CN110365021B - Ring-containing distribution network load flow calculation method - Google Patents

Ring-containing distribution network load flow calculation method Download PDF

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CN110365021B
CN110365021B CN201910587648.6A CN201910587648A CN110365021B CN 110365021 B CN110365021 B CN 110365021B CN 201910587648 A CN201910587648 A CN 201910587648A CN 110365021 B CN110365021 B CN 110365021B
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艾精文
张华赢
汪清
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Shenzhen Power Supply Bureau Co Ltd
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    • G06—COMPUTING; CALCULATING OR COUNTING
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    • G06F30/36—Circuit design at the analogue level
    • G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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Abstract

The application provides a load flow calculation method for a distribution network with a ring, which is characterized in that a load model in a series connection form of a voltage source and an impedance is established, and a mathematical model of a line is established to form an original network model. The establishment of the original network model provides a basis for successively completing the power flow distribution of the distribution network with the ring through kirchhoff current law. The method for calculating the power flow of the distribution network with the ring comprises the steps of solving the node voltage value of each loop turning node through star network transformation, and obtaining the power flow distribution of the whole distribution network with the ring by using the node voltage value of each loop turning node. The method and the device adopt a combination mode of the constant impedance model and the constant current model, and improve the accuracy of the power flow calculation of the distribution network with the loop.

Description

Ring-containing distribution network load flow calculation method
Technical Field
The application relates to the field of power information, in particular to a power flow calculation method for a distribution network with a ring.
Background
The voltage grade of the power distribution network is lower than that of the power transmission network, the power distribution network directly distributes power to users, and the power distribution network is designed and used according to the principles of closed-loop design and open-loop operation, so that part of the interconnection switches are in an open-close state during normal operation. With the improvement of the requirement of power supply reliability of power equipment in the development of society, the possibility of loop-containing operation is gradually increased. When the power distribution network is reconstructed, in order to reduce the influence on users, the operation mode needs to be changed by adopting a strategy of 'closed loop first and then open loop' to achieve the purpose of optimizing control, and the condition of short-time operation of the weak looped network can occur. Therefore, the necessity and the significance of load flow calculation of the weak ring distribution network are increasingly highlighted.
Load flow calculations are the most widely, basic and important electrical calculations in electrical power systems. The task of load flow calculation is to calculate the load flow analysis of the whole network according to the given network structure and operation conditions. The result of the load flow calculation is essential for the analysis and research of the existing system operation mode and the analysis and comparison of the planning stage design scheme. The static stability calculation and the transient stability calculation of the power system also need to utilize the result of the load flow calculation.
The traditional method for load flow calculation application of the distribution network with the ring comprises a current compensation method and an improved Newton-Raphson method, which need to be realized through iteration, so that the calculation performance is limited by convergence performance. Meanwhile, in the traditional method, the load is regarded as a constant power model, and when voltage deviation is large at more nodes, the accuracy of load flow calculation of the distribution network with the ring is difficult to guarantee.
Disclosure of Invention
Therefore, it is necessary to provide a power flow calculation method for a distribution network with a ring aiming at the problem that the traditional power flow calculation method for the distribution network with the ring is low in accuracy.
A power flow calculation method for a distribution network with a ring comprises the following steps:
s10, establishing a load model in the form of series connection of a voltage source and impedance according to load power data in the distribution network with the ring, establishing a mathematical model of a line according to the length and unit impedance of the line in the distribution network with the ring, wherein the load model and the mathematical model of the line form an original ring network model;
s20, selecting a plurality of loop turning nodes from the original ring network model, and converting the original ring network model into a second equivalent ring network model through star network conversion, wherein each loop turning node in the second equivalent ring network model is connected with a branch;
s30, obtaining a node voltage value of each loop turning node in the second equivalent looped network model by using a kirchhoff current law;
and S40, obtaining the power flow distribution of the whole distribution network containing the ring by using the node voltage value of each loop turning node.
In one embodiment, the step of modeling the load in the form of a series connection of a voltage source and an impedance includes:
according to the power of the load, the ratio of the active power of the constant current component to the active power of the constant impedance component is set as apAnd aqThe ratio of reactive power is bpAnd bqFurther establishing a load model in the form that the current source is connected with the impedance in parallel;
and establishing a load model in a mode of connecting the current source and the impedance in parallel, and converting the load model into a load model in a mode of connecting the voltage source and the impedance in series.
