CN110749767A - Voltage sag monitoring device configuration method considering network topology dynamic reconstruction - Google Patents

Voltage sag monitoring device configuration method considering network topology dynamic reconstruction Download PDF

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CN110749767A
CN110749767A CN201911049026.4A CN201911049026A CN110749767A CN 110749767 A CN110749767 A CN 110749767A CN 201911049026 A CN201911049026 A CN 201911049026A CN 110749767 A CN110749767 A CN 110749767A
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monitoring device
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CN110749767B (en
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汪颖
邓凌峰
肖先勇
郑子萱
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Sichuan University
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    • G01—MEASURING; TESTING
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    • G01R19/00—Arrangements for measuring currents or voltages or for indicating presence or sign thereof
    • G01R19/0084—Arrangements for measuring currents or voltages or for indicating presence or sign thereof measuring voltage only
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
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    • G01R31/081—Locating faults in cables, transmission lines, or networks according to type of conductors
    • G01R31/086—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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Abstract

The invention discloses a voltage sag monitoring device configuration method considering dynamic reconfiguration of network topology, which carries out optimized configuration on a voltage sag monitoring device under the premise of considering dynamic reconfiguration of power grid topology. The method ensures that the power grid meets the condition that the total network sag is considerable under the typical topology of any dynamic network reconstruction on the premise of ensuring the minimum number of installed monitoring devices, and has higher engineering application value.

Description

Voltage sag monitoring device configuration method considering network topology dynamic reconstruction
Technical Field
The invention relates to the field of voltage sag monitoring, in particular to a voltage sag monitoring device configuration method considering network topology dynamic reconstruction.
Background
The investment of a large number of sensitive devices in a modern power system puts higher and higher requirements on the quality of electric energy, the economic loss of production caused by voltage sag is increasingly serious, and the attention of users to the voltage sag is higher and higher. The amplitude, duration, frequency and other characteristics of the voltage sag are important bases for analyzing the voltage sag and formulating a voltage sag treatment scheme. The method comprises the following steps that a monitoring device is installed in a power grid, voltage sag event characteristics are obtained, the voltage sag disturbance source is positioned, and the effective mode of the voltage sag level of a system is mastered; however, due to the high installation cost, the monitoring devices cannot be installed on all the buses or are not necessary to be installed in the engineering. Therefore, the research on the optimization configuration strategy of the voltage sag monitoring device has important theoretical value and practical significance.
Meanwhile, the smart grid is applied more and more widely at present. The network topology dynamic reconfiguration (DNR) is a tool widely applied to smart power grids, and has the function of modifying a network topology structure after modeling and load flow calculation of a network so as to achieve the purposes of reducing power loss, balancing load, improving voltage coefficient and reliability and improving power performance. The application of DNR will directly affect the change of network topology, if the optimal configuration of the voltage sag monitor is calculated on the basis of a certain network topology, the observability of the voltage sag in the network may be reduced because the voltage sags of the buses obtained by short-circuit analysis are different under different network topologies.
The existing observable domain Method (MRA) aims at the minimum number of monitoring devices, and is configured based on algorithms such as a whole-network sag observable area matrix and 0-1 planning, so that sag events caused by any fault can be monitored by at least 1 device.
At present, when monitoring point optimal configuration is carried out, the precondition is that the topological structure of the power grid is known. However, in practice, even if the connection topology of each line in the power grid is known, the application of DNR will directly affect the change of the network topology, at this time, the impedance matrix of the power grid will change, and the formula of the short circuit calculation needs to be changed accordingly, which may reduce the observability of the voltage sag.
Voltage sag: the voltage sag is a power quality event that the effective value of the power supply voltage is reduced to 90% -10% of a rated value in a short time and the duration is 0.5-30 cycles.
Dynamic reconfiguration of network topology: the network topology dynamic reconfiguration (DNR) is a tool widely applied to smart power grids, and has the function of modifying a network topology structure after modeling and load flow calculation of a network so as to achieve the purposes of reducing power loss, balancing load, improving voltage coefficient and reliability and improving power performance. The application of the dynamic reconfiguration of the network topology enables the power grid topology to change along with the change of the load, and corresponding to the typical situation of the load, several typical topology structures exist, and the historical typical topology structure can be obtained by obtaining the historical switch data of the power grid.
