CN109345142B - Method and system for acquiring line blockage of power system - Google Patents

Method and system for acquiring line blockage of power system Download PDF

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CN109345142B
CN109345142B CN201811318061.7A CN201811318061A CN109345142B CN 109345142 B CN109345142 B CN 109345142B CN 201811318061 A CN201811318061 A CN 201811318061A CN 109345142 B CN109345142 B CN 109345142B
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transaction
line
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刘建琴
李庚银
李晖
王智冬
朱毓凝
遆宝中
肖林
刘斯伟
戚庆茹
易海琼
齐芳
杨博
张明理
宋卓然
宋新甫
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STATE GRID LIAONING ECONOMIC TECHNIQUE INSTITUTE
State Grid Corp of China SGCC
North China Electric Power University
State Grid Economic and Technological Research Institute
Economic and Technological Research Institute of State Grid Xinjiang Electric Power Co Ltd
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State Grid Corp of China SGCC
North China Electric Power University
State Grid Economic and Technological Research Institute
Economic and Technological Research Institute of State Grid Xinjiang Electric Power Co Ltd
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Abstract

The invention relates to a method and a system for acquiring line blockage of an electric power system, which are characterized by comprising the following steps: 1) calculating a direct current power transmission distribution factor of the power system; 2) establishing a priority matrix; 3) judging whether a line is blocked in the power system under a certain priority level according to the direct current flow of the power system under the certain priority level; 4) determining the reduction proportion of the blocked lines in the power system under the priority level of the line blockage; 6) determining the proportional relation between the reduction electric quantities of all the generators under the priority; 7) and solving a pre-established line blocking model of the power system to obtain a line blocking result of the power system under the priority.

Description

Method and system for acquiring line blockage of power system
Technical Field
The invention relates to a method and a system for acquiring line blockage of a power system, and belongs to the field of power market analysis.
Background
Nowadays, the electric power market transaction mode has been transited from a traditional single buyer mode of 'bid surfing the internet' on the power generation side to a transaction mode combining electric power medium and long term transaction and spot transaction, wherein the medium and long term transaction comprises bilateral negotiation transaction, centralized bid transaction and listing transaction, and the electric energy market transaction at present takes the medium and long term transaction as the main part and the spot transaction as the auxiliary part. Under the circumstances that the proportion of electric power marketization trade is continuously improved and market competition is intensified, the problem of transmission blockage is more concerned by people.
At present, the influence of the priority of the transaction on the acquisition of the line blockage is not fully considered in the line blockage acquisition method aiming at the bilateral transaction, the influence of the priority on the transaction adjustment amount can be embodied by setting a weight factor in the conventional line blockage acquisition method, the influence of the priority with transaction payment as guidance on the acquisition of the line blockage can be embodied, but the transaction time is difficult to quantify, the influence of the output constraint of a generator on the acquisition of the line blockage is not considered when the bilateral transaction amount is directly adjusted, and an equal proportion principle is not considered from the generator side.
Disclosure of Invention
In view of the above problems, the present invention provides a method and system for obtaining line congestion of an electrical power system, which comprehensively considers bilateral transaction amount, generator output constraint and equal proportion principle.
In order to achieve the purpose, the invention adopts the following technical scheme: a method of obtaining line congestion in an electrical power system, comprising the steps of: 1) calculating a direct current power transmission distribution factor of the power system according to the parameters of the power system; 2) establishing a priority matrix; 3) judging whether a line is blocked in the power system under a certain priority level according to the direct current flow of the power system under the certain priority level; 4) determining the reduction proportion of the blocked lines in the power system under the priority with line blockage according to the direct current power transmission distribution factor of the power system; 6) according to the reduction proportion of the blocked lines in the power system under the priority with the line blockage, determining the proportional relation among the reduction electric quantities of the generators under the priority; 7) and (3) solving a pre-established line blocking model of the power system according to the proportional relation among the reduced electric quantities of the generators under the priority to obtain a line blocking result of the power system under the priority, selecting a new priority, and entering the step 3) to obtain line blocking of the next priority until obtaining the line blocking result of the power system under each priority.
