically, according to the description of step S103 , the operating points on each characteristic intersection line are integrated to form a corresponding initial characteristic intersection line point set.

[0093] Step S2032: Obtain the displacement of each non-rigid construction control point and generate a characteristic intersection line displacement set.

[0094] Specifically, the various factors that may affect the actual operation of pumped-storage units are considered, such as parameter deviations caused by limitations in construction technology and machining precision, equipment aging due to years of operation, vibration, emergencies, failures, and maintenance. By monitoring and analyzing the unit's operating data, combined with information such as equipment maintenance records, the potential displacement of each non-rigid structural control point (characteristic intersection line) can be assessed.

[0095] Furthermore, for each non-rigid structural control point, the type of its displacement is determined, which may include translation, scaling, rotation, etc., and then the corresponding displacement parameters are accurately calculated.

[0096] For example, for a certain characteristic intersection line, a translation may occur in the direction of the unit speed, and the translation distance is determined; or a rotation may occur on the plane formed by the unit flow and unit torque, and the rotation angle is determined, etc.

[0097] Finally, the displacement information of each non-rigid structural control point is integrated to form the corresponding characteristic intersection displacement set {L i}.

[0098] Step S2033: Based on the feature intersection displacement set and the initial feature intersection point set, a target feature intersection point set is obtained by processing with a preset interpolation function.

[0099] The preset interpolation function is shown in the following equation (2):

[0100] f(S i )=T i ,i=1,2,…,n (2)

[0101] Where: i represents the i-th point on the feature intersection line.

[0102] Specifically, each point S i The original coordinate information and corresponding displacement information L i Substitute into the preset interpolation function shown in the above relationship (2), and perform calculation according to the calculation rules of the preset interpolation function.

[0103] Furthermore, the preset interpolation function adjusts the coordinates of the initial point according to the displacement information and calculates new coordinate values.

[0104] Furthermore, the coordinate information of all new points calculated are integrated to form the corresponding target feature intersection point set {T i}={n′ 11i ,Q′ 11i M′ 11i}.

[0105] Step S204: Based on the initial feature intersection point set and the target feature intersection point set, a target deformation function is constructed by thin plate spline interpolation method. Figure 1 Step S104 of the illustrated embodiment will not be described in detail here.

[0106] Step S205: Based on the preset penalty function, the target full characteristic curve of the pumped storage unit is constructed according to the target deformation function. Figure 1 Step S105 of the illustrated embodiment will not be described in detail here.

[0107] The non-rigid construction method for the full characteristic curve of a pumped-storage unit, provided in this embodiment, converts control points into a specific set of points, providing clear data objects for subsequent processing. Furthermore, obtaining displacement information of the control points can reflect changes in the unit's characteristics. Finally, by using a preset interpolation function and combining the changes in the control points, the positions of the deformed points can be accurately calculated, providing data support for the subsequent construction of the target deformation function.

[0108] In this embodiment, a non-rigid construction method of the full characteristic curve of a pumped storage unit is provided, which can be used for electronic devices such as computers, mobile phones, tablet computers, etc. Figure 3 Flowchart of the non-rigid construction method of the full characteristic curve of the pumped storage unit according to an embodiment of the present invention. Figure 3 As shown, the process includes the following steps:

[0109] Step S301: Obtain the initial full characteristic curve of the pumped storage unit. Figure 1 Step S101 of the illustrated embodiment will not be described in detail here.

[0110] Step S302: Select multiple characteristic intersection lines from the initial full characteristic curve and determine the multiple characteristic intersection lines as multiple non-rigid construction control points. Figure 1 Step S102 of the illustrated embodiment will not be described in detail here.

[0111] Step S303: Obtain the initial feature intersection point set and the target feature intersection point set of multiple non-rigid construction control points. Figure 2 Step S203 of the illustrated embodiment will not be described in detail here.

[0112] Step S304 : constructing a target deformation function based on the initial feature intersection point set and the target feature intersection point set by using a thin plate spline interpolation method.

[0113] Specifically, the above step S304 includes:

[0114] Step S3041 : Based on the target feature intersection point set, a plurality of thin plate spline values are obtained by thin plate spline function calculation.

