CN112421623B - Reactive voltage control method applied to power distribution network and related device - Google Patents

Reactive voltage control method applied to power distribution network and related device Download PDF

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CN112421623B
CN112421623B CN202011258434.3A CN202011258434A CN112421623B CN 112421623 B CN112421623 B CN 112421623B CN 202011258434 A CN202011258434 A CN 202011258434A CN 112421623 B CN112421623 B CN 112421623B
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voltage control
reactive voltage
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network
control model
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CN112421623A (en
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李安昌
胡文平
李铁成
李晓明
于腾凯
戎士洋
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Hebei Electric Power Co Ltd
State Grid Hebei Energy Technology Service Co Ltd
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Hebei Electric Power Co Ltd
State Grid Hebei Energy Technology Service Co Ltd
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/04Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/12Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
    • H02J3/16Circuit 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
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/10Power transmission or distribution systems management focussing at grid-level, e.g. load flow analysis, node profile computation, meshed network optimisation, active network management or spinning reserve management
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • YGENERAL 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/30Reactive power compensation

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Abstract

The application provides a reactive voltage control method and a related device applied to a power distribution network, and relates to the technical field of power system control, wherein the reactive voltage control method comprises the following steps: dividing the power distribution network into more than one sub-network; respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and more than one sub-network; constructing a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model and the relation among the subnets in more than one subnet; calculating to obtain an optimal value of a reactive voltage control parameter based on the final reactive voltage control model; and performing reactive voltage control on the power distribution network based on the optimal value. Based on the technical scheme of the application, the calculating speed of the reactive voltage control method can be effectively increased.

Description

Reactive voltage control method applied to power distribution network and related device
Technical Field
The application relates to the technical field of power system control, in particular to a reactive voltage control method applied to a power distribution network and a related device.
Background
With the development of the times, a large number of new energy power generation sources and various loads are connected to the power distribution network, so that the power distribution network can maintain the normal operation of the power distribution network only by correspondingly configuring a large number of reactive voltage control devices (such as an on-load tap changer, a group switching capacitor, a distributed power inverter and the like).
At present, a reactive voltage control model with multiple time scales exists, the reactive voltage control model considers the problem of the time scales, however, when the reactive voltage control model regulates and controls each reactive voltage control device, the calculated amount can increase exponentially along with the increase of the reactive voltage control devices, a dimension disaster problem caused by too many variables in the calculating process is easy to generate, and the calculating speed in the reactive voltage control process is seriously influenced.
Disclosure of Invention
The application provides a reactive voltage control method and a related device applied to a power distribution network, which can effectively improve the calculation speed of the reactive voltage control method.
In order to achieve the above technical effect, a first aspect of the present application provides a reactive voltage control method applied to a power distribution network, including:
dividing the power distribution network into more than one sub-network;
respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and the more than one sub-networks;
constructing a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model and the relation among the subnets in the one or more subnets;
calculating to obtain an optimal value of a reactive voltage control parameter based on the final reactive voltage control model;
and performing reactive voltage control on the power distribution network based on the optimal value.
Based on the first aspect of the present application, in a first possible implementation manner, the dividing the power distribution network into more than one sub-network includes:
determining a branch circuit containing an on-load tap changer in a power distribution network as a target branch circuit;
and disconnecting the power distribution network from each target branch so as to divide the power distribution network into more than one sub-network.
Based on the first possible implementation manner of the first aspect of the present application, in a second possible implementation manner, the building a final reactive voltage control model based on the second-order cone relaxation method, the subnet reactive voltage control model, and a relationship among subnets in the one or more subnets includes:
constructing a second-order cone planning reactive voltage control model based on a second-order cone relaxation method and the subnet reactive voltage control model;
planning a reactive voltage control model based on an augmented Lagrange method and the second-order cone, and constructing a final reactive voltage control model by taking the relation among the subnets as consistency constraint;
the above calculating the optimal value of the reactive voltage control parameter based on the final reactive voltage control model includes:
and calculating the final reactive voltage control model based on an ADMM algorithm to obtain the optimal value of the reactive voltage control parameter.
Based on the first aspect of the present application or the first or second possible implementation manner of the first aspect of the present application, in a third possible implementation manner, the respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and the one or more sub-networks includes:
and respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model, the more than one sub-networks and the model prediction control method.