Disclosure of Invention
The invention aims to solve the technical problem of providing a voltage sag monitoring device configuration method considering network topology dynamic reconstruction, wherein the voltage sag monitoring device is optimally configured on the premise of considering power grid topology dynamic reconstruction; and after the configuration modes of the monitoring devices under each network topology are calculated, the obtained optimized configuration is synthesized to obtain the optimized configuration.
In order to solve the technical problems, the invention adopts the technical scheme that:
a voltage sag monitoring device configuration method considering network topology dynamic reconstruction comprises the following steps:
step 1: acquiring historical switching data of a power grid, and obtaining a dynamic reconstruction historical typical topology of a network topology according to the acquired historical switching data of the power grid;
step 2: preliminarily configuring a monitoring device;
aiming at each historical typical topology of the power grid, carrying out primary configuration on a monitoring device by using an observable domain method; obtaining a monitoring device configuration mode which enables the whole network sag to be considerable corresponding to each historical typical topology of the power grid;
the method for preliminarily configuring the monitoring device by using the observable domain method comprises the following steps: under each topology, forming a network impedance matrix according to system parameters, and carrying out full networkSetting fault points on each line at equal intervals to obtain a whole-network sag observable area matrix M under any faultw：
Figure BDA0002254847780000031
In the formula, n is the number of the whole network buses, and p is the number of fault points; w represents fault type, 0,1,2 and 3 represent three-phase, single-phase grounding, two-phase and two-phase grounding faults; mwIs a binary matrix of 0-1 of n multiplied by p order; if the amplitude of the bus i is smaller than the threshold value when the jth point has w-type fault, taking the bus i
Figure BDA0002254847780000034
Otherwise
Figure BDA0002254847780000035
MwThe meaning of (1) is as follows: the ith row element represents the observable domain range of the bus i, the element value of 1 represents that the fault point is in the observable domain of the bus i, otherwise, the fault point is outside the observable domain of the bus i;
the decision vector for installing the monitoring device is as follows:
X＝[x1x2… xn]
wherein x isi1 denotes mounting a monitoring device on a bus i, xi0 represents that no monitoring device is installed on the bus i;
taking the minimum number of monitoring devices as an objective function:
Figure BDA0002254847780000032
the temporary drop caused by any fault can be monitored by at least 1 device as a constraint condition:
Figure BDA0002254847780000033
wherein j is 1,2, …, p; w is 0,1,2, 3; solving the planning problem by using a 0-1 planning algorithm;
when in the power gridThere are N typical topologies, topology T1Topology T2…, topology TNThen, the obtained monitoring device is optimally configured to:
Figure BDA0002254847780000041
in the formula, R1、R2、…、RNRespectively corresponding to historical typical topology T of power grid1、T2、…、TNAll monitoring device configuration modes with considerable whole network sag; r is1、r2、…、rNRepresenting a typical topology T for the grid history1、T2、…、TNEach has r1、r2、…、rNThe configuration mode of the monitoring device is such that the monitoring device meets the condition that the whole network has considerable sag; xab＝[xab(1),xab(2),…,xab(n)]Representing typical topology T satisfying historical gridaThe configuration of the b-th monitoring device with considerable total network sag, wherein a is 1,2, …, N; b is 1,2, …, ra(ii) a n is the number of the whole network buses; x is the number ofab(i)Let grid history typical topology T be given by 1aThe configuration mode of the b th monitoring device with considerable sag of the whole network determines that a monitoring device x is installed on a bus iab(i)Let the grid history typical topology T be 0aDetermining that no monitoring device is installed on a bus i in a b-th monitoring device configuration mode with considerable sag of the whole network;
and step 3: comprehensively considering the configuration modes of the monitoring devices obtained under all topologies to obtain a comprehensive scheme to ensure that the total network sag under all typical topologies is considerable, specifically as follows:
1) determine if there is
Figure BDA0002254847780000042
Wherein d is1Is 1 to r1To any value in between, d2Is 1 to r2To any value in between, …, dNIs 1 to rNAny value in between;
if present, isThen order
Figure BDA0002254847780000044
At the moment, X is optimized and configured for the monitoring device which ensures considerable sag of the whole network under each topology; if not present
Figure BDA0002254847780000045
Then, the decision vector of the installation monitoring device is set as:
X＝[x1x2… xn]
wherein x isi1 denotes mounting a monitoring device on a bus i, xi0 represents that no monitoring device is installed on the bus i;
2) taking the minimum number of monitoring devices as an objective function:
and taking the observability of the whole network sag under each topology as a constraint condition:
presence of XabSatisfies the following conditions:
Figure BDA0002254847780000053
wherein a is 1,2, …, N; b is 1,2, …, ra(ii) a k is 1,2, …, n, n is the total network bus number; and solving the planning problem by using a 0-1 planning algorithm to obtain the optimized configuration of the voltage sag monitoring devices which ensures that the whole network sag is considerable and the number of the monitoring devices is minimum under all typical topologies.
