CN103715687A - Method for controlling branch power congestion of active power distribution network in real time - Google Patents

Method for controlling branch power congestion of active power distribution network in real time Download PDF

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CN103715687A
CN103715687A CN201410012140.0A CN201410012140A CN103715687A CN 103715687 A CN103715687 A CN 103715687A CN 201410012140 A CN201410012140 A CN 201410012140A CN 103715687 A CN103715687 A CN 103715687A
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distribution network
active power
power distribution
active
power
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CN103715687B (en
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吴文传
邹庆
王玮
张伯明
李飞
刘毅
孙宏斌
纪元
刘一兵
杨耀
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Information & Communication Branch Of Guizhou Grid Co
Tsinghua University
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Information & Communication Branch Of Guizhou Grid Co
Tsinghua University
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Abstract

The invention relates to a method for controlling branch power congestion of an active power distribution network in real time, and belongs to the technical field of power system operation and control. The method comprises the steps that a three-phase node branch incidence matrix, a three-phase starting end node branch incidence matrix and a three-phase tail end node branch incidence matrix of the active power distribution network are established, an objective function for real-time control over the branch power congestion of the active power distribution network is also established, and a three-phase branch trend equation for reflecting operation of the radiating active power distribution network is further established; then the operation characteristic constrain of the three-phase active power distribution network and all the equipment in the network are comprehensively considered to conduct equivalent deformation on an original problem, a non-linear programming method is used for solving the control value of the active power of a distributed power source and the control value of the active power of a controllable active load, and real-time control over the branch power congestion of the active power distribution network is achieved. The method for controlling the branch power congestion of the active power distribution network highly accords with the characteristics of operation of the active power distribution network, and is small in calculated amount, capable of simply and conveniently achieving network modeling and analyzing of the active power distribution network, and more powerful in capacity for real-time controlling over branch power.

Description

Active power distribution network branch power congestion real-time control method
Technical Field
The invention relates to a real-time control method for branch power congestion of an active power distribution network, and belongs to the technical field of operation and control of power systems.
Background
The Distributed Generation (DG) can optimize the energy structure, promote energy conservation and emission reduction and realize economic sustainable development. In recent years, the penetration rate of distributed power sources in a power Distribution Network is rapidly increased, and a traditional power Distribution Network is gradually changed into an Active Distribution Network (ADN) with numerous adjustable and controllable resources, and the operation management of the ADN also meets with numerous challenges.
The power consumption and absorption of distributed power sources, reactive power compensation devices, loads and the like in the active power distribution network enable the power flow distribution of the network to be changed greatly. The traditional single-flow load flow mode from the root node of the distribution transformer does not exist. A plurality of adjustable devices compete to utilize limited power transmission and distribution lines, the power transmitted in the active power distribution network approaches the upper limit value of branch power, and the disordered regulation and control of a plurality of resources seriously influences the safe and economic operation of the power distribution network. Therefore, how to efficiently utilize various resources and prevent the power congestion of the line branch is an important topic in the operation management of the active power distribution network.
Disclosure of Invention
The invention provides a real-time control method for branch power congestion of an active power distribution network, which establishes a control model comprehensively considering the running characteristics of a three-phase active power distribution network and each device, calculates the control values of active power of a distributed power supply and a controllable active load through a nonlinear programming method, and realizes the real-time control of the branch power congestion of the active power distribution network.
