CN112564108B - Power distribution network self-adaptive reconstruction strategy considering complex electricity benefits - Google Patents

Power distribution network self-adaptive reconstruction strategy considering complex electricity benefits Download PDF

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CN112564108B
CN112564108B CN202011473820.4A CN202011473820A CN112564108B CN 112564108 B CN112564108 B CN 112564108B CN 202011473820 A CN202011473820 A CN 202011473820A CN 112564108 B CN112564108 B CN 112564108B
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王军
宁楠
孙睿择
廖清阳
王磊
陈怀蔺
宗志亚
王师国
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Guizhou Power Grid 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
    • H02J3/007Arrangements for selectively connecting the load or loads to one or several among a plurality of power lines or power sources
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02HEMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
    • H02H3/00Emergency protective circuit arrangements for automatic disconnection directly responsive to an undesired change from normal electric working condition with or without subsequent reconnection ; integrated protection
    • H02H3/02Details
    • H02H3/06Details with automatic reconnection
    • 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
    • Y04INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04SSYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S10/00Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
    • Y04S10/52Outage or fault management, e.g. fault detection or location

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Abstract

The invention provides a power distribution network self-adaptive reconstruction strategy considering the recovery efficiency, which is used for calculating the recovery efficiency of faults under different positions according to topology information, switch state information and load information, forming a recovery method according to the actual fault position after monitoring the faults and completing the isolation operation of fault points, realizing the minimum power failure load loss and forming a self-adaptive recovery decision strategy according to the fault position, the switch type and the actual topology. Belongs to the technical field of distribution networks.

Description

Power distribution network self-adaptive reconstruction strategy considering complex electricity benefits
Technical Field
The invention relates to a self-adaptive reconstruction strategy of a power distribution network considering complex electricity benefits, and belongs to the technical field of power distribution networks.
Background
Along with the continuous expansion of the power distribution network scale and the improvement of the requirements of the power load on the power supply reliability, the realization of rapid and effective fault re-power operation becomes an important target of the power distribution network. Reclosing is an important way to realize power restoration, and in some distribution networks, the reclosing is realized by a power conversion way. How to select a proper power transfer mode is the key for guiding the double-power operation.
In the existing method, considering the condition of failure rate, the specific gravity of the overhead line with instantaneous failure is large, and the reclosing mode is often adopted to realize the reclosing operation; the instantaneous fault of the cable line has small proportion, and when the instantaneous fault has a transfer condition, the power supply is recovered without adopting a reclosing mode, and the power failure time is reduced by adopting a rapid transfer strategy. The disadvantages of the prior art mainly include two aspects: firstly, under the condition of the overhead line and the cable line in series-parallel connection, how to select a duplicate mode to lack standard evaluation; secondly, the switch configuration level is uneven, the switch with controllable conditions influences the influence range of fault and power failure, and the load level distribution also influences the decision of re-electrification. Taking the switch configuration condition, the load level change and the actual operation mode into consideration, a self-adaptive complex electricity decision selection method needs to be formed.
Disclosure of Invention
The invention aims to provide a self-adaptive topology reconstruction strategy of a power distribution network, which considers the recovery efficiency, calculates the recovery efficiency of faults under different positions according to topology information, switch state information and load information, rapidly forms a recovery method according to actual fault positions after monitoring the faults and completing isolation operation of fault points, can realize minimum power failure load loss, and can form a self-adaptive recovery decision strategy according to the fault positions, switch types and actual topology.
In order to solve the problems, the self-adaptive reconstruction strategy of the power distribution network considering the complex electric benefits is adopted, and the specific flow is as follows:
1) Initializing, analyzing according to the fault of the first element, and obtaining a reclosing scheme and a power conversion scheme under the fault condition of the element;
2) According to the reclosing scheme and the power transferring scheme, performing topology analysis, and calculating and maintaining a normal power supply area, an area with a double-power condition and a power losing area affected by faults;
3) According to the load distribution conditions of the three areas, obtaining the load capacities of the three areas;
4) Calculating the recovery benefits of two recovery modes under the condition that the current element fails according to the automatic time and the failure occurrence probability;
5) Further obtaining the complex electricity benefit of faults of different elements according to 1) -4);
6) And acquiring an actual fault position and obtaining a double-electricity mode.
