A method for suppressing shafting oscillation of a compressed air energy storage system
By using the inertia adjustment unit in the shaft system device of the compressed air energy storage system, the natural oscillation frequency of the expander is solved, and the safety and stability of the system is improved.
Patent Information
- Application Number
- CN202311799504.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2023-12-25
- Publication Date
- 2025-06-20
- Estimated Expiration
- 2043-12-25
AI Technical Summary
When the compressed air energy storage system faces continuous impact and disturbance, axial system may oscillate, resulting in fatigue life loss of the shaft system, and may even cause axial system cracks and fracture accidents.
By providing an inertia adjustment unit on the expander of the shaft system device, including a fixing part, a connecting part and a counterweight, the natural oscillation frequency and disturbance frequency of each expander are obtained. If the difference is less than or equal to the threshold value, the position of the counterweight is adjusted to change the natural oscillation frequency and avoid resonance.
It effectively avoids resonance and shaft system oscillation caused by the closeness of the natural oscillation frequency to the disturbance frequency, reduces the loss of the expander, avoids shaft system cracks and fracture accidents, and improves the safety and stability of the system.
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Figure CN118040710B_ABST
Abstract
Description
Technical Field
[0001] The present application relates to the field of new energy technologies, and particularly to a method for suppressing shaft system oscillation in a compressed air energy storage system. Background Art
[0002] With the development of a new power system mainly based on new energy, the non-supplementary combustion compressed air energy storage technology, as a large-scale clean physical energy storage technology, eliminates the process of fossil fuel combustion, realizes non-combustion and zero carbon emissions throughout the process, and improves the cycle efficiency of the entire system.
[0003] In related technologies, the turbine-side structure with multi-stage expansion and inter-stage heating has become the main structure form of large-scale compressed air energy storage systems. However, when the compressed air energy storage system faces continuous impacts and disturbances, especially when the disturbance frequency is close to the natural oscillation frequency of the shaft system device in the compressed air energy storage system, resonance will occur, resulting in shaft system oscillation, thereby generating a large continuous cyclic torsional stress, causing serious fatigue life loss to the shaft system of the shaft system device, and even possibly leading to shaft system cracks and fracture accidents, affecting the operation of the compressed air energy storage system. Summary of the Invention
[0004] The present invention aims to solve at least one of the technical problems in the related technologies to some extent. To this end, an object of the present invention is to propose a method for suppressing shaft system oscillation in a compressed air energy storage system, which can effectively avoid the problem of shaft system oscillation caused by resonance due to the proximity of the natural oscillation frequency of the expander to the disturbance frequency, and realize the suppression of shaft system oscillation.
[0005] A method for suppressing shaft system oscillation in a compressed air energy storage system according to an embodiment of the present invention is applied to a shaft system device of a compressed air energy storage system. The shaft system device includes at least one expander, and an inertia adjustment unit is provided on each expander; the inertia adjustment unit includes a fixing part, a plurality of connecting parts, and a plurality of counterweight blocks. The fixing part is sleeved on the rotating shaft of the impeller of the expander, the plurality of connecting parts are arranged circumferentially along the rotating shaft, one end of each connecting part is connected to the fixing part, the other end of each connecting part is connected to the impeller, and each counterweight block is slidably connected to a corresponding connecting part; the method includes:
[0006] Obtain the natural oscillation frequency of each expander;
[0007] Obtain the disturbance frequency from each expander and the disturbance frequency from the grid side;
[0008] If the difference between the natural oscillation frequency of the target expander in at least one expander and the target disturbance frequency is less than or equal to the difference threshold, adjust the position of each counterweight block on the corresponding connecting part in the target expander so that the difference is greater than the difference threshold.
[0009] In some embodiments of the present invention, the shafting device further includes: a gearbox and a synchronous generator. Each expander is connected to a secondary gear of the gearbox through a first rotating shaft, and the synchronous generator is connected to the main gear of the gearbox through a second rotating shaft; obtaining the natural oscillation frequencies of the respective expanders, including:
[0010] Obtaining an inertia time constant matrix and a stiffness coefficient matrix. The inertia time constant matrix is a diagonal matrix, and multiple diagonal elements of the inertia time constant matrix correspond one-to-one to multiple components of the shafting device; the stiffness coefficient matrix includes the stiffness coefficients of at least one first rotating shaft, the stiffness coefficient of the second rotating shaft, and the transmission ratio of each secondary gear;
[0011] Determining the product of the inertia time constant matrix and the inverse matrix of the stiffness coefficient matrix to obtain a target matrix;
[0012] Based on the target matrix, determining the natural oscillation frequencies of the respective expanders.
[0013] In some embodiments of the present invention, based on the target matrix, determining the natural oscillation frequencies of the respective expanders includes:
[0014] Determining the eigenvalues of the target matrix;
[0015] For each expander, based on the eigenvalue corresponding to the expander, determining the natural oscillation frequency of the expander, and the natural oscillation frequency of the expander is positively correlated with the eigenvalue.
[0016] In some embodiments of the present invention, the method further includes:
[0017] Obtaining the rated speeds of the respective components in the shafting device;
[0018] Arranging the multiple rated speeds in descending order to obtain a first sequence, and arranging the multiple eigenvalues in descending order to obtain a second sequence;
[0019] For each expander, determining the target eigenvalue in the second sequence as the eigenvalue corresponding to the expander;
[0020] Wherein, the arrangement position of the target eigenvalue in the second sequence is the same as the arrangement position of the rated speed of the expander in the first sequence.
[0021] In some embodiments of the present invention, obtaining the inertia time constant matrix includes:
[0022] For each component in the shafting device, obtaining the moment of inertia and speed of the component. Wherein, if the component is an expander, the speed is the rated angular velocity; if the component is a gearbox or a synchronous generator, the speed is the rotational speed;
[0023] Obtaining the base capacity of the shafting device;
[0024] Determine the ratio of the square of the speed to the reference capacity;
[0025] Determine the product of the ratio and the moment of inertia as the diagonal element corresponding to the component.
