CN114899825B - Comprehensive optimization method for power distribution network based on network equivalent transformation - Google Patents

Comprehensive optimization method for power distribution network based on network equivalent transformation Download PDF

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CN114899825B
CN114899825B CN202210413368.5A CN202210413368A CN114899825B CN 114899825 B CN114899825 B CN 114899825B CN 202210413368 A CN202210413368 A CN 202210413368A CN 114899825 B CN114899825 B CN 114899825B
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branch
power
network
current
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CN114899825A (en
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潘志远
赵义术
刘超男
李宏伟
任玉保
荆辉
贾涛
郑壮壮
李荣凯
郑鑫
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State Grid Corp of China SGCC
State Grid of China Technology College
Shandong Electric Power College
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State Grid Corp of China SGCC
State Grid of China Technology College
Shandong Electric Power College
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    • 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
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/12—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
    • H02J3/16—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load by adjustment of reactive power
    • 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
    • H02J3/18—Arrangements for adjusting, eliminating or compensating reactive power in 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
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/381—Dispersed generators
    • 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
    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
    • 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
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • 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
    • H02J2300/00—Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation
    • H02J2300/20—The dispersed energy generation being of renewable origin
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S10/00—Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)

Abstract

The invention discloses a comprehensive optimization method of a power distribution network based on network equivalent transformation, which relates to the field of power grid optimization scheduling operation.