This application second aspect provides a be applied to reactive voltage control device of distribution network, includes:
the dividing unit is used for dividing the power distribution network into more than one sub-network;
the first construction unit is used for respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and the sub-networks;
a second constructing unit, configured to construct a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model, and a relationship between subnets in the one or more subnets;
a calculating unit, configured to calculate an optimal value of the reactive voltage control parameter based on the final reactive voltage control model;
and the control unit is used for carrying out reactive voltage control on the power distribution network based on the optimal value.
Based on the second aspect of the present application, in a first possible implementation manner, the dividing unit is specifically configured to:
determining a branch circuit containing an on-load tap changer in a power distribution network as a target branch circuit;
and disconnecting the power distribution network from each target branch so as to divide the power distribution network into more than one sub-network.
Based on the first possible implementation manner of the second aspect of the present application, in a second possible implementation manner, the second constructing unit is specifically configured to:
constructing a second-order cone planning reactive voltage control model based on the second-order cone relaxation device and the initial subnet reactive voltage control model;
planning a reactive voltage control model based on an augmented Lagrange method and the second-order cone, and constructing a final reactive voltage control model by taking the relation among the more than one subnets as consistency constraint;
the calculating unit is specifically configured to:
and calculating the final reactive voltage control model based on an ADMM algorithm to obtain the optimal value of the reactive voltage control parameter.
Based on the second aspect of the present application or the first or second possible implementation manner of the second aspect of the present application, in a third possible implementation manner, the first building unit is specifically configured to:
and respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model, the more than one sub-networks and the model prediction control method.
A third aspect of the present application provides a reactive voltage control apparatus applied to a power distribution network, including a memory and a processor, where the memory stores a computer program, and the processor implements the steps of the reactive voltage control method mentioned in the first aspect or any possible implementation manner of the first aspect when executing the computer program.
A fourth aspect of the present application provides a computer-readable storage medium, which stores a computer program that, when executed by a processor, implements the steps of the reactive voltage control method mentioned in the first aspect or any one of the possible implementations of the first aspect.
As can be seen from the above, in the technical scheme of the application, the power distribution network is divided into more than one sub-network; respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and more than one sub-network; constructing a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model and the relation among the subnets in more than one subnet; calculating to obtain an optimal value of a reactive voltage control parameter based on the final reactive voltage control model; and performing reactive voltage control on the power distribution network based on the optimal value. According to the technical scheme, the power distribution network is divided into the sub-networks, one model solving problem is divided into the plurality of model solving problems, so that dimension disasters are avoided when model solving is carried out, the number of variables in a single model solving problem is reduced, the total calculated amount of the reactive voltage control method is reduced, and the calculating speed of the reactive voltage control method is improved.
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In order to more clearly illustrate the technical solutions in the embodiments of the present application, the drawings needed to be used in the embodiments or the prior art descriptions will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present application, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without inventive exercise.
Fig. 1 is a schematic flowchart of an embodiment of a reactive voltage control method applied to a power distribution network according to the present application;
fig. 2 is a schematic diagram of a power distribution network division process in a specific scenario provided by the present application;
FIG. 3 is a schematic diagram illustrating a time-based progression of a rolling window in a specific scenario provided herein;
fig. 4 is a schematic structural diagram of an embodiment of a part of a network of a power distribution network in the form of a branch power flow provided in the present application;
fig. 5 is a schematic structural diagram of an embodiment of a reactive voltage control device applied to a power distribution network according to the present application;
fig. 6 is a schematic structural diagram of another embodiment of the reactive voltage control device applied to the power distribution network according to the present application.
Detailed Description
In the following description, for purposes of explanation and not limitation, specific details are set forth, such as particular system structures, techniques, etc. in order to provide a thorough understanding of the embodiments of the present application. It will be apparent, however, to one skilled in the art that the present application may be practiced in other embodiments that depart from these specific details. In other instances, detailed descriptions of well-known systems, devices, circuits, and methods are omitted so as not to obscure the description of the present application with unnecessary detail.
It will be understood that the terms "comprises" and/or "comprising," when used in this specification and the appended claims, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof.
It is also to be understood that the terminology used in the description of the present application is for the purpose of describing particular embodiments only and is not intended to be limiting of the application. As used in this specification and the appended claims, the singular forms "a", "an", and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise.
The technical solutions in the embodiments of the present application are clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are only a part of the embodiments of the present application, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present application.
In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present application, but the present application may be practiced in other ways than those described herein, and it will be apparent to those of ordinary skill in the art that the present application is not limited by the specific embodiments disclosed below.
