CN113964822B - Black-start partitioning method based on scale-capacity-electric distance balance - Google Patents

Black-start partitioning method based on scale-capacity-electric distance balance Download PDF

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CN113964822B
CN113964822B CN202111211595.1A CN202111211595A CN113964822B CN 113964822 B CN113964822 B CN 113964822B CN 202111211595 A CN202111211595 A CN 202111211595A CN 113964822 B CN113964822 B CN 113964822B
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partition
unit
load
capacity
ksum
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CN113964822A (en
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余笑东
周鲲鹏
李群山
吴亚骏
蔡德福
刘海光
陈汝斯
孙冠群
程迪
王莹
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Hubei Electric Power Co Ltd
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Hubei Electric Power 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
    • H02J3/001Methods to deal with contingencies, e.g. abnormalities, faults or failures
    • 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
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • 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]

Abstract

A black start partitioning method based on scale-capacity-electrical distance equalization, comprising: determining available black start power in the whole network; according to the capacity of the whole-network unit to be started and the electric distance from the black start power supply, dividing the unit to be started into various partitions uniformly; dividing the load into various subareas according to the electric distance, checking whether the minimum output force of the unit and the important load priority recovery condition are met, and dividing the rest nodes which are not generating units nor loads into the subareas where the unit closest to the load nodes are located; based on the principle of scale balancing, the scale of each partition is adjusted successively until the scale of each partition is equivalent under the condition that the minimum output of the unit, the priority recovery of important load and the like are met by each partition. The invention can improve the utilization rate of the black start power supply, keep the scale of each partition basically the same under the condition of meeting the black start technical requirement, and shorten the power failure loss caused by overlong black start process time of the power grid.

Description

Black-start partitioning method based on scale-capacity-electric distance balance
Technical Field
The invention relates to the technical field of black start of power grid complete stop after serious faults of a power system, in particular to a black start partitioning method based on scale-capacity-electric distance balance.
Background
When a large-area power failure is caused by an accident of a regional power system, the power grid is in a full-black state, and in order to quickly restore load power supply, economic loss is reduced, social stability is ensured, and the power grid is required to be immediately black started. Black start is the last defense line of safe operation of the power system, and making a reasonable black start scheme has important significance for accelerating the recovery process after the full black accident of the system and reducing the accident loss.
A reasonable black start partition is a foundation stone for smoothly recovering the whole net. Under ideal conditions, the black start power supply, the unit to be started and the load of the whole network are distributed uniformly, the sizes of all the subareas are approximately equal in scale, the recovery speed is equivalent, and the subareas can be synchronously recovered, so that the subareas are juxtaposed. However, most areas in China have uneven resource distribution, the areas with larger loads often have no condition for large-scale construction of energy bases, and areas with rich water and fire power generation resources often have remote areas. Therefore, it is necessary to formulate a reasonable black start partition strategy to avoid excessive or insufficient partition scale caused by uneven resource distribution, thereby affecting the black start recovery speed.
At present, the black start machine set partition mainly considers that the total capacity of the machine set in each partition is approximately equal, and the non-uniform distribution of power generation resources in the region is not considered, so that the power source which is close to a certain black start power source and can be started quickly is easily divided into other areas; the black start load partition mainly considers that the load and the unit capacity are basically equal, so that the partial load is light, the partition scale of the power generation resource enrichment is large, and the quick recovery is difficult.
Therefore, the invention provides the black start partition method based on scale-capacity-electric distance balance, which considers the basic condition of uneven distribution of resources in China, ensures that the scale of the black start partition is basically consistent under the condition of full black power grid, can improve the black start recovery speed, accelerates the power grid recovery process, and has an important role in guaranteeing the national economy stability after power grid accidents.
Disclosure of Invention
In view of the above, the invention provides a black start partition method based on scale-capacity-electric distance balance, which considers the characteristics of uneven distribution of power generation resources and loads in China, introduces parameters such as partition scale, unit capacity, electric distance and the like to carry out black start partition.
The invention is realized by adopting the following technical scheme:
a black start partitioning method based on scale-capacity-electric distance balance comprises the following steps:
step 1, determining available black start power sources in the whole network;
step 2, dividing the unit to be started into various subareas uniformly according to the capacity of the unit to be started in the whole network and the electric distance from the black start power supply;
dividing the load into various subareas according to the electric distance, checking whether the minimum output and important load priority recovery conditions of the generator set are met, and dividing the rest nodes which are not generator sets or loads into the subareas where the generator sets or load nodes closest to the generator sets or the load nodes are located;
and 4, based on the principle of scale balancing, the scale of each partition is adjusted successively until the scale of each partition is equivalent under the condition that the minimum output and important load priority recovery conditions of the unit are met by each partition.
Further, the available black start power in step 1 is selected according to the following rule:
1) The black start power supply is selected from a hydropower plant, a pumped storage power station or a thermal power plant with self-starting capability;
2) The black start power supply is close to a thermal power unit with medium capacity or large capacity;
3) The residual capacity of the black start power supply after deducting the power of the plant is larger than the lowest power of the plant to be started;
4) When the electric distance between the power plants which can be used as the black start power supply is short, the power plant with the largest capacity is selected as the black start power supply.