Further, the dc power transmission distribution factor of the power system is:
Figure BDA0001856822010000011
in the formula, r and s are nodes at two ends of a line l in the power system respectively; x and y are respectively a generator node and a load node of the transaction i; xrsThe reactance value of a line l in the power system is shown; brx、bxy、bsx、bsyRespectively inverse of the node admittance matrix-1The element in l.
Further, the priority matrix is:
Figure BDA0001856822010000021
in the formula, ρCDeciding a variable matrix for the bilateral transaction; rhoBDeciding a variable matrix for the consolidated transaction; r is the priority; n is a radical ofBThe number of bilateral transactions; n is a radical ofCIs the number of consolidated transactions.
Further, the basis for judging whether the line blockage occurs in the power system under a certain priority is that the active power in the direct current flow of the power system under the priority exceeds the limit value of the transmission capacity of the line.
Further, according to the direct current power transmission distribution factor of the power system, determining the reduction proportion of the blocked lines in the power system under the priority with line blockage, and the specific process is as follows: obtaining the relation between the direction of the direct current power transmission distribution factor and the direction of the blocking power flow according to the direct current power transmission distribution factor of the power system; and determining the reduction proportion of the blocked lines in the power system under the priority with the line blockage according to the relation between the direction of the direct current power transmission distribution factor and the direction of the blocked power flow.
Further, the relationship between the dc power transmission distribution factor direction and the blocking power flow direction includes: when a positive direction of a certain line in the power system is blocked, if a direct current power transmission distribution factor is positive, increasing bilateral transactions between a load node and a generator node aggravates the blocking of an overload line; if the direct current power transmission distribution factor is negative, increasing bilateral transaction between the load node and the power generation node can reduce the blockage of an overload circuit; when a certain line in the power system is blocked in the reverse direction, if the direct current power transmission distribution factor is negative, the blocking of an overload line is aggravated by adding bilateral transactions between the load node and the generator node; if the direct current power transmission distribution factor is positive, the load node and the power generation node increase bilateral transaction to relieve the blockage of the overload line.
Further, the reduction proportion of the blocking lines in the power system under the priority is as follows:
Figure BDA0001856822010000022
Figure BDA0001856822010000023
in the formula,. DELTA.TkA decrement for transaction k; delta PGiReducing the amount of the generator participating in market trading; t iskA trading value for a trade k; pGiGenerating capacity for participating in market trading; i is a transaction.
Further, the power system line blockage model comprises an objective function and a constraint condition; A) an objective function:
Figure BDA0001856822010000031
in the formula, G is the number of nodes of the generator; deltaPGiReducing the amount of the generator participating in market trading; B) the constraint conditions of the power system comprise an equal proportion reduction constraint, a priority constraint, a power balance constraint, a line power flow constraint, a transaction constraint and a generator output constraint; and (3) carrying out equal proportion reduction constraint:
Figure BDA0001856822010000032
Figure BDA0001856822010000033
in the formula, betakA cut scale factor for transaction k;
Figure BDA0001856822010000034
a decision variable with the priority r and the transaction k;
Figure BDA0001856822010000035
the transaction electric quantity is the bilateral transaction k;
Figure BDA0001856822010000036
the electric quantity is reduced for the bilateral transaction k; n is a radical ofBThe number of bilateral transactions; and (3) priority constraint:
Figure BDA0001856822010000037
wherein R is priority;
Figure BDA0001856822010000038
reducing the electric quantity for the centralized transaction k; n is a radical ofCThe number of centralized transactions; and power balance constraint:
Figure BDA0001856822010000039
in the formula, D is the number of load nodes; delta PDjLoad shedding for node jReducing; and (3) line power flow constraint:
Figure BDA00018568220100000310
in the formula, Pl.0Is a line Pl.0The initial power flow of (a); pl.maxIs a line Pl.0A tidal current limit of (d);
Figure BDA00018568220100000311
a direct current power transmission distribution factor under bilateral transaction;
Figure BDA00018568220100000312
a direct current power transmission distribution factor under centralized transaction; and (3) transaction constraint:
Figure BDA00018568220100000313
Figure BDA00018568220100000314
in the formula (I), the compound is shown in the specification,
Figure BDA00018568220100000315
the transaction electric quantity of the transaction k is centralized; and (3) output restraint of the generator:
Figure BDA00018568220100000316
in the formula (I), the compound is shown in the specification,
Figure BDA00018568220100000317
and
Figure BDA00018568220100000318
respectively representing the upper limit and the lower limit of the output of the generator node x of the transaction i; pGi.0The initial output of generator node x for trade i.