Compared with the prior art, the invention has the beneficial effects that: on the premise of ensuring the minimum number of installed monitoring devices, the power grid can meet the condition that the total network sag is considerable under the typical topology of any dynamic network topology reconstruction, and the method has high engineering application value.
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Fig. 1 is a schematic flow chart of a voltage sag monitoring device configuration method considering dynamic reconfiguration of a network topology according to the present invention.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings and specific embodiments.
Because the economic loss of production caused by voltage sag is increasingly serious, it is necessary to install a voltage sag monitoring device. However, due to cost issues, it is not necessary to install voltage sag monitoring devices on all of the buses. Therefore, the research on the problem of optimizing configuration of the voltage sag monitoring device is of engineering significance. The existing research is carried out under a determined power grid topology when monitoring point optimization configuration is carried out. However, in practical situations, the application of DNR will directly affect the change of the network topology, resulting in the change of the impedance matrix of the power grid, and the formula of the short circuit calculation needs to be changed accordingly, which may reduce the observability of the voltage sag. The invention relates to a voltage sag monitoring device configuration method considering network topology dynamic reconstruction, which ensures that a power grid can meet the requirement of considerable sag of the whole power grid under the typical topology of any network topology dynamic reconstruction on the premise of ensuring the minimum number of installed monitoring devices, and specifically comprises the following steps:
firstly, acquiring historical typical topology of power grid
The application of DNR will cause the grid topology to change as the load changes, and there are several typical topologies corresponding to the typical case of load. After historical switching data of the power grid are obtained, historical typical topologies of the power grid can be obtained, and generally, when N typical topologies exist in the power grid, the historical typical topologies are recorded as topology T1Topology T2…, topology TN。
Second, the preliminary configuration of the monitoring device
And for each historical typical topology of the power grid, performing initial configuration on a monitoring device by using an MRA method. Corresponding to each historical typical topology of the power grid, a monitoring device configuration mode which enables the whole network sag to be considerable is obtained (for a certain topology, a plurality of configuration modes generally exist to enable the whole network sag to be considerable).
The method for initially configuring the monitoring device by using the MRA method comprises the following steps: under each topology, a network impedance matrix is formed according to system parameters, then fault points are arranged on all lines of the whole network at equal intervals, and a whole network sag observable area matrix M under any fault is obtainedw：
Figure BDA0002254847780000061
In the formula, n is the number of the whole network buses, and p is the number of fault points; w represents fault type, 0,1,2 and 3 represent three-phase, single-phase grounding, two-phase and two-phase grounding faults; mwIs a binary matrix of 0-1 of order n x p. If the amplitude of the bus i is smaller than the threshold (the threshold is 0.9pu) when the w-type fault occurs at the jth point, taking
Figure BDA0002254847780000062
Otherwise
Figure BDA0002254847780000063
MwThe meaning of (1) is as follows: the element in the ith row represents the MRA range of the bus i, the element with the value of 1 represents that the fault point is in the MRA of the bus i, otherwise, the fault point is out of the MRA of the bus i.