[0115] The thin plate spline function is expressed as follows:

[0116]

[0117] Where: z(n 11 ,Q 11 ,M 11 ) represents the point (n 11 ,Q 11 ,M 11 ) thin plate spline value; U(r) represents the thin plate spline basis function; r represents the point (n 11 ,Q 11 ,M 11 ) to the origin.

[0118] Specifically, the target feature intersection point set {T i}={n′ 11i,Q′ 11i M′ 11i Substituting each point in} into the above relationship (3), the corresponding thin plate spline value can be calculated.

[0119] Step S3042: Determine the target matrix based on the target feature intersection point set.

[0120] In some optional implementations, the above step S3042 includes:

[0121] Step a1: construct a thin plate spline basis function matrix and a coordinate matrix based on the target feature intersection point set.

[0122] Step a2: Determine the target matrix based on the thin plate spline basis function matrix and the coordinate matrix.

[0123] First, let the target feature intersection point set {T i Any point P in i ={n 11i ,Q 11i ,M 11i},i=1,2,…,n,,r=|P i -S i | is the Euclidean distance between points.

[0124] Furthermore, the thin plate spline basis function matrix K is an n×n matrix, as shown in the following equation (4):

[0125]

[0126] Furthermore, the coordinate matrix P is an n×4 matrix, as shown in the following equation (5):

[0127]

[0128] Specifically, based on the target feature intersection point set, the corresponding thin plate spline basis function matrix K and coordinate matrix P can be constructed in combination with the above relationship (3).

[0129] Furthermore, the corresponding target matrix can be determined according to the thin plate spline basis function matrix K and the coordinate matrix P, as shown in the following equation (6):

[0130]

[0131] The target matrix is a (n+4)×n×4 matrix.

[0132] Step S3043: Calculate multiple thin plate spline interpolation coefficient values and multiple linear term coefficient values according to the multiple thin plate spline values and the target matrix.

[0133] In some optional implementations, step S3043 includes:

[0134] Step b1: construct a first row vector based on multiple thin plate spline values.

[0135] Step b2: Determine the second row vector based on the first row vector.

[0136] Step b3: Calculate multiple thin plate spline interpolation coefficient values and multiple linear term coefficient values based on the target matrix and the second row vector.

[0137] Specifically, the first row vector V is constructed according to multiple thin plate spline values, as shown in the following equation (7):

[0138] V=(z1(n 111 ,Q 111 ,M 111 ),z1(n 112 ,Q 112 ,M 112 ),…,z n (n 11n ,Q 11n ,M 11n )) (7)

[0139] Furthermore, the second row vector Y is determined according to the first row vector V, as shown in the following equation (8):

[0140] Y=(V,0,0,0,) T (8)

[0141] Furthermore, according to the target matrix L and the second row vector Y, the corresponding multiple thin plate spline interpolation coefficient values and multiple linear term coefficient values can be calculated using the following relationship (9):

[0142] L -1 Y=(W|a1a x a y a z ) T (9)

[0143] Where: W=(ω1,ω2,…,ω n ) T represents the thin plate spline interpolation coefficient vector; ω i ,i=1,2,…,n represents the thin plate spline interpolation coefficient value; a1, a x 、a y 、a z Both represent the linear term coefficient values.

[0144] Step S3044: construct a target deformation function based on the initial feature intersection point set, the target feature intersection point set, multiple thin plate spline interpolation coefficient values, and multiple linear term coefficient values.

[0145] Specifically, combined with the initial feature intersection point set {S i}、Target feature intersection point set {T i}, multiple thin plate spline interpolation coefficient values ω i and multiple linear term coefficient values a1, a x 、a y 、a z , the corresponding target deformation function f(P) can be constructed as shown in the following equation (10):

[0146]

[0147] Among them, P i is the target feature intersection point set {T i} any point in .

[0148] Step S305 : constructing a target full characteristic curve of the pumped storage unit based on a preset penalty function and a target deformation function.

[0149] The preset penalty function can be obtained by the following steps:

[0150] Step c1, obtaining the thin plate spline deformation conditions.