The method specifically comprises the following steps:
1. topology analysis
The topology analysis realizes the type division of loads, and according to topology identification, the distribution area after the fault occurs is divided into three types of areas which are a normal power supply maintaining area, an area with a power recovery condition and a power losing area affected by the fault, wherein the normal power supply maintaining area represents a block which can still continuously provide power by a power grid after the fault cutting action occurs; the region with the power restoration condition indicates that after the fault removal action occurs, the power failure occurs, but the block for restoring the power supply can be obtained through a switching or reclosing mode; the failure area affected by the failure represents a block which is permanently powered down by the failure isolation operation, and the topology analysis module is obtained by collecting the connection relation of the power distribution network elements and the switch position state. In general:
the normal power supply maintaining area comprises an area from a system power supply to an upstream circuit breaker of a fault point, and a downstream circuit is provided with a power supply protecting block for emergency island operation in a fault point cutting state, so that the normal power supply maintaining area is not changed along with an actual power restoration mode;
the region with the double-electricity condition is changed along with the selection of the double-electricity mode and the type of faults (transient faults and permanent faults), and when the type of the faults is transient faults, the double-electricity region is other partial regions except the region for maintaining normal power supply. When permanent faults occur, only the duplicate block can be finally determined between the upstream circuit breaker and the upstream controllable switch through the reclosing operation of the upstream circuit breaker at the fault point, and when the downstream is provided with duplicate conditions, the duplicate block also comprises a region from a standby power supply to the downstream controllable switch, and when the permanent faults occur, the duplicate mode by utilizing the reclosing and the duplicate mode by utilizing the transfer power supply have the same region with duplicate conditions;
the power-losing area affected by the fault is also affected by the selection of the duplicate mode and the type of the fault, and different area calculation results are provided. However, under the condition of instantaneous faults, the power-losing area affected by the faults is empty when a reclosing and duplicate mode is adopted; when the power is turned to be supplied or a permanent fault condition occurs, the power loss area affected by the fault is a power distribution network area except for a normal power supply area and an area with a complex power condition.
2. Load type calculation
The load capacity and the load importance are obtained according to the actual operation condition of the power distribution network, and the loss of the power loss benefit of the load is shown according to the load capacity and the load importance, as follows:
Figure BDA0002836950040000031
alpha represents the load importance weight and,
Figure BDA0002836950040000032
and +.>
Figure BDA0002836950040000033
The capacity of the first type of load, the second type of load and the third type of load are respectively represented;
according to the definition of maintaining normal power supply blocks, having duplicate condition blocks and failure affected power loss blocks, and the concepts of load importance and load capacity, the load amounts of different areas are calculated, wherein:
1) Load calculation to maintain normal power supply
When the fault of the element x is removed, the load capable of effectively maintaining normal power supply is expressed by the following formula
Figure BDA0002836950040000034
Figure BDA0002836950040000035
All load sizes connected to the system, +.>
Figure BDA0002836950040000036
The magnitude of the load disengaged for the main power trip operation,
Figure BDA0002836950040000037
the load of island micro-grid power supply can be carried out by means of a controllable distributed power supply;
2) Load calculation with complex electricity conditions
When the fault is transient and reclosing is implemented, the following steps are provided:
Figure BDA0002836950040000038
when the fault is a permanent fault or the power is restored by adopting a power transferring mode, the method comprises the following steps:
a. after the fault point is effectively isolated, at the moment, the load of recovering power supply through the main system is as follows
Figure BDA0002836950040000039
