A controllable phase shifter optimization control method and system based on sensitivity factor

Abstract

The application discloses a controllable phase shifter optimization control method and system based on sensitivity factors, and belongs to the technical field of power grid operation optimization. The method comprises the following steps: firstly, based on a direct current power flow algorithm of a power grid, sensitivity factors of controllable phase shifters on the influence of transmission power of key lines are derived; secondly, based on the sensitivity factors of the controllable phase shifters, a controllable phase shifter control optimization model with the balanced key line load rate as the target is constructed, and a linear least square method is adopted to calculate, so that a final controllable phase shifter control scheme is obtained. Compared with a traditional method, the method has lower calculation complexity under the condition of ensuring the control effect, and is helpful to realize power grid operation optimization based on the controllable phase shifter.

Description

Technical Field

[0001] The present invention relates to a controllable phase shifter optimization control method, specifically, to a controllable phase shifter optimization control method and system based on a sensitivity factor. Background Technology

[0002] With the integration of new energy sources and energy storage into the power grid, the grid faces more severe risks such as power flow exceeding limits and power overload. Power control of critical lines in the grid has become a key issue. In recent years, controllable phase shifters have attracted widespread attention due to their excellent power control capabilities. However, how to fully utilize the power regulation capabilities of controllable phase shifters in grid operation has become a crucial question.

[0003] Research on control methods for controllable phase shifters in power grids mainly adopts simulation-based analysis. However, the calculation process is often very complex, requiring repeated iterations and has low timeliness. The main challenge is that when controllable phase shifters are applied in power grids, it is difficult to establish a direct correlation between the controllable phase shifter control variables and the power grid operating state. Therefore, it is of great significance to establish a direct correlation between the controllable phase shifter control variables and the power grid operating state. Summary of the Invention

[0004] The purpose of this invention is to provide a controllable phase shifter optimization control method and system based on sensitivity factor, which establishes a direct correlation between the controllable phase shifter control variables and the power grid operating state, and reduces computational complexity while ensuring control effect, thus helping to achieve power grid operation optimization based on controllable phase shifters.

[0005] The technical solution to achieve the purpose of this invention is as follows:

[0006] A controllable phase shifter optimization control method based on sensitivity factor includes the following steps:

[0007] Step 1: Identify the critical lines in the power grid;

[0008] Step 2: Determine the installation route for the controllable phase shifter in the power grid;

[0009] Step 3: Establish a sensitivity factor calculation model for the influence of the controllable phase shifter on the power of the transmission line section;

[0010] Step 4: Based on the sensitivity factor, construct a controllable phase shifter control mathematical model with the objective of balancing the load rate of the critical line.

[0011] Step 5: Solve and calculate the control mathematical model of the controllable phase shifter, determine the control scheme of the controllable phase shifter, and carry out the grid operation control of the controllable phase shifter.

[0012] Furthermore, the specific steps for establishing a sensitivity factor calculation model for the impact of controllable phase shifters on the power of transmission lines include:

[0013] Critical lines in a power grid are determined using the following formula:

[0014]

[0015] Among them, L line This is the critical path marker; 1 indicates the path is critical, and 0 indicates a non-critical path. P line and S line These are the transmission power and the line's rated power, respectively.

[0016] The installation route for a controllable phase shifter in a power grid is determined by the following formula:

[0017]

[0018] Among them, L set This is a marking for the installation circuit of a controllable phase shifter. 1 indicates that the circuit is for a controllable phase shifter, and 0 indicates that the circuit is not for a controllable phase shifter. ΔU loss and U N These represent the voltage drop on the line and the line's rated voltage, respectively.

[0019] For scenarios where a controllable phase shifter is connected in series on a line, when the controllable phase shifter is installed on the line between node i and node j, the calculation model for the power control sensitivity factor of line ij and any other line pq in the system other than line ij is as follows. and for:

[0020]

[0021] Among them, y ij and y pq Let (i,j) and (p,q) be the elements (i,j) and (p,q) in the power grid admittance matrix Y, where p≠i and q≠j, and are determined by the power grid structure and line parameters. ij k ii k jj k pj k pi k qi and k qj These are the inverse matrices of the power grid admittance matrix, K = Y. -1 The elements in the array are (i,j), (i,i), (j,j), (p,j), (p,i), (q,i) and (q,j).