[0151] Step c2: determining a preset penalty function according to the thin plate spline deformation condition.

[0152] Specifically, according to the definition of thin plate spline interpolation, the thin plate spline deformation condition is: the thin plate spline deformation must satisfy the point (n 11i ,Q 11i ,M 11i The deformation of the imaginary metal plate at ) is z i And at the same time has minimum bending energy.

[0153] Furthermore, in order to satisfy the thin plate spline deformation conditions, it is necessary to determine a deformation function f(n 11 ,Q 11 ,M 11 ), so that its penalty function takes the minimum value.

[0154] Therefore, according to the thin plate spline deformation condition, the preset penalty function is determined as shown in the following equation (11):

[0155]

[0156] Further, according to the description of step S105, the target full characteristic curve of the pumped storage unit is constructed using the target deformation function, and the constructed target full characteristic curve of the pumped storage unit is obtained when the preset penalty function shown in the above relationship (11) obtains the minimum value.

[0157] The non-rigid construction method for the full characteristic curve of a pumped-storage unit provided in this embodiment calculates thin plate spline values using thin plate spline functions, which can reflect the characteristics of each point in a target point set. Furthermore, by constructing a thin plate spline basis function matrix and a coordinate matrix, information about the target point set can be reflected from different perspectives. Furthermore, by combining the basis function matrix and the coordinate matrix, a target matrix is obtained, which integrates the relationships between points and their coordinate information. Furthermore, by constructing the first row vector and the second row vector, a suitable vector form is provided for operations with the target matrix. Furthermore, through operations on the target matrix and the second row vector, the thin plate spline interpolation coefficients and linear term coefficients can be accurately calculated, thereby enabling the subsequently constructed target deformation function to more accurately fit changes in the unit's characteristics, thereby improving the accuracy of the constructed target full characteristic curve. Furthermore, by obtaining the thin plate spline deformation conditions, the constraints on the thin plate spline deformation can be clearly defined. Furthermore, a preset penalty function determined based on the thin plate spline deformation conditions can be used to constrain the target deformation function during the construction of the target full characteristic curve, thereby ensuring that the generated curve conforms to physical laws.

[0158] In one example, the original full characteristic curve of a pumped storage unit is as follows: Figure 4A and Figure 4B As shown, further, a new full characteristic curve is constructed according to the method provided in the above embodiment of the present invention.

[0159] Specifically, the characteristic intersection line of the full characteristic curve of this pumped storage unit is marked as follows: Figure 4A and Figure 4B shown.

[0160] Furthermore, given the possible displacements of three characteristic intersection lines, the results of the constructed new full characteristic curve are shown:

[0161] Case 1: The minimum speed line of the pump area remains unchanged, and the unit speed of the maximum speed line of the turbine area increases by 5%;

[0162] Case 2: The minimum speed line in the pump area remains unchanged, and the unit flow rate of the zero torque intersection line in the turbine area is reduced by 15%;

[0163] Case 3: The minimum speed line in the pump area remains unchanged, and the unit torque of the zero flow intersection line in the turbine area increases by 25%;

[0164] Furthermore, the new full characteristic curves of the three cases are as follows: 5A to 7D shown.

[0165] Further, according to 5A to 7D It can be seen that the full characteristic curve after the non-rigid construction has the same trend as the original full characteristic curve. In case 1, the change in the unit speed variable leads to global deformation of the flow and torque characteristic curves. In contrast, in cases 2 and 3, changes in the unit flow or unit torque only affect the corresponding characteristic curves, demonstrating the rationality of the control point design and selection.

[0166] This embodiment also provides a non-rigid construction device for the full characteristic curve of a pumped storage unit. This device is used to implement the above-mentioned embodiments and preferred embodiments, and the details already described will not be repeated. As used below, the term "module" can refer to a combination of software and / or hardware that implements a predetermined function. Although the devices described in the following embodiments are preferably implemented in software, implementation using hardware, or a combination of software and hardware, is also possible and contemplated.