Further, the black start power supply is close to a thermal power unit with medium capacity or large capacity, and specifically refers to a thermal power unit with the rated capacity 3 times greater than that of the black start power supply.
Further, the step 2 specifically includes:
step 2.1: performing preliminary partitioning of units
Defining the product of the capacity of the unit to be started and the electric distance from the black start power supply as a capacity value d, assuming that the whole network has N black start power supplies, M unit to be started, and calculating the capacity value d from the unit to be started to each black start power supply ij =S j X ij I=1, 2,, N, j=1, 2,, M, S j For the capacity of the j-th unit to be started, X ij The electric distance from the jth unit to be started to the ith black start power supply is the electric distance; according to d ij Ordered by size of d ij Dividing M groups of to-be-started motor into N zones where black start power supplies are located by taking the minimum as a target;
after division, calculating the sum d of the unit capacity values of all the partitions ksum Average number d aver Assuming that G subareas are provided, the number of units to be started in each subarea is H k (k=1, 2,.,. G), the electrical distance of the unit to be started from the black start power supply in the zone where it is located is X i (i=1,2,...,H k ),
Then
The mean square error of the sum of the capacity values of each partition is obtained as follows:
based on the sum d of calculated unit capacity values of each partition ksum Average number d aver And the mean square error of the sum of the capacity values, dividing each partition into a set pi 1 、Π 2 And pi 3 In (a) and (b);
step 2.2: adjusting the primary partitioning result of the unit in the step 2.1
For the set pi 2 Selecting the sum d of the unit capacity values ksum Maximum partition and d ksum The unit furthest from the black start power supply in the largest partition, if the unit is close to the set II 1 Multiple partitions of (a), then partition d ksum In the smallest partition, otherwise dividing the unit into a group belonging to the set pi 1 And the average square error d 'of the sum of the capacity values of each partition is recalculated for the adjacent partition' even
If d' even <d even The division result is reserved, and d is recalculated ksum 、d aver 、d even And repartitioning pi 1 、Π 2 、Π 3 Then step 2.3 is performed;
if d 'is not satisfied' even <d even Selecting the unit which is the next far from the black start power supply for division, and recalculating d' even
If the units in the partition do not meet the conditions, stopping dividing the partition;
step 2.3: judging whether the partitioning work of the unit is finished, if so, executing the step 3, and if not, returning to execute the step 2.2.
Further, according to the sum d of the calculated unit capacity values of the various partitions ksum Average number d aver And the mean square error of the sum of the capacity values, dividing each partition into a set pi 1 、Π 2 And pi 3 Specifically, the method comprises the following steps:
if the kth partitiond ksum <d aver And |d ksum -d aver |>0.1d aver Then the partition is divided into set pi 1 In (a) and (b);
d of the kth partition ksum >d aver And |d ksum -d aver |>0.1d aver Then the partition is divided into set pi 2 In (a) and (b);
dividing other partitions into a set pi 3 Is a kind of medium.
Further, the judging whether the unit partition work is completed specifically includes: judgment set pi 1 、Π 2 Whether or not it is empty, i.e. d of all partitions ksum Satisfy |d ksum -d aver |≤0.1d aver The total unit capacity in each partition is S ksum Or whether the unit in the partition has been traversed.
Further, the step 3 specifically includes:
step 3.1: preliminary division of the load
Assuming a total of T load points, the loads are P i (i=1, 2,) the term "T", the electrical distances between each load point and different units are calculated, the load points are divided into the zones where the units with the closest electrical distances are located, and the total load amount in the zones is calculated as P ksum The total station number in each zone should be N k
Step 3.2: verification of power balance
Assuming that the important load proportion is 30% and the minimum output of the unit is 40%, the unit and the load in any partition should be satisfied, the unit in the partition can satisfy the important load priority recovery, and the total load in the partition can satisfy two conditions of the minimum output operation of the unit, namely: 30% P ksum <S ksum ,40%S ksum <P ksum Wherein S is ksum For the total unit capacity in each partition, P ksum Is the total load in the partition;
if the condition is not satisfied, the partition of the boundary area of the partition with large load is adjusted to the partition with small adjacent load, and the verification is carried out again until the condition is satisfied.
Step 3.3: station division for non-machine set and load
And dividing the rest nodes which are not generating sets or loads into the partitions where the generating sets or the loads are located closest to each other, and if the partitions where the adjacent generating sets or the loads are located are different, preferentially dividing the nodes into the partitions where the generating sets are located.