[0022] Furthermore, when the number of controllable phase shifters in the power grid is m and the number of critical lines is l, the mathematical model for controlling the controllable phase shifters is:

[0023]

[0024] Where Z is the sensitivity factor and The sensitivity matrix formed has dimensions l×m, P t P0 represents the control target value vector of the critical path power and the power vector under the initial operating state, with a dimension of l×1. The power control target value p of the critical path h is... h,t ∈P t Δα is the control angle of the controllable phase shifter.

[0025] Furthermore, the power control target value p h,t for:

[0026]

[0027] Where, p r,0 S represents the transmission power of the critical path r in the initial operating mode. h and S r These are the rated capacities of the critical paths h and r, respectively.

[0028] Furthermore, the controllable phase shifter control mathematical model is solved and calculated using the least squares method.

[0029] A controllable phase shifter optimization control system based on sensitivity factor, comprising:

[0030] The sensitivity factor calculation unit calculates the sensitivity factor of the controllable phase shifter's influence on the power of the transmission line section by establishing a sensitivity factor calculation model;

[0031] The controllable phase shifter control mathematical model construction unit, based on the sensitivity factor, constructs a controllable phase shifter control mathematical model with the objective of balancing the load rate of the critical line;

[0032] The control scheme determination unit solves and calculates the control mathematical model of the controllable phase shifter to determine the control scheme of the controllable phase shifter.

[0033] A controllable phase shifter optimization control device includes: a memory, a processor, and a computer program stored in the memory, wherein the processor executes the computer program to implement the steps of the controllable phase shifter optimization control method.

[0034] A computer storage medium storing an executable program, the executable program being executed by a processor to implement the steps of the controllable phase shifter optimization control method.

[0035] Compared with the prior art, the beneficial effects of the present invention are as follows:

[0036] (1) This invention proposes for the first time a sensitivity factor calculation method that can reflect the influence of controllable phase shifters on line power, which can directly establish the correlation between controllable phase shifters and line power;

[0037] (2) The present invention establishes a controllable phase shifter control optimization mathematical model with the goal of balancing the load rate of the critical line. This model can be calculated using the least squares method, avoiding the complex simulation calculation process. The calculation process is simple and fast, thereby improving the ease of calculation and timeliness. Attached Figure Description

[0038] Figure 1 This is a flowchart of the optimized control method proposed in this invention.

[0039] Figure 2 This is a diagram of the New England 39-node system architecture. Detailed Implementation

[0040] The present invention will now be described in further detail with reference to the accompanying drawings and embodiments. However, the present invention is not limited to the examples given.

[0041] This invention aims to establish a direct correlation between the controllable phase shifter's control variables and the power grid's operating state. From the perspective of correlation sensitivity, it establishes a mapping relationship between the controllable phase shifter and the power grid's operating state, thereby building a corresponding optimization model. This avoids complex simulation calculations, thus improving the simplicity and timeliness of the calculations. Combined with... Figure 1 The present invention proposes an optimized control method for a controllable phase shifter based on a sensitivity factor, which specifically includes the following steps:

[0042] (1) The critical path in the power grid is determined by the following formula;

[0043]

[0044] Among them, L line This is the critical path marker; 1 indicates that the path is critical, and 0 indicates that the path is non-critical. line and S line These are the transmission power and the line's rated power, respectively.

[0045] (2) The installation route of the controllable phase shifter in the power grid is determined by the following formula:

[0046]

[0047] Among them, L setThis is a controllable phase shifter installation line marking; 1 indicates that the line is a controllable phase shifter installation line, and 0 indicates that the line is not a controllable phase shifter installation line; ΔU loss and U N These represent the voltage drop on the line and the line's rated voltage, respectively.

[0048] (3) Based on the DC power flow algorithm of the power grid, the sensitivity factor of the controllable phase shifter on the transmission power of the critical line is derived.

[0049] In a scenario where a controllable phase shifter is connected in series to a line, the controllable phase shifter can control and adjust the power angle change at both ends of the line by α. When the controllable phase shifter is installed on the line between node i and node j, the power control sensitivity factor of line ij and line pq (any line other than line ij) is... and Calculate using the following formula:

[0050]

[0051] Among them, y ij and y pq The elements (i,j) and (p,q) in the power grid admittance matrix Y are determined by the power grid structure and line parameters. ij k ii k jj k pj k pi k qi and k qj These are the inverse matrices of the power grid admittance matrix, K = Y. -1 The elements in the array are (i,j), (i,i), (j,j), (p,j), (p,i), (q,i) and (q,j).

[0052] (4) Based on the sensitivity factor of the controllable phase shifter, construct a mathematical model for the controllable phase shifter control optimization with the goal of balancing the load rate of the critical line.