[0167] This embodiment provides a non-rigid structure device with full characteristic curve of pumped storage unit, such as Figure 8 As shown, the device includes:

[0168] The first acquisition module 801 is used to obtain the initial full characteristic curve of the pumped storage unit.

[0169] The selection module 802 is used to select multiple characteristic intersection lines in the initial full characteristic curve and determine the multiple characteristic intersection lines as multiple non-rigid construction control points.

[0170] The second acquisition module 803 is used to acquire an initial feature intersection point set and a target feature intersection point set of multiple non-rigid construction control points.

[0171] The first construction module 804 is used to construct a target deformation function based on the initial feature intersection point set and the target feature intersection point set by using a thin plate spline interpolation method.

[0172] The second construction module 805 is used to construct a target full characteristic curve of the pumped storage unit based on a preset penalty function and a target deformation function. The target full characteristic curve is used to describe the operating characteristics of the pumped storage unit under different working conditions.

[0173] In some optional implementations, the second acquisition module 803 includes:

[0174] The first generating submodule is used to generate an initial feature intersection point set according to a plurality of non-rigid construction control points.

[0175] The second generation submodule is used to obtain the displacement of each non-rigid structural control point and generate a characteristic intersection line displacement set.

[0176] The processing submodule is used to obtain the target feature intersection point set based on the feature intersection displacement set and the initial feature intersection point set through processing with a preset interpolation function.

[0177] In some optional implementations, the first construction module 804 includes:

[0178] The first calculation submodule is used to obtain a plurality of thin plate spline values by performing thin plate spline function calculation based on a target feature intersection point set.

[0179] The determination submodule is used to determine the target matrix based on the target feature intersection point set.

[0180] The second calculation submodule is used to calculate a plurality of thin plate spline interpolation coefficient values and a plurality of linear term coefficient values according to a plurality of thin plate spline values and a target matrix.

[0181] A submodule is constructed to construct a target deformation function according to an initial feature intersection point set, a target feature intersection point set, a plurality of thin plate spline interpolation coefficient values and a plurality of linear term coefficient values.

[0182] In some optional implementations, the determining submodule includes:

[0183] The first construction unit is used to construct a thin plate spline basis function matrix and a coordinate matrix according to a target feature intersection point set.

[0184] The first determining unit is used to determine the target matrix according to the thin plate spline basis function matrix and the coordinate matrix.

[0185] In some optional implementations, the second calculation submodule includes:

[0186] The second construction unit is configured to construct a first row vector according to a plurality of thin plate spline values.

[0187] The second determining unit is configured to determine the second row vector according to the first row vector.

[0188] The calculation unit is used to calculate multiple thin plate spline interpolation coefficient values and multiple linear term coefficient values according to the target matrix and the second row vector.

[0189] In some optional embodiments, the device further comprises:

[0190] The third acquisition module is used to obtain the deformation conditions of the thin plate spline.

[0191] The determination module is used to determine a preset penalty function according to the thin plate spline deformation condition.

[0192] In some optional embodiments, the multiple characteristic intersection lines include: the minimum speed line in the water pump area, the zero flow intersection line in the water pump area, the zero speed intersection line at the junction of the water pump and the turbine, the maximum efficiency line in the turbine area, the zero torque intersection line in the turbine area, the zero flow intersection line in the turbine area, the maximum speed line in the turbine area and the zero opening line.

[0193] The further functional description of each of the above modules and units is the same as that of the above corresponding embodiments and will not be repeated here.

[0194] The non-rigid construction device of the full characteristic curve of the pumped storage unit in this embodiment is presented in the form of a functional unit, where the unit refers to an ASIC (Application Specific Integrated Circuit) circuit, a processor and memory that executes one or more software or fixed programs, and / or other devices that can provide the above functions.

[0195] The embodiment of the present invention also provides a computer device having the above Figure 8 The non-rigid structural device of the full characteristic curve of the pumped storage unit is shown.