A system for obtaining line blocking in an electrical power system, comprising: the direct current power transmission distribution factor calculation module is used for calculating the direct current power transmission distribution factor of the power system according to the parameters of the power system; the matrix establishing module is used for establishing a priority matrix; the circuit blockage judging module is used for judging whether circuit blockage occurs in the power system under a certain priority level according to the direct current flow of the power system under the certain priority level; the reduction proportion determining module is used for determining the reduction proportion of the blocked lines in the power system under the priority level with line blockage according to the direct current power transmission distribution factor of the power system; the proportional relation determining module is used for determining the proportional relation among the reduced electric quantities of the generators under the priority according to the reduction proportion of the blocked lines in the power system under the priority with the line blockage; and the circuit blocking result obtaining module is used for solving a pre-established circuit blocking model of the power system according to the proportional relation among the electric quantity reduction of each generator under the priority level to obtain a circuit blocking result of the power system under the priority level.
Due to the adoption of the technical scheme, the invention has the following advantages: the method disclosed by the invention has the advantages that the influence of uncertainty factors on the power system circuit in the power market environment cannot be fully considered by the traditional power decomposition method, the uncertainty factors are fully considered, the circuit blocking result of the power system under each priority level is obtained by solving according to the constructed power system circuit blocking model, and the method can be widely applied to the field of power market analysis.
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Fig. 1 is a flow chart of a method of acquiring line congestion of a power system according to the present invention.
Detailed Description
The present invention is described in detail below with reference to the attached drawings. It is to be understood, however, that the drawings are provided solely for the purposes of promoting an understanding of the invention and that they are not to be construed as limiting the invention.
As shown in fig. 1, the method for obtaining line congestion of an electric power system provided by the present invention includes the following steps:
1) according to parameters of the power system, calculating direct current power transmission distribution factors of the power system, wherein the parameters of the power system comprise node admittance, line reactance, generator nodes and the like, and specifically comprise:
the original definition of the power transmission distribution factor refers to the change of the line complex power flow caused by the change of the complex power injection of a certain node under the alternating current flow. Because the equal proportion reduction focuses on the distribution condition of active power of bilateral transaction in a circuit, the blocking analysis of bilateral transaction mostly adopts a direct current trend method, and the corresponding power transmission distribution factor adopts a direct current power transmission distribution factor. Assuming that there is a power transaction from node x to node y in a power system that causes a change in line power from node r to node S, the DC power transfer profile S for transaction i on line l in the power system is obtained byli
Figure BDA0001856822010000041
In the formula, r and s are nodes at two ends of a line l in the power system respectively; x and y are respectively a generator node and a load node of the transaction i; xrsThe reactance value of a line l in the power system is shown; brx、bxy、bsx、bsyRespectively inverse of the node admittance matrix-1The element in l.
As can be seen from the above formula, the dc power transmission distribution factor is only related to the network parameters of the power system, and is not related to the operating state of the power system.
