CN103715701A - Active power distribution network reactive power control method with limitation to number of operating times of capacitor taken into account - Google Patents

Active power distribution network reactive power control method with limitation to number of operating times of capacitor taken into account Download PDF

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CN103715701A
CN103715701A CN201310744994.3A CN201310744994A CN103715701A CN 103715701 A CN103715701 A CN 103715701A CN 201310744994 A CN201310744994 A CN 201310744994A CN 103715701 A CN103715701 A CN 103715701A
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distribution network
power distribution
active power
active
power
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CN103715701B (en
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吴文传
张伯明
孙宏斌
刘一兵
郭昆亚
王英男
黄哲洙
郭庆来
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Tsinghua University
State Grid Corp of China SGCC
Shenyang Power Supply Co of State Grid Liaoning Electric Power Co Ltd
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Tsinghua University
State Grid Corp of China SGCC
Shenyang Power Supply Co of State Grid Liaoning Electric Power Co Ltd
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Abstract

The invention relates to an active power distribution network reactive power control method with limitation to the number of operating times of a capacitor taken into account, and belongs to the technical field of operation and control of an electric power system. The method includes the steps that a three-phase branch trend equation of an active power distribution network is provided, a reactive power control objective function is established, and various actual restraints are comprehensively taken into account; a second order cone slack technology is utilized to handle a reactive power control problem; eventually a second order cone programming algorithm is utilized to conduct calculation to acquire reactive power control values and operating moments of a disperse reactive compensation device, the capacitor, a continuous reactive compensation device and a distributed power supply, and therefore active power distribution network reactive power control with the limitation to the number of the operating times of the capacitor taken into account is achieved. The method can be used for radial and annular active power distribution network reactive power control with the limitation to the number of the operating times of the capacitor taken into account, and control accuracy is high. The second order cone slack technology and the second order cone programming algorithm are adopted, and therefore both optimality and solve efficiency of active power distribution network reactive power control are greatly improved.

Description

Consider the active power distribution network Reactive Power Control method of capacitor number of operations restriction
Technical field
The present invention relates to a kind of active power distribution network Reactive Power Control method of considering the restriction of capacitor number of operations, belong to power system operation and control technology field.
Background technology
In recent years, the permeability of distributed power generation in power distribution network (Distributed Generation, DG), energy storage device and reactive power compensator improves gradually, and traditional power distribution network progressively becomes adjustable controlled active power distribution network.In electrical network daily management, time the load power and the photovoltaic predicted power that become go out under force data, be in the face of a lot of challenges:
1,, in power distribution network Reactive Power Control problem, except the continuous variables such as continuously adjustable distributed power source reactive power, Continuous Var Compensation device reactive power, also want the discrete variables such as reactive power of control packet switched capacitor.
2, in service in actual electric network, in dispatching cycle, to the frequent unordered operation of capacitor, not only can increase operating personnel's workload, also can cause voltage big ups and downs, increase initiatively power distribution network active power loss, reduce capacitor useful life.
3, about this nonconvex programming problem of dynamic reactive power optimal control containing discrete variable, the direct rounding method of currently used heuristic two-phase method and discrete variable all can impact the optimality of equality constraint and target function, still lacks a kind of method for solving that can strictly take into account in theory the optimality of solution and calculate high efficiency.
4, the non-complete mutually grid-connected asymmetric equipment such as distributed power source are increasing, this makes the characteristic increasingly significants such as the intrinsic three-phase load of power distribution network is uneven, line parameter circuit value is asymmetric, meritorious idle not decoupling zero, therefore initiatively power distribution network to adopt three-phase model to carry out Reactive Power Control be common recognition.
Summary of the invention
The object of the invention is to propose a kind of active power distribution network Reactive Power Control method of considering the restriction of capacitor number of operations, set up the initiatively Three-phase Power Flow model of power distribution network dynamic operation, introduce second order cone relaxing techniques and process former problem, consider the initiatively operation constraint of power distribution network, to realize the active power distribution network Reactive Power Control of considering the restriction of capacitor number of operations.