The invention provides a real-time control method for branch power congestion of an active power distribution network, which comprises the following steps:
(1) establishing an objective function of branch power congestion control:
Figure BDA0000455640640000011
wherein N represents the number of nodes of the active power distribution network, and the corner mark is arranged
Figure BDA0000455640640000012
The phase difference of A, B and C phases of the active power distribution network is shown,
Figure BDA0000455640640000021
the penalty coefficient of each phase active power of the distributed power supply cut off from the node i after the power of the active power distribution network is congested,
Figure BDA0000455640640000022
is a positive real number ranging from 0 to 1,for each phase active power of the distributed power supply cut off at the node i after the power of the active power distribution network is congested,
Figure BDA0000455640640000024
the penalty coefficient of each phase active power of the load cut off from the node i after the power of the active power distribution network is congested,
Figure BDA0000455640640000025
active power of each phase of a load cut off from a node i after the power of a line branch of the active power distribution network is congested;
(2) the method comprises the following steps of establishing a power flow equation of a single feeder of the active power distribution network as follows:
P i + 1 = P i - r i P i 2 + Q i 2 V i 2 - P Li + 1
Q i + 1 = Q i - x i P i 2 + Q i 2 V i 2 - Q Li + 1
V i 2 = V i 2 - 2 ( r i P i + x i Q i ) + ( r i 2 + x i 2 ) P i 2 + Q i 2 V i 2
wherein, PiAnd QiRespectively the active power and the reactive power V of each branch taking the node i as the head end in the active power distribution networkiIs the voltage amplitude, P, of node i in the active distribution networkLi+1And QLi+1Active power and reactive power, r, respectively, of a load connected to node i +1 in an active distribution networkiAnd xiRespectively the resistance and reactance of each branch taking the node i as the head end in the active power distribution network;
(3) expanding the branch power flow form of the more general radial active power distribution network according to the power flow equation of the active power distribution network to form a three-phase node-branch incidence matrix of the active power distribution network
Figure BDA0000455640640000029
And a branch impedance matrix based on branch self-impedance and mutual impedance
Figure BDA00004556406400000210
Node-branch incidence matrix of three phases of active power distribution network
Figure BDA00004556406400000211
The element of 1 constitutes an AND matrix
Figure BDA00004556406400000212
Same-dimension initial-end branch incidence matrixNode-branch incidence matrix of three phases of active power distribution network
Figure BDA00004556406400000214
The element of-1 constitutes an AND matrix
Figure BDA00004556406400000215
Same-dimension terminal branch incidence matrix
Figure BDA00004556406400000216
(4) Combining the above matrix
Figure BDA00004556406400000217
Matrix array
Figure BDA00004556406400000218
Matrix array
Figure BDA00004556406400000219
Sum matrixIntroducing the active power distribution network power flow equation in the step (2) to obtain the following active power distribution network power flow equation:
Figure BDA00004556406400000221
wherein,and
Figure BDA0000455640640000032
column vectors of active power and reactive power at the beginning of a branch in the active power distribution network respectively,
Figure BDA0000455640640000033
and
Figure BDA0000455640640000034
respectively net injecting active power and reactive power column vectors into nodes in the active power distribution network,
Figure BDA0000455640640000035
is a branch resistance matrix of three phases of an active power distribution network,
Figure BDA0000455640640000036
is a branch reactance matrix of three phases of an active power distribution network,
Figure BDA0000455640640000037
the method comprises the following steps that node voltage column vectors of three phases of an active power distribution network are multiplied and divided by corresponding elements of two vectors;
(5) transforming the power flow equation of the step (4) into the following form:
Figure BDA0000455640640000038
Figure BDA0000455640640000039
Figure BDA00004556406400000310
Figure BDA00004556406400000311
wherein,
Figure BDA00004556406400000312
the vector of the square term of the node voltage in the active power distribution network,is a vector of a branch current amplitude squared term in the active power distribution network,
Figure BDA00004556406400000314
real, imag, T are respectively real part, imaginary part, conjugate and transposition of the corresponding element;
(6) establishing node net injection power column vector in active power distribution network
Figure BDA00004556406400000315
And
Figure BDA00004556406400000316
the power constraint of node i in (1) is:
Figure BDA00004556406400000318
wherein,
Figure BDA00004556406400000319
and
Figure BDA00004556406400000320
respectively three-phase active power and three-phase reactive power of the distributed power supply connected with a node i in the active power distribution network,
Figure BDA00004556406400000321
and
Figure BDA00004556406400000322