The above shows that the load of the power restoration is realized by the main system, and the load is obtained by subtracting the load of the upstream controllable switch associated with the fault element from the total load of the main power supply, namely, the rest loads of the system except the downstream of the fault element can be restored to the power supply through the main power supply;
b. calculating the load recovered by the tie switch, when the downstream can obtain the power supply recovery by the tie switch, the load capable of recovering the power supply is shown as follows, otherwise, the load cannot be recovered, namely
Figure BDA0002836950040000041
Therefore, the load with the complex electricity condition is as follows
Figure BDA0002836950040000042
3) Load calculation for failure affected by fault
The other loads except the load maintaining normal power supply and the load with the double-power condition are power-losing loads affected by faults, thereby:
Figure BDA0002836950040000043
3. complex electricity benefit calculation
Considering the influence of time factors on the power-off time, calculating the complex electricity benefits of two complex electricity modes, and specifically realizing the following steps:
in the duplicate selection, whether a reclosing strategy is adopted or not will generate obvious difference on the duplicate effect, the time length from the moment of fault removal to the moment of reclosing completion is delta T 1 The method comprises the steps of carrying out a first treatment on the surface of the If reclosing fails, the line is completed for a period of time delta T 2 The line maintenance time is delta T 3 Furthermore, considering that the probability of an instantaneous failure of element k is (1-a%), the complex electricity benefit is measured by the load loss duration, and then there are:
1) Adopting the re-electricity benefit under the re-closing strategy
The complex electricity benefit of the reclosing strategy is expressed by the following formula:
Figure BDA0002836950040000044
wherein the first term represents the length of load loss in case of successful coincidence; the second term represents the duration of load loss for transfer in case of failure of superposition; the third term represents the non-transferable load loss duration;
2) Complex electric benefit without reclosing strategy
At this time, the fault is removed, the line directly carries out the reconstruction strategy, and the time length of the load loss caused is as follows:
Figure BDA0002836950040000045
wherein the first term represents a length of load loss available for transfer; the second term represents the non-transferable load loss duration;
4. multiple electric mode selection
And comparing the complex electricity benefits of the two complex electricity modes according to the calculation result of the complex electricity benefit calculation, and finally obtaining a complex electricity mode selection method.
Compared with the prior art, the invention can effectively improve the power supply reliability of the power distribution network from the perspective of reducing the total electric quantity loss, and particularly can provide a power recovery scheme with highest power recovery efficiency under the condition of mixing the overhead line and the cable line. In addition, the scheme can obtain a corresponding power restoration method according to the change of the actual fault position, and control flexibility is provided. The method can be suitable for the situations of switch configuration, load distribution, running mode change and the like of an actual power distribution network.
Drawings
FIG. 1 is a flow chart of the present invention;
fig. 2 is an implementation model of the present invention.
Detailed Description
For the purpose of promoting an understanding of the principles of the invention, reference will now be made in detail to the embodiments described herein, including examples, illustrated in the accompanying drawings.
Examples
Referring to fig. 1 and fig. 2, the embodiment provides a power distribution network adaptive reconstruction strategy considering complex electric benefits, and the specific flow is as follows:
1) Initializing, analyzing according to the fault of the first element, and obtaining a reclosing scheme and a power conversion scheme under the fault condition of the element;
2) According to the reclosing scheme and the power transferring scheme, performing topology analysis, and calculating and maintaining a normal power supply area, an area with a double-power condition and a power losing area affected by faults;
3) According to the load distribution conditions of the three areas, obtaining the load capacities of the three areas;
4) Calculating the recovery benefits of two recovery modes under the condition that the current element fails according to the automatic time and the failure occurrence probability;
5) Further obtaining the complex electricity benefit of faults of different elements according to 1) -4);
6) And acquiring an actual fault position and obtaining a double-electricity mode.