2) Establishing a priority matrix, and ensuring that the priority of bilateral transaction is higher than that of centralized transaction, wherein the priority matrix can be established according to medium and long term transactions of electric power, and specifically comprises the following steps:
the priority matrix D is represented by a 0-1 planning matrix:
Figure BDA0001856822010000051
in the formula, ρCDeciding a variable matrix for the bilateral transaction;ρBdeciding a variable matrix for the consolidated transaction; r is the priority; n is a radical ofBThe number of bilateral transactions; n is a radical ofCIs the number of consolidated transactions.
3) Calculating the direct current load flow of the power system under a certain priority, wherein the calculation of the direct current load flow of the power system can be performed according to parameters such as network topology, element parameters, load parameters and the like of the power system by using a calculation method disclosed in the prior art, and the specific process is not repeated herein.
4) Judging whether line blockage occurs in the power system under the priority according to the active power in the direct current power flow of the power system under the priority and a preset active power threshold, if the active power in the direct current power flow exceeds the limit value of the transmission capacity of the line, the line blockage occurs, then the step 4) is carried out, if the active power in the direct current power flow does not exceed the limit value of the transmission capacity of the line, the line blockage does not occur, and a result is output.
5) According to the direct current power transmission distribution factor of the power system, determining the reduction proportion of the blocked lines in the power system under the priority with line blockage, specifically:
5.1) obtaining the distribution condition of bilateral transaction on the blocking line according to the direct current power transmission distribution factor of the power system, namely the direct current power transmission distribution factor SliThe relation between the direction and the direction of the blocking tide reduces the transaction influencing the blocking according to the equal proportion principle: when the forward direction of a line l in the power system is blocked, if the direct current power transmission distribution factor SliIf the number of the nodes is positive, the situation that the overload circuit is blocked is aggravated by adding bilateral transactions between the load node y and the generator node x; if the DC power transmission distribution factor SliIf the number of the load node y and the power generation node x is negative, the situation that the overload line is blocked is relieved by adding bilateral transaction to the load node y and the power generation node x. Similarly, when the line l in the power system is blocked in the opposite direction, the corresponding result can be analyzed according to the physical meaning of the sensitivity, that is, if the direct current power transmission distribution factor S occursliIf the number of the nodes is negative, the situation that the overload circuit is blocked due to the fact that bilateral transactions are added between the load node y and the generator node x is proved to be serious; if the DC power transmission distribution factor SliAnd if the number of the nodes is positive, the situation that the load node y and the generator node x increase bilateral transactions can relieve the blockage of the overload line.
And 5.2) determining the reduction proportion of the blocked lines in the power system under the priority with line blockage according to the relation between the direction of the direct current power transmission distribution factor and the direction of the blocked power flow.
Suppose there are m sets of direct current power transmission distribution factors S on line l for bilateral transactionsliThe direct current power transmission distribution factor is not 0 and is the same as the blocking power flow direction, and a proportionality coefficient beta of the transaction k ∈ (k ∈ { m }) occupying the capacity of the line L can be obtained according to the direct current power transmission distribution factorLk
Figure BDA0001856822010000061
In the formula, TkFor trading value of k, PLThe actual power delivered by the line L (L is the generic term for the line and L is the line index) is shown.
Due to the existence of non-bilateral transaction quantities such as base quantities on the line L and the alleviation of blocked transaction trends, a scaling factor β is requiredLkNormalization processing is carried out to obtain a reduction scale factor gamma of the bilateral transaction k on the line LLk
Figure BDA0001856822010000062
The transaction i is given a decrement Δ T based on its capacity fraction on the line LLk
ΔTLk=γLkΔTL=SLkΔTk
In the formula,. DELTA.TLThe active power required to be reduced in equal proportion on the line L; delta TkIs the decrement of transaction k.