[0053] When the number of controllable phase shifters in the power grid is m and the number of critical lines is l, the control variable is the control angle Δα of the controllable phase shifters, and the control objective is to minimize the difference between the transmission power of the critical lines and the target value. Its mathematical model has the following form:

[0054]

[0055] Where Z is the sensitivity factor and The resulting sensitivity matrix has dimensions l×m. P t P0 represents the control target value vector of the critical path power and the power vector under the initial operating state, with a dimension of l×1.

[0056] In the above mathematical model, the power control target value p of the critical path i is... i,t ∈P t It can be set using the following formula:

[0057]

[0058] Where, p i,t For the control objective of the transmission power of critical path i, p j,0 S represents the transmission power of critical path j in the initial operating mode. i and S j These are the rated capacities of critical paths i and j, respectively.

[0059] (5) The final mathematical model is solved by the least squares method to formulate the control scheme of the controllable phase shifter.

[0060] A controllable phase shifter optimization control system based on sensitivity factor, comprising:

[0061] The sensitivity factor calculation unit calculates the sensitivity factor of the controllable phase shifter's influence on the power of the transmission line section by establishing a sensitivity factor calculation model;

[0062] The controllable phase shifter control mathematical model construction unit, based on the sensitivity factor, constructs a controllable phase shifter control mathematical model with the objective of balancing the load rate of the critical line;

[0063] The control scheme determination unit solves and calculates the control mathematical model of the controllable phase shifter to determine the control scheme of the controllable phase shifter.

[0064] A controllable phase shifter optimization control device includes: a memory, a processor, and a computer program stored in the memory. The processor executes the computer program to implement the steps of the controllable phase shifter optimization control method. The memory may include a readable medium in the form of volatile memory, such as random access memory (RAM) and / or cache memory, and may further include read-only memory (ROM). The memory may also include a program tool having a set (at least one) of program modules, including but not limited to: an operating subsystem, one or more application programs, other program modules, and program data. Each or some combination of these examples may include an implementation of a network environment.

[0065] A computer storage medium stores an executable program, which is executed by a processor to implement the steps of the controllable phase shifter optimization control method. Specifically, the executable program can be built into a controllable phase shifter optimization control device, so that the controllable phase shifter optimization control device can implement the steps of the controllable phase shifter optimization control method of various exemplary embodiments of the present invention by executing the built-in executable program.

[0066] Compared with traditional methods, this invention has lower computational complexity while ensuring control effectiveness, which helps to optimize power grid operation based on controllable phase shifters.

[0067] Example

[0068] Taking the standard New England 39-node system as an example, such as Figure 2 As shown, based on the system operation data, the installation locations of the controllable phase shifters are calculated to be lines 4-14 and 17-18, while the critical lines of the system are lines 14-15, 17-18, and 25-26. Based on the basic line parameters of the New England 39-node system, the sensitivity factor matrix can be calculated as follows:

[0069] Table 1 Summary of Control Sensitivity Factors for Controllable Phase Shifters

[0070]

[0071]

[0072] Furthermore, based on the basic power flow data and calculated sensitivity factor values ​​of the New England 39-bus system, the correlation between the transmission power of the critical line and the controllable phase shifter control variables can be expressed by the following formula:

[0073] P L1 =0.1729+2.8298·α1+4.1834·α2

[0074] P L2 =1.3624+1.1230·α1+8.1499·α2

[0075] P L3 =0.0987-1.3311·α1+3.9665·α2

[0076] Among them, the controllable phase shifter control variable is radians (rad); the critical line transmission power is per unit value (pu).

[0077] Based on power flow data from the New England 39-node system, assuming the rated capacities of lines 14-15, 17-18, and 25-26 are 1.5 PU, 2.8 PU, and 0.4 PU, respectively, and the load rates of lines 14-15, 17-18, and 25-26 are 11.52%, 48.66%, and 24.67%, respectively, to ensure the same load rate for the three critical lines, the control targets for the transmission power of lines 14-15, 17-18, and 25-26 are 0.525 PU, 0.98 PU, and 0.14 PU, respectively. Using the least squares method to calculate the proposed mathematical model, the adjustment angles of controllable phase shifter 1 and controllable phase shifter 2 are 0.087 rad and -0.0286 rad, respectively. The load rates of the critical lines before and after controllable phase shifter control are shown in the table below.