[0026] In some embodiments of the present invention, at least one expander includes a first expander, a second expander, and a third expander; the stiffness coefficient matrix K satisfies:
[0027]
[0028] Wherein, K1 is the stiffness coefficient of the first rotating shaft corresponding to the first expander, K2 is the stiffness coefficient of the first rotating shaft corresponding to the second expander, K3 is the stiffness coefficient of the first rotating shaft corresponding to the third expander, K4 is the stiffness coefficient of the second rotating shaft, K5 is equal to K4, r1 is the transmission ratio of the secondary gear connected to the first expander, r2 is the transmission ratio of the secondary gear connected to the second expander, and r3 is the transmission ratio of the secondary gear connected to the third expander.
[0029] In some embodiments of the present invention, there are multiple target disturbance frequencies; adjusting the position of each counterweight on the corresponding connection part in the target expander includes:
[0030] Adjust the position of each counterweight on the corresponding connection part in the target expander according to the maximum target disturbance frequency.
[0031] In some embodiments of the present invention, a first disturbance monitor is provided on each expander, and a second disturbance monitor is provided on the grid side; obtaining the disturbance frequencies from each expander and the disturbance frequency from the grid side includes:
[0032] Obtain the disturbance frequency from the expander through the first disturbance monitor on each expander;
[0033] Obtain the disturbance frequency from the grid side through the second disturbance monitor.
[0034] In some embodiments of the present invention, obtaining the natural oscillation frequencies of each expander includes:
[0035] When each counterweight is located at the preset position of the corresponding connection part, obtain the natural oscillation frequencies of each expander;
[0036] Adjusting the position of each counterweight on the corresponding connection part in the target expander includes:
[0037] Control each counterweight in the target expander to move away from the fixed part from the preset position.
[0038] In some embodiments of the present invention, the preset position is the central position of the connection part.
[0039] In summary, the embodiment of the present invention provides a method for suppressing shafting oscillation in a compressed air energy storage system. In this method, after the position adjustment device acquires the natural oscillation frequencies of each expander, the disturbance frequencies from each expander, and the disturbance frequency from the power grid side, if the difference between the natural oscillation frequency of the target expander in at least one expander and the target disturbance frequency is less than or equal to the difference threshold, the position of each counterweight on the corresponding connecting part in the target expander is adjusted to make the difference greater than the difference threshold.
[0040] Since the position adjustment device adjusts the position of each counterweight on the corresponding connecting part in the target expander when the difference between the natural oscillation frequency of the target expander and the target disturbance frequency is less than or equal to the difference threshold, so as to change the natural oscillation frequency of the target expander and make the difference greater than the difference threshold. Thus, it is possible to effectively avoid the problem of shafting oscillation caused by resonance due to the proximity of the natural oscillation frequency of the target expander to the target disturbance frequency, realize the suppression of shafting oscillation, thereby reducing the loss of the target expander, avoiding the occurrence of shafting cracks and fractures, and improving the safety and stability of the system operation.
[0041] Additional aspects and advantages of the present invention will be given in part in the following description, become apparent in part from the following description, or be learned through the practice of the present invention. Description of the Drawings
[0042] Figure 1 is a schematic structural diagram of a shafting device of a compressed air energy storage system provided by an embodiment of the present invention;
[0043] Figure 2 is a flowchart of a method for suppressing shafting oscillation in a compressed air energy storage system provided by an embodiment of the present invention;
[0044] Figure 3 is a flowchart of another method for suppressing shafting oscillation in a compressed air energy storage system provided by an embodiment of the present invention;
[0045] Figure 4 is a schematic structural diagram of an inertia regulation unit provided by an embodiment of the present invention;
[0046] Figure 5 is a schematic structural diagram of a shafting model of a shafting device assembly of a compressed air energy storage system provided by an embodiment of the present invention;
[0047] Figure 6 is a schematic structural diagram of a position adjustment device provided by an embodiment of the present invention;
[0048] Figure 7 is a block diagram of a device for suppressing shafting oscillation in a compressed air energy storage system provided by an embodiment of the present invention. Detailed Embodiments
[0049] The embodiments of the present invention will be described in detail below. Examples of the embodiments are shown in the accompanying drawings, where the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The embodiments described below by referring to the accompanying drawings are exemplary and are intended to explain the present invention, but should not be construed as limiting the present invention.
[0050] An embodiment of the present invention provides a compressed air energy storage system, and the compressed air energy storage system includes a shafting device of the compressed air energy storage system. Figure 1 It is a schematic structural diagram of a shafting device of a compressed air energy storage system provided by an embodiment of the present invention. As Figure 1 shown, the shafting device 100 of the compressed air energy storage system includes a position adjustment device ( Figure 1 not shown in the figure), at least one expander ( Figure 1 3 expanders are shown in the figure, namely the first expander 11, the second expander 12 and the third expander 13), a gearbox 20 and a synchronous generator 30.
[0051] Among them, each expander is connected to a secondary gear PI of the gearbox 20 through a first rotating shaft SH1, and the synchronous generator 30 is connected to the main gear GE of the gearbox 20 through a second rotating shaft SH2.
[0052] An inertia adjustment unit ( Figure 1 not shown in the figure) is provided on each expander. The inertia adjustment unit includes a fixing part, a plurality of connecting parts and a plurality of counterweight blocks. The fixing part is sleeved on the rotating shaft of the impeller of the expander. The plurality of connecting parts are arranged circumferentially along the rotating shaft. One end of each connecting part is connected to the fixing part, and the other end of each connecting part is connected to the impeller. Each counterweight block is slidably connected to a corresponding connecting part.