The method specifically comprises the following steps:
1. topology analysis
The topology analysis realizes the type division of loads, and according to topology identification, the distribution area after the fault occurs is divided into three types of areas which are a normal power supply maintaining area, an area with a power recovery condition and a power losing area affected by the fault, wherein the normal power supply maintaining area represents a block which can still continuously provide power by a power grid after the fault cutting action occurs; the region with the power restoration condition indicates that after the fault removal action occurs, the power failure occurs, but the block for restoring the power supply can be obtained through a switching or reclosing mode; the failure area affected by the failure represents a block which is permanently powered down by the failure isolation operation, and the topology analysis module is obtained by collecting the connection relation of the power distribution network elements and the switch position state. In general:
the normal power supply maintaining area comprises an area from a system power supply to an upstream circuit breaker of a fault point, and a downstream circuit is provided with a power supply protecting block for emergency island operation in a fault point cutting state, so that the normal power supply maintaining area is not changed along with an actual power restoration mode;
the region with the double-electricity condition is changed along with the selection of the double-electricity mode and the type of faults (transient faults and permanent faults), and when the type of the faults is transient faults, the double-electricity region is other partial regions except the region for maintaining normal power supply. When permanent faults occur, only the duplicate block can be finally determined between the upstream circuit breaker and the upstream controllable switch through the reclosing operation of the upstream circuit breaker at the fault point, and when the downstream is provided with duplicate conditions, the duplicate block also comprises a region from a standby power supply to the downstream controllable switch, and when the permanent faults occur, the duplicate mode by utilizing the reclosing and the duplicate mode by utilizing the transfer power supply have the same region with duplicate conditions;
the power-losing area affected by the fault is also affected by the selection of the duplicate mode and the type of the fault, and different area calculation results are provided. However, under the condition of instantaneous faults, the power-losing area affected by the faults is empty when a reclosing and duplicate mode is adopted; when the power is turned to be supplied or a permanent fault condition occurs, the power loss area affected by the fault is a power distribution network area except for a normal power supply area and an area with a complex power condition.
2. Load type calculation
The load capacity and the load importance are obtained according to the actual operation condition of the power distribution network, and the loss of the power loss benefit of the load is shown according to the load capacity and the load importance, as follows:
Figure BDA0002836950040000061
alpha represents the load importance weight and,
Figure BDA0002836950040000062
and +.>
Figure BDA0002836950040000063
The capacity of the first type of load, the second type of load and the third type of load are respectively represented;
according to the definition of maintaining normal power supply blocks, having duplicate condition blocks and failure affected power loss blocks, and the concepts of load importance and load capacity, the load amounts of different areas are calculated, wherein:
1) Load calculation to maintain normal power supply
When the fault of the element x is removed, the load capable of effectively maintaining normal power supply is expressed by the following formula
Figure BDA0002836950040000071
Figure BDA0002836950040000072
All load sizes connected to the system, +.>
Figure BDA0002836950040000073
The magnitude of the load disengaged for the main power trip operation,
Figure BDA0002836950040000074
the load of island micro-grid power supply can be carried out by means of a controllable distributed power supply;
2) Load calculation with complex electricity conditions
When the fault is transient and reclosing is implemented, the following steps are provided:
Figure BDA0002836950040000075
when the fault is a permanent fault or the power is restored by adopting a power transferring mode, the method comprises the following steps:
a. after the fault point is effectively isolated, at the moment, the load of recovering power supply through the main system is as follows
Figure BDA0002836950040000076
The above shows that the load of the power restoration is realized by the main system, and the load is obtained by subtracting the load of the upstream controllable switch associated with the fault element from the total load of the main power supply, namely, the rest loads of the system except the downstream of the fault element can be restored to the power supply through the main power supply;
b. calculating the load recovered by the tie switch, when the downstream can obtain the power supply recovery by the tie switch, the load capable of recovering the power supply is shown as follows, otherwise, the load cannot be recovered, namely
Figure BDA0002836950040000077
Therefore, the load with the complex electricity condition is as follows
Figure BDA0002836950040000078
3) Load calculation for failure affected by fault
The other loads except the load maintaining normal power supply and the load with the double-power condition are power-losing loads affected by faults, thereby:
Figure BDA0002836950040000079
3. complex electricity benefit calculation
Considering the influence of time factors on the power-off time, calculating the complex electricity benefits of two complex electricity modes, and specifically realizing the following steps:
in the duplicate selection, whether a reclosing strategy is adopted or not will generate obvious difference on the duplicate effect, the time length from the moment of fault removal to the moment of reclosing completion is delta T 1 The method comprises the steps of carrying out a first treatment on the surface of the If reclosing fails, the line is completed for a period of time delta T 2 The line maintenance time is delta T 3 Furthermore, considering that the probability of an instantaneous failure of element k is (1-a%), the complex electricity benefit is measured by the load loss duration, and then there are:
1) Adopting the re-electricity benefit under the re-closing strategy
The complex electricity benefit of the reclosing strategy is expressed by the following formula:
Figure BDA0002836950040000081
wherein the first term represents the length of load loss in case of successful coincidence; the second term represents the duration of load loss for transfer in case of failure of superposition; the third term represents the non-transferable load loss duration;
2) Complex electric benefit without reclosing strategy
At this time, the fault is removed, the line directly carries out the reconstruction strategy, and the time length of the load loss caused is as follows:
Figure BDA0002836950040000082
wherein the first term represents a length of load loss available for transfer; the second term represents the non-transferable load loss duration;
4. multiple electric mode selection
And comparing the complex electricity benefits of the two complex electricity modes according to the calculation result of the complex electricity benefit calculation, and finally obtaining a complex electricity mode selection method.