Description

Comprehensive optimization method for power distribution network based on network equivalent transformation
Technical Field
The invention relates to the field of power grid optimization scheduling operation, in particular to a comprehensive power distribution network optimization method based on network equivalence transformation.
Background
The comprehensive optimization of the power distribution network refers to decision switch division and state, the number of switching groups of the capacitor and the output of the schedulable distributed power supply, on the premise that the power distribution network is in a radial structure, the line loss can be effectively reduced, the voltage distribution is improved, the economical efficiency and the reliability of the operation of the power distribution network are improved, and the comprehensive optimization is a large-scale mixed integer nonlinear programming problem mathematically, so that the efficient and accurate solving method has important theoretical and practical significance.
At present, the comprehensive optimization of the power distribution network generally adopts an alternate solution method, namely capacitor optimization switching and schedulable distributed power supply output and reconstruction alternate solution; or simultaneously solving by adopting an intelligent optimization algorithm. The disadvantage of the alternative solution algorithm is that it is difficult to obtain an optimal or near optimal solution, while the intelligent optimization algorithm can theoretically obtain an optimal solution, the calculation efficiency is low, and it is difficult to meet the real-time operation requirement.
Disclosure of Invention
In order to solve the technical problems, the invention discloses a comprehensive optimization method for a power distribution network based on network equivalent transformation, which realizes reconstruction, capacitor optimization switching and dispatching-capable distributed power output simultaneous optimization, reduces the solving scale of the problem through the network equivalent transformation, improves the calculation efficiency, and meets the requirement of real-time dispatching.
In order to achieve the above purpose, the technical scheme adopted by the invention is as follows:
A comprehensive optimization method of a power distribution network based on network equivalence transformation is realized through the following steps:
Step S1: the method comprises the steps of inputting branch impedance, node load active and reactive power, branch number b and node number n of a power distribution network, closing all switches to form a few looped networks, inputting looped network number l, inputting threshold value epsilon, capacitor single-group susceptance b c, total group number n c, maximum active power of a distributed power supply and maximum reactive power/>
Step S2: calculating the current less looped network power flow by adopting Newton-Lapherson power flow to obtain each branch current;
Step S3: let the iteration number it=1, each node voltage is equal to the root node voltage, i.e., V k(it)＝V1, k=2,;
Step S4: assuming that each ring network is connected in series with an imaginary voltage source, under the given voltage condition, establishing a secondary optimization model as follows:
BZI＝US (2)
AI＝IS (3)
U＝ZI (4)
US＝ZLIL (5)
Ilk≤max{Ikj,j∈Ωk},k＝1,2,...,l (6)
Wherein (I, j) represents a branch with a start-end node of I, j, Ω bra is a branch set, r ij is a resistance of the branch (I, j), I ij is a current amplitude of the branch (I, j), and B is an l×b-order loop matrix; z=diag { Z ij } is the branch impedance matrix, I is the branch current vector; u S is a series imaginary voltage source vector, A is an (n-1) x b order node branch correlation matrix, Z L is a loop impedance matrix, I L is a loop current vector, and I S＝{Is2,Is3,...,Isn is a parallel current source vector;
according to , converting into load, P Li,QLi is active and reactive load of a node i, and V i is voltage of the node i;
According to , converting the active power and the reactive power into the active power and the reactive power of the schedulable distributed generator, wherein P Gi,QGi is the active power and the reactive power of the schedulable distributed power supply of the node i;
According to , the reactive power is converted into parallel capacitors, Q ci is reactive power switched by the capacitors of the node i, b ci is single-group susceptance of the capacitors of the node i, n ci is the number of switched groups of the capacitors of the node i, and/ is the maximum number of switched groups of the capacitors of the node i;
According to formulas (1-6), the imaginary voltage source U S (it), the loop current vector I L (it), the capacitor switching group number n ci and the schedulable distributed power source output P Gi,QGi of the ith iteration are optimally calculated for the current few ring network.
Step S5: calculating the voltage V k (it+1) of each node of the (it+1) th iteration according to U S (it) obtained by the (it) th iteration, wherein k=2, n;
Step S6: if max V k(it+1)-Vk (it) is less than epsilon, k=1, 2, n., turning to step S7; otherwise, let it=it+1, go to step S4;
Step S7: for each branch on the ring network, calculating the sum of the branch current obtained in the step S2 and the loop current of the same loop obtained in the step S3, and selecting the ring network branch with the minimum modulus value to be disconnected, so that l=l-1;
step S8: if l=0, go to step S6; otherwise, turning to step S2;
step S9: outputting the disconnected branch, the capacitor switching group number and the schedulable distributed power output, and ending.
According to the invention, the solving scale of the comprehensive optimization problem of the power distribution network is reduced based on a network equivalent transformation method, firstly, newton-Lapherson method is adopted to carry out power flow calculation on fewer looped networks to obtain current of each branch, then each looped network is assumed to be connected in series with an ideal voltage source, a secondary optimization model is established under the condition of given voltage, and finally, iterative solution is carried out on the disconnected branch, the capacitor switching group number and the schedulable distributed power supply output, so that the calculation efficiency is improved, simultaneous optimization of reconstruction, capacitor optimization switching and schedulable distributed power supply output is realized, the defects of the existing method are overcome, the actual operation needs are really met, and the method has important theoretical and practical significance on comprehensive optimization of the power distribution network.
Drawings
FIG. 1 is a schematic flow chart of the present invention;