[0053] Figure 2 It is a flowchart of a method for suppressing shafting oscillation of a compressed air energy storage system provided by an embodiment of the present invention. This method can be applied to Figure 1 the shafting device of the compressed air energy storage system shown in Figure 2 the figure. As
[0054] shown, this method includes:
[0055] Step 201, obtain the natural oscillation frequencies of each expander.
[0056] The position adjustment device obtains the natural oscillation frequencies of each expander.
[0057] Step 202, obtain the disturbance frequencies from each expander and the disturbance frequencies from the grid side.After the position adjustment device obtains the natural oscillation frequencies of each expander, it can obtain the disturbance frequencies from each expander and the disturbance frequencies from the grid side.
[0058] Step 203: If the difference between the natural oscillation frequency of the target expander in at least one expander and the target disturbance frequency is less than or equal to the difference threshold, adjust the position of each counterweight on the corresponding connecting part in the target expander so that the difference is greater than the difference threshold.
[0059] After the position adjustment device obtains the natural oscillation frequencies of each expander, the disturbance frequencies from each expander, and the disturbance frequencies from the grid side, if the difference between the natural oscillation frequency of the target expander in at least one expander and the target disturbance frequency is less than or equal to the difference threshold, the position of each counterweight on the corresponding connecting part in the target expander can be adjusted so that the difference is greater than the difference threshold. Among them, the position adjustment device can pre-store the difference threshold. And the target disturbance frequency can be one or more of the disturbance frequencies from each expander and the disturbance frequencies from the grid side.
[0060] In summary, the embodiment of the present invention provides a method for suppressing the shafting oscillation of a compressed air energy storage system. In this method, after the position adjustment device obtains the natural oscillation frequencies of each expander, the disturbance frequencies from each expander, and the disturbance frequencies from the grid side, if the difference between the natural oscillation frequency of the target expander in at least one expander and the target disturbance frequency is less than or equal to the difference threshold, the position of each counterweight on the corresponding connecting part in the target expander can be adjusted so that the difference is greater than the difference threshold.
[0061] Since the position adjustment device adjusts the position of each counterweight on the corresponding connecting part in the target expander when the difference between the natural oscillation frequency of the target expander and the target disturbance frequency is less than or equal to the difference threshold, so as to change the natural oscillation frequency of the target expander and make the difference greater than the difference threshold. Thereby, it can effectively avoid the problem of shafting oscillation caused by resonance due to the proximity of the natural oscillation frequency of the target expander and the target disturbance frequency, realize the suppression of shafting oscillation, thereby reducing the loss of the target expander, avoiding the occurrence of shafting cracks and fracture accidents, and improving the safety and stability of the system operation.
[0062] Figure 3 It is a flowchart of another method for suppressing the shafting oscillation of a compressed air energy storage system provided by an embodiment of the present invention. This method can be applied to Figure 1 the shafting device of the compressed air energy storage system shown in Figure 3 As shown in, this method includes:
[0063] Step 301: Obtain the inertia time constant matrix and the stiffness coefficient matrix.
[0064] The position adjustment device can obtain the inertia time constant matrix and the stiffness coefficient matrix.
[0065] Optionally, when each counterweight is located at the preset position of the corresponding connecting part, the position adjustment device can obtain the inertia time constant matrix and the stiffness coefficient matrix. Wherein, the preset position can be the central position of the connecting part, and the counterweight can be an additional mass block. The inertia time constant matrix is a diagonal matrix, and the multiple diagonal elements of the inertia time constant matrix correspond one by one to the multiple components of the shafting device. The stiffness coefficient matrix includes the stiffness coefficients of at least one first rotating shaft, the stiffness coefficient of the second rotating shaft, and the transmission ratios of each auxiliary gear. And the dimension of the stiffness coefficient matrix is the same as the dimension of the inertia time constant matrix. For example, the dimensions of both the stiffness coefficient matrix and the inertia time constant matrix can be 5.
[0066] Among them, the multiple components of the shafting device can be a gearbox, a synchronous generator, and at least one expander. In the embodiment of the present invention, the number of expanders is taken as 3 for illustration. The at least one expander can include a first expander, a second expander, and a third expander. Correspondingly, the multiple diagonal elements of the inertia time constant matrix can be 5, and the 5 diagonal elements correspond to the first expander, the second expander, the third expander, the gearbox, and the synchronous generator one by one.
[0067] The stiffness coefficient matrix includes the stiffness coefficient of the first rotating shaft corresponding to the first expander, the stiffness coefficient of the first rotating shaft corresponding to the second expander, the stiffness coefficient of the first rotating shaft corresponding to the third expander, the stiffness coefficient of the second rotating shaft, and the transmission ratios of each auxiliary gear.
[0068] Optionally, for each component in the shafting device, the position adjustment device can obtain the moment of inertia, speed, and reference capacity of the shafting device of the component, determine the ratio of the square of the speed to the reference capacity, and determine the product of the ratio and the moment of inertia as the diagonal element corresponding to the component. Wherein, if the component is an expander, the speed is the rated angular velocity; if the component is a gearbox or a synchronous generator, the speed is the rotational speed. The position adjustment device can pre-store the speed and the reference capacity.
[0069] Among them, the inertia time constant M corresponding to the i-th component i Satisfies:
[0070]
[0071] ω Ni Is the speed of the i-th component, S B Is the reference capacity, J iis the moment of inertia of the i-th component, and the value of i can be 1, 2, 3, 4, or 5. In the embodiments of the present invention, when i = 1, the corresponding component is the first expander; when i = 2, the corresponding component is the second expander; when i = 3, the corresponding component is the third expander; when i = 4, the corresponding component is the synchronous generator; when i = 5, the corresponding component is the gearbox. The inertia time constant M i is the i-th diagonal element of the inertia time constant matrix.