Example one
The application provides a reactive voltage control method applied to a power distribution network, as shown in fig. 1, including:
step 101, dividing a power distribution network into more than one sub-network;
in the embodiment of the application, the power distribution network can be divided into more than one sub-network based on a preset division principle, so that the subsequent model solving problems aiming at the power distribution network are converted into a plurality of problems from one problem, and the quantity of variables in a single model solving problem is reduced.
Optionally, the dividing the power distribution network into more than one sub-network includes:
determining a branch circuit containing an on-load tap changer in a power distribution network as a target branch circuit;
and disconnecting the power distribution network from each target branch so as to divide the power distribution network into more than one sub-network.
The network division process of the power distribution network is described in a specific scenario, as shown in fig. 2, a specific process of dividing the power distribution network into more than one sub-network may be as follows (fig. 2 illustrates an example of dividing the power distribution network into two sub-networks):
target branch 101 comprises on-load tap changer 1011 capable of disconnecting said distribution network from target branch 101 to form first sub-network 102 and second sub-network 103, and end load node 1021 at the end of first sub-network 102 and head balancing node 1031 at the head end of second sub-network 103;
repeatedly executing the steps until the target branch 101 does not exist in the power distribution network;
the subnets may then be ordered by at least one more based on the number of head end balancing nodes for each subnet, and described by:
Figure BDA0002773827450000081
Figure BDA0002773827450000082
is a subnet α; n is a radical of B,α A first set of nodes being a subnet α; n is a radical of L,α A second set of nodes being a subnet α; n is a radical of hydrogen CB,α A set of capacitors being the sub-network α; n is a radical of hydrogen O,α An on-load tap changer set for the sub-network alpha; n is a radical of DG,α A distributed power supply set being a subnet α; omega is the subnet set of the distribution network.
102, respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and the more than one sub-networks;
in this embodiment, a sub-network reactive voltage control model is respectively constructed for the above sub-networks based on the branch power flow model.
Optionally, the respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and the at least one sub-network includes:
and respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model, the more than one sub-networks and the model predictive control method.
Specifically, as shown in fig. 3, in the rolling optimization of the model predictive control method, as time advances, the rolling window 301 moves backward continuously, and the time period included in the rolling window 301 also changes continuously with the backward movement of the rolling window 301, that is, the time periods included in the rolling window 301 corresponding to different times are different;
the step of respectively constructing the sub-network reactive voltage control model of each sub-network based on the branch power flow model, the more than one sub-networks and the model predictive control method comprises the following steps:
constructing power balance constraints of nodes of the power distribution network:
Figure BDA0002773827450000091
Figure BDA0002773827450000092
/>
in the formulae (1) and (2), p ij,t The active power of the branch (i, j) at the moment t; r is ij Is the resistance of branch (i, j); i.e. i ij,t The current for branch (i, j) at time t; v. of j A set of child nodes that are node j; p is a radical of L,j,t The load active power of the node j at the moment t is obtained; p is a radical of DG,j,t The active power of the distributed power supply of the node j at the moment t; q. q.s ij,t The reactive power of the branch (i, j) at time t; x is a radical of a fluorine atom ij Is the reactance of branch (i, j); q. q of L,j,t The load reactive power of the node j at the moment t; q. q.s DG,j,t The reactive power of the distributed power supply at the time t of the node j is obtained; q. q.s CB,j,t And the reactive power of the capacitor of the node j at the moment t is shown, wherein the node j is a node in the power distribution network, and the branch (i, j) is a branch in the power distribution network.
It should be noted that, as shown in fig. 4, a part of the network of the power distribution network in the form of a branch power flow includes more than one node 401, and the node 401 may be a node accessed by a distributed power supply or a load or a capacitor or other devices, or may be a node accessed by multiple devices among the distributed power supply, the load, the capacitor and other devices at the same time.
Constructing voltage balance constraints of power distribution network branches:
Figure BDA0002773827450000103
in the formula (3), u j,t Is the voltage at node j at time t; u. of i,t Is the voltage at node i at time t; r is ij Of a branch (i, j)A resistance; x is the number of ij Is the reactance of branch (i, j); i all right angle ij,t The current for branch (i, j) at time t; p is a radical of ij,t The active power of the branch (i, j) at the moment t; q. q.s ij,t The reactive power of branch (i, j) at time t.
Constructing the apparent power constraint of the power distribution network branch:
Figure BDA0002773827450000101
in the formula (4), u i,t Is the voltage at node i at time t.
Constructing a power distribution network safe operation constraint:
u j,min ≤u j ≤u j,max (5)
-i ij,max ≤i ij ≤i ij,max (6)
in formulae (5) and (6), u j Is the voltage at node j; u. of j,min Is the minimum voltage of node j; u. of j,max Is the maximum voltage of node j; i.e. i ij,max Is the maximum current drawn by branch (i, j).