The decrement of the transaction i on the line L is converted into the decrement of the transaction i, and the decrement of the transaction i is obtained:
Figure BDA0001856822010000063
thus, the proportional relation between the transactions and the relation between the generator reduction amount and the transaction reduction amount are obtained, and the reduction proportion on the blocking line is determined:
Figure BDA0001856822010000064
Figure BDA0001856822010000065
in the formula, PGiGenerating capacity for participating in market trading; delta PGiReducing the amount of the generator participating in market trading; i is a transaction.
6) According to the reduction proportion of the blocking line in the power system under the priority, determining the proportion relation among the reduction electric quantity of each generator under the priority, specifically:
according to the equal proportion principle of double-sided transaction that the decrement of the transaction on a certain line is in direct proportion to the capacity of the line used by the transaction, the equivalent to the power generation side is that when the blocking trend is in the same direction with the direct current power transmission distribution factor, the decrement of the transaction on the certain line is in direct proportion to the transaction amount of the transaction and is irrelevant to the size of the corresponding direct current power transmission distribution factor. According to the conclusion, the proportional coefficient of the power generation side can be directly obtained from the transaction amount, and then the proportional coefficient is corrected according to the directional relation between the transaction sensitivity and the blocking power flow, so that the proportional relation between the reduced electric quantity of each generator is determined.
7) Establishing a power system line blocking model, wherein the power system line blocking model comprises a target function and a constraint condition, and specifically comprises the following steps:
7.1) with the aim of minimizing the total reduction of the transaction on a certain line l, determining an objective function:
Figure BDA0001856822010000071
wherein G is the number of generator nodes.
7.2) determining constraints of the power system, wherein the constraints of the power system comprise an equal proportion reduction constraint, a priority constraint, a power balance constraint, a line current constraint, a transaction constraint and a generator output constraint.
7.2.1) isometric curtailment constraint:
Figure BDA0001856822010000072
Figure BDA0001856822010000073
in the formula, betakA cut scale factor for transaction k;
Figure BDA0001856822010000074
a decision variable with the priority r and the transaction k;
Figure BDA0001856822010000075
the transaction electric quantity is the bilateral transaction k;
Figure BDA0001856822010000076
the electricity is reduced for the bilateral transaction k.
7.2.2) priority constraints:
Figure BDA0001856822010000077
wherein R is priority;
Figure BDA0001856822010000078
the electricity quantity is reduced for the centralized transaction k.
7.2.3) Power balance constraints:
Figure BDA0001856822010000079
in the formula, D is the number of load nodes; delta PDjThe load of node j is reduced.
7.2.4) line flow constraints:
Figure BDA00018568220100000710
in the formula, Pl.0Is a line Pl.0The initial power flow of (a); pl.maxIs a line Pl.0A tidal current limit of (d);
Figure BDA00018568220100000711
a direct current power transmission distribution factor under bilateral transaction;
Figure BDA00018568220100000712
the distribution factor of the direct current power transmission under the centralized transaction.
7.2.5) transaction constraints:
Figure BDA00018568220100000713
Figure BDA00018568220100000714
in the formula (I), the compound is shown in the specification,
Figure BDA00018568220100000715
the transaction power of the transaction k is centralized.
7.2.6) generator output constraints:
Figure BDA00018568220100000716
in the formula (I), the compound is shown in the specification,
Figure BDA0001856822010000081
and
Figure BDA0001856822010000082
respectively representing the upper limit and the lower limit of the output of the generator node x of the transaction i; pGi.0The initial output of generator node x for trade i.
8) And (3) solving a line blocking model of the power system according to the proportional relation among the reduced electric quantities of the generators under the priority to obtain a line blocking result of the power system under the priority, namely line reduced electric quantity (the line reduced electric quantity is the minimum reduced electric quantity meeting various constraint conditions), and performing line blocking analysis of the next priority according to the established priority matrix until a line blocking result of the power system under each priority is obtained.