[0072] Optionally, the stiffness coefficient matrix K satisfies:
[0073]
[0074] wherein, K1 is the stiffness coefficient of the first rotating shaft corresponding to the first expander, K2 is the stiffness coefficient of the first rotating shaft corresponding to the second expander, K3 is the stiffness coefficient of the first rotating shaft corresponding to the third expander, K4 is the stiffness coefficient of the second rotating shaft, and K5 is equal to K4. r1 is the transmission ratio of the auxiliary gear connected to the first expander, r2 is the transmission ratio of the auxiliary gear connected to the second expander, and r3 is the transmission ratio of the auxiliary gear connected to the third expander. The position adjustment device can pre-store the values of the stiffness coefficients K1 to K5 and the transmission ratios r1 to r3.
[0075] It should be noted that the first rotating shafts corresponding to the respective expanders and the second rotating shaft corresponding to the synchronous generator are all different rotating shafts, and the stiffness coefficients of the respective first rotating shafts and the stiffness coefficient of the second rotating shaft are different.
[0076] Step 302: Determine the product of the inertia time constant matrix and the inverse matrix of the stiffness coefficient matrix to obtain the target matrix.
[0077] After obtaining the inertia time constant matrix and the stiffness coefficient matrix, the position adjustment device can determine the product of the inertia time constant matrix and the inverse matrix of the stiffness coefficient matrix to obtain the target matrix. The target matrix P satisfies:
[0078] P = MK -1
[0079] wherein, M is the inertia time constant matrix.
[0080] Step 303: Determine the natural oscillation frequencies of the respective expanders based on the target matrix.
[0081] After the position adjustment device determines the product of the inertia time constant matrix and the inverse matrix of the stiffness coefficient matrix to obtain the target matrix, it can determine the natural oscillation frequencies of the respective expanders based on the target matrix.
[0082] Optionally, the position adjustment device may determine the eigenvalues of the target matrix, where the eigenvalues may be multiple eigenvalues, and the number of the multiple eigenvalues is the same as the dimension of the inertia time constant matrix. For each expander, based on the eigenvalue corresponding to the expander, the natural oscillation frequency of the expander is determined, and the natural oscillation frequency of the expander is positively correlated with the eigenvalue.
[0083] In an embodiment of the present invention, the position adjustment device may obtain the rated speeds of the components in the shafting device, arrange the multiple speeds in descending order to obtain a first sequence, and arrange the multiple eigenvalues in descending order to obtain a second sequence. Among them, the arrangement position of each speed in the first sequence is the same as the arrangement position of the eigenvalue corresponding to the speed in the second sequence.
[0084] For each expander, the position adjustment device may determine the target eigenvalue in the second sequence as the eigenvalue corresponding to the expander, where the arrangement position of the target eigenvalue in the second sequence is the same as the arrangement position of the rated speed of the expander in the first sequence, thereby determining the eigenvalues of the first expander, the second expander, and the third expander. Among them, the rated speeds of the components may be pre-stored in the position adjustment device.
[0085] Among them, the natural oscillation frequency f of the i-th expander i Satisfies:
[0086]
[0087] λ i Is the eigenvalue corresponding to the i-th expander. When i is 1, f1 is the natural oscillation frequency of the first expander; when i is 2, f2 is the natural oscillation frequency of the second expander; when i is 3, f3 is the natural oscillation frequency of the third expander.
[0088] Step 304: Obtain the disturbance frequencies from each expander and the disturbance frequency from the grid side.
[0089] After determining the natural oscillation frequencies of the expanders based on the target matrix, the position adjustment device may obtain the disturbance frequencies from each expander and the disturbance frequency from the grid side.
[0090] Optionally, a first disturbance monitor is provided on each expander, and a second disturbance monitor is provided on the grid side. The position adjustment device may obtain the disturbance frequency from the expander through the first disturbance monitor on each expander, and obtain the disturbance frequency from the grid side through the second disturbance monitor.
[0091] Step 305: If the difference between the natural oscillation frequency of the target expander in at least one expander and the target disturbance frequency is less than or equal to the difference threshold, adjust the position of each counterweight on the corresponding connection part in the target expander so that the difference is greater than the difference threshold.
[0092] After the position adjustment device obtains the disturbance frequencies from each expander and the disturbance frequency from the grid side, if the difference between the natural oscillation frequency of the target expander in at least one expander and the target disturbance frequency is less than or equal to the difference threshold, the position of each counterweight on the corresponding connection part in the target expander can be adjusted so that the difference is greater than the difference threshold. Among them, the position adjustment device can pre-store the difference threshold.
[0093] In the embodiments of the present invention, the target disturbance frequency can be one or more of the disturbance frequencies of each expander and the disturbance frequency from the grid side. If there are multiple target disturbance frequencies, the position adjustment device can adjust the position of each counterweight on the corresponding connection part in the target expander according to the maximum target disturbance frequency, thereby improving the adjustment efficiency.
[0094] Optionally, the position adjustment device can control each counterweight in the target expander to move away from the fixed part in the direction away from the fixed part so that the difference is greater than the difference threshold.
[0095] It can be understood that when the counterweight in the target expander moves away from the fixed part in the direction away from the fixed part, the moment of inertia of the impeller will increase, and accordingly the moment of inertia of the target expander will increase, and then the corresponding inertia time constant of the target expander will increase, thereby increasing the natural oscillation frequency. Thus, the position adjustment device controls the counterweight in the target expander to move away from the preset position in the direction away from the fixed part until the difference between the natural oscillation frequency of the target expander and the target disturbance frequency is greater than the difference threshold, so that the natural oscillation frequency of the target expander is far from the target disturbance frequency, thereby suppressing the oscillation of the system shafting and ensuring the safe and stable operation of the compressed air energy storage system.