Constructing reactive power constraints for capacitors in a power distribution network:
q CB,j,t =n CB,j,t q CB0,j (7)
in the formula (7), n CB,j,t The input quantity of the capacitors at the time t of the node j; q. q.s CB0,j Reactive power for a single one of the capacitors that is placed at node j.
Constructing an objective function:
Figure BDA0002773827450000102
based on the constraint conditions of the formulas (1) to (7), the objective function of the formula (8), the branch power flow model and the model prediction control method, the subnet reactive voltage control model is constructed by taking the minimum operation cost of the capacitor in the power distribution network as a target:
Figure BDA0002773827450000111
Figure BDA0002773827450000112
Figure BDA0002773827450000113
/>
Figure BDA0002773827450000114
Figure BDA0002773827450000115
Figure BDA0002773827450000116
Figure BDA0002773827450000117
Figure BDA0002773827450000118
Figure BDA0002773827450000119
Figure BDA00027738274500001110
Figure BDA00027738274500001111
in the formula: s DG,j The capacity of the distributed power source being node j; t is a unit of l Is the scrolling duration at time l; Δ t is the rolling window; y is CB,j,t The input number of the capacitors of the node j at the time t is changed when the Boolean variable is 1; pi loss The unit cost is lost for the power distribution network; pi CB Is the operating cost of the capacitor; u. of 0,t To balance the voltage at the node at time t.
It should be noted that, as time goes on, due to the function of the rolling optimization based on the model predictive control method, the rolling window at the current time is constantly changing, so that the subnet reactive voltage control model is constantly changing with time.
103, constructing a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model and the relation among the subnets in the more than one subnets;
in the embodiment of the application, the subnet reactive voltage control model is converted into a second-order cone planning reactive voltage control model based on a second-order cone relaxation method, and a final reactive voltage control model is constructed based on the second-order cone planning reactive voltage control model and constraints of relationships between subnets in more than one subnet.
104, calculating to obtain an optimal value of a reactive voltage control parameter based on the final reactive voltage control model;
in this embodiment of the application, based on the solution to above-mentioned final reactive voltage control model to obtain the optimal value of reactive voltage control parameter, wherein, the optimal value of above-mentioned reactive voltage control parameter can be used to control each reactive voltage control equipment on the distribution network, and wherein, above-mentioned reactive voltage control equipment can include: one or more of a capacitor, an inverter of a distributed power supply, which may be a photovoltaic power supply, a wind power supply, a hydroelectric power supply, or other type of distributed power supply, and an on-load tap changer.
Optionally, the constructing a final reactive voltage control model based on the second-order cone relaxation method, the subnet reactive voltage control model, and the relationship among the subnets in the one or more subnets includes:
constructing a second-order cone planning reactive voltage control model based on a second-order cone relaxation method and the subnet reactive voltage control model;
planning a reactive voltage control model based on an augmented Lagrange method and the second-order cone, and constructing a final reactive voltage control model by taking the relation among the subnets as consistency constraint;
the above calculating the optimal value of the reactive voltage control parameter based on the final reactive voltage control model includes:
and calculating the final reactive voltage control model based on an ADMM algorithm (alternating direction multiplier method) to obtain an optimal value of the reactive voltage control parameter.
Specifically, the building of the second-order cone planning reactive voltage control model based on the second-order cone relaxation method and the subnet reactive voltage control model includes:
make it
Figure BDA0002773827450000131
Equations (1), (2), (3), (4), (5) and (6) in the constraint conditions of the above subnet reactive voltage control model are converted into equations (10), (11), (12), (13), (14) and (15), respectively, as follows:
Figure BDA0002773827450000132
Figure BDA0002773827450000133
Figure BDA0002773827450000134
Figure BDA0002773827450000135
Figure BDA0002773827450000136
Figure BDA0002773827450000137
in formulae (10), (11), (12), (13), (14) and (15), U j,t Is the square of the voltage at node j at time t, I ij,t Is the square of the current of branch (i, j) at time t;
relaxing equation (14) to equation (16) is as follows:
Figure BDA0002773827450000138
converting the target function equation (8) of the subnet reactive voltage control model into equation (17) as follows:
Figure BDA0002773827450000139
based on the constraint conditions of the above equations (7), (10), (11), (12), (13), (15) and (16), the objective function of the equation (17), and the above subnet reactive voltage control model, a second order cone programming reactive voltage control model is constructed as follows:
Figure BDA0002773827450000141
in formula (18), U 0,t The square of the voltage at the balancing node at time t.