The foregoing description of the preferred embodiments of the invention is not intended to be limiting, but rather is intended to cover all modifications, equivalents, and alternatives falling within the spirit and principles of the invention.

Claims (4)

1. The power distribution network self-adaptive reconstruction strategy taking complex electricity benefit into consideration is characterized by comprising the following specific implementation processes:
1) Initializing, analyzing according to the fault of the first element, and obtaining a reclosing scheme and a power conversion scheme under the fault condition of the element;
2) According to the reclosing scheme and the power transferring scheme, performing topology analysis, and calculating and maintaining a normal power supply area, an area with a double-power condition and a power losing area affected by faults;
3) According to the load distribution conditions of the three areas, obtaining the load capacities of the three areas;
4) Calculating the recovery benefits of two recovery modes under the condition that the current element fails according to the automatic time and the failure occurrence probability;
5) Further obtaining the complex electricity benefit of faults of different elements according to 1) -4);
6) Acquiring an actual fault position and a double-electricity mode;
the method specifically comprises the following steps:
a) Topology analysis
The topology analysis realizes the type division of the load, and the distribution area after the fault is generated is divided into three types of areas which are a normal power supply maintenance area, a power recovery condition area and a power loss area affected by the fault according to the topology identification;
b) Load type calculation
The load capacity and the load importance are obtained according to the actual operation condition of the power distribution network, and the loss of the power loss benefit of the load is shown according to the load capacity and the load importance, as follows:
Figure FDA0004139098550000011
alpha represents the load importance weight and,
Figure FDA0004139098550000012
and +.>
Figure FDA0004139098550000013
The capacity of the first type of load, the second type of load and the third type of load are respectively represented;
according to the definition of a normal power supply maintaining area, a power-losing area with a power restoration condition area and a power failure area affected by faults, and the concepts of load importance and load capacity, calculating to obtain the load capacities of different areas;
c) Complex electricity benefit calculation
Considering the influence of time factors on the power failure time, calculating the power recovery benefits of two power recovery modes;
d) Multiple electric mode selection
And comparing the complex electricity benefits of the two complex electricity modes according to the calculation result of the complex electricity benefit calculation, and finally obtaining a complex electricity mode selection method.