[0096] Figure 4 Schematic diagram of the structure of an inertia adjustment unit provided by an embodiment of the present invention. Refer to Figure 4 , an inertia adjustment unit 40 is provided on each expander. The inertia adjustment unit 40 can include a fixed part 41, a plurality of connection parts 42 ( Figure 4 3 are shown in Figure 4 ), and a plurality of counterweights 43 ( Figure 4 The shaft of the impeller of the expander is not shown in Figure 4 ), the fixed part 41 is sleeved on the shaft of the impeller of the expander (Figure 4 It is not shown in the figure) are connected, and each counterweight 43 is slidably connected to a corresponding connecting portion 42.
[0097] Optionally, the plurality of connecting portions 42 may be evenly arranged along the circumferential direction of the rotating shaft, and the included angle between every two adjacent connecting portions 42 is the same, and the other end of each connecting portion 42 is connected to the wheel body of the impeller.
[0098] The inertia adjustment unit 40 may further include a motor, each motor is respectively connected to a plurality of counterweights 43 and a position adjustment device, and the position adjustment device may simultaneously drive the plurality of counterweights 43 to slide on the corresponding connecting portions 42 through the motor. A guide rail may be provided on each connecting portion 42, and each counterweight 43 may slide along the guide rail.
[0099] If the difference between the natural oscillation frequency and the target disturbance frequency is less than or equal to the difference threshold, the position adjustment device may control the counterweight 43 to move away from the fixed portion 41 so that the difference is greater than the difference threshold.
[0100] In the embodiment of the present invention, before determining the natural oscillation frequency of the target expander, the position adjustment device may construct an axis system model structure diagram of each component according to the structure of the axis system device of the compressed air energy storage system, and determine the formula satisfied by the natural oscillation frequency based on the axis system models of each component. Figure 5 It is a schematic structural diagram of an axis system model of an axis system device component of a compressed air energy storage system provided by an embodiment of the present invention.
[0101] Reference Figure 5 , the moment of inertia J of the i-th component i Satisfies:
[0102]
[0103] Among them, r 0i Is the distance from the mass element of the i-th component to the axis of rotation, this distance is positively correlated with the target distance, and the target distance is the distance between the position where the counterweight is located and the preset position. ρ i Is the material density of the i-th component, m is the mass of the mass element, and V i Is the volume of the i-th component. The position adjustment device may pre-store ρ i And V i Values.
[0104] The damping torque T of the i-th component Di Satisfies:
[0105] T Di = D i (ω i - ω Ni (Formula 2)
[0106] Among them, D i is the damping coefficient of the i-th component. The position adjustment device can pre-store the value of D i . The transmission ratio r of the secondary gear connected to the i-th expander i satisfies:
[0107] θ i = r i θ4 (Formula 3)
[0108] ω i = r i ω4 (Formula 4)
[0109] r i T i = T 4i (Formula 5)
[0110] Among them, θ i is the rotation angle of the secondary gear connected to the i-th expander, θ4 is the rotation angle of the main gear connected to the synchronous generator, ω i is the mechanical angular velocity of the i-th expander, ω4 is the mechanical angular velocity of the synchronous generator, T i is the torque of the secondary gear connected to the i-th expander, and T 4i is the torque transmitted from the secondary gear connected to the i-th expander to the main gear connected to the synchronous generator.
[0111] The input torque T of the gearbox M satisfies:
[0112]
[0113] The moment of inertia J5 of the gearbox satisfies:
[0114] J5 = J4 + r1 2 J1 + r2 2 J2 + r3 2 J3 (Formula 7)
[0115] The transmitted torque T of the rotating shaft corresponding to the i-th component Ki satisfies:
[0116] T Ki = K i (θ i - r i θ5) (Formula 8)
[0117] Among them, Ki is the stiffness coefficient of the rotating shaft corresponding to the i-th component, and θ5 is the rotation angle of the equivalent concentrated mass block of the gearbox.
[0118] Thus, based on the above Formulas 1 to 8, the position adjustment device can determine the shafting model of each component.
[0119] Optionally, the derivative of the rotation angle of the gear connected to the i-th component Satisfies:
[0120]
[0121] Where the * sign is the base capacity S in formula a B The corresponding per-unit value.
[0122] The torque formula of the i-th component satisfies:
[0123]
[0124] Where T mi Is the input torque of the i-th component, and T em Is the braking torque of the synchronous generator.
[0125] The matrix form of the shafting equation of the compressed air energy storage system satisfies:
[0126]
[0127] Where M is the inertia time constant matrix, D is the damping coefficient matrix, K is the stiffness coefficient matrix, θ is the column vector of the rotation angle, T is the column vector of the input torque, and t is the time.
[0128] Ignoring the damping coefficient D in formula 13, the column vector of the rotation angle θ satisfies:
[0129]
[0130] Where A is the column vector of the amplitude.
[0131] Based on formula 13 and formula 14, it can be determined that the inertia time constant matrix M and the stiffness coefficient matrix K satisfy:
[0132] (K - ω 2 M)A = 0 (formula 15)
[0133] Where ω is the angular velocity matrix.
[0134] Based on formula 15, it can be seen that the natural oscillation frequency is related to the inertia time constant matrix M and the stiffness coefficient matrix K. Solving the natural oscillation frequency problem can be converted into solving the eigenvalue problem of the matrix MK -1 That is, solving the eigenvalues of the target matrix P.