In one embodiment, the load model in the form of the current source in parallel with the impedance is:
Figure BDA0002115015110000031
wherein R isLIs a transverse resistance component parameter in the load model; xLIs a transverse reactance component parameter in the load model; i isLxIs the component of the transverse current component in the load model on the x-axis; i isLyIs the component of the transverse current component in the load model on the y-axis; delta is the phase angle of the voltage.
In one embodiment, the S20, selecting a plurality of loop turning nodes from the original ring network model, and converting the original ring network model into a second equivalent ring network model through star network conversion, where the step of connecting each loop turning node in the second equivalent ring network model to a branch includes:
selecting a plurality of loop turning nodes from the original ring network model;
performing star network transformation on branches connected with other loop nodes except the loop turning node in the original ring network model to obtain a first equivalent ring network model;
and respectively carrying out series-parallel connection equivalence on the branch connected with each loop turning node in the first equivalent ring network model so as to obtain the second equivalent ring network model.
In one embodiment, when the number of the loop turning nodes is four, four KCL equations are obtained by using kirchhoff's current law, and the node voltage of each loop turning node in the second equivalent looped network model is obtained according to the four KCL equations.
In one embodiment, the step S40 of obtaining the power flow distribution of the entire distribution network including the loop by using the node voltage value of each loop turning node includes:
disconnecting the original ring network model from each loop turning node to form a plurality of networks to be solved;
equivalently connecting the disconnected part of each network to be solved with a voltage source by using the node voltage value of each loop turning node;
and solving the current of each branch in each network to be solved by using ohm law.
In one embodiment, the mathematical model of the length and unit impedance of the line in the distribution network with the ring is as follows:
Zl＝l×(r0+jx0)
wherein Z islIs the total impedance of a section of line; l is the length of a section of line; r is0+jx0Is the impedance of the line per unit length.
In one embodiment, the method for calculating the power flow of the distribution network with the ring is used for single-phase power flow calculation or three-phase power flow calculation.
A computer device comprising a memory, a processor and a computer program stored on the memory and running on the processor, the processor implementing the steps of the method of any of the above embodiments when executing the computer program.
A computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the steps of the method of any of the preceding embodiments.
According to the load flow calculation method of the distribution network with the ring, a load model in the form of series connection of a voltage source and impedance is established, and a mathematical model of a line is established to form an original network model. The establishment of the original network model provides a basis for successively completing the power flow distribution of the distribution network with the ring through kirchhoff current law. The method for calculating the power flow of the distribution network with the ring comprises the steps of solving the node voltage value of each loop turning node through star network transformation, and obtaining the power flow distribution of the whole distribution network with the ring by using the node voltage value of each loop turning node. The method and the device adopt a combination mode of the constant impedance model and the constant current model, and improve the accuracy of the power flow calculation of the distribution network with the loop.
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Fig. 1 is a flowchart of a method for calculating a power flow of a distribution network including a ring according to an embodiment of the present application;
FIG. 2 is a diagram illustrating a model of a distribution network including a ring according to an embodiment of the present disclosure;
fig. 3 is a diagram of an original ring network model according to an embodiment of the present application;
fig. 4 is a diagram of a first equivalent ring network model according to an embodiment of the present application;
fig. 5 is a diagram of a second equivalent ring network model according to an embodiment of the present application.
Detailed Description
In order to make the aforementioned objects, features and advantages of the present application more comprehensible, embodiments accompanying the present application are described in detail below with reference to the accompanying drawings. In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present application. This application is capable of embodiments in many different forms than those described herein and those skilled in the art will be able to make similar modifications without departing from the spirit of the application and it is therefore not intended to be limited to the embodiments disclosed below.
It will be understood that when an element is referred to as being "disposed on" another element, it can be directly on the other element or intervening elements may also be present. When an element is referred to as being "connected" to another element, it can be directly connected to the other element or intervening elements may also be present.
Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs. The terminology used herein in the description of the present application is for the purpose of describing particular embodiments only and is not intended to be limiting of the application. As used herein, the term "and/or" includes any and all combinations of one or more of the associated listed items.