The step of constructing the final reactive voltage control model based on the augmented lagrange method and the second-order cone planning reactive voltage control model by using the relationship among the subnets as consistency constraint comprises the following steps:
as shown in fig. 2, each of the one or more subnets includes one or more end load nodes 1021 and/or one or more head end balancing nodes 1031;
constructing consistency constraints based on the relationship among the subnets as follows:
p i*,t =p j*,t (19)
q i*,t =q j*,t (20)
u i*,t =u j*,t (21)
in the formulas (19), (20) and (21), the node i and the node j are a set of end load node and head balance node, respectively, p, corresponding to each other i*,t For node i the outgoing active power at time t, p j*,t Injected active power, q, at time t for node j i*,t For node i the reactive power flowing out at time t, q j*,t For node j the reactive power injected at time t, u i*,t For node i the voltage at time t, u j*,t The voltage at node j at time t.
Equation (20) is expanded as:
Figure BDA0002773827450000151
based on the disjunctive planning idea, equation (22) is linearized as:
Figure BDA0002773827450000152
/>
make it
Figure BDA0002773827450000153
The consistency constraint is constructed based on equation (23) as follows:
Figure BDA0002773827450000154
in the formulae (22), (23) and (24),
Figure BDA0002773827450000155
is a linearized variable; b ij,t,s Is a boolean variable that when 1 indicates that the branch (i,j) The on-load tap changing transformer selects a tap position s at the moment t; n is a radical of step,ij A set of taps of on-load tap changers for branch (i, j); k is a radical of ij,s And the on-load tap changing transformer of the branch (i, j) has a transformation ratio when the position of a tap is s.
Based on an augmented Lagrange method, converting the consistency constraint conditions of the equations (19) to (24) into a penalty function to be added into the equation (18) in a superposition manner so as to construct a final reactive voltage control model which has the lowest operation cost of the on-load tap changer and contains the consistency constraint among the sub-networks of the power distribution network, wherein the final reactive voltage control model comprises the following steps:
Figure BDA0002773827450000161
/>
in the formula (25), n O For operating costs of on-load tap changers, λ p,t Lagrange multiplier, λ, constrained by active power consistency q,t Lagrange multiplier, lambda, for consistency constraint of reactive power U,t Lagrange multipliers, j, constrained by the uniformity of the voltage α And p is an iteration step size for a head-end node of the subnet alpha.
It should be noted that the final reactive voltage control model is a mixed integer quadratic programming model.
The calculating the final reactive voltage control model based on the ADMM algorithm to obtain the optimal value of the reactive voltage control parameter includes:
initializing lambda p,t 、λ q,t 、λ U,t And p is zero, then solving the final reactive voltage control model of the first subnet in the more than one subnets after sequencing to obtain consistency variables (such as the input quantity of capacitors in the subnet, the reactive power of the distributed power supply, the voltage of the head end node, the active power of the tail end load node and/or the head end balance node, the reactive power of the tail end load node and/or the head end balance node, the voltage of the tail end load node and/or the head end balance node and the like), and transmitting the consistency variables to the consistency variables of the next subnetIn the final reactive voltage control model;
the iterative formula is as follows:
λ p,t,h+1 =λ p,t,h +ρ(p i*,t,h -p j*,t,h ) (26)
λ q,t,h+1 =λ q,t,h +ρ(q i*,t,h -q j*,t,h ) (27)
Figure BDA0002773827450000171
in the formulae (26), (27) and (28), h is the number of iteration rounds.
Each Lagrangian multiplier (i.e., λ) is updated based on equations (26), (27), and (28) p,t 、λ q,t 、λ U,t );
Sequentially solving the final reactive voltage control model for the unsolved subnets of the subnets according to the sequence of the subnets, and after the final reactive voltage control model is solved each time, returning to execute the step of updating the lagrangian multipliers based on the expressions (26), (27) and (28) and subsequent steps until the subnets of the subnets complete the solving of the final reactive voltage control model;
the accuracy judgment formula is as follows:
|p i*,t,h -p j*,t,h |<ξ (29)
|q i*,t,h -q j*,t,h |<ξ (30)
Figure BDA0002773827450000181
in equations (29), (30), and (31), ξ is a predetermined iteration precision, ξ is a positive number, and the iteration precision increases as the value of ξ is approximately small.