The active power distribution network Reactive Power Control method of the consideration capacitor number of operations restriction that the present invention proposes, comprises the following steps:
(1) setting up initiatively power distribution network Reactive Power Control target function is:
Figure BDA0000450265720000021
Wherein, footnote represent the initiatively A of power distribution network, B, C three-phase,
Figure BDA0000450265720000023
be respectively active Distributed Generation in Distribution System, Continuous Var Compensation device, discrete reactive power compensator in t actual reactive power constantly, T is the moment number in active power distribution network control cycle,
Figure BDA0000450265720000024
for the line resistance of active power distribution network,
Figure BDA0000450265720000025
branch current amplitude for branch road ij in t moment active power distribution network;
(2) set up the initiatively three-phase branch road form power flow equation of power distribution network:
Power flow equation for the node j in active power distribution network is:
Figure BDA0000450265720000027
Power flow equation for the branch road ij in active power distribution network is:
Figure BDA0000450265720000028
Wherein,
Figure BDA0000450265720000029
be respectively initiatively three phases active power and the three phase reactive power of power distribution network ij branch road head end, i:i → j represents to point in active power distribution network the set of node i of node j,
Figure BDA00004502657200000210
be respectively three-phase branch road resistance and the three-phase branch road reactance matrix of ij branch road in active power distribution network,
Figure BDA00004502657200000211
the three phases active power and the clean injection rate of three phase reactive power that are respectively node j in active power distribution network, its expression formula is:
Figure BDA00004502657200000212
Wherein,
Figure BDA00004502657200000214
with
Figure BDA00004502657200000215
be respectively three phases active power and the three phase reactive power of the distributed power source connecting on node j in active power distribution network,
Figure BDA00004502657200000216
with
Figure BDA00004502657200000217
for three phases active power and the three phase reactive power of the load that connects on node j in active power distribution network,
Figure BDA00004502657200000218
three phase reactive power for the reactive power compensator that connects on node j in active power distribution network;
(3) the three-phase branch road form power flow equation of above-mentioned active power distribution network is expanded to t power flow equation constantly in a control cycle:
Figure BDA0000450265720000033
Figure BDA0000450265720000034
Figure BDA0000450265720000035
(4) utilize second order cone relaxation method, the power flow equation of above-mentioned steps (3) be converted to following form:
Figure BDA0000450265720000036
Figure BDA0000450265720000037
Figure BDA0000450265720000038
Figure BDA0000450265720000039
Wherein,
Figure BDA00004502657200000310
with
Figure BDA00004502657200000311
expression formula be respectively:
Figure BDA00004502657200000312
Figure BDA00004502657200000313
the lax form of standard second order cone;
(5) setting up the initiatively safe operation of power distribution network is constrained to:
Figure BDA00004502657200000315
Wherein,
Figure BDA00004502657200000316
for node i in active power distribution network is in t each phase voltage amplitude constantly, with
Figure BDA00004502657200000318
voltage magnitude lower limit and the voltage magnitude higher limit of initiatively power distribution network,
Figure BDA0000450265720000041
for branch road ij in active power distribution network is in t branch current amplitude constantly, for branch current amplitude higher limit in active power distribution network;
(6) in foundation active power distribution network, the power constraint of distribution transformer root node is:
Figure BDA0000450265720000043
Figure BDA0000450265720000044
Wherein, for t flows into the initiatively three phases active power of power distribution network from distribution transformer root node constantly,
Figure BDA0000450265720000046
be respectively lower limit and the higher limit of the three phases active power of the distribution transformer root node that initiatively control centre of power distribution network sets,
Figure BDA0000450265720000047
for t flows into the initiatively three phase reactive power of power distribution network from distribution transformer root node constantly, respectively
Figure BDA0000450265720000048
lower limit and the higher limit of the three phase reactive power of the distribution transformer root node of setting for active power distribution network control centre;
(7) setting up initiatively grouping switching capacitor operation constraint and dispatching cycle inner capacitor number of operations in power distribution network is constrained to:
Figure BDA0000450265720000049
Figure BDA00004502657200000410
Figure BDA00004502657200000411
Figure BDA00004502657200000412
Figure BDA00004502657200000413
Figure BDA00004502657200000414
Wherein,
Figure BDA00004502657200000415
for i capacitor group in active power distribution network is at t three phase reactive power constantly,
Figure BDA00004502657200000416
for the three phase reactive power of each group of grouping switching capacitor in active power distribution network,
Figure BDA00004502657200000417
for integer variable, α is the group number of grouping switching capacitor in active power distribution network,
Figure BDA00004502657200000418
so that 0,1} switching variable, lim is a number of operations restriction that control cycle inner capacitor allows in active power distribution network;
(8) setting up Continuous Var Compensation device operation in active power distribution network is constrained to:
Figure BDA00004502657200000419
Wherein,
Figure BDA00004502657200000420