Further, the step 4 specifically includes:
step 4.1: load adjustment according to the scale number of plant stations
Calculating the average number of the stations in all the partitions:where G is the number of partitions, N k The total station number in each subarea is calculated;
if N of the kth partition k <N aver And |N k -N aver |>0.1N aver Then the partition is divided into set pi 1 In (a) and (b);
if N of the kth partition k >N aver And |N k -N aver |>0.1N aver Then the partition is divided into set pi 2 In (a) and (b);
dividing other partitions into a set pi 3 In (a) and (b);
for the set pi 2 Selecting N from the partitions in (1) k The maximum load of the largest partition and the boundary of the area is deleted from the original partition and put into the adjacent partition belonging to the set pi 1 Is divided into zones; if there are multiple adjacent partitions belonging to the set pi 1 Select N k In the smallest partition, then step 4.2 is performed;
step 4.2: after load adjustment, power balance verification is performed
Assuming that the important load proportion is 30% and the minimum output of the unit is 40%, the unit and the load in any partition should be satisfied, the unit in the partition can satisfy the requirement of the important load, and all the loads in the partition can satisfy two conditions of minimum output operation of the unit, namely: 30% P ksum <S ksum ,40%S ksum <P ksum
If the condition is satisfied, the adjustment is effective, and N is calculated after dividing non-unit and load nodes according to the electric distance k Repartitioning pi 1 、Π 2 、Π 3 Then step 4.3 is performed;
if the condition is not satisfied, selecting the next largest load, deleting the next largest load from the original partition, and placing the next largest load in the neighborhood of the set pi 1 In the partition, then returning to the execution step 4.2;
step 4.3: judging whether the load partition work is completed or not, specifically, after each adjustment is completed, judging N of all partitions k Satisfy |N k -N aver |<0.1N aver I.e. set pi 1 、Π 2 If the load node is empty, or whether the load node traverses is judged, if the load node traverses is judged to be yes, the load partition is finished, the partition is ended to exit, and otherwise, the load node returns.
The invention has the following beneficial effects:
1. in the aspect of unit partitioning, the method is different from the principle of balancing the total capacity of each partitioned unit adopted by the traditional partitioning method, comprehensively considers two parameters of unit capacity and distance from a black start power supply, avoids dividing a unit which is close to a certain black start power supply into another area in a region with rich power generation resources, realizes quick recovery of the unit to be started, can quickly utilize power supply resources in a power grid, and quickens black start progress;
2. in the aspect of load partitioning, the method is different from the method of balancing the total capacity and the total load of a unit adopted by the traditional partitioning method, comprehensively considers the scale difference among partitions, the preferential recovery of important loads, the minimum output of the unit and other conditions, avoids dividing larger black start partitions in areas with lighter loads, causes too slow partition recovery speed, and accelerates the black start partition recovery speed and the parallel speed of the whole network;
3. the method combines the mathematical model with the actual condition of uneven distribution of the power generation resources and loads of the power grid in China, ensures proper scale of each partition on the premise of fully considering the priority recovery of important loads and the minimum output of the unit, has reasonable unit and load proportion, and has important practical guiding significance for accelerating the black start process of the power grid after serious faults.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions of the prior art, the following description will briefly explain the drawings used in the embodiments or the description of the prior art, and it is obvious that the drawings in the following description are some embodiments of the present invention, and other drawings can be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flow chart of one embodiment of a black-start partitioning method based on scale-capacity-electrical distance equalization of the present invention;
FIG. 2 is a schematic diagram of a power grid to be black-start partitioned according to an embodiment of the present invention;
fig. 3 is a schematic diagram of the partition results of partition 1 and partition 2 according to an embodiment of the present invention.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention, and it is apparent that the described embodiments are some embodiments of the present invention, but not all embodiments of the present invention. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Reference herein to "an embodiment" means that a particular feature, structure, or characteristic described in connection with the embodiment may be included in at least one embodiment of the present application. The appearances of such phrases in various places in the specification are not necessarily all referring to the same embodiment, nor are separate or alternative embodiments mutually exclusive of other embodiments. Those of skill in the art will explicitly and implicitly appreciate that the embodiments described herein may be combined with other embodiments.
Referring to fig. 1, an embodiment of the present invention provides a black start partitioning method based on scale-capacity-electrical distance equalization, including the following steps:
step 1, determining available black start power sources in the whole network;
the available black start power is selected according to the following rules:
1) The black start power supply is selected from a hydropower plant, a pumped storage power station or a thermal power plant with self-starting capability;
2) The black start power supply is close to a thermal power unit with medium capacity or large capacity, for example, the thermal power unit with the rated capacity 3 times larger than that of the black start power supply, so that the problems of self-excitation or other overvoltage caused by overlong black start paths are prevented;
3) The capacity of the black start power supply is not too small, and the residual capacity after the power consumption of the black start power supply is subtracted is larger than the lowest power consumption of the unit to be started;
4) When the electrical distance Xmin between the power plants that can be used as the black start power source is relatively short, the power plant with the largest capacity is selected as the black start power source, for example: when the electrical distance Xmin between the power plants which can be used as the black start power supply meets the condition that Xmin between 500kV units is less than 0.05 omega, xmin between 220kV units is less than 0.3 omega, the power plant with the largest capacity is selected as the black start power supply; if two adjacent black start units are respectively at 500kV and 220kV, a 500kV unit is preferably selected;
and 2, dividing the unit to be started into all the subareas uniformly according to the capacity of the unit to be started in the whole network and the electric distance from the black start power supply, and avoiding overlarge or undersize subareas caused by uneven power generation resources. The step 2 specifically includes:
step 2.1: and performing primary partition of the unit.