Judging the iteration precision based on the expressions (29), (30) and (31), if the expressions (29), (30) and (31) are not completely satisfied, returning to the step of performing the solution of the final reactive voltage control model on the first subnet in the sequenced more than one subnets and the subsequent steps so as to perform the solution of the final reactive voltage control model on the more than one subnets again, and iterating each Lagrange multiplier; and if the equations (29), (30) and (31) are all satisfied, acquiring the optimal value of the reactive voltage control parameter of each reactive voltage control device in the power distribution network output by the reactive voltage control model of each sub-network.
The above solution of the final reactive voltage control model may be based on any optimization solver (e.g., a commercial solver).
And 105, performing reactive voltage control on the power distribution network based on the optimal value.
In the embodiment of the application, a reactive voltage control strategy is determined based on the optimal value of the reactive voltage control parameter obtained in the previous step, and corresponding control is performed on each reactive voltage control device, so that the reactive voltage of each node of the power distribution network is regulated and controlled.
As can be seen from the above, in the technical scheme of the application, the power distribution network is divided into more than one sub-network; respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and more than one sub-network; constructing a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model and the relation among the subnets in more than one subnet; calculating to obtain an optimal value of a reactive voltage control parameter based on the final reactive voltage control model; and performing reactive voltage control on the power distribution network based on the optimal value. Based on the technical scheme, one model solving problem can be divided into a plurality of model solving problems in a mode of dividing the power distribution network into a plurality of subnets, so that dimension disasters are avoided when model solving is carried out, the number of variables in a single model solving problem is reduced, the total calculated amount of the reactive voltage control method is further reduced, and the calculating speed of the reactive voltage control method is improved.
Example two
The present application provides a reactive voltage control device applied to a power distribution network, as shown in fig. 5, the reactive voltage control device 50 includes:
a dividing unit 501, configured to divide the power distribution network into more than one sub-network;
a first constructing unit 502, configured to respectively construct a sub-network reactive voltage control model of each sub-network based on the branch power flow model and the above sub-networks;
a second constructing unit 503, configured to construct a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model, and a relationship between subnets in the one or more subnets;
a calculating unit 504, configured to calculate an optimal value of a reactive voltage control parameter based on the final reactive voltage control model;
and a control unit 505, configured to perform reactive voltage control on the power distribution network based on the optimal value.
Optionally, the dividing unit 501 is specifically configured to:
determining a branch comprising an on-load tap changer in the power distribution network as a target branch;
and disconnecting the power distribution network from each target branch so as to divide the power distribution network into more than one sub-network.
Further, the second constructing unit 503 is specifically configured to:
constructing a second-order cone planning reactive voltage control model based on the second-order cone relaxation device and the initial subnet reactive voltage control model;
planning a reactive voltage control model based on an augmented Lagrange method and the second-order cone, and constructing a final reactive voltage control model by taking the relation among the more than one subnets as consistency constraint;
the calculating unit 504 is specifically configured to:
and calculating the final reactive voltage control model based on an ADMM algorithm to obtain the optimal value of the reactive voltage control parameter.
Optionally, the first building unit 502 is specifically configured to:
and respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model, the more than one sub-networks and the model prediction control method.
As can be seen from the above, in the technical scheme of the application, the power distribution network is divided into more than one sub-network; respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and more than one sub-network; constructing a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model and the relation among the subnets in more than one subnet; calculating to obtain an optimal value of a reactive voltage control parameter based on the final reactive voltage control model; and performing reactive voltage control on the power distribution network based on the optimal value. Based on the technical scheme, one model solving problem can be divided into a plurality of model solving problems by dividing the power distribution network into a plurality of subnets, so that dimension disasters are avoided when model solving is carried out, the number of variables in a single model solving problem is reduced, the total calculated amount of the reactive voltage control method is reduced, and the calculating speed of the reactive voltage control method is improved.
EXAMPLE III
The present application further provides another kind of reactive voltage control device applied to a power distribution network, as shown in fig. 6, the reactive voltage control device in this embodiment of the present application includes: a memory 601, a processor 602, and a computer program stored in the memory 601 and executable on the processor 602, wherein: the memory 601 is used to store software programs and modules, the processor 602 executes various functional applications and data processing by operating the software programs and modules stored in the memory 601, and the memory 601 and the processor 602 are connected by a bus 603.
Specifically, the processor 602 implements the following steps by running the above-mentioned computer program stored in the memory 601:
dividing the power distribution network into more than one sub-network;
respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and the more than one sub-networks;
constructing a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model and the relation among the subnets in the one or more subnets;
calculating to obtain an optimal value of a reactive voltage control parameter based on the final reactive voltage control model;
and performing reactive voltage control on the power distribution network based on the optimal value.