[0196] See also Figure 9 , Figure 9 is a structural diagram of a computer device provided by an optional embodiment of the present invention, such as Figure 9 As shown, the computer device includes: one or more processors 10, a memory 20, and interfaces for connecting various components, including high-speed interfaces and low-speed interfaces. Various components utilize different buses to communicate with each other and can be installed on a common mainboard or installed in other ways as needed. The processor can process the instructions executed in the computer device, including instructions stored in or on the memory to display the graphical information of a GUI on an external input / output device (such as, a display device coupled to the interface). In some optional embodiments, if necessary, multiple processors and / or multiple buses can be used together with multiple memories. Equally, multiple computer devices can be connected, and each device provides part of the necessary operations (for example, as a server array, a group of blade servers, or a multi-processor system). Figure 9 A processor 10 is taken as an example.

[0197] The processor 10 may be a central processing unit, a network processor, or a combination thereof. The processor 10 may further include a hardware chip. The hardware chip may be an application-specific integrated circuit, a programmable logic device, or a combination thereof. The programmable logic device may be a complex programmable logic device, a field programmable gate array, a general purpose array logic, or any combination thereof.

[0198] The memory 20 stores instructions that can be executed by at least one processor 10, so as to enable at least one processor 10 to execute the method shown in the above embodiment.

[0199] The memory 20 may include a program storage area and a data storage area, wherein the program storage area may store an operating system and application programs required for at least one function; the data storage area may store data created based on the use of the computer device, etc. In addition, the memory 20 may include a high-speed random access memory, and may also include a non-transient memory, such as at least one disk storage device, a flash memory device, or other non-transient solid-state storage device. In some optional embodiments, the memory 20 may optionally include a memory remotely located relative to the processor 10, and these remote memories may be connected to the computer device via a network. Examples of the above-mentioned network include, but are not limited to, the Internet, an intranet, a local area network, a mobile communication network, and combinations thereof.

[0200] The memory 20 may include a volatile memory, such as a random access memory; the memory may also include a non-volatile memory, such as a flash memory, a hard disk or a solid-state drive; the memory 20 may also include a combination of the above types of memory.

[0201] The computer device further includes a communication interface 30 for the computer device to communicate with other devices or a communication network.

[0202] The embodiment of the present invention also provides a computer-readable storage medium. The above-mentioned method according to the embodiment of the present invention can be implemented in hardware, firmware, or implemented as a computer code that can be recorded in a storage medium, or implemented as a computer code that is originally stored in a remote storage medium or a non-temporary machine-readable storage medium and downloaded through a network and will be stored in a local storage medium, so that the method described herein can be stored in such software processing on a storage medium using a general-purpose computer, a dedicated processor, or programmable or dedicated hardware. Among them, the storage medium can be a magnetic disk, an optical disk, a read-only storage memory, a random access memory, a flash memory, a hard disk or a solid-state drive, etc.; further, the storage medium can also include a combination of the above-mentioned types of memory. It can be understood that a computer, a processor, a microprocessor controller or programmable hardware includes a storage component that can store or receive software or computer code. When the software or computer code is accessed and executed by a computer, a processor or hardware, the method shown in the above embodiment is implemented.

[0203] A portion of the present invention may be applied as a computer program product, such as a computer program instruction, which, when executed by a computer, can call or provide the method and / or technical solution according to the present invention through the operation of the computer. Those skilled in the art should understand that the form in which the computer program instruction exists in a computer-readable medium includes, but is not limited to, a source file, an executable file, an installation package file, etc. Accordingly, the way in which the computer program instruction is executed by the computer includes, but is not limited to: the computer directly executes the instruction, or the computer compiles the instruction and then executes the corresponding compiled program, or the computer reads and executes the instruction, or the computer reads and installs the instruction and then executes the corresponding installed program. Here, the computer-readable medium may be any available computer-readable storage medium or communication medium that can be accessed by the computer.

[0204] Although the embodiments of the present invention have been described with reference to the accompanying drawings, those skilled in the art may make various modifications and variations without departing from the spirit and scope of the present invention. Such modifications and variations are all within the scope defined by the appended claims.