The decision vector for installing the monitoring device is as follows:
X＝[x1x2… xn]
wherein x isi1 denotes mounting a monitoring device on a bus i, xi0 represents that no monitoring device is installed on the bus bar i.
Taking the minimum number of monitoring devices as an objective function:
Figure BDA0002254847780000071
the temporary drop caused by any fault can be monitored by at least 1 device as a constraint condition:
Figure BDA0002254847780000072
wherein j is 1,2, …, p; w is 0,1,2, 3; the planning problem is solved using a 0-1 planning algorithm.
When N typical topologies exist in the power grid, namely topology T1Topology T2…, topology TNThen, the algorithm will obtain the following monitoring device optimal configuration mode:
Figure BDA0002254847780000073
in the formula, R1、R2、…、RNRespectively corresponding to historical typical topology T of power grid1、T2、…、TNAll monitoring device configuration modes with considerable whole network sag; r is1、r2、…、rNRepresenting a typical topology T for the grid history1、T2、…、TNEach has r1、r2、…、rNThe configuration mode of the monitoring device is such that the monitoring device meets the condition that the whole network has considerable sag; xab＝[xab(1),xab(2),…,xab(n)]Representing typical topology T satisfying historical gridaThe configuration of the b-th monitoring device with considerable total network sag, wherein a is 1,2, …, N; b is 1,2, …, ra(ii) a n is the number of the whole network buses; x is the number ofab(i)Let grid history typical topology T be given by 1aThe configuration mode of the b th monitoring device with considerable sag of the whole network determines that a monitoring device x is installed on a bus iab(i)Let the grid history typical topology T be 0aAnd the b-th monitoring device configuration mode with considerable sag of the whole network determines that the monitoring device is not installed on the bus i.
Third, configuration synthesis
The configuration modes of the monitoring devices obtained under all topologies are comprehensively considered, and a comprehensive mode is obtained to ensure that the total network sag under all typical topologies is considerable.
The method for selecting the comprehensive configuration comprises the following steps:
first, whether the current exists is judgedWherein d is1Is 1 to r1To any value in between, d2Is 1 to r2To any value in between, …, dNIs 1 to rNTo any value in between.
If present, is
Figure BDA0002254847780000082
Then order
Figure BDA0002254847780000083
At the moment, if the optimized configuration of the monitoring device for ensuring considerable sag of the whole network under each topology does not exist, X is used for ensuring that the optimized configuration of the monitoring device for ensuring considerable sag of the whole network under each topology
Figure BDA0002254847780000084
Then, the decision vector of the installation monitoring device is set as:
X＝[x1x2… xn]
wherein x isi1 denotes mounting a monitoring device on a bus i, xi0 represents that no monitoring device is installed on the bus bar i.
Taking the minimum number of monitoring devices as an objective function:
and taking the observability of the whole network sag under each topology as a constraint condition:
Figure BDA0002254847780000086
presence of XabSatisfies the following conditions:
wherein a is 1,2, …, N; b is 1,2, …, ra(ii) a k is 1,2, …, n (n is the total network bus number). And solving the planning problem by using a 0-1 planning algorithm to obtain the optimized configuration of the voltage sag monitoring device, which ensures that the whole network sag is considerable under all typical topologies and the number of the monitoring devices is minimum.