The method for obtaining the line congestion of the power system of the present invention is described in detail below with an 18-node power system as a specific embodiment:
table 1 below shows the line parameters of the 18-node power system, and since the power flow limit is 23, it can be seen that the line with the number 23 is blocked:
table 1: line parameters of 18-node Shenli system
Figure BDA0001856822010000083
The following tables 2 and 3 show the electric power required to be reduced by the generator and the load, which are obtained by applying the line-reduced electric power to the power generation scheduling according to the equal proportion principle after the line-reduced electric power is obtained by adopting the method for obtaining the line blockage of the electric power system of the present invention:
table 2: generator node data applied before and after power generation dispatching
Figure BDA0001856822010000084
Figure BDA0001856822010000091
Table 3: load node data applied before and after power generation dispatching
Figure BDA0001856822010000092
The reported power for each transaction can be adjusted according to the priority of the priority matrix based on the amount of power required to be reduced by each generator, as shown in table 4 below:
table 4: bilateral transaction data applied before and after power generation dispatching
Figure BDA0001856822010000093
It can be seen that the larger the number corresponding to the priority, the higher the priority of the bilateral transaction, and the earlier the transaction time. The lowest priority and the later priority of the transactions 6 and 12 are preferentially cut down when applied to power generation scheduling, and the cut-down amount is not enough to reduce the blocking of the power flow in the line 23, and therefore, the transactions are not cut down on the equal proportion principle, but are all cut down. The flow of the remaining transactions with priority 1 is not reduced since it does not flow through the line 23 or its transaction flow is opposite to the blocking flow, acting itself to "ease" the extent of the line blocking. The priority of transaction 3 and transaction 17 is 2, and the blocking phenomenon in the line can be eliminated after the reduction according to the equal proportion principle. Therefore, the problem of line blockage in the power system can be effectively solved by applying the line reduction electric quantity obtained by the method of the invention to the power generation dispatching of the power system.
Based on the method for obtaining the line blockage of the electric power system, the invention also provides a system for obtaining the line blockage of the electric power system, which comprises the following steps:
the direct current power transmission distribution factor calculation module is used for calculating the direct current power transmission distribution factor of the power system according to the parameters of the power system;
the matrix establishing module is used for establishing a priority matrix;
the circuit blockage judging module is used for judging whether circuit blockage occurs in the power system under a certain priority level according to the direct current flow of the power system under the certain priority level;
the reduction proportion determining module is used for determining the reduction proportion of the blocked lines in the power system under the priority level with line blockage according to the direct current power transmission distribution factor of the power system;
the proportional relation determining module is used for determining the proportional relation among the reduced electric quantity of each generator under the priority according to the reduction proportion of the blocked line in the electric power system under the priority;
and the circuit blocking result obtaining module is used for solving a pre-established circuit blocking model of the power system according to the proportional relation among the electric quantity reduction of each generator under the priority level to obtain a circuit blocking result of the power system under the priority level.
In a preferred embodiment, the reduction ratio determination module includes a distribution obtaining unit and a reduction ratio determination unit. The distribution condition obtaining unit is used for obtaining a direct current power transmission distribution factor S according to the direct current power transmission distribution factor of the power systemliThe relationship between direction and the direction of the blocking current. And the reduction proportion determining unit is used for determining the reduction proportion of the blocked lines in the power system under the priority level with the line blockage according to the relation between the direct current power transmission distribution factor direction and the blocking tide direction.
The above embodiments are only used for illustrating the present invention, and the structure, connection mode, manufacturing process, etc. of the components may be changed, and all equivalent changes and modifications performed on the basis of the technical solution of the present invention should not be excluded from the protection scope of the present invention.