FIG. 2 is a schematic diagram of a node according to embodiment 1 of the present invention;
fig. 3 is a schematic node diagram of embodiment 2 of the present invention.
Detailed Description
The invention is described in detail below with reference to the attached drawings and the specific embodiments:
as shown in fig. 1, the comprehensive optimization method of the power distribution network based on network equivalent transformation is realized by the following steps:
Step S1: the method comprises the steps of inputting branch impedance, node load active and reactive power, branch number b and node number n of a power distribution network, closing all switches to form a few looped networks, inputting looped network number l, inputting threshold value epsilon, capacitor single-group susceptance b c, total group number n c, maximum active power of a distributed power supply and maximum reactive power/>
Step S2: calculating the current less looped network power flow by adopting Newton-Lapherson power flow to obtain each branch current;
Step S3: let the iteration number it=1, each node voltage is equal to the root node voltage, i.e., V k(it)＝V1, k=2,;
Step S4: assuming that each ring network is connected in series with an imaginary voltage source, under the given voltage condition, establishing a secondary optimization model as follows:
BZI＝US (2)
AI＝IS (3)
U＝ZI (4)
US＝ZLIL (5)
Ilk≤max{Ikj,j∈Ωk},k＝1,2,...,l (6)
Wherein (I, j) represents a branch with a start-end node of I, j, Ω bra is a branch set, r ij is a resistance of the branch (I, j), I ij is a current amplitude of the branch (I, j), and B is an l×b-order loop matrix; z=diag { Z ij } is the branch impedance matrix, I is the branch current vector; u S is a series imaginary voltage source vector, A is an (n-1) x b order node branch correlation matrix, Z L is a loop impedance matrix, I L is a loop current vector, and I S＝{Is2,Is3,...,Isn is a parallel current source vector;
According to , converting into load, P Li,QLi is active and reactive load of a node i, and V i is voltage of the node i;
According to , converting the active power and the reactive power into the active power and the reactive power of the schedulable distributed generator, wherein P Gi,QGi is the active power and the reactive power of the schedulable distributed power supply of the node i;
according to , the reactive power is converted into parallel capacitors, Q ci is reactive power switched by the capacitors of the node i, b ci is single-group susceptance of the capacitors of the node i, n ci is the number of switched groups of the capacitors of the node i, and/ is the maximum number of switched groups of the capacitors of the node i;
According to formulas (1-6), the imaginary voltage source U S (it), the loop current vector I L (it), the capacitor switching group number n ci and the schedulable distributed power source output P Gi,QGi of the ith iteration are optimally calculated for the current few ring network.
Step S5: calculating the voltage V k (it+1) of each node of the (it+1) th iteration according to U S (it) obtained by the (it) th iteration, wherein k=2, n;
Step S6: if max V k(it+1)-Vk (it) is less than epsilon, k=1, 2, n., turning to step S7; otherwise, let it=it+1, go to step S4;
Step S7: for each branch on the ring network, calculating the sum of the branch current obtained in the step S2 and the loop current of the same loop obtained in the step S3, and selecting the ring network branch with the minimum modulus value to be disconnected, so that l=l-1;
step S8: if l=0, go to step S6; otherwise, turning to step S2;
step S9: outputting the disconnected branch, the capacitor switching group number and the schedulable distributed power output, and ending.
Embodiment 1 takes as an example the IEEE33 node standard system shown in fig. 2.
Step S1: the input parameters are as follows: the network has 37 branches, 5 tie switches, rated voltage of 12.66kV, ring network number of 5, threshold value of 0.001, table 1 is branch parameters, table 2 is capacitor parameters, table 3 is load parameters, and table 4 is schedulable generator parameters.
TABLE 1 Branch parameter Table
Table 2 capacitor parameter table
TABLE 3 load parameter table
Table 4 mounting location and capacity of schedulable distributed power supply
Steps S2-S8:
The IEEE33 node network has 5 loops, 5 iterative computations are needed in the algorithm, and the following table shows the disconnection branch and the optimized network loss determined by each iterative computation.
Table 5 open loop order
Opening the open loop sequence Disconnecting switch Optimized net loss
1 11 23.52
2 33 23.56
3 17 23.62
4 22 23.85
5 14 24.19
Table 6 calculation results and comparison
As can be seen from Table 6, the method of the invention reduces 55.05% of time relative to the alternative iterative algorithm, reduces 99.09% of time relative to the optimization algorithm only, and improves the calculation efficiency significantly.
Embodiment 2 takes as an example the IEEE69 node standard system shown in fig. 3.
Step S1: the input parameters are as follows: the network has 73 branches, 5 tie switches, rated voltage of 12.66kV, ring network number of 5, threshold value of 0.001, table 7 is branch parameters, table 8 is capacitor parameters, table 9 is load parameters, and table 10 is adjustable generator parameters.
TABLE 7 Branch parameter Table
Table 8 capacitor parameters
TABLE 9 load parameters
Table 10 schedulable distributed power supply installation location and capacity
Steps S2-S8:
the IEEE69 node network has 5 loops, 5 iterative computations are needed in the computation, and the disconnection branch and the optimized network loss determined by each iterative computation are given below.
TABLE 11 open Loop order
Table 12 calculation results and comparison
Project The method of the invention Alternate iteration method
Number of broken branch 10,13,17,52,73 10,13,18,53,73
Node 38 active (MW) 0.817 0.818
Node 38 reactive (Mvar) 0.579 0.579
Node 50 active (MW) 1.92 1.89
Node 50 reactive (Mvar) 0.911 0.92
Number of input groups of nodes 19 6 6
Number of input groups of nodes 47 3 3
Number of input groups of nodes 52 8 7
Network loss (kW) 8.71 8.76
Calculation time (seconds) 1.8 6.3
According to the table 12, compared with the time of the alternative iterative algorithm, the method provided by the invention is reduced by 71.43%, the calculation efficiency is obviously improved, and the requirement of real-time scheduling is met.
The above embodiments are provided for illustrating the present invention and not for limiting the present invention, and various changes and modifications may be made by one skilled in the art to which the present invention pertains without departing from the spirit and scope of the invention, and therefore all equivalent technical solutions should be defined by the claims.