[0135] In summary, the embodiment of the present invention provides a method for suppressing shafting oscillation in a compressed air energy storage system. In this method, after the position adjustment device obtains the natural oscillation frequencies of each expander, the disturbance frequencies from each expander, and the disturbance frequency from the grid side, if the difference between the natural oscillation frequency of the target expander in at least one expander and the target disturbance frequency is less than or equal to the difference threshold, the position of each counterweight in the target expander on the corresponding connecting part is adjusted so that the difference is greater than the difference threshold.
[0136] Since the position adjustment device adjusts the position of each counterweight in the target expander on the corresponding connecting part when the difference between the natural oscillation frequency of the target expander and the target disturbance frequency is less than or equal to the difference threshold, changing this natural oscillation frequency so that the difference is greater than the difference threshold. Thus, it is possible to effectively avoid the problem of shafting oscillation caused by resonance due to the proximity of the natural oscillation frequency of the target expander to the target disturbance frequency, realizing the suppression of shafting oscillation, thereby reducing the loss of the target expander, avoiding the occurrence of shafting cracks and fracture accidents, and improving the safety and stability of the system operation.
[0137] The embodiment of the present invention provides a computer-readable storage medium, on which a program for suppressing shafting oscillation in a compressed air energy storage system is stored. When the program for suppressing shafting oscillation in a compressed air energy storage system is executed by a processor, the method for suppressing shafting oscillation in a compressed air energy storage system shown in the above embodiment is realized. For example, Figure 2 or Figure 3 the method for suppressing shafting oscillation in a compressed air energy storage system shown.
[0138] Figure 6 FIG. is a schematic structural diagram of a position adjustment device provided by an embodiment of the present invention. As Figure 6 shown, the position adjustment device 60 may include a memory 601, a processor 602, and a program for suppressing shafting oscillation in a compressed air energy storage system stored on the memory 601 and executable on the processor 602. When the processor 602 executes the program for suppressing shafting oscillation in a compressed air energy storage system, the method for suppressing shafting oscillation in a compressed air energy storage system shown in the above embodiment is realized. For example, Figure 2 or Figure 3 the method for suppressing shafting oscillation in a compressed air energy storage system shown.
[0139] Figure 7It is a block diagram of an oscillation suppression device for the shafting system of a compressed air energy storage system provided by an embodiment of the present invention. This device is applied to the shafting system of a compressed air energy storage system. The shafting system includes at least one expander, and an inertia adjustment unit is provided on each expander. The inertia adjustment unit includes a fixing part, a plurality of connecting parts, and a plurality of counterweight blocks. The fixing part is sleeved on the rotating shaft of the impeller of the expander. The plurality of connecting parts are arranged circumferentially along the rotating shaft. One end of each connecting part is connected to the fixing part, and the other end of each connecting part is connected to the impeller. Each counterweight block is slidably connected to a corresponding connecting part. As Figure 7 shown, the device includes:
[0140] A first acquisition module 701, configured to acquire the natural oscillation frequencies of each expander;
[0141] A second acquisition module 702, configured to acquire the disturbance frequencies acting on each expander;
[0142] An adjustment module 703, configured to, if the difference between the natural oscillation frequency of a target expander in at least one expander and any disturbance frequency is less than or equal to a difference threshold, adjust the positions of each counterweight block on the corresponding connecting part in the target expander.
[0143] Optionally, the shafting system further includes: a gearbox and a synchronous generator. Each expander is connected to a secondary gear of the gearbox through a first rotating shaft, and the synchronous generator is connected to the main gear of the gearbox through a second rotating shaft; the first acquisition module 701 is configured to:
[0144] Acquire an inertia time constant matrix and a stiffness coefficient matrix. The inertia time constant matrix is a diagonal matrix, and multiple diagonal elements of the inertia time constant matrix correspond one by one to multiple components of the shafting system; the stiffness coefficient matrix includes the stiffness coefficients of at least one first rotating shaft, the stiffness coefficient of the second rotating shaft, and the transmission ratios of each secondary gear;
[0145] Determine the product of the inertia time constant matrix and the inverse matrix of the stiffness coefficient matrix to obtain a target matrix;
[0146] Based on the target matrix, determine the natural oscillation frequencies of each expander.
[0147] Optionally, the first acquisition module 701 is configured to:
[0148] Determine the eigenvalues of the target matrix;
[0149] For each expander, based on the eigenvalue corresponding to the expander, determine the natural oscillation frequency of the expander, and the natural oscillation frequency of the expander is positively correlated with the eigenvalue.
[0150] In some embodiments of the present invention, the first acquisition module 701 is configured to
[0151] Obtain the rated speed of each component in the shafting device;
[0152] Arrange the multiple rated speeds in descending order to obtain the first sequence, and arrange the multiple characteristic values in descending order to obtain the second sequence;
[0153] For each expander, determine the target characteristic value in the second sequence as the characteristic value corresponding to the expander;
[0154] Wherein, the arrangement position of the target characteristic value in the second sequence is the same as the arrangement position of the rated speed of the expander in the first sequence.
[0155] Optionally, the first acquisition module 701 is used for:
[0156] For each component in the shafting device, obtain the moment of inertia and speed of the component. Wherein, if the component is an expander, the speed is the rated angular velocity; if the component is a gearbox or a synchronous generator, the speed is the rotational speed;
[0157] Obtain the reference capacity of the shafting device;
[0158] Determine the ratio of the square of the speed to the reference capacity;
[0159] Determine the product of the ratio and the moment of inertia as the diagonal element corresponding to the component.
[0160] Optionally, at least one expander includes a first expander, a second expander and a third expander; the stiffness coefficient matrix K satisfies:
[0161]
[0162] Wherein, K1 is the stiffness coefficient of the first rotating shaft corresponding to the first expander, K2 is the stiffness coefficient of the first rotating shaft corresponding to the second expander, K3 is the stiffness coefficient of the first rotating shaft corresponding to the third expander, K4 is the stiffness coefficient of the second rotating shaft, K5 is equal to K4, r1 is the transmission ratio of the secondary gear connected to the first expander, r2 is the transmission ratio of the secondary gear connected to the second expander, and r3 is the transmission ratio of the secondary gear connected to the third expander.