Assuming that the foregoing is the first possible implementation manner, in a second possible implementation manner based on the foregoing first possible implementation manner, the dividing the power distribution network into more than one sub-network includes:
determining a branch circuit containing an on-load tap changer in a power distribution network as a target branch circuit;
and disconnecting the power distribution network from each target branch so as to divide the power distribution network into more than one sub-network.
In a third possible implementation manner based on the second possible implementation manner, the constructing a final reactive voltage control model based on the second-order cone relaxation method, the subnet reactive voltage control model, and the relationship among the subnets in the one or more subnets includes:
constructing a second-order cone planning reactive voltage control model based on a second-order cone relaxation method and the subnet reactive voltage control model;
planning a reactive voltage control model based on an augmented Lagrange method and the second-order cone, and constructing a final reactive voltage control model by taking the relation among the subnets as consistency constraint;
the above calculating the optimal value of the reactive voltage control parameter based on the final reactive voltage control model includes:
and calculating the final reactive voltage control model based on an ADMM algorithm to obtain an optimal value of the reactive voltage control parameter.
In a fourth possible implementation manner based on the first, second, or third possible implementation manner, the building a sub-network reactive voltage control model of each sub-network based on the branch power flow model and the one or more sub-networks respectively includes:
and respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model, the more than one sub-networks and the model prediction control method.
As can be seen from the above, in the technical scheme of the application, the power distribution network is divided into more than one sub-network; respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and more than one sub-network; constructing a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model and the relation among the subnets in more than one subnet; calculating to obtain an optimal value of a reactive voltage control parameter based on the final reactive voltage control model; and performing reactive voltage control on the power distribution network based on the optimal value. Based on the technical scheme, one model solving problem can be divided into a plurality of model solving problems by dividing the power distribution network into a plurality of subnets, so that dimension disasters are avoided when model solving is carried out, the number of variables in a single model solving problem is reduced, the total calculated amount of the reactive voltage control method is reduced, and the calculating speed of the reactive voltage control method is improved.
Example four
The present application also provides a computer readable storage medium having a computer program stored thereon, which when executed, can implement the steps provided by the above-described embodiments. Specifically, the computer program includes computer program code, which may be in one of a source code form, an object code form, an executable file or some intermediate form, and is not limited herein; the computer readable storage medium can be any entity or device capable of carrying the computer program code, recording medium, U disk, removable hard disk, magnetic disk, optical disk, computer memory, read-only memory (ROM), random Access Memory (RAM), electrical carrier signal, telecommunication signal, and software distribution medium, and is not limited thereto. It should be noted that the contents contained in the computer-readable storage medium can be increased or decreased as required by legislation and patent practice in the jurisdiction.
As can be seen from the above, in the technical scheme of the application, the power distribution network is divided into more than one sub-network; respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and more than one sub-network; constructing a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model and the relation among the subnets in more than one subnet; calculating to obtain an optimal value of a reactive voltage control parameter based on the final reactive voltage control model; and performing reactive voltage control on the power distribution network based on the optimal value. Based on the technical scheme, one model solving problem can be divided into a plurality of model solving problems in a mode of dividing the power distribution network into a plurality of subnets, so that dimension disasters are avoided when model solving is carried out, the number of variables in a single model solving problem is reduced, the total calculated amount of the reactive voltage control method is further reduced, and the calculating speed of the reactive voltage control method is improved.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
It will be apparent to those skilled in the art that, for convenience and brevity of description, only the above-mentioned division of the functional units and modules is illustrated, and in practical applications, the above-mentioned functions may be distributed as different functional units and modules according to needs, that is, the internal structure of the apparatus may be divided into different functional units or modules to implement all or part of the above-mentioned functions. Each functional unit and module in the embodiments may be integrated in one processing unit, or each unit may exist alone physically, or two or more units are integrated in one unit, and the integrated unit may be implemented in a form of hardware, or in a form of software functional unit. In addition, specific names of the functional units and modules are only for convenience of distinguishing from each other, and are not used for limiting the protection scope of the present application. The specific working processes of the units and modules in the system may refer to the corresponding processes in the foregoing method embodiments, and are not described herein again.
It should be noted that, the methods and the details thereof provided by the foregoing embodiments may be combined with the apparatuses and devices provided by the embodiments, which are referred to each other and are not described again.