Defining the product of the capacity of the unit to be started and the electric distance from the black start power supply as a capacity value d, assuming that the whole network has N black start power supplies, M unit to be started, and calculating the capacity value d from the unit to be started to each black start power supply ij =S j X ij I=1, 2,, N, j=1, 2,, M, S j For the capacity of the j-th unit to be started, X ij For the electrical distance from the jth unit to be started to the ith black start power supplyThe method comprises the steps of carrying out a first treatment on the surface of the According to d ij Ordered by size of d ij Dividing M groups of to-be-started motor into N zones where black start power supplies are located by taking the minimum as a target;
after division, calculating the sum d of the unit capacity values of all the partitions ksum Average number d aver Assuming that G subareas are provided, the number of units to be started in each subarea is H k (k=1, 2,.,. G), the electrical distance of the unit to be started from the black start power supply in the zone where it is located is X i (i=1,2,...,H k ),
Then
The mean square error of the sum of the capacity values of each partition is obtained as follows:
based on the sum d of calculated unit capacity values of each partition ksum Average number d aver And the mean square error of the sum of the capacity values, dividing each partition into a set pi 1 、Π 2 And pi 3 In the following, the specific steps are:
d of the kth partition ksum <d aver And |d ksum -d aver |>0.1d aver Then the partition is divided into set pi 1 In (a) and (b);
d of the kth partition ksum >d aver And |d ksum -d aver |>0.1d aver Then the partition is divided into set pi 2 In (a) and (b);
dividing other partitions into a set pi 3 In (a) and (b);
step 2.2: and (3) adjusting the primary partitioning result of the unit in the step (2.1).
For the set pi 2 Selecting unit capacitySum of values d ksum Maximum partition and d ksum The unit furthest from the black start power supply in the largest partition, if the unit is close to the set II 1 Multiple partitions of (a), then partition d ksum In the smallest partition, otherwise dividing the unit into a group belonging to the set pi 1 And the average square error d 'of the sum of the capacity values of each partition is recalculated for the adjacent partition' even
If d' even <d even The division result is reserved, and d is recalculated ksum 、d aver 、d even And repartitioning pi 1 、Π 2 、Π 3 Then step 2.3 is performed;
if d 'is not satisfied' even <d even Selecting the unit which is the next far from the black start power supply for division, and recalculating d' even
If the units in the partition do not meet the conditions, stopping dividing the partition;
step 2.3: judging whether the partitioning work of the unit is finished, if so, executing the step 3, and if not, returning to execute the step 2.2. The method for judging whether the unit partition work is finished specifically comprises the following steps: judgment set pi 1 、Π 2 Whether or not it is empty, i.e. d of all partitions ksum Satisfy |d ksum -d aver |≤0.1d aver The total unit capacity in each partition is S ksum Or whether the unit in the partition has been traversed.
The unit partition rule formulated in the step 2 is characterized in that: different from the traditional black start method, the method is characterized in that the partitions are partitioned by the distance of electric distances, the product of the capacity of a unit to be started and the electric distance from a black start power supply is defined as a capacity distance value d by keeping the principle that the total capacity of each partition unit is basically equal, and the unit is partitioned by keeping the principle that the sum of d values in each partition is basically equal, so that the unit to be started is prevented from being partitioned into the far black start power supply partition due to uneven distribution of power generation resources.
Step 3, dividing the load into various subareas according to the distance between the electric points, and checking whether the conditions of minimum output of the unit, preferential recovery of important load and the like are met, so that the problem that the important load cannot be recovered due to insufficient output of the unit or the waste of black start power supply resources due to overlarge capacity of the unit caused by uneven load distribution is avoided; meanwhile, the nodes which are not the generator set nor the load are divided into the sections where the closest generator set or the load node is located. The step 3 specifically includes:
step 3.1: and carrying out preliminary division of the load.
Assuming a total of T load points, the loads are P i (i=1, 2,) the term "T", the electrical distances between each load point and different units are calculated, the load points are divided into the zones where the units with the closest electrical distances are located, and the total load amount in the zones is calculated as P ksum The total station number in each zone should be N k
Step 3.2: verification of power balance
Assuming that the important load proportion is 30% and the minimum output of the unit is 40%, the unit and the load in any partition should be satisfied, the unit in the partition can satisfy the important load priority recovery, and the total load in the partition can satisfy two conditions of the minimum output operation of the unit, namely: 30% P ksum <S ksum ,40%S ksum <P ksum Wherein S is ksum For the total unit capacity in each partition, P ksum Is the total load in the partition;
if the condition is not satisfied, the partition of the boundary area of the partition with large load is adjusted to the partition with small adjacent load, and the verification is carried out again until the condition is satisfied.
Step 3.3: station division for non-machine set and load
And dividing the rest nodes which are not generating sets or loads into the partitions where the generating sets or the loads are located closest to each other, and if the partitions where the adjacent generating sets or the loads are located are different, dividing the nodes into the partitions where the generating sets or the loads are located in a preferential mode.
The load partition rule formulated in the step 3 is different from the principle that the total capacity of the unit and the total load amount in the guaranteed area adopted by the traditional black start load partition are basically equal, and the constraint condition of the invention is only that the important load can be recovered preferentially and the unit meets the condition of minimum output force.