three-phase active power and three, respectively, of loads connected to node i in the active distribution networkThe phase-to-phase reactive power is,
Figure BDA00004556406400000323
the three-phase reactive power of the reactive power compensation device connected to the node i in the active power distribution network,
Figure BDA00004556406400000324
for each phase active power of the distributed power supply cut off at the node i after the power of the active power distribution network is congested,
Figure BDA00004556406400000325
active power of each phase of a load cut off from a node i after the power of the active power distribution network is congested;
(7) establishing safe voltage constraints for node i of an active power distribution network
Figure BDA00004556406400000326
Wherein,
Figure BDA00004556406400000327
the amplitude of each phase voltage of the node i in the active power distribution network is squared,
Figure BDA00004556406400000328
and
Figure BDA00004556406400000329
the upper limit value and the lower limit value are the square of the amplitude of each phase voltage of a node i in the active power distribution network;
(8) establishing safe current constraints for branches ij of an active power distribution network
Figure BDA00004556406400000330
Wherein,
Figure BDA00004556406400000331
for the square of the phase current amplitude of the active distribution network branch ij,
Figure BDA00004556406400000332
the upper limit value of the square of each phase current amplitude of the active power distribution network branch ij;
(9) establishing power constraint of a root node of a distribution transformer of the active power distribution network as follows:
Figure BDA0000455640640000041
Figure BDA0000455640640000042
wherein,
Figure BDA0000455640640000043
to flow three-phase active power from the distribution transformer root node into the active distribution grid,
Figure BDA0000455640640000044
the lower limit value and the upper limit value of the three-phase active power of the root node of the distribution transformer are respectively set for the active distribution network dispatching center,
Figure BDA0000455640640000045
for three-phase reactive power to flow from the distribution transformer root node into the active distribution grid,respectively setting a lower limit value and an upper limit value of each phase of reactive power of a root node of a distribution transformer for an active distribution network dispatching center;
(10) establishing operation constraints of a distributed power supply in an active power distribution network as follows:
Figure BDA0000455640640000047
Figure BDA0000455640640000048
Figure BDA0000455640640000049
Figure BDA00004556406400000410
wherein,
Figure BDA00004556406400000411
the current value of the active power of the distributed power source connected to the node i in the active power distribution network,
Figure BDA00004556406400000412
is a predicted value of the active power of the distributed power supply connected to the node i in the active power distribution network,
Figure BDA00004556406400000413
the current value of the reactive power of the distributed power source connected to the node i in the active power distribution network,
Figure BDA00004556406400000414
the method is used for predicting the reactive power of the distributed power supply connected to the node i in the active power distribution network,
Figure BDA00004556406400000415
the power factor angle of a distributed power supply in an active power distribution network;
(11) and (3) solving the branch power congestion control objective function of the active power distribution network in the step (1) by adopting a nonlinear programming method according to the load flow equation in the step (5) and the operation constraints of the active power distribution network in the steps (6) to (10) to obtain active power of each phase of the distributed power supply and the load removed after the power of the active power distribution network is congested, and realizing the real-time control of the branch power congestion of the active power distribution network.
The real-time control method for branch power congestion of the active power distribution network, provided by the invention, has the advantages that: according to the method, a three-phase branch load flow model reflecting the operation of the radial active power distribution network is established, the operation characteristics of the active power distribution network are highly met, and the calculated amount is small; the method provides a three-phase node branch incidence matrix, a three-phase starting end node branch incidence matrix and a three-phase tail end node branch incidence matrix, avoids a complex active power distribution network topology searching process, and simply and conveniently realizes network modeling and analysis of the active power distribution network; the method of the invention provides a coordination control mode of the active power of the distributed power supply and the active controllable load, and the capability of controlling the branch power in real time is stronger.
Drawings
Fig. 1 is a structural diagram of an active power distribution network related to a power flow equation of a control method for preventing branch power congestion of the active power distribution network according to the invention.