2. The power distribution network adaptive reconstruction strategy taking complex electric benefits into consideration according to claim 1, wherein: in topology analysis, a region which maintains normal power supply represents a region which can still be continuously supplied with power by a power grid after fault removal action occurs; the region with the double-power condition indicates a region in which power supply can be recovered by a switching or reclosing mode although power failure occurs after fault removal operation occurs; the power-losing area affected by the fault represents an area which is permanently powered off by fault isolation operation, and the topology analysis module acquires the connection relation of the power distribution network elements and the position state of the switch;
the normal power supply maintaining area comprises an area from a system power supply to an upstream circuit breaker of a fault point, and a power supply protecting area for emergency island operation is arranged on a downstream circuit in a fault point cutting state;
the re-electricity condition area is changed along with the selection of the re-electricity mode and the type of the fault, when the type of the fault is a transient fault, the re-electricity area is other partial areas except for a normal power supply maintenance area, when a permanent fault is generated, the re-electricity area can only be finally determined between the upstream circuit breaker and the upstream controllable switch through the re-closing operation of the upstream circuit breaker at the fault point, when the downstream has the re-electricity condition, the re-electricity area also comprises an area from a standby power supply to the downstream controllable switch, and when the permanent fault is generated, the re-electricity mode by utilizing the re-closing and the re-electricity mode by utilizing the transfer power supply have the same re-electricity condition area;
the power-losing area affected by the fault is also affected by the selection of the duplicate mode and the type of the fault, and different area calculation results exist, but under the condition of instantaneous fault, the power-losing area affected by the fault is empty when the duplicate mode of reclosing is adopted; when the power is turned to be supplied or a permanent fault condition occurs, the power loss area affected by the fault is a power distribution network area except for a normal power supply area and an area with a complex power condition.
3. The power distribution network adaptive reconstruction strategy taking complex electric benefits into consideration according to claim 1, wherein: according to the definition of the normal power supply maintaining area, the power losing area with the power recovery condition area and the power losing area affected by the fault, and the concepts of the load importance degree and the load capacity, the load capacity of different areas is calculated:
1) Load calculation to maintain normal power supply
When the fault of the element x is removed, the load capable of effectively maintaining normal power supply is expressed by the following formula
Figure FDA0004139098550000021
Figure FDA0004139098550000022
All load sizes connected to the system, +.>
Figure FDA0004139098550000023
The magnitude of the load disengaged for the main power trip operation,
Figure FDA0004139098550000024
the load of island micro-grid power supply can be carried out by means of a controllable distributed power supply;
2) Load calculation with complex electricity conditions
When the fault is transient and reclosing is implemented, the following steps are provided:
Figure FDA0004139098550000031
when the fault is a permanent fault or the power is restored by adopting a power transferring mode, the method comprises the following steps:
a. after the fault point is effectively isolated, at the moment, the load of recovering power supply through the main system is as follows
Figure FDA0004139098550000032
b. Calculating the load recovered by the tie switch, when the downstream can obtain the power supply recovery by the tie switch, the load capable of recovering the power supply is shown as follows, otherwise, the load cannot be recovered, namely
Figure FDA0004139098550000033
Therefore, the load with the complex electricity condition is as follows
Figure FDA0004139098550000034
3) Load calculation for failure affected by fault
The other loads except the load maintaining normal power supply and the load with the double-power condition are power-losing loads affected by faults, thereby:
Figure FDA0004139098550000035
4. the power distribution network self-adaptive reconstruction strategy considering the power recovery benefits according to claim 3, wherein the power recovery benefits of two power recovery modes are calculated by considering the influence of time factors on the power loss time, and the specific implementation is as follows:
the time from the moment of fault removal to the moment of reclosing is delta T 1 The method comprises the steps of carrying out a first treatment on the surface of the If reclosing fails, the line is completed for a period of time delta T 2 The line maintenance time is delta T 3 In addition, considering that the probability of the instantaneous fault of the element k is (1-alpha%), the complex electricity benefit is measured by the load loss duration, and then:
1) Adopting the re-electricity benefit under the re-closing strategy
The complex electricity benefit of the reclosing strategy is expressed by the following formula:
Figure FDA0004139098550000036
wherein the first term represents the length of load loss in case of successful coincidence; the second term represents the duration of load loss for transfer in case of failure of superposition; the third term represents the non-transferable load loss duration;
2) Complex electric benefit without reclosing strategy
At this time, the fault is removed, the line directly carries out the reconstruction strategy, and the time length of the load loss caused is as follows:
Figure FDA0004139098550000041
wherein the first term represents a length of load loss available for transfer; the second term indicates the period of loss of load for the non-transferable.
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