And 4, based on the principle of scale balancing, the scale of each partition is adjusted successively until the scale of each partition is equivalent under the condition that the minimum output of the unit and the priority recovery of important load are met by each partition. The step 4 specifically includes:
step 4.1: and adjusting the load according to the scale number of the plant stations.
In order to avoid large scale difference of each partition, the black start process is dragged slowly, and the average number of the plant stations of all the partitions is calculated:where G is the number of partitions, N k The total station number in each subarea is calculated;
if N of the kth partition k <N aver And |N k -N aver |>0.1N aver Then the partition is divided into set pi 1 In (a) and (b);
if N of the kth partition k >N aver And |N k -N aver |>0.1N aver Then the partition is divided into set pi 2 In (a) and (b);
dividing other partitions into a set pi 3 In (a) and (b);
for the set pi 2 Selecting N from the partitions in (1) k The maximum load of the largest partition and the boundary of the area is deleted from the original partition and put into the adjacent partition belonging to the set pi 1 Is divided into zones; if there are multiple adjacent partitions belonging to the set pi 1 Select N k In the smallest partition, then step 4.2 is performed;
step 4.2: and after load adjustment, checking the power balance.
Assuming that the important load proportion is 30% and the minimum output of the unit is 40%, the unit and the load in any partition should be satisfied, the unit in the partition can satisfy the requirement of the important load, and all the loads in the partition can satisfy two conditions of minimum output operation of the unit, namely: 30% P ksum <S ksum ,40%S ksum <P ksum
If the condition is satisfied, the adjustment is effective, and N is calculated after dividing non-unit and load nodes according to the electric distance k Repartitioning pi 1 、Π 2 、Π 3 Then step 4.3 is performed;
if the condition is not satisfied, selecting the next largest load, deleting the next largest load from the original partition, and placing the next largest load in the neighborhood of the set pi 1 In the partition, then returning to the execution step 4.2;
step 4.3: judging whether the load partition work is completed or not, specifically, after each adjustment is completed, judging N of all partitions k Satisfy |N k -N aver |<0.1N aver I.e. set pi 1 、Π 2 If the load node is empty, or whether the load node traverses is judged, if the load node traverses is judged to be yes, the load partition is finished, the partition is ended to exit, and otherwise, the load node returns.
And 4, for scale adjustment among the partitions, adopting a principle of ensuring the basic consistency of the number of the plant stations of the partitions, thereby realizing synchronous recovery and synchronous juxtaposition of the partitions and shortening the black start process.
The above algorithm is specifically described in the examples.
Taking a regional power grid as an example, the method is applied to comprehensively consider a plurality of factors such as the regional scale, the unit capacity, the electric distance and the like, and the black start regional research of the power grid recovery under serious faults is carried out. The method can ensure that the sizes of all the subareas are adapted and equal while meeting the conditions of priority recovery of important loads, minimum output of a unit and the like, realizes synchronous recovery and parallel subareas, has important guiding significance for accelerating the recovery process of the whole network, can shorten the power failure loss caused by overlong black start process time of a power grid, and plays a role in stabilizing the social economy of the national community.
First, determining an appropriate black start power supply based on step (1); then, the step (2) is implemented to divide the unit into different partitions by considering the unit capacity and the electrical distance from the black start power supply, then the step (3) is implemented to divide the load into each partition according to the electrical distance, and check whether the conditions of minimum output force of the unit, priority recovery of important load and the like are met, the nodes which are neither the unit nor the load are divided into the partitions where the unit or the load nodes are located which are closest to each other electrically, and (4) finally, under the conditions of priority recovery of important load and the minimum output limit of the unit and the like are met, the load nodes and other partitions which are neither the unit nor the load nodes are adjusted by considering the optimization targets which are equal in scale of different partitions, and all the partition works are completed.
The implementation process of the method comprises the following steps:
the electrical parameters of the various lines and transformers for a regional power grid shown in fig. 2 are shown in tables 1 and 2.
Table 1 per unit value of parameters of each line
S=100MVA,U=525kV
Table 2 500kV substation transformer parameters
Station of factory R High height X High height R In (a) X In (a) R Low and low X Low and low G m B m
1 0.000026 0.019067 0.000028 -0.002800 0.000192 0.041600 0.000747 0.003375
2 0.000026 0.019706 0.000018 -0.002290 0.000164 0.042500 0.000641 0.003507
3 0.000020 0.016816 0.000022 -0.002545 0.000143 0.039271 0.000746 0.003407
4 0.000024 0.014162 0.000017 -0.002440 0.000118 0.033932 0.000676 0.003006
10 0.000000 0.018976 0.000000 -0.001870 0.000000 0.044944 0.000000 0.000000
The parameters of the black start power supplies 1-3 and the unit to be started are shown in tables 3 and 4.