Detailed Description
The invention provides a control method for preventing branch power congestion of an active power distribution network, which comprises the following steps:
(1) establishing an objective function of branch power congestion control:
Figure BDA0000455640640000051
wherein N represents the number of nodes of the active power distribution network, and the corner mark is arranged
Figure BDA0000455640640000052
Representing active distribution networksThe three phases of A, B and C are different,
Figure BDA0000455640640000053
the penalty coefficient of each phase active power of the distributed power supply cut off from the node i after the power of the active power distribution network is congested,
Figure BDA0000455640640000054
is a positive real number ranging from 0 to 1,
Figure BDA0000455640640000055
for each phase active power of the distributed power supply cut off at the node i after the power of the active power distribution network is congested,
Figure BDA0000455640640000056
the penalty coefficient of each phase active power of the load cut off from the node i after the power of the active power distribution network is congested,
Figure BDA0000455640640000057
active power of each phase of a load cut off from a node i after the power of the active power distribution network is congested; the operation of the active power distribution network not only needs to ensure the reasonable operation of each device, but also needs to ensure certain safety constraint, branch power congestion is an important index, the real-time control of the branch power congestion of the active power distribution network can be realized by adjusting the active power of the distributed power supply and the active power of the load, and the utilization rate of renewable energy sources and the benefit of users can be influenced by excessively cutting off the active power of the distributed power supply or the active power of the load. To this end, branch power congestion is established as a safety constraint for the line, and an objective function is established that minimizes the removal of distributed power active power and load active power, whereShould be greater than
Figure BDA0000455640640000059
To ensure the normal operation condition
Figure BDA00004556406400000510
The branch power congestion control method has the advantages that the branch power congestion control is zero, but in an extreme case, when the branch power congestion cannot be eliminated, the branch power congestion control can be realized only by cutting off the load active power, and the requirement of the branch power congestion control of the active power distribution network is met.
(2) The method comprises the following steps of establishing a power flow equation of a single feeder of the active power distribution network as follows: the structure diagram of the active power distribution network related to the power flow equation is shown in fig. 1.
P i + 1 = P i - r i P i 2 + Q i 2 V i 2 - P Li + 1
Q i + 1 = Q i - x i P i 2 + Q i 2 V i 2 - Q Li + 1
V i 2 = V i 2 - 2 ( r i P i + x i Q i ) + ( r i 2 + x i 2 ) P i 2 + Q i 2 V i 2
Wherein, PiAnd QiAre respectively activeActive and reactive power, V, of each branch in a power distribution network with node i as head endiIs the voltage amplitude, P, of node i in the active distribution networkLi+1And QLi+1Active power and reactive power, r, respectively, of a load connected to node i +1 in an active distribution networkiAnd xiRespectively the resistance and reactance of each branch taking the node i as the head end in the active power distribution network;
(3) expanding the branch power flow form of the more general radial active power distribution network according to the power flow equation of the active power distribution network to form a three-phase node-branch incidence matrix of the active power distribution network
Figure BDA0000455640640000061
And a branch impedance matrix based on branch self-impedance and mutual impedanceNode-branch incidence matrix of three phases of active power distribution network
Figure BDA0000455640640000063
The element of 1 constitutes an AND matrix
Figure BDA0000455640640000064
Same-dimension initial-end branch incidence matrix
Figure BDA0000455640640000065
Node-branch incidence matrix of three phases of active power distribution network
Figure BDA0000455640640000066
The element of-1 constitutes an AND matrix
Figure BDA0000455640640000067
Same-dimension terminal branch incidence matrix
Figure BDA0000455640640000068
(4) Combining the above matrix
Figure BDA0000455640640000069
Matrix array
Figure BDA00004556406400000610
Matrix array
Figure BDA00004556406400000611
Sum matrix
Figure BDA00004556406400000612
Introducing the active power distribution network power flow equation in the step (2) to obtain the following active power distribution network power flow equation:
Figure BDA00004556406400000614
wherein,
Figure BDA00004556406400000615
and
Figure BDA00004556406400000616
column vectors of active power and reactive power at the beginning of a branch in the active power distribution network respectively,
Figure BDA00004556406400000617
and
Figure BDA00004556406400000618
respectively net injecting active power and reactive power column vectors into nodes in the active power distribution network,
Figure BDA00004556406400000619
is a branch resistance matrix of three phases of an active power distribution network,
Figure BDA00004556406400000620