[0078] Table 2 Critical Line Power Flow Rates Before and After Controllable Phase Shifter Control (Table 2: Power Flow Load Rates of Critical Lines Before and After Controllable Phase Shifter Control)

[0079] Critical path load rate Line 14-15 Line 17-18 Lines 25-26 Basic operating mode 11.52％ 48.66％ 24.67％ After optimized control of the controllable phase shifter 20.00％ 43.82％ 32.5％

[0080] As can be seen from the table, after optimization by the controllable phase shifter, although the load rate of the critical line cannot be completely consistent with the target setting due to the limitations of the power grid structure and operation mode, the power flow difference of the critical line is significantly reduced, demonstrating the effectiveness of the proposed method.

[0081] Although preferred embodiments of the invention have been described, those skilled in the art, upon learning the basic inventive concept, can make other changes and modifications to these embodiments. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments as well as all changes and modifications falling within the scope of the invention.

[0082] Obviously, those skilled in the art can make various modifications and variations to the embodiments of the present invention without departing from the spirit and scope of the embodiments of the present invention. Therefore, if these modifications and variations to the embodiments of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention also intends to include these modifications and variations.

Claims

1. A controllable phase shifter optimization control method based on sensitivity factor, characterized in that, Including the following steps: Step 1: Identify the critical lines in the power grid; Step 2: Determine the installation route for the controllable phase shifter in the power grid; Step 3: Establish a sensitivity factor calculation model for the influence of the controllable phase shifter on the power of the transmission line section; The specific steps for establishing a sensitivity factor calculation model for the impact of controllable phase shifters on the power of transmission lines include: For scenarios where a controllable phase shifter is connected in series on a line, when the controllable phase shifter is installed on the line between node i and node j, the calculation model for the power control sensitivity factor of line ij and any other line pq in the system other than line ij is as follows. and for: Among them, y ij and y pq Let (i,j) and (p,q) be the elements (i,j) and (p,q) in the power grid admittance matrix Y, where p≠i and q≠j, and are determined by the power grid structure and line parameters. ij k ii k jj k pj k pi k qi and k qj These are the inverse matrices of the power grid admittance matrix, K = Y. -1 The elements (i,j), (i,i), (j,j), (p,j), (p,i), (q,i) and (q,j) in the array; When the number of controllable phase shifters in the power grid is m and the number of critical lines is l, the mathematical model for controlling the controllable phase shifters is: Where Z is the sensitivity factor and The sensitivity matrix formed has dimensions l×m, P t P0 represents the control target value vector of the critical path power and the power vector under the initial operating state, with a dimension of l×1. The power control target value p of the critical path h is... h,t ∈P t Δα is the control angle of the controllable phase shifter; The power control target value p h,t for: Where, p r,0 S represents the transmission power of the critical path r in the initial operating mode. h and S r These are the rated capacities of the critical paths h and r, respectively; Step 4: Based on the sensitivity factor, construct a controllable phase shifter control mathematical model with the objective of balancing the load rate of the critical line. Step 5: Solve the mathematical model of the controllable phase shifter, determine the control scheme of the controllable phase shifter, and optimize the grid operation of the controllable phase shifter.

2. The controllable phase shifter optimization control method based on sensitivity factor according to claim 1, characterized in that, The installation route for a controllable phase shifter in a power grid is determined by the following formula: Among them, L set This is a controllable phase shifter installation line marking; 1 indicates that the line is a controllable phase shifter installation line, and 0 indicates that the line is not a controllable phase shifter installation line; ΔU loss and U N These represent the voltage drop on the line and the line's rated voltage, respectively.

3. The controllable phase shifter optimization control method based on sensitivity factor according to claim 1, characterized in that, The controllable phase shifter control mathematical model is solved and calculated using the least squares method.

4. A controllable phase shifter optimization control system based on sensitivity factor for implementing the method of any one of claims 1-3, characterized in that, include: The sensitivity factor calculation unit calculates the sensitivity factor of the controllable phase shifter's influence on the power of the transmission line section by establishing a sensitivity factor calculation model; The controllable phase shifter control mathematical model construction unit, based on the sensitivity factor, constructs a controllable phase shifter control mathematical model with the objective of balancing the load rate of the critical line; The control scheme determination unit solves and calculates the control mathematical model of the controllable phase shifter to determine the control scheme of the controllable phase shifter.

5. A controllable phase shifter optimization control device, characterized in that, include: A memory, a processor, and a computer program stored in the memory, wherein the processor executes the computer program to implement the steps of the controllable phase shifter optimization control method according to any one of claims 1-3.

6. A computer storage medium, characterized in that, The computer storage medium stores an executable program, which is executed by a processor to implement the steps of the controllable phase shifter optimization control method according to any one of claims 1-3.

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