Table 3 black start power unit parameters
Power supply Rated capacity/rated power Boost main short circuit impedance
Black-start power supply 1 330MVA/300MW 14%
Black-start power supply 2 201MVA/185MW 13.96%
Black-start power supply 3 105MVA/95MW 12.88%
TABLE 4 parameters of the units to be started
Power supply Rated capacity/rated power Boost main transformer capacity/short circuit impedance
Factory 1 648MVA/600MW 650MVA/11.42%
Factory 2 1100MVA/1000MW 1150MVA/10.96%
Factory 3 333MVA/300MW 350MVA/10.88%
Factory 4 333MVA/300MW 350MVA/11.18%
Factory 5 212MVA/185MW 240MVA/12.45%
Factory 6 333MVA/300MW 350MVA/11.12%
Factory 7 333MVA/300MW 350MVA/11.97%
Factory 8 382MVA/350MW 400MVA/12.32%
As is clear from the data in table 1, the electrical distance between the black start power source 1 and the black start power source 2 is 0.0125 Ω, and the electrical distance is too short; the capacity of the black start power supply 1 is larger than that of the black start power supply 2, so that the black start power supply 1 and the black start power supply 3 are selected to perform black start partition work.
The electrical distances and the capacitance values between the plants 1 to 8 and the black start power supply 1 and the black start power supply 3 are shown in table 5:
TABLE 5 Electrical distance and capacitance values between plant 1-plant 8 and Black Start Power 1 and Black Start Power 3
Electric distance Black-start power supply 1 Black-start power supply 3 Capacitance value Black-start power supply 1 Black-start power supply 3
Factory 1 0.018075 0.069072 Factory 1 11.7126 44.75866
Factory 2 0.055508 0.096738 Factory 2 61.0588 106.4118
Factory 3 0.039526 0.085016 Factory 3 13.16216 28.31033
Factory 4 0.078295 0.016862 Factory 4 26.07224 5.615046
Factory 5 0.081128 0.05642 Factory 5 17.19914 11.96104
Factory 6 0.047269 0.082199 Factory 6 15.74058 27.37227
Factory 7 0.073562 0.108492 Factory 7 24.49615 36.12784
Factory 8 0.025748 0.085431 Factory 8 9.835736 32.63464
If the traditional black start partitioning method is adopted, the primary partitioning of the unit is firstly carried out by considering the distance between the electric distance and the electric distance, then the unit adjustment is carried out according to the power balance of the partitioned unit, then the factories 1, 3, 6 and 8 are partitioned into the partitions where the black start power supply 1 is located, and the factories 2, 4, 5 and 7 are partitioned into the partitions where the black start power supply 3 is located.
At this time, it can be found that it is not reasonable to divide the plant 8 into the partitions where the black start power supply 1 is located and divide the plant 7 into the partitions where the black start power supply 2 is located, which may cause that the plant 8 and the plant 7 cannot directly obtain the start power supply, and the start power supplies should be manually modified into the partitions where the plant 1, 3, 6, 7 is located where the black start power supply 1 is located and the partitions where the plant 2, 4, 5, 8 is located where the black start power supply 3 is located.
The available power generation capacity of the subarea where the black start power supply 1 is positioned is 1947MVA, the available power generation capacity of the subarea where the black start power supply 3 is positioned is 2132MVA, and the available power generation capacities in the two subareas are approximately equal.
If the unit black start partitioning method firstly considers the capacity value to perform preliminary partitioning of the unit, and then performs unit adjustment according to the balance of the capacity value, then the plants 1,2, 3, 8, 7 and 8 are partitioned into the partitions where the black start power supply 1 is located, and the plants 4, 5, 6 and 7 are partitioned into the partitions where the black start power supply 3 is located.
Wherein the total capacitance value of the partition where the black start power supply 1 is positioned is d 1sum The total capacitance value of the partition where the black start power supply 3 is located is d = 95.7693mva·Ω 1sum = 81.0762mva·Ω, then the average of the accommodation values is d aver The total capacitance values in the two partitions = 88.423mva·Ω are approximately equal and satisfy |d ksum -d aver |≤0.1d aver
At this time, the total capacity of the unit in the partition where the black start power supply 1 is located is 2796MVA, the available power generation capacity in the partition where the black start power supply 3 is located is 1316MVA, and the output scale difference of the unit between different partitions is large.
The black start power supply 1 is arranged on the 500kV grid level, nearby power supply resources are rich, and nearby unit power plants are started by using the black start power supply 1 more quickly and conveniently. Moreover, because the 500kV line impedance is smaller, the voltage is not easy to drop severely along the starting path, and the starting failure is caused.
The load conditions at each point are shown in table 6.
TABLE 6
Load point Load (MW) Load point Load (MW) Load point Load (MW)
5 350 12 250 18 220
6 200 13 300 19 150
7 300 14 800 20 250
8 180 15 120 21 250
9 150 16 100 22 100
11 120 17 180 23 100
According to the traditional load dividing method, the unit and the load are basically balanced, and the load of the partition where the black start power supply 1 is located is: 6. the total load amounts of 7, 8, 9, 11, 17, 18, 19, 22 are: 1750MA.
The load of the partition where the black start power supply 2 is located should be: 5. 12, 13, 14, 15, 16, 20, 21, the total load was 2270MVA.
And finally, the number of the plant stations of the subarea where the black start power supply 1 is positioned is 19, the number of the plant stations of the subarea where the black start power supply 2 is positioned is 15, and certain difference exists between the subareas.
According to the load dividing method provided by the invention, the load of the partition where the black start power supply 1 is located should be: 5. 6, 7, 8, 9, 23.