is a branch reactance matrix of three phases of an active power distribution network,the method comprises the following steps that node voltage column vectors of three phases of an active power distribution network are multiplied and divided by corresponding elements of two vectors;
(5) transforming the power flow equation of the step (4) into the following form:
Figure BDA00004556406400000622
Figure BDA00004556406400000623
Figure BDA00004556406400000624
Figure BDA00004556406400000625
wherein,
Figure BDA00004556406400000626
the vector of the square term of the node voltage in the active power distribution network,is a vector of a branch current amplitude squared term in the active power distribution network,
Figure BDA00004556406400000628
real、imag、*、t is respectively the real part, the imaginary part, the conjugate and the transposition of the corresponding element;
(6) establishing node net injection power column vector in active power distribution network
Figure BDA0000455640640000071
Andthe power constraint of node i in (1) is:
Figure BDA0000455640640000073
Figure BDA0000455640640000074
wherein,
Figure BDA0000455640640000075
andrespectively three-phase active power and three-phase reactive power of the distributed power supply connected with a node i in the active power distribution network,
Figure BDA0000455640640000077
andthree-phase active power and three-phase reactive power of loads connected to a node i in the active distribution network,the three-phase reactive power of the reactive power compensation device connected to the node i in the active power distribution network,
Figure BDA00004556406400000710
for each phase active power of the distributed power supply cut off at the node i after the power of the active power distribution network is congested,
Figure BDA00004556406400000711
active power of each phase of a load cut off from a node i after the power of the active power distribution network is congested;
it can be easily found that after a series of deformation, the power flow equation becomes a combination of three linear equations and one quadratic equation, and the square term of the branch current amplitude
Figure BDA00004556406400000712
Is defined as a variable.
(7) Establishing safe voltage constraints for node i of an active power distribution network
Figure BDA00004556406400000713
Wherein,
Figure BDA00004556406400000714
the amplitude of each phase voltage of the node i in the active power distribution network is squared,
Figure BDA00004556406400000715
and
Figure BDA00004556406400000716
the upper limit value and the lower limit value are the square of the amplitude of each phase voltage of a node i in the active power distribution network;
(8) establishing safe current constraints for branches ij of an active power distribution network
Figure BDA00004556406400000717
Wherein,
Figure BDA00004556406400000718
for the square of the phase current amplitude of the active distribution network branch ij,
Figure BDA00004556406400000719
the safety current constraint indicates that the branch current is within an allowable range of the branch active power;
(9) establishing power constraint of a root node of a distribution transformer of the active power distribution network as follows: in order to suppress the influence of the power fluctuation of the active distribution network on the transmission network, the exchange power constraint of the root node of the distribution transformer needs to be taken into account
Figure BDA00004556406400000720
Figure BDA00004556406400000721
Wherein,
Figure BDA00004556406400000722
to flow three-phase active power from the distribution transformer root node into the active distribution grid,
Figure BDA00004556406400000723
the lower limit value and the upper limit value of the three-phase active power of the root node of the distribution transformer are respectively set for the active distribution network dispatching center,
Figure BDA00004556406400000724
for three-phase reactive power to flow from the distribution transformer root node into the active distribution grid,
Figure BDA00004556406400000725
respectively setting a lower limit value and an upper limit value of each phase of reactive power of a root node of a distribution transformer for an active distribution network dispatching center;
(10) establishing operation constraints of a distributed power supply in an active power distribution network as follows:
Figure BDA0000455640640000082
Figure BDA0000455640640000083
Figure BDA0000455640640000084
wherein,the current value of the active power of the distributed power source connected to the node i in the active power distribution network,is a predicted value of the active power of the distributed power supply connected to the node i in the active power distribution network,
Figure BDA0000455640640000087
the current value of the reactive power of the distributed power source connected to the node i in the active power distribution network,
Figure BDA0000455640640000088
the method is used for predicting the reactive power of the distributed power supply connected to the node i in the active power distribution network,
Figure BDA0000455640640000089
the power factor angle of a distributed power supply in an active power distribution network; according to typical literature, the method is used for steady-state operation of the distributed power supplyThe PQ type is used. According to the existing research, the distributed power supply is connected to the grid through a power electronic device or a conventional rotating electrical machine interface, and the grid-connected power of the distributed power supply can realize the respective independent regulation of active power and reactive power.