Claims (5)

1. A method of obtaining line congestion in an electrical power system, comprising the steps of:
1) calculating a direct current power transmission distribution factor of the power system according to parameters of the power system, wherein the direct current power transmission distribution factor of the power system is as follows:
Figure FDA0003217366550000011
in the formula, r and s are nodes at two ends of a line l in the power system respectively; x and y are respectively a generator node and a load node of the transaction i; xrsThe reactance value of a line l in the power system is shown; brx、bxy、bsx、bsyRespectively inverse of the node admittance matrix-1An element in l;
2) establishing a priority matrix, wherein the priority matrix is as follows:
Figure FDA0003217366550000012
in the formula, ρCDeciding a variable matrix for the bilateral transaction; rhoBDeciding a variable matrix for the consolidated transaction; r is the priority; n is a radical ofBThe number of bilateral transactions; n is a radical ofCThe number of centralized transactions;
3) judging whether a line is blocked in the power system under a certain priority level according to the direct current flow of the power system under the certain priority level;
4) according to the direct current power transmission distribution factor of the power system, determining the reduction proportion of the blocked lines in the power system under the priority with line blockage, and the specific process is as follows:
obtaining the relation between the direction of the direct current power transmission distribution factor and the direction of the blocking power flow according to the direct current power transmission distribution factor of the power system;
determining the reduction proportion of the blocked lines in the power system under the priority with line blockage according to the relation between the direction of the direct current power transmission distribution factor and the direction of the blocked power flow;
5) according to the reduction proportion of the blocked lines in the power system under the priority with the line blockage, determining the proportional relation among the reduction electric quantities of the generators under the priority;
6) according to the proportional relation among the electric quantity reduction of each generator under the priority, solving a pre-established line blocking model of the electric power system to obtain a line blocking result of the electric power system under the priority, selecting a new priority, entering a step 3), and obtaining line blocking of the next priority until obtaining the line blocking result of the electric power system under each priority, wherein the line blocking model of the electric power system comprises a target function and a constraint condition;
A) an objective function:
Figure FDA0003217366550000021
in the formula, G is the number of nodes of the generator; delta PGiReducing the amount of the generator participating in market trading;
B) the constraint conditions of the power system comprise an equal proportion reduction constraint, a priority constraint, a power balance constraint, a line power flow constraint, a transaction constraint and a generator output constraint;
and (3) carrying out equal proportion reduction constraint:
Figure FDA0003217366550000022
Figure FDA0003217366550000023
in the formula, betakA cut scale factor for transaction k;
Figure FDA0003217366550000024
a decision variable with the priority r and the transaction k;
Figure FDA0003217366550000025
the transaction electric quantity is the bilateral transaction k;
Figure FDA0003217366550000026
the electric quantity is reduced for the bilateral transaction k; n is a radical ofBThe number of bilateral transactions;
and (3) priority constraint:
Figure FDA0003217366550000027
wherein R is priority;
Figure FDA0003217366550000028
reducing the electric quantity for the centralized transaction k; n is a radical ofCThe number of centralized transactions;
and power balance constraint:
Figure FDA0003217366550000029
in the formula, D is the number of load nodes; delta PDjLoad reduction for the node j;
and (3) line power flow constraint:
Figure FDA00032173665500000210
in the formula, Pl.0Is a line Pl.0The initial power flow of (a); pl.maxIs a line Pl.0A tidal current limit of (d);
Figure FDA00032173665500000211
a direct current power transmission distribution factor under bilateral transaction;
Figure FDA00032173665500000212
a direct current power transmission distribution factor under centralized transaction;
and (3) transaction constraint:
Figure FDA00032173665500000213
Figure FDA00032173665500000214
in the formula (I), the compound is shown in the specification,
Figure FDA00032173665500000215
the transaction electric quantity of the transaction k is centralized;
and (3) output restraint of the generator:
Figure FDA00032173665500000216
in the formula (I), the compound is shown in the specification,
Figure FDA00032173665500000217
and
Figure FDA00032173665500000218
respectively representing the upper limit and the lower limit of the output of the generator node x of the transaction i; pGi.0The initial output of generator node x for trade i.
2. The method of claim 1, wherein the determining whether a line blockage occurs in the