for Continuous Var Compensation device in active power distribution network is in t Reactive Power Control value constantly, with be respectively lower limit and the higher limit of Continuous Var Compensation device reactive power in active power distribution network;
(9) operation of the distributed power source in foundation active power distribution network is constrained to:
Figure BDA0000450265720000051
Figure BDA0000450265720000052
Figure BDA0000450265720000053
Wherein
Figure BDA0000450265720000054
for active Distributed Generation in Distribution System is in t active power controlling value constantly, for active Distributed Generation in Distribution System is in t active power predicted value constantly,
Figure BDA0000450265720000056
for active Distributed Generation in Distribution System is in t Reactive Power Control value constantly,
Figure BDA0000450265720000057
for active Distributed Generation in Distribution System is in t reactive power predicted value constantly,
Figure BDA0000450265720000058
for power-factor angle.
(10) adopt second order cone planing method, according to the operation constraint of the active power distribution network of the power flow equation of above-mentioned steps (4) and step (5)～step (9), active power distribution network dynamic reactive power Controlling object function to above-mentioned steps (1) solves, obtain initiatively Distributed Generation in Distribution System, Continuous Var Compensation transposition and grouping switching capacitor group three phase reactive power value and the control moment in a control cycle, realize the dynamic control to active power distribution network reactive power.
The active power distribution network Reactive Power Control method of the consideration capacitor number of operations restriction that the present invention proposes, its advantage is:
1, the inventive method has been set up the initiatively three-phase model of power distribution network, can be used for active power distribution network the Reactive Power Control radial and restriction of ring-type consideration capacitor number of operations.
2, the inventive method has been considered the split-phase reactive power control of Continuous Var Compensation device, discrete reactive power compensator and distributed power source, contains all adjustable device in active power distribution network, and control accuracy is higher.
3, the inventive method has been considered the number of operations restriction of capacitor, avoids the blindly regular destruction to operation constraint in active power distribution network Reactive Power Control.
4, the inventive method has adopted second order cone relaxing techniques and second order cone planning algorithm, makes to consider that optimality and the solution efficiency of the active power distribution network Reactive Power Control of capacitor number of operations restriction all improves a lot.
Accompanying drawing explanation
Figure 1 shows that the structural representation of the active power distribution network relating in the active power distribution network Reactive Power Control method that the present invention proposes.
Embodiment
The active power distribution network Reactive Power Control method of the consideration capacitor number of operations restriction that the present invention proposes, comprises the following steps:
(1) setting up initiatively power distribution network Reactive Power Control target function is:
Figure BDA0000450265720000061
Wherein, footnote
Figure BDA0000450265720000062
represent the initiatively A of power distribution network, B, C three-phase,
Figure BDA0000450265720000063
be respectively active Distributed Generation in Distribution System, Continuous Var Compensation device, discrete reactive power compensator in t actual reactive power constantly, target function is intended to make all branch energy losses of the whole network in a complete control cycle to minimize, T is the moment number in active power distribution network control cycle, for example using sky as control cycle, within every 15 minutes, being one controls constantly, the moment number in a control cycle is T=96
Figure BDA0000450265720000064
for the line resistance of active power distribution network, branch current amplitude for branch road ij in t moment active power distribution network;
(2) set up the initiatively three-phase branch road form power flow equation of power distribution network, the structure of the active power distribution network relating to as shown in Figure 1,
Power flow equation for the node j in active power distribution network is:
Power flow equation for the branch road ij in active power distribution network is:
Figure BDA0000450265720000069
Wherein, be respectively initiatively three phases active power and the three phase reactive power of power distribution network ij branch road head end, i:i → j represents to point in active power distribution network the set of node i of node j,
Figure BDA00004502657200000611
be respectively three-phase branch road resistance and the three-phase branch road reactance matrix of ij branch road in active power distribution network,
Figure BDA00004502657200000612
the three phases active power and the clean injection rate of three phase reactive power that are respectively node j in active power distribution network, its expression formula is
Figure BDA00004502657200000614
Wherein, with
Figure BDA00004502657200000616
be respectively three phases active power and the three phase reactive power of the distributed power source connecting on node j in active power distribution network,
Figure BDA00004502657200000617
with
Figure BDA00004502657200000618
for three phases active power and the three phase reactive power of the load that connects on node j in active power distribution network, for the three phase reactive power of the reactive power compensator that connects on node j in active power distribution network, reactive power compensator can be grouping switching capacitor, Continuous Var Compensation device etc.