(11) And (3) solving the branch power congestion control objective function of the active power distribution network in the step (1) by adopting a nonlinear programming method according to the load flow equation in the step (5) and the operation constraints of the active power distribution network in the steps (6) to (10) to obtain active power of each phase of the distributed power supply and the load removed after the branch power of the line of the active power distribution network is congested, so as to realize real-time control on the branch power congestion of the active power distribution network.

Claims (1)

1. A real-time control method for branch power congestion of an active power distribution network is characterized by comprising the following steps:
(1) establishing an objective function of branch power congestion control:
Figure FDA0000455640630000011
wherein N represents the number of nodes of the active power distribution network, and the corner mark is arranged
Figure FDA0000455640630000012
The phase difference of A, B and C phases of the active power distribution network is shown,the penalty coefficient of each phase active power of the distributed power supply cut off from the node i after the power of the active power distribution network is congested,
Figure FDA0000455640630000014
is a positive real number ranging from 0 to 1,
Figure FDA0000455640630000015
for each phase active power of the distributed power supply cut off at the node i after the power of the active power distribution network is congested,
Figure FDA0000455640630000016
the penalty coefficient of each phase active power of the load cut off from the node i after the power of the active power distribution network is congested,
Figure FDA00004556406300000118
active power of each phase of a load cut off from a node i after the power of the active power distribution network is congested;
(2) the method comprises the following steps of establishing a power flow equation of a single feeder of the active power distribution network as follows:
P i + 1 = P i - r i P i 2 + Q i 2 V i 2 - P Li + 1
Q i + 1 = Q i - x i P i 2 + Q i 2 V i 2 - Q Li + 1
V i 2 = V i 2 - 2 ( r i P i + x i Q i ) + ( r i 2 + x i 2 ) P i 2 + Q i 2 V i 2
wherein, PiAnd QiRespectively the active power and the reactive power V of each branch taking the node i as the head end in the active power distribution networkiIs the voltage amplitude, P, of node i in the active distribution networkLi+1And QLi+1Active power and reactive power, r, respectively, of a load connected to node i +1 in an active distribution networkiAnd xiRespectively the resistance and reactance of each branch taking the node i as the head end in the active power distribution network;
(3) expanding the branch power flow form of the more general radial active power distribution network according to the power flow equation of the active power distribution network to form a three-phase node-branch incidence matrix of the active power distribution networkAnd a branch impedance matrix based on branch self-impedance and mutual impedance
Figure FDA00004556406300000113
Node-branch incidence matrix of three phases of active power distribution network
Figure FDA00004556406300000114
The element of 1 constitutes an AND matrix
Figure FDA00004556406300000115
Same-dimension initial-end branch incidence matrix
Figure FDA00004556406300000116
Node-branch incidence matrix of three phases of active power distribution network
Figure FDA00004556406300000117
The element of-1 constitutes an AND matrix
Figure FDA0000455640630000021
Same-dimension terminal branch incidence matrix
Figure FDA0000455640630000022
(4) Combining the above matrix
Figure FDA0000455640630000023
Matrix array
Figure FDA0000455640630000024
Matrix array
Figure FDA0000455640630000025
Sum matrix
Figure FDA0000455640630000026
Introducing the active power distribution network power flow equation in the step (2) to obtain the following active power distribution network power flow equation:
Figure FDA0000455640630000027
Figure FDA0000455640630000028
wherein,
Figure FDA0000455640630000029
and
Figure FDA00004556406300000210
column vectors of active power and reactive power at the beginning of a branch in the active power distribution network respectively,and
Figure FDA00004556406300000212
respectively net injecting active power and reactive power column vectors into nodes in the active power distribution network,
Figure FDA00004556406300000213
is a branch resistance matrix of three phases of an active power distribution network,
Figure FDA00004556406300000214
is a branch reactance matrix of three phases of an active power distribution network,
Figure FDA00004556406300000215
the method comprises the following steps that node voltage column vectors of three phases of an active power distribution network are multiplied and divided by corresponding elements of two vectors;
(5) transforming the power flow equation of the step (4) into the following form:
Figure FDA00004556406300000216