Those of ordinary skill in the art would appreciate that the elements and algorithm steps of the examples described in connection with the embodiments disclosed herein may be implemented as electronic hardware, or combinations of computer software and electronic hardware. Whether such functionality is implemented as hardware or software depends upon the particular application and design constraints imposed on the implementation. Skilled artisans may implement the described functionality in varying ways for each particular application, but such implementation decisions should not be interpreted as causing a departure from the scope of the present application.
In the embodiments provided in the present application, it should be understood that the disclosed apparatus/terminal device and method may be implemented in other ways. For example, the above-described apparatus/device embodiments are merely illustrative, and for example, the division of the above-described modules or units is only one logical functional division, and the actual implementation may be implemented by another division, for example, a plurality of units or components may be combined or integrated into another system, or some features may be omitted, or not executed.
The above embodiments are only used to illustrate the technical solutions of the present application, and not to limit the same; although the present application has been described in detail with reference to the foregoing embodiments, it should be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; such modifications and substitutions do not substantially depart from the spirit and scope of the embodiments of the present application and are intended to be included within the scope of the present application.

Claims (10)

1. A reactive voltage control method applied to a power distribution network is characterized by comprising the following steps:
dividing the power distribution network into more than one sub-network;
respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and the more than one sub-networks;
constructing a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model and the relation among subnets in the subnets;
calculating to obtain an optimal value of a reactive voltage control parameter based on the final reactive voltage control model;
performing reactive voltage control on the power distribution network based on the optimal value;
wherein the constructing a final reactive voltage control model based on the second order cone relaxation method, the subnet reactive voltage control model, and the relationship among the subnets of the one or more subnets comprises:
constructing a second-order cone planning reactive voltage control model based on a second-order cone relaxation method and the subnet reactive voltage control model;
and planning a reactive voltage control model based on an augmented Lagrange method and the second-order cone, and constructing a final reactive voltage control model by taking the relation among the subnets as consistency constraint.
2. The reactive voltage control method of claim 1, wherein the dividing the distribution network into more than one sub-network comprises:
determining a branch circuit containing an on-load tap changer in a power distribution network as a target branch circuit;
disconnecting the power distribution network from each target branch so as to divide the power distribution network into more than one sub-network.
3. The reactive voltage control method according to claim 2,
the step of calculating an optimal value of a reactive voltage control parameter based on the final reactive voltage control model comprises:
and calculating the final reactive voltage control model based on an ADMM algorithm to obtain the optimal value of the reactive voltage control parameter.
4. The reactive voltage control method according to any of claims 1 to 3, wherein the separately constructing a sub-network reactive voltage control model for each sub-network based on the branch power flow model and the one or more sub-networks comprises:
and respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model, the more than one sub-networks and the model predictive control method.
5. A reactive voltage control device applied to a power distribution network is characterized by comprising:
the dividing unit is used for dividing the power distribution network into more than one sub-network;
the first construction unit is used for respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model and the more than one sub-networks;
the second construction unit is used for constructing a final reactive voltage control model based on a second-order cone relaxation method, the subnet reactive voltage control model and the relation among the subnets in the more than one subnet;
the calculating unit is used for calculating to obtain an optimal value of the reactive voltage control parameter based on the final reactive voltage control model;
the control unit is used for carrying out reactive voltage control on the power distribution network based on the optimal value;
wherein the second building unit is specifically configured to:
constructing a second-order cone planning reactive voltage control model based on a second-order cone relaxation method and the subnet reactive voltage control model;
and planning the reactive voltage control model based on an augmented Lagrange method and the second-order cone, and constructing the final reactive voltage control model by taking the relation among the more than one sub-networks as consistency constraint.
6. The reactive voltage control device of claim 5, wherein the dividing unit is specifically configured to:
determining a branch circuit containing an on-load tap changer in a power distribution network as a target branch circuit;
disconnecting the power distribution network from each target branch so as to divide the power distribution network into more than one sub-network.
7. The reactive voltage control device of claim 6,
the computing unit is specifically configured to:
and calculating the final reactive voltage control model based on an ADMM algorithm to obtain the optimal value of the reactive voltage control parameter.
8. The reactive voltage control device according to any of claims 5 to 7, characterized in that the first building unit is specifically configured to:
and respectively constructing a sub-network reactive voltage control model of each sub-network based on the branch power flow model, the more than one sub-networks and the model prediction control method.
9. A reactive voltage control device for application to a power distribution network, comprising a memory storing a computer program and a processor implementing the steps of the method according to any one of claims 1 to 4 when the computer program is executed by the processor.
10. A computer-readable storage medium, in which a computer program is stored which, when being executed by a processor, carries out the steps of the method according to any one of claims 1 to 4.
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