Claims (1)

1. A voltage sag monitoring device configuration method considering network topology dynamic reconfiguration is characterized by comprising the following steps:
step 1: acquiring historical switching data of a power grid, obtaining a dynamic reconstruction historical typical topology of a network topology according to the acquired historical switching data of the power grid, and recording the dynamic reconstruction historical typical topology as a topology T when N typical topologies exist in the power grid1Topology T2…, topology TN；
Step 2: preliminarily configuring a monitoring device;
aiming at each historical typical topology of the power grid, carrying out primary configuration on a monitoring device by using an observable domain method; obtaining a monitoring device configuration mode which enables the whole network sag to be considerable corresponding to each historical typical topology of the power grid;
the method for preliminarily configuring the monitoring device by using the observable domain method comprises the following steps: under each topology, a network impedance matrix is formed according to system parameters, fault points are arranged on all lines of the whole network at equal intervals, and a whole network sag observable area matrix M under any fault is obtainedw：
Figure FDA0002254847770000011
In the formula, n is the number of the whole network buses, and p is the number of fault points; w represents fault type, 0,1,2 and 3 represent three-phase, single-phase grounding, two-phase and two-phase grounding faults; mwIs a binary matrix of 0-1 of n multiplied by p order; if the amplitude of the bus i is smaller than the threshold value when the jth point has w-type fault, taking the bus iOtherwise
Figure FDA0002254847770000013
MwThe meaning of (1) is as follows: the ith row element represents the observable domain range of the bus i, the element value of 1 represents that the fault point is in the observable domain of the bus i, otherwise, the fault point is out of the observable domain of the bus i；
The decision vector for installing the monitoring device is as follows:
X＝[x1x2… xn]
wherein x isi1 denotes mounting a monitoring device on a bus i, xi0 represents that no monitoring device is installed on the bus i;
taking the minimum number of monitoring devices as an objective function:
the temporary drop caused by any fault can be monitored by at least 1 device as a constraint condition:
Figure FDA0002254847770000022
wherein j is 1,2, …, p; w is 0,1,2, 3; solving the planning problem by using a 0-1 planning algorithm;
when N typical topologies exist in the power grid, namely topology T1Topology T2…, topology TNThen, the obtained monitoring device is optimally configured to:
Figure FDA0002254847770000023
in the formula, R1、R2、…、RNRespectively corresponding to historical typical topology T of power grid1、T2、…、TNAll monitoring device configuration modes with considerable whole network sag; r is1、r2、…、rNRepresenting a typical topology T for the grid history1、T2、…、TNEach has r1、r2、…、rNThe configuration mode of the monitoring device is such that the monitoring device meets the condition that the whole network has considerable sag; xab＝[xab(1),xab(2),…,xab(n)]Representing typical topology T satisfying historical gridaThe configuration of the b-th monitoring device with considerable total network sag, wherein a is 1,2,…,N；b＝1,2,…,ra(ii) a n is the number of the whole network buses; x is the number ofab(i)Let grid history typical topology T be given by 1aThe configuration mode of the b th monitoring device with considerable sag of the whole network determines that a monitoring device x is installed on a bus iab(i)Let the grid history typical topology T be 0aDetermining that no monitoring device is installed on a bus i in a b-th monitoring device configuration mode with considerable sag of the whole network;
and step 3: comprehensively considering the configuration modes of the monitoring devices obtained under all topologies to obtain a comprehensive scheme to ensure that the total network sag under all typical topologies is considerable, specifically as follows:
1) first, whether the current exists is judged
Figure FDA0002254847770000024
Wherein d is1Is 1 to r1To any value in between, d2Is 1 to r2To any value in between, …, dNIs 1 to rNAny value in between;
if present, is
Figure FDA0002254847770000031
Then order
Figure FDA0002254847770000032
At the moment, X is optimized and configured for the monitoring device which ensures considerable sag of the whole network under each topology; if not present
Figure FDA0002254847770000033
Then, the decision vector of the installation monitoring device is set as:
X＝[x1x2… xn]
wherein x isi1 denotes mounting a monitoring device on a bus i, xi0 represents that no monitoring device is installed on the bus i;
2) taking the minimum number of monitoring devices as an objective function:
Figure FDA0002254847770000034
and taking the observability of the whole network sag under each topology as a constraint condition:
Figure FDA0002254847770000035
presence of XabSatisfies the following conditions:
Figure FDA0002254847770000036
wherein a is 1,2, …, N; b is 1,2, …, ra(ii) a k is 1,2, …, n, n is the total network bus number; and solving the planning problem by using a 0-1 planning algorithm to obtain the optimized configuration of the voltage sag monitoring devices which ensures that the whole network sag is considerable and the number of the monitoring devices is minimum under all typical topologies.
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