Figure FDA00004556406300000217
Figure FDA00004556406300000218
Figure FDA00004556406300000219
wherein,
Figure FDA00004556406300000220
the vector of the square term of the node voltage in the active power distribution network,
Figure FDA00004556406300000221
is a vector of a branch current amplitude squared term in the active power distribution network,
Figure FDA00004556406300000222
real, imag, T are respectively real part, imaginary part, conjugate and transposition of the corresponding element;
(6) establishing node net injection power column vector in active power distribution network
Figure FDA00004556406300000223
Andthe power constraint of node i in (1) is:
wherein,and
Figure FDA00004556406300000228
respectively three-phase active power and three-phase reactive power of the distributed power supply connected with a node i in the active power distribution network,and
Figure FDA00004556406300000230
three-phase active power and three-phase reactive power of loads connected to a node i in the active distribution network,
Figure FDA00004556406300000231
the three-phase reactive power of the reactive power compensation device connected to the node i in the active power distribution network,
Figure FDA00004556406300000232
for each phase active power of the distributed power supply cut off at the node i after the power of the active power distribution network is congested,active power of each phase of a load cut off from a node i after the power of the active power distribution network is congested;
(7) establishing safe voltage constraints for node i of an active power distribution network
Figure FDA0000455640630000031
Wherein,the amplitude of each phase voltage of the node i in the active power distribution network is squared,
Figure FDA0000455640630000033
and
Figure FDA0000455640630000034
the upper limit value and the lower limit value are the square of the amplitude of each phase voltage of a node i in the active power distribution network;
(8) establishing safe current constraints for branches ij of an active power distribution network
Figure FDA0000455640630000035
Wherein,for the square of the phase current amplitude of the active distribution network branch ij,
Figure FDA0000455640630000037
the upper limit value of the square of each phase current amplitude of the active power distribution network branch ij;
(9) establishing power constraint of a root node of a distribution transformer of the active power distribution network as follows:
Figure FDA0000455640630000039
wherein,
Figure FDA00004556406300000310
to flow three-phase active power from the distribution transformer root node into the active distribution grid,
Figure FDA00004556406300000311
the lower limit value and the upper limit value of the three-phase active power of the root node of the distribution transformer are respectively set for the active distribution network dispatching center,
Figure FDA00004556406300000312
for three-phase reactive power to flow from the distribution transformer root node into the active distribution grid,
Figure FDA00004556406300000313
respectively setting a lower limit value and an upper limit value of each phase of reactive power of a root node of a distribution transformer for an active distribution network dispatching center;
(10) establishing operation constraints of a distributed power supply in an active power distribution network as follows:
Figure FDA00004556406300000314
Figure FDA00004556406300000315
Figure FDA00004556406300000316
Figure FDA00004556406300000317
wherein,
Figure FDA00004556406300000318
the current value of the active power of the distributed power source connected to the node i in the active power distribution network,
Figure FDA00004556406300000319
is a predicted value of the active power of the distributed power supply connected to the node i in the active power distribution network,
Figure FDA00004556406300000320
the current value of the reactive power of the distributed power source connected to the node i in the active power distribution network,
Figure FDA00004556406300000321
the method is used for predicting the reactive power of the distributed power supply connected to the node i in the active power distribution network,
Figure FDA00004556406300000322
the power factor angle of a distributed power supply in an active power distribution network;
(11) and (3) solving the branch power congestion control objective function of the active power distribution network in the step (1) by adopting a nonlinear programming method according to the load flow equation in the step (5) and the operation constraints of the active power distribution network in the steps (6) to (10) to obtain active power of each phase of the distributed power supply and the load removed after the branch power of the active power distribution network is congested, and realizing the real-time control of the branch power congestion of the active power distribution network.
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