(3) needs of controlling according to active power distribution network dynamic reactive power, expand to t power flow equation constantly in a control cycle by the three-phase branch road form power flow equation of above-mentioned active power distribution network:
Figure BDA0000450265720000072
Figure BDA0000450265720000073
Figure BDA0000450265720000075
Figure BDA0000450265720000076
Wherein, t represents that t in a control cycle of power distribution network dynamic reactive power initiatively constantly;
(4) utilize second order cone relaxation method, the power flow equation of above-mentioned steps (2) be converted to following form:
Figure BDA0000450265720000078
Figure BDA0000450265720000079
Figure BDA00004502657200000710
Wherein,
Figure BDA00004502657200000711
with
Figure BDA00004502657200000712
expression formula be respectively:
Figure BDA00004502657200000713
Figure BDA00004502657200000714
Figure BDA00004502657200000715
the lax form of standard second order cone;
(5) initiatively the safe operation of power distribution network is constrained to:
Figure BDA0000450265720000081
Wherein,
Figure BDA0000450265720000082
for node i in active power distribution network is in t each phase voltage amplitude constantly,
Figure BDA0000450265720000083
with
Figure BDA0000450265720000084
voltage magnitude lower limit and the voltage magnitude higher limit of initiatively power distribution network,
Figure BDA0000450265720000085
for branch road ij in active power distribution network is in t branch current amplitude constantly,
Figure BDA0000450265720000086
for branch current amplitude higher limit in active power distribution network;
(6) in active power distribution network, the power constraint of distribution transformer root node is:
For the impact on power transmission network of the power fluctuation that suppresses power distribution network distribution transformer root node initiatively, the power constraint of active power distribution network distribution transformer root node need to be taken into account, initiatively the power constraint of power distribution network distribution transformer root node is:
Figure BDA0000450265720000087
Figure BDA0000450265720000088
Wherein,
Figure BDA0000450265720000089
for t flows into the initiatively three phases active power of power distribution network from distribution transformer root node constantly,
Figure BDA00004502657200000810
be respectively lower limit and the higher limit of the three phases active power of the distribution transformer root node that initiatively control centre of power distribution network sets,
Figure BDA00004502657200000811
for t flows into the initiatively three phase reactive power of power distribution network from distribution transformer root node constantly, respectively
Figure BDA00004502657200000812
lower limit and the higher limit of the three phase reactive power of the distribution transformer root node of setting for active power distribution network control centre;
(7) initiatively in power distribution network grouping switching capacitor operation constraint and dispatching cycle inner capacitor number of operations be constrained to: subdivided capacitor switching state is discrete decision variable:
Figure BDA00004502657200000813
Figure BDA00004502657200000814
Figure BDA00004502657200000815
Figure BDA00004502657200000816
Figure BDA00004502657200000817
Figure BDA00004502657200000818
Wherein, for i capacitor group in active power distribution network is at t three phase reactive power constantly, for the three phase reactive power of each group of grouping switching capacitor in active power distribution network, for integer variable, α is the group number of grouping switching capacitor in active power distribution network,
Figure BDA00004502657200000822
so that 0,1} switching variable, lim is a number of operations restriction that control cycle inner capacitor allows in active power distribution network;
(8) in active power distribution network, the operation of Continuous Var Compensation device is constrained to:
Above formula has reflected the power dynamic reactive power compensation constraint of independent adjustable compensation arrangement (as Continuous Var Compensation device etc.) continuously.Wherein, for Continuous Var Compensation device in active power distribution network is in t Reactive Power Control value constantly,
Figure BDA0000450265720000093
with be respectively lower limit and the higher limit of Continuous Var Compensation device reactive power in active power distribution network;
(9) operation of the distributed power source in foundation active power distribution network is constrained to:
Figure BDA0000450265720000095
Figure BDA0000450265720000097