Claims (1)

1. The comprehensive optimization method for the power distribution network based on the network equivalent transformation is characterized by comprising the following steps of:
Step S1: the method comprises the steps of inputting branch impedance, node load active and reactive power, branch number b and node number n of a power distribution network, closing all switches to form a few looped networks, inputting looped network number l, inputting threshold value epsilon, capacitor single-group susceptance b c, total group number n c, maximum active power of a distributed power supply and maximum reactive power/>
Step S2: calculating the current less looped network power flow by adopting Newton-Lapherson power flow to obtain each branch current;
Step S3: let the iteration number it=1, each node voltage is equal to the root node voltage, i.e., V k(it)＝V1, k=2,;
Step S4: assuming that each ring network is connected in series with an imaginary voltage source, under the given voltage condition, establishing a secondary optimization model as follows:
BZI＝US (2)
AI＝IS (3)
U＝ZI (4)
US＝ZLIL (5)
Ilk≤max{Ikj,j∈Ωk},k＝1,2,...,l (6)
Wherein (I, j) represents a branch with a start-end node of I, j, Ω bra is a branch set, r ij is a resistance of the branch (I, j), I ij is a current amplitude of the branch (I, j), and B is an l×b-order loop matrix; z=diag { Z ij } is the branch impedance matrix, I is the branch current vector; u S is a series imaginary voltage source vector, A is an (n-1) x b order node branch correlation matrix, Z L is a loop impedance matrix, I L is a loop current vector, and I S＝{Is2,Is3,...,Isn is a parallel current source vector;
According to , converting into load, P Li,QLi is active and reactive load of a node i, and V i is voltage of the node i;
According to , converting the active power and the reactive power into the active power and the reactive power of the schedulable distributed generator, wherein P Gi,QGi is the active power and the reactive power of the schedulable distributed power supply of the node i;
According to , the reactive power is converted into parallel capacitors, Q ci is reactive power switched by the capacitors of the node i, b ci is single-group susceptance of the capacitors of the node i, n ci is the number of switched groups of the capacitors of the node i, and/ is the maximum number of switched groups of the capacitors of the node i;
According to formulas (1-6), the imaginary voltage source U S (it), the loop current vector I L (it), the capacitor switching group number n ci and the schedulable distributed power source output P of the present loop-less network optimization calculation (it) th iteration Gi,QGi,
Step S5: calculating the voltage V k (it+1) of each node of the (it+1) th iteration according to U S (it) obtained by the (it) th iteration, wherein k=2, n;
Step S6: if max V k(it+1)-Vk (it) is less than epsilon, k=1, 2, n., turning to step S7; otherwise, let it=it+1, go to step S4;
Step S7: for each branch on the ring network, calculating the sum of the branch current obtained in the step S2 and the loop current of the same loop obtained in the step S3, and selecting the ring network branch with the minimum modulus value to be disconnected, so that l=l-1;
step S8: if l=0, go to step S6; otherwise, turning to step S2;
step S9: outputting the disconnected branch, the capacitor switching group number and the schedulable distributed power output, and ending.
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