The total load is 1280MVA > 40%. Times.2796 MVA, and the minimum starting-up requirement of the unit is met.
The load of the partition where the black start power supply 3 is located should be:
11、12、13、14、15、16、17、18、19、20、21、22
the total load is: 2840mva×40% <1316MVA, satisfies the priority recovery condition of the important load.
Finally, the number of the stations in the partition where the black start power supply 1 is located is as follows: 17; the number of the stations of the subarea where the black start power supply 1 is positioned is 17, and the scale among the subareas is basically balanced.
The division results of the partition 1 and the partition 2 are shown in fig. 3.
According to the embodiment, the black start partition is performed by adopting the method based on the scale-capacity-electric distance balance, and the total capacity of the units among the partitions is different, but the method is more in line with the actual power grid condition, namely, the black start power supply of 500kV is utilized to start the units with more capacity, so that the black start power supply resource is not wasted, and the failure of starting the units caused by voltage drop is not easy to occur.
If the traditional method is adopted, the black start power supply 3 is utilized to start the plant 8, the starting path is longer, self-excitation is easy to occur, and meanwhile, the advantage that the electric distance between the black start power supply 1 and the plant 8 is relatively short is wasted.
If the traditional method is adopted for carrying out load partitioning, although the load-unit scale of different partitions can be ensured to be basically equal, the partition scale is different, and the black start of the large-scale partition is slower, so that the whole-network black start process can be tired.
The method fully considers the characteristics that only important loads are required to be recovered preferentially after an accident and the unit is ensured to meet the minimum output requirement, controls the scale among all the subareas to be proper and equal, can realize synchronous recovery, is synchronous and parallel, and has important guiding significance for accelerating the recovery of the power grid after the accident.
The foregoing is merely illustrative embodiments of the present invention, and the present invention is not limited thereto, and any changes or substitutions that may be easily contemplated by those skilled in the art within the scope of the present invention should be included in the scope of the present invention. Therefore, the protection scope of the present invention should be subject to the protection scope of the claims.

Claims (7)

1. A black start partitioning method based on scale-capacity-electric distance balance is characterized in that: the method comprises the following steps:
step 1, determining available black start power sources in the whole network;
step 2, dividing the unit to be started into various subareas uniformly according to the capacity of the unit to be started in the whole network and the electric distance from the black start power supply;
dividing the load into various subareas according to the electric distance, checking whether the minimum output and important load priority recovery conditions of the generator set are met, and dividing the rest nodes which are not generator sets or loads into the subareas where the generator sets or load nodes closest to the generator sets or the load nodes are located;
step 4, based on the principle of scale balancing, the scale of each partition is adjusted successively until the scale of each partition is equivalent under the condition that the minimum output and important load priority recovery conditions of the unit are met by each partition;
the step 2 specifically includes:
step 2.1: performing preliminary partitioning of units
Defining the product of the capacity of the unit to be started and the electric distance from the black start power supply as a capacity value d, assuming that the whole network has N black start power supplies, M unit to be started, and calculating the capacity value d from the unit to be started to each black start power supply ij =S j X ij Where i=1, 2, N, j=1, 2, M, S j For the capacity of the j-th unit to be started, X ij The electric distance from the jth unit to be started to the ith black start power supply is the electric distance; according to d ij Ordered by size of d ij Dividing M groups of to-be-started motor into N zones where black start power supplies are located by taking the minimum as a target;
after division, calculating the sum d of the unit capacity values of all the partitions ksum Average number d aver Assuming that G subareas are provided, the number of units to be started in each subarea is H k K=1, 2, G, the electrical distance between the unit to be started and the black start power supply in the partition is X i ,i=1,2,...,H k
Then
The mean square error of the sum of the capacity values of each partition is obtained as follows:
based on the sum d of calculated unit capacity values of each partition ksum Average number d aver And the mean square error of the sum of the capacity values, dividing each partition into a set pi 1 、Π 2 And pi 3 In (a) and (b);
step 2.2: adjusting the primary partitioning result of the unit in the step 2.1
For the set pi 2 Selecting the sum d of the unit capacity values ksum Maximum partition and d ksum The unit furthest from the black start power supply in the largest partition, if the unit is close to the set II 1 Multiple partitions of (a), then partition d ksum In the smallest partition, otherwise dividing the unit into a group belonging to the set pi 1 And the average square error d 'of the sum of the capacity values of each partition is recalculated for the adjacent partition' even
If d' even <d even The division result is reserved, and d is recalculated ksum 、d aver 、d even And repartitioning pi 1 、Π 2 、Π 3 Then step 2.3 is performed;
if d 'is not satisfied' even <d even Selecting the unit which is the next far from the black start power supply for division, and recalculating d' even
If the units in the partition do not meet the conditions, stopping dividing the partition;
step 2.3: judging whether the partitioning work of the unit is finished, if so, executing the step 3, and if not, returning to execute the step 2.2.