According to typical document, distributed power source is grid-connected by power electronic equipment or conventional electric rotating machine interface, and its grid-connected power can have been realized meritorious idle independent regulation respectively, for making full use of distributed clean energy resource, in the present invention, adopt PQ type during distributed power source steady operation, operational mode is set as maximum power tracing (MPPT) pattern, wherein
Figure BDA0000450265720000098
for active Distributed Generation in Distribution System is in t active power controlling value constantly,
Figure BDA0000450265720000099
for active Distributed Generation in Distribution System is in t active power predicted value constantly, for active Distributed Generation in Distribution System is in t Reactive Power Control value constantly,
Figure BDA00004502657200000911
for active Distributed Generation in Distribution System is in t reactive power predicted value constantly, for power-factor angle.
So far, in this model, when control variables is Distributed Generation in Distribution System initiatively, discrete and Continuous Var Compensation device, become each reactive power that puts into operation mutually
Figure BDA00004502657200000913
this is a typical MIXED INTEGER Nonlinear Nonconvex planning problem, belongs to a NP difficult problem.
(10) adopt second order cone planing method, according to the operation constraint of the active power distribution network of the power flow equation of above-mentioned steps (4) and step (5)～step (9), active power distribution network dynamic reactive power Controlling object function to above-mentioned steps (1) solves, obtain initiatively Distributed Generation in Distribution System, Continuous Var Compensation transposition and grouping switching capacitor group three phase reactive power value and the control moment in a control cycle, realize the dynamic control to active power distribution network reactive power.

Claims (1)

1. an active power distribution network Reactive Power Control method of considering the restriction of capacitor number of operations, is characterized in that this control method comprises the following steps:
(1) setting up initiatively power distribution network Reactive Power Control target function is:
Figure FDA0000450265710000011
Wherein, footnote
Figure FDA0000450265710000012
represent the initiatively A of power distribution network, B, C three-phase,
Figure FDA0000450265710000013
be respectively active Distributed Generation in Distribution System, Continuous Var Compensation device, discrete reactive power compensator in t actual reactive power constantly, T is the moment number in active power distribution network control cycle,
Figure FDA0000450265710000014
for the line resistance of active power distribution network, branch current amplitude for branch road ij in t moment active power distribution network;
(2) set up the initiatively three-phase branch road form power flow equation of power distribution network:
Power flow equation for the node j in active power distribution network is:
Figure FDA0000450265710000016
Power flow equation for the branch road ij in active power distribution network is:
Figure FDA0000450265710000018
Wherein, be respectively initiatively three phases active power and the three phase reactive power of power distribution network ij branch road head end, i:i → j represents to point in active power distribution network the set of node i of node j, be respectively three-phase branch road resistance and the three-phase branch road reactance matrix of ij branch road in active power distribution network,
Figure FDA00004502657100000111
the three phases active power and the clean injection rate of three phase reactive power that are respectively node j in active power distribution network, its expression formula is:
Figure FDA0000450265710000021
Wherein,
Figure FDA0000450265710000022
with
Figure FDA0000450265710000023
be respectively three phases active power and the three phase reactive power of the distributed power source connecting on node j in active power distribution network,
Figure FDA0000450265710000024
with
Figure FDA0000450265710000025
for three phases active power and the three phase reactive power of the load that connects on node j in active power distribution network,
Figure FDA0000450265710000026
three phase reactive power for the reactive power compensator that connects on node j in active power distribution network;
(3) the three-phase branch road form power flow equation of above-mentioned active power distribution network is expanded to t power flow equation constantly in a control cycle:
Figure FDA0000450265710000027
Figure FDA0000450265710000028
Figure FDA0000450265710000029
Figure FDA00004502657100000210
(4) utilize second order cone relaxation method, the power flow equation of above-mentioned steps (2) be converted to following form:
Figure FDA00004502657100000212