Claims

1. A non-rigid construction method for the full characteristic curve of a pumped storage unit, characterized in that: The method comprises: Obtain the initial full characteristic curve of the pumped storage unit; Selecting a plurality of characteristic intersection lines from the initial full characteristic curve and determining the plurality of characteristic intersection lines as a plurality of non-rigid construction control points; Obtaining an initial feature intersection point set and a target feature intersection point set of the plurality of non-rigid construction control points; Based on the initial feature intersection point set and the target feature intersection point set, a target deformation function is constructed by processing with a thin plate spline interpolation method; Based on a preset penalty function, a target full characteristic curve of the pumped-storage unit is constructed according to the target deformation function, and the target full characteristic curve is used to describe the operating characteristics of the pumped-storage unit under different working conditions.

2. The method according to claim 1, characterized in that Obtaining an initial feature intersection point set and a target feature intersection point set of the plurality of non-rigid construction control points includes: generating the initial feature intersection point set according to the plurality of non-rigid construction control points; Obtain the displacement of each non-rigid structural control point and generate a characteristic intersection displacement set; Based on the characteristic intersection line displacement set and the initial characteristic intersection line point set, the target characteristic intersection line point set is obtained through processing with a preset interpolation function.

3. The method according to claim 1, characterized in that Based on the initial feature intersection point set and the target feature intersection point set, a target deformation function is constructed by processing with a thin plate spline interpolation method, including: Based on the target feature intersection point set, a plurality of thin plate spline values are obtained by thin plate spline function calculation; Determining a target matrix according to the target feature intersection point set; Calculating a plurality of thin plate spline interpolation coefficient values and a plurality of linear term coefficient values according to the plurality of thin plate spline values and the target matrix; The target deformation function is constructed according to the initial feature intersection point set, the target feature intersection point set, the multiple thin plate spline interpolation coefficient values and the multiple linear term coefficient values.

4. The method according to claim 3, characterized in that Determining a target matrix according to the target feature intersection point set includes: Constructing a thin plate spline basis function matrix and a coordinate matrix according to the target feature intersection point set; The target matrix is determined according to the thin plate spline basis function matrix and the coordinate matrix.

5. The method according to claim 3, characterized in that Calculating a plurality of thin plate spline interpolation coefficient values and a plurality of linear term coefficient values according to the plurality of thin plate spline values and the target matrix, including: constructing a first row vector according to the plurality of thin plate spline values; Determine a second row vector according to the first row vector; The plurality of thin plate spline interpolation coefficient values and the plurality of linear term coefficient values are calculated according to the target matrix and the second row vector.

6. The method according to claim 1, characterized in that The method further comprises: Get the thin plate spline deformation conditions; The preset penalty function is determined according to the thin plate spline deformation condition.

7. The method according to claim 1, characterized in that The multiple characteristic intersection lines include: the lowest speed connection line in the water pump area, the zero flow intersection line in the water pump area, the zero speed intersection line at the junction of the water pump and the turbine, the highest efficiency connection line in the turbine area, the zero torque intersection line in the turbine area, the zero flow intersection line in the turbine area, the highest speed connection line in the turbine area and the zero opening line.

8. A non-rigid structure device for the full characteristic curve of a pumped storage unit, characterized in that: The device comprises: A first acquisition module is used to obtain an initial full characteristic curve of the pumped storage unit; A selection module, configured to select a plurality of characteristic intersection lines from the initial full characteristic curve and determine the plurality of characteristic intersection lines as a plurality of non-rigid construction control points; A second acquisition module is used to acquire an initial feature intersection point set and a target feature intersection point set of the plurality of non-rigid structural control points; A first construction module is configured to construct a target deformation function based on the initial feature intersection point set and the target feature intersection point set by a thin plate spline interpolation method; The second construction module is used to construct a target full characteristic curve of the pumped-storage unit according to the target deformation function based on a preset penalty function, and the target full characteristic curve is used to describe the operating characteristics of the pumped-storage unit under different working conditions.

9. A computer-readable storage medium, characterized in that The computer-readable storage medium stores computer instructions, which are used to enable a computer to execute the non-rigid construction method of the full characteristic curve of the pumped storage unit according to any one of claims 1 to 6.

10. A computer program product, characterized in that The method comprises computer instructions for causing a computer to execute the non-rigid construction method of the full characteristic curve of the pumped storage unit according to any one of claims 1 to 6.

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