Referring to fig. 1, the present application provides a method for calculating a load flow of a distribution network including a ring. The method for calculating the power flow of the distribution network with the ring comprises the following steps:
s10, establishing a load model in the form of series connection of a voltage source and impedance according to load power data in the distribution network with the ring, establishing a mathematical model of the line according to the length and the unit impedance of the line in the distribution network with the ring, and forming an original ring network model by the load model and the mathematical model of the line. In step S10, the distribution network including the ring includes a line and a load connected to the line. One part of the lines and the loads can form a ring network, and the other part of the lines and the loads are branches connected with nodes in the ring network. An exemplary embodiment of the present application provides a schematic diagram of a distribution network including a ring, as shown in fig. 2. The load power and the load voltage in the distribution network with the ring can be obtained in real time through the detection equipment. Through the conversion of the model, each load in the distribution network containing the ring can be regarded as a voltage source and an impedance connected in series on the distribution network. And the current will have a voltage drop on the line in the looped network, which can be equated to an impedance for calculation.
S20, selecting a plurality of loop turning nodes from the original ring network model, and converting the original ring network model into a second equivalent ring network model through star network conversion, wherein each loop turning node in the second equivalent ring network model is connected with a branch. In step S20, the original ring network model may include a loop and branches connected to nodes in the loop, and since there may be many nodes in the loop and there may be many branches in a node on the loop, it is difficult to obtain the power flow distribution of the entire distribution network including the loop through kirchhoff' S current law. Therefore, several nodes in the loop can be selected as loop turning nodes, and then the branches connected with the rest loop nodes are moved to the loop turning nodes by using the star network transformation. And then equivalently converting a plurality of branches connected with each loop turning node into one branch through series-parallel equivalence to form a second equivalent ring network model.
And S30, obtaining a node voltage value of each loop turning node in the second equivalent looped network model by using kirchhoff current law. In step S30, a KCL equation is written and solved for each loop turning node column in the second equivalent looped network model, so that a node voltage value of each loop turning node can be obtained.
And S40, obtaining the power flow distribution of the whole distribution network containing the ring by using the node voltage value of each loop turning node. In step S40, each loop turning node can be equivalent to a voltage source to disconnect the network according to the voltage value of each loop turning node, and the power flow distribution of the entire distribution network with loops can be obtained through a common circuit solution (e.g., ohm' S law). In one embodiment, the method for calculating the power flow of the distribution network with the ring is used for single-phase power flow calculation or three-phase power flow calculation.
According to the load flow calculation method of the distribution network with the ring, a load model in the form of series connection of a voltage source and impedance is established, and a mathematical model of a line is established to form an original network model. The establishment of the original network model provides a basis for successively completing the power flow distribution of the distribution network with the ring through kirchhoff current law. The method for calculating the power flow of the distribution network with the ring comprises the steps of solving the node voltage value of each loop turning node through star network transformation, and obtaining the power flow distribution of the whole distribution network with the ring by using the node voltage value of each loop turning node. The method and the device adopt a combination mode of the constant impedance model and the constant current model, and improve the accuracy of the power flow calculation of the distribution network with the loop. In addition, the method provided by the application can realize the power flow state of the ring network without setting and solving the iteration quantity, and can accurately obtain the power flow distribution of the whole ring-containing distribution network only through accurate modeling and an equivalent principle, and is simple, convenient and fast.
In one embodiment, the step of modeling the load in series with the voltage source and the impedance comprises modeling the load according to the power (P) of the loadL+jQL) Setting the ratio of active power of constant current component to active power of constant impedance component as apAnd aqThe ratio of reactive power is bpAnd bqAnd further establishing a load model in the form of parallel connection of a current source and an impedance. The current source (I)L) And impedance (Z)L) And establishing a load model in a parallel connection mode, and converting the load model into a load model in a voltage source and impedance series connection mode. Wherein the load model is expressed in per unit value form as follows:
Figure BDA0002115015110000071
where V is a voltage value (constant value) of the load.
The load model of the parallel connection form of the current source and the impedance is as follows:
Figure BDA0002115015110000072
wherein, IL＝ILx+jILy；ZL＝RL+XL；RLIs a transverse resistance component parameter in the load model; xLIs a transverse reactance component parameter in the load model; i isLxIs the component of the transverse current component in the load model on the x-axis; i isLyIs the component of the transverse current component in the load model on the y-axis; delta is the phase angle of the voltage.