Figure FDA00004502657100000213
Figure FDA00004502657100000214
Figure FDA00004502657100000215
Wherein, with expression formula be respectively:
Figure FDA00004502657100000218
Figure FDA00004502657100000219
Figure FDA0000450265710000031
the lax form of standard second order cone;
(5) setting up the initiatively safe operation of power distribution network is constrained to:
Figure FDA0000450265710000032
Wherein,
Figure FDA0000450265710000033
for node i in active power distribution network is in t each phase voltage amplitude constantly,
Figure FDA0000450265710000034
with
Figure FDA0000450265710000035
voltage magnitude lower limit and the voltage magnitude higher limit of initiatively power distribution network,
Figure FDA0000450265710000036
for branch road ij in active power distribution network is in t branch current amplitude constantly,
Figure FDA0000450265710000037
for branch current amplitude higher limit in active power distribution network;
(6) in foundation active power distribution network, the power constraint of distribution transformer root node is:
Figure FDA0000450265710000038
Wherein,
Figure FDA00004502657100000310
for t flows into the initiatively three phases active power of power distribution network from distribution transformer root node constantly,
Figure FDA00004502657100000311
be respectively lower limit and the higher limit of the three phases active power of the distribution transformer root node that initiatively control centre of power distribution network sets, for t flows into the initiatively three phase reactive power of power distribution network from distribution transformer root node constantly, respectively
Figure FDA00004502657100000313
lower limit and the higher limit of the three phase reactive power of the distribution transformer root node of setting for active power distribution network control centre;
(7) setting up initiatively grouping switching capacitor operation constraint and dispatching cycle inner capacitor number of operations in power distribution network is constrained to:
Figure FDA00004502657100000314
Figure FDA00004502657100000315
Figure FDA00004502657100000318
Wherein, for i capacitor group in active power distribution network is at t three phase reactive power constantly, for the three phase reactive power of each group of grouping switching capacitor in active power distribution network,
Figure FDA00004502657100000322
for integer variable, α is the group number of grouping switching capacitor in active power distribution network,
Figure FDA00004502657100000323
so that 0,1} switching variable, lim is a number of operations restriction that control cycle inner capacitor allows in active power distribution network;
(8) setting up Continuous Var Compensation device operation in active power distribution network is constrained to:
Figure FDA0000450265710000041
Wherein,
Figure FDA0000450265710000042
for Continuous Var Compensation device in active power distribution network is in t Reactive Power Control value constantly,
Figure FDA0000450265710000043
with
Figure FDA0000450265710000044
be respectively lower limit and the higher limit of Continuous Var Compensation device reactive power in active power distribution network;
(9) operation of the distributed power source in foundation active power distribution network is constrained to:
Figure FDA0000450265710000045
Figure FDA0000450265710000046
Figure FDA0000450265710000047
Wherein
Figure FDA0000450265710000048
for active Distributed Generation in Distribution System is in t active power controlling value constantly, for active Distributed Generation in Distribution System is in t active power predicted value constantly,
Figure FDA00004502657100000410
for active Distributed Generation in Distribution System is in t Reactive Power Control value constantly,
Figure FDA00004502657100000411
for active Distributed Generation in Distribution System is in t reactive power predicted value constantly,
Figure FDA00004502657100000412
for power-factor angle.
(10) adopt second order cone planing method, according to the operation constraint of the active power distribution network of the power flow equation of above-mentioned steps (4) and step (5)～step (9), active power distribution network dynamic reactive power Controlling object function to above-mentioned steps (1) solves, obtain initiatively Distributed Generation in Distribution System, Continuous Var Compensation transposition and grouping switching capacitor group three phase reactive power value and the control moment in a control cycle, realize the dynamic control to active power distribution network reactive power.
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CN112421622A (en) * 2020-11-12 2021-02-26 国网河北省电力有限公司电力科学研究院 Reactive voltage real-time control method and related device
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