2. The black-start partitioning method based on scale-capacity-electrical distance equalization as set forth in claim 1, wherein: the available black start power supply in step 1 is selected according to the following rules:
1) The black start power supply is selected from a hydropower plant, a pumped storage power station or a thermal power plant with self-starting capability;
2) The black start power supply is close to a thermal power unit with medium capacity or large capacity;
3) The residual capacity of the black start power supply after deducting the power of the plant is larger than the lowest power of the plant to be started;
4) When the electric distance Xmin between the power plants which can be used as the black start power supply is short, the power plant with the largest capacity is selected as the black start power supply.
3. The black-start partitioning method based on scale-capacity-electrical distance equalization as set forth in claim 2, wherein: the black start power supply is close to a thermal power unit with medium capacity or large capacity, and particularly refers to a thermal power unit with the rated capacity 3 times greater than that of the black start power supply.
4. The black-start partitioning method based on scale-capacity-electrical distance equalization as set forth in claim 1, wherein: based on the sum d of calculated unit capacity values of each partition ksum Average number d aver And the mean square error of the sum of the capacity values, dividing each partition into a set pi 1 、Π 2 And pi 3 Specifically, the method comprises the following steps:
d of the kth partition ksum <d aver And |d ksum -d aver |>0.1d aver Then the partition is divided into set pi 1 In (a) and (b);
d of the kth partition ksum >d aver And |d ksum -d aver |>0.1d aver Then the partition is divided into set pi 2 In (a) and (b);
dividing other partitions into a set pi 3 Is a kind of medium.
5. The black-start partitioning method based on scale-capacity-electrical distance equalization as set forth in claim 1, wherein: the method for judging whether the unit partition work is finished specifically comprises the following steps: judgment set pi 1 、Π 2 Whether or not it is empty, i.e. d of all partitions ksum Satisfy |d ksum -d aver |≤0.1d aver The total unit capacity in each partition is S ksum Or whether the unit in the partition has been traversed.
6. The black-start partitioning method based on scale-capacity-electrical distance equalization as set forth in claim 1, wherein: the step 3 specifically includes:
step 3.1: preliminary division of the load
Assuming a total of T load points, the loads are P i I=1, 2,. The.i., T, calculating the electrical distance from each load point to the different units, dividing the load point into a partition where a unit with the nearest electrical distance is located, and calculating the total load quantity P in the partition ksum The total station number in each zone should be N k
Step 3.2: verification of power balance
Assuming that the important load proportion is 30% and the minimum output of the unit is 40%, the unit and the load in any partition should be satisfied, the unit in the partition can satisfy the important load priority recovery, and the total load in the partition can satisfy two conditions of the minimum output operation of the unit, namely: 30% P ksum <S ksum ,40%S ksum <P ksum Wherein S is ksum For the total unit capacity in each partition, P ksum Is the total load in the partition;
if the load is not satisfied, the partition of the boundary area of the partition with large load is adjusted to the partition with small adjacent load, and the verification is carried out again until the condition is satisfied;
step 3.3: station division for non-machine set and load
And dividing the rest nodes which are not generating sets or loads into the partitions where the generating sets or the loads are located closest to each other, and if the partitions where the adjacent generating sets or the loads are located are different, preferentially dividing the nodes into the partitions where the generating sets are located.
7. The black-start partitioning method based on scale-capacity-electrical distance equalization as set forth in claim 1, wherein: the step 4 specifically includes:
step 4.1: load adjustment according to the scale number of plant stations
Calculating the average number of the stations in all the partitions:where G is the number of partitions, N k The total station number in each subarea is calculated;
if N of the kth partition k <N aver And |N k -N aver |>0.1N aver Then the partition is divided into set pi 1 In (a) and (b);
if N of the kth partition k >N aver And |N k -N aver |>0.1N aver Then the partition is divided into set pi 2 In (a) and (b);
dividing other partitions into a set pi 3 In (a) and (b);
for the set pi 2 Selecting N from the partitions in (1) k The maximum load of the largest partition and the boundary of the area is deleted from the original partition and put into the adjacent partition belonging to the set pi 1 Is divided into zones; if there are multiple adjacent partitions belonging to the set pi 1 Select N k In the smallest partition, then step 4.2 is performed;
step 4.2: after load adjustment, power balance verification is performed
Assuming that the important load proportion is 30% and the minimum output of the unit is 40%, the unit and the load in any partition should be satisfied, the unit in the partition can satisfy the requirement of the important load, and the unit in the partition is divided into two partsThe total load in the region can meet two conditions of minimum output operation of the unit, namely: 30% P ksum <S ksum ,40%S ksum <P ksum
If the condition is satisfied, the adjustment is effective, and N is calculated after dividing non-unit and load nodes according to the electric distance k Repartitioning pi 1 、Π 2 、Π 3 Then step 4.3 is performed;
if the condition is not satisfied, selecting the next largest load, deleting the next largest load from the original partition, and placing the next largest load in the neighborhood of the set pi 1 In the partition, then returning to the execution step 4.2;
step 4.3: judging whether the load partition work is completed or not, specifically, after each adjustment is completed, judging N of all partitions k Satisfy |N k -N aver |<0.1N aver I.e. set pi 1 、Π 2 If the load node is empty, or whether the load node traverses is judged, if the load node traverses is judged to be yes, the load partition is finished, the partition is ended to exit, and otherwise, the load node returns.
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