The current source (I)L) And impedance (Z)L) The parallel connection type load model is established and converted into a load model in the form of series connection of a voltage source and an impedance, and the load model comprises the following steps:
UL＝-IL×ZLformula (3)
In one embodiment, the S20, selecting a plurality of loop turning nodes from the original ring network model, and converting the original ring network model into a second equivalent ring network model through star network conversion, where the step of connecting each loop turning node in the second equivalent ring network model to a branch includes:
and selecting a plurality of loop turning nodes from the original ring network model. And carrying out star network transformation on the branches connected with other loop nodes except the loop turning node in the original ring network model so as to obtain a first equivalent ring network model. And respectively carrying out series-parallel connection equivalence on the branch connected with each loop turning node in the first equivalent ring network model so as to obtain the second equivalent ring network model. For example, referring to fig. 3 and 4, the number of the loop nodes in the original ring network model is 5 (node 2, node 3, node 4, node 5, and node 6, respectively), 4 loop nodes (node 2, node 4, node 5, and node 6, respectively) are selected as loop turning nodes, and after the star network transformation, the branch connected to the node 3 is moved to the node 2 and the node 4. The first equivalent ring network model after the star network transformation is shown in fig. 4. And then obtaining a second equivalent looped network model shown in fig. 5 through series-parallel equivalent.
In one embodiment, when the number of the loop turning nodes is four, four KCL equations are obtained by using kirchhoff's current law, and the node voltage of each loop turning node in the second equivalent looped network model is obtained according to the four KCL equations. For example, the node voltages of the loop turning nodes in the second equivalent looped network model shown in fig. 5 can be solved by the following four KCL equations respectively:
Figure BDA0002115015110000091
Figure BDA0002115015110000092
Figure BDA0002115015110000093
Figure BDA0002115015110000094
wherein
Figure BDA0002115015110000095
Node voltages of node 2, node 4, node 5, and node 6, respectively.
In one embodiment, the step S40 of obtaining the power flow distribution of the entire distribution network including the loop by using the node voltage value of each loop turning node includes:
and disconnecting the original ring network model from each loop turning node to form a plurality of networks to be solved. And equivalently connecting the disconnected part of each network to be solved with a voltage source by using the node voltage value of each loop turning node. And solving the current of each branch in each network to be solved by using ohm law. The following solution steps for the partial branch type are described:
(1) as part of the network formed by the nodes 5, 9 of fig. 2, using
Figure BDA0002115015110000096
And
Figure BDA0002115015110000097
(fig. 5), determining the power flow according to the following equation:
Figure BDA0002115015110000098
Figure BDA0002115015110000099
(2) the partial network composed of nodes 3 and 8 in FIG. 1, 2 and 4 are respectively connected with voltage source
Figure BDA00021150151100000910
The 2-3 and 3-4 branches are equivalent in parallel, and then the determination can be made
Figure BDA00021150151100000911
And
Figure BDA00021150151100000912
after-utilization of
Figure BDA00021150151100000913
Can determine
Figure BDA00021150151100000914
Figure BDA00021150151100000915
Namely:
Figure BDA0002115015110000101
Figure BDA0002115015110000102
Figure BDA0002115015110000103
Figure BDA0002115015110000104
in one embodiment, the mathematical model of the length and unit impedance of the line in the distribution network with the ring is as follows:
Zl＝l×(r0+jx0) Formula (4)
Wherein Z islIs the total impedance of a section of line; l is the length of a section of line; r is0+jx0Is the impedance of the line per unit length.
A computer device comprising a memory, a processor and a computer program stored on the memory and running on the processor, the processor implementing the steps of the method of any of the above embodiments when executing the computer program.
A computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the steps of the method of any of the preceding embodiments.
It will be understood by those skilled in the art that all or part of the processes in the method for calculating the power flow of the distribution network including the ring in the embodiments described above may be implemented by a computer program, which may be stored in a non-volatile computer-readable storage medium, and when executed, may include the processes in the embodiments of the methods described above. Any reference to memory, storage, database, or other medium used in the embodiments provided herein may include non-volatile and/or volatile memory, among others. Non-volatile memory can include read-only memory (ROM), Programmable ROM (PROM), Electrically Programmable ROM (EPROM), Electrically Erasable Programmable ROM (EEPROM), or flash memory. Volatile memory can include Random Access Memory (RAM) or external cache memory. By way of illustration and not limitation, RAM is available in a variety of forms such as Static RAM (SRAM), Dynamic RAM (DRAM), Synchronous DRAM (SDRAM), Double Data Rate SDRAM (DDRSDRAM), Enhanced SDRAM (ESDRAM), Synchronous Link DRAM (SLDRAM), Rambus Direct RAM (RDRAM), direct bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM).