[0163] Optionally, there are multiple target disturbance frequencies, and the adjustment module 703 is used for:
[0164] According to the maximum target disturbance frequency, adjust the position of each counterweight on the corresponding connecting part in the target expander.
[0165] Optionally, a first disturbance monitor is arranged on each expander, and a second disturbance monitor is arranged on the grid side. The second acquisition module 702 is used for:
[0166] Obtain the disturbance frequency from the expander through the first disturbance monitor on each expander;
[0167] Obtain the disturbance frequency from the grid side through the second disturbance monitor.
[0168] Optionally, the first acquisition module 701 is used for:
[0169] When each counterweight is located at the preset position of the corresponding connecting part, obtain the natural oscillation frequency of each expander;
[0170] Adjust the position of each counterweight on the corresponding connecting part in the target expander, including:
[0171] Control each counterweight in the target expander to move away from the fixed part from the preset position.
[0172] Optionally, the preset position is the central position of the connecting part.
[0173] In summary, the embodiment of the present invention provides a device for suppressing shaft system oscillation of a compressed air energy storage system. In this device, after the position adjustment device obtains the natural oscillation frequency of each expander, the disturbance frequency from each expander, and the disturbance frequency from the grid side, if the difference between the natural oscillation frequency and the target disturbance frequency of the target expander in at least one expander is less than or equal to the difference threshold, then adjust the position of each counterweight on the corresponding connecting part in the target expander so that the difference is greater than the difference threshold.
[0174] Since the position adjustment device adjusts the position of each counterweight on the corresponding connecting part in the target expander when the difference between the natural oscillation frequency and the target disturbance frequency of the target expander is less than or equal to the difference threshold, so as to change the natural oscillation frequency of the target expander and make the difference greater than the difference threshold. Thus, it can effectively avoid the problem of shaft system oscillation caused by resonance due to the proximity of the natural oscillation frequency and the target disturbance frequency of the target expander, realize the suppression of shaft system oscillation, thereby reducing the loss of the target expander, avoiding the occurrence of shaft system crack and fracture accidents, and improving the safety and stability of system operation.
[0175] It should be noted that the logic and / or steps represented in the flowchart or described otherwise herein, for example, can be considered as a definite sequence list of executable instructions for implementing logical functions, and can be specifically implemented in any computer-readable medium for use by an instruction execution system, apparatus, or device (such as a computer-based system, a system including a processor, or other systems that can fetch instructions from the instruction execution system, apparatus, or device and execute the instructions), or in combination with these instruction execution systems, apparatuses, or devices. For the purposes of this specification, a "computer-readable medium" can be any device that can contain, store, communicate, propagate, or transport a program for use by or in connection with an instruction execution system, apparatus, or device. More specific examples (a non-exhaustive list) of the computer-readable medium include the following: an electrical connection portion having one or more wirings (electronic device), a portable computer diskette (magnetic device), a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber device, and a portable compact disc read-only memory (CDROM). Additionally, the computer-readable medium can even be paper or other suitable medium on which the program can be printed, because the program can be obtained electronically, for example, by optically scanning the paper or other medium, followed by editing, deciphering, or otherwise processing as appropriate, and then storing it in a computer memory.
[0176] It should be understood that various parts of the present invention can be implemented by hardware, software, firmware, or a combination thereof. In the above-described embodiments, multiple steps or methods can be implemented by software or firmware stored in a memory and executed by a suitable instruction execution system. For example, if implemented by hardware, as in another embodiment, any one or a combination of the following techniques well known in the art can be used: discrete logic circuits having logic gate circuits for implementing logical functions on data signals, application specific integrated circuits having appropriate combinational logic gate circuits, programmable gate arrays (PGAs), field programmable gate arrays (FPGAs), etc.
[0177] In the description of this specification, the description with reference to the terms "one embodiment", "some embodiments", "example", "specific example", or "some examples", etc. means that the specific features, structures, materials, or characteristics described in connection with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic representations of the above terms do not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials, or characteristics described can be combined in any one or more embodiments or examples in a suitable manner.
[0178] In the description of the present invention, it should be understood that the orientation or positional relationship indicated by the terms "center", "longitudinal", "transverse", "length", "width", "thickness", "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", "clockwise", "counterclockwise", "axial", "radial", "circumferential", etc. is based on the orientation or positional relationship shown in the drawings, and is only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus should not be construed as a limitation to the present invention.
[0179] In addition, the terms "first", "second", etc. used in the embodiments of the present invention are only for descriptive purposes and should not be construed as indicating or implying relative importance or implicitly specifying the quantity of the technical features indicated in this embodiment. Thus, the features defined with the terms "first", "second", etc. in the embodiments of the present invention may explicitly or implicitly indicate that at least one such feature is included in this embodiment. In the description of the present invention, the meaning of the word "plurality" is at least two or more than two, such as two, three, four, etc., unless otherwise explicitly and specifically defined in the embodiment.
[0180] In the present invention, unless otherwise explicitly specified or limited in the embodiments, the terms "mounted", "connected", "connected with" and "fixed" etc. appearing in the embodiments should be understood in a broad sense. For example, the connection can be a fixed connection, a detachable connection, or integrated. It can be understood that it can also be a mechanical connection, an electrical connection, etc.; of course, it can also be directly connected, or indirectly connected through an intermediate medium, or it can be the communication inside two elements, or the interaction relationship between two elements. For those of ordinary skill in the art, the specific meanings of the above terms in the present invention can be understood according to the specific implementation situations.
[0181] In the present invention, unless otherwise explicitly specified and limited, the first feature being "on" or "under" the second feature may be that the first and second features are in direct contact, or the first and second features are in indirect contact through an intermediate medium. Moreover, the first feature being "above", "over" and "on top of" the second feature may be that the first feature is directly above or obliquely above the second feature, or merely indicates that the first feature has a higher horizontal height than the second feature. The first feature being "under", "beneath" and "underneath" the second feature may be that the first feature is directly below or obliquely below the second feature, or merely indicates that the first feature has a lower horizontal height than the second feature.
[0182] Although the embodiments of the present invention have been shown and described above, it can be understood that the above embodiments are exemplary and should not be construed as limiting the present invention. Those of ordinary skill in the art can make changes, modifications, substitutions, and variations to the above embodiments within the scope of the present invention.
Claims
1. A method for suppressing shaft system oscillation in a compressed air energy storage system, characterized in that, A shafting device applied to a compressed air energy storage system. The shafting device includes at least one expander, and an inertia regulation unit is arranged on each expander. The inertia regulation unit includes a fixing part, a plurality of connecting parts and a plurality of counterweight blocks. The fixing part is sleeved on the rotating shaft of the impeller of the expander. The plurality of connecting parts are arranged circumferentially along the rotating shaft. One end of each connecting part is connected to the fixing part, and the other end of each connecting part is connected to the impeller. Each counterweight block is slidably connected to a corresponding connecting part; The method includes: Obtain the natural oscillation frequencies of each of the expanders; Obtain the disturbance frequencies from each of the expanders and the disturbance frequencies from the grid side; If the difference between the natural oscillation frequency of the target expander in the at least one expander and the target disturbance frequency is less than or equal to a difference threshold, adjust the position of each counterweight block on the corresponding connecting part in the target expander so that the difference is greater than the difference threshold. The target disturbance frequency is one or more of the disturbance frequencies from each of the expanders and the disturbance frequencies from the grid side; Wherein, the shafting device further includes: a gearbox and a synchronous generator. Each expander is connected to a secondary gear of the gearbox through a first rotating shaft, and the synchronous generator is connected to the main gear of the gearbox through a second rotating shaft; The obtaining of the natural oscillation frequencies of each of the expanders includes: Obtain an inertia time constant matrix and a stiffness coefficient matrix. The inertia time constant matrix is a diagonal matrix, and the multiple diagonal elements of the inertia time constant matrix correspond one by one to the multiple components of the shafting device; The stiffness coefficient matrix includes the stiffness coefficients of at least one of the first rotating shafts, the stiffness coefficient of the second rotating shaft, and the transmission ratio of each secondary gear; Determine the product of the inertia time constant matrix and the inverse matrix of the stiffness coefficient matrix to obtain a target matrix; Based on the target matrix, determine the natural oscillation frequencies of each of the expanders; The determining of the natural oscillation frequencies of each of the expanders based on the target matrix includes: determining the eigenvalues of the target matrix; For each expander, based on the eigenvalue corresponding to the expander, determine the natural oscillation frequency of the expander, and the natural oscillation frequency of the expander is positively correlated with the eigenvalue; The method further includes: obtaining the rated speeds of each component in the shafting device; Sorting the multiple rated speeds in descending order to obtain a first sequence, and sorting the multiple eigenvalues in descending order to obtain a second sequence; For each expander, determine the target eigenvalue in the second sequence as the eigenvalue corresponding to the expander; Wherein, the arrangement position of the target eigenvalue in the second sequence is the same as the arrangement position of the rated speed of the expander in the first sequence; The obtaining of the inertia time constant matrix includes: for each component in the shafting device, obtaining the moment of inertia and speed of the component, wherein if the component is the expander, the speed is the rated angular velocity, and if the component is the gearbox or the synchronous generator, the speed is the rotational speed; obtaining the base capacity of the shafting device; determining the ratio of the square of the speed to the base capacity; and determining the product of the ratio and the moment of inertia as the diagonal element corresponding to the component.
2. The method according to claim 1, characterized in that, The at least one expander includes a first expander, a second expander, and a third expander; the stiffness coefficient matrix K satisfies: wherein, K1 is the stiffness coefficient of the first rotating shaft corresponding to the first expander, K2 is the stiffness coefficient of the first rotating shaft corresponding to the second expander, K3 is the stiffness coefficient of the first rotating shaft corresponding to the third expander, K4 is the stiffness coefficient of the second rotating shaft, K5 is equal to K4, r1 is the transmission ratio of the auxiliary gear connected to the first expander, r2 is the transmission ratio of the auxiliary gear connected to the second expander, and r3 is the transmission ratio of the auxiliary gear connected to the third expander.
3. The method according to claim 1 or 2, characterized in that, There are multiple target disturbance frequencies; adjusting the position of each counterweight on the corresponding connection part of the target expander includes: Adjusting the position of each counterweight on the corresponding connection part of the target expander according to the maximum target disturbance frequency.
4. The method according to claim 1 or 2, characterized in that, Each expander is provided with a first disturbance monitor, and the grid side is provided with a second disturbance monitor; the obtaining of the disturbance frequencies from each expander and the disturbance frequency from the grid side includes: Obtaining the disturbance frequency from the expander through the first disturbance monitor on each expander; Obtaining the disturbance frequency from the grid side through the second disturbance monitor.
5. The method according to claim 1 or 2, characterized in that, The obtaining of the natural oscillation frequencies of each expander includes: Obtaining the natural oscillation frequencies of each expander when each counterweight is at the preset position on the corresponding connection part; Adjusting the position of each counterweight on the corresponding connection part of the target expander includes: Controlling each counterweight in the target expander to move away from the fixed part from the preset position.
6. The method according to claim 5, characterized in that, The preset position is the central position of the connection part.
Citation Information
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