The technical features of the embodiments described above may be arbitrarily combined, and for the sake of brevity, all possible combinations of the technical features in the embodiments described above are not described, but should be considered as being within the scope of the present specification as long as there is no contradiction between the combinations of the technical features.
The above-mentioned embodiments only express several embodiments of the present application, and the description thereof is more specific and detailed, but not construed as limiting the claims. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the concept of the present application, which falls within the scope of protection of the present application. Therefore, the protection scope of the present patent shall be subject to the appended claims.

Claims (9)

1. A power flow calculation method for a distribution network with a ring is characterized by comprising the following steps:
s10, establishing a load model in the form of series connection of a voltage source and impedance according to load power data in the distribution network with the ring, establishing a mathematical model of a line according to the length and unit impedance of the line in the distribution network with the ring, wherein the load model and the mathematical model of the line form an original ring network model;
s20, selecting a plurality of loop turning nodes from the original ring network model, and converting the original ring network model into a second equivalent ring network model through star network conversion, wherein each loop turning node in the second equivalent ring network model is connected with a branch;
s30, obtaining a node voltage value of each loop turning node in the second equivalent looped network model by using a kirchhoff current law;
s40, obtaining the power flow distribution of the whole distribution network containing the ring by using the node voltage value of each loop turning node;
the specific steps of establishing the load model in the form of series connection of the voltage source and the impedance comprise:
according to the power of the load, the ratio of the active power of the constant current component to the active power of the constant impedance component is set as apAnd aQThe ratio of reactive power is bpAnd bQFurther establishing a load model in the form that the current source is connected with the impedance in parallel;
establishing a load model in a form of parallel connection of the current source and the impedance, and converting the load model into a load model in a form of series connection of the voltage source and the impedance;
the S20 selects a plurality of loop turning nodes from the original ring network model, and converts the original ring network model into a second equivalent ring network model through star network transformation, where the step of connecting each loop turning node in the second equivalent ring network model to a branch includes:
selecting a plurality of loop turning nodes from the original ring network model;
performing star network transformation on branches connected with other loop nodes except the loop turning node in the original ring network model to obtain a first equivalent ring network model;
and respectively carrying out series-parallel connection equivalence on the branch connected with each loop turning node in the first equivalent ring network model so as to obtain the second equivalent ring network model.
2. The method for calculating power flow of the distribution network with the ring as claimed in claim 1, wherein the distribution network with the ring comprises lines and loads connected to the lines.
3. The power flow calculation method for the distribution network with the ring as claimed in claim 1, wherein the load model in the form of parallel connection of the current source and the impedance is as follows:
Figure FDA0002788354410000021
wherein R isLIs a transverse resistance component parameter in the load model; xLIs a constant reactance component parameter in the load model; i isLxIs the component of the constant current component in the load model on the x-axis; i isLyThe component of the constant current component in the load model on the y axis is shown; delta is the phase angle of the voltage.
4. The power flow calculation method for the distribution network with the ring, according to claim 1, is characterized in that when the number of the loop turning nodes is four, four kirchhoff current equations are obtained by using kirchhoff current law, and the node voltage of each loop turning node in the second equivalent loop network model is obtained according to the four kirchhoff current equations.
5. The method for calculating the power flow of the distribution network including the ring according to claim 1, wherein the step S40 of obtaining the power flow distribution of the entire distribution network including the ring by using the node voltage value of each loop turning node includes:
disconnecting the original ring network model from each loop turning node to form a plurality of networks to be solved;
equivalently connecting the disconnected part of each network to be solved with a voltage source by using the node voltage value of each loop turning node;
and solving the current of each branch in each network to be solved by using ohm law.
6. The power flow calculation method for the distribution network with the ring as claimed in claim 1, wherein the mathematical model of the established line based on the length and the unit impedance of the line in the distribution network with the ring is as follows:
Zl＝l×(r0+jx0)
wherein Z islIs the total impedance of a section of line; l is the length of a section of line; r is0+jx0Is the impedance of the line per unit length.
7. The power flow calculation method for the distribution network with the ring as claimed in claim 1, wherein the power flow calculation method for the distribution network with the ring is used for single-phase power flow calculation or three-phase power flow calculation.
8. A computer device comprising a memory, a processor and a computer program stored on the memory and running on the processor, characterized in that the steps of the method of any of claims 1 to 7 are implemented when the computer program is executed by the processor.
9. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, carries out the steps of the method according to any one of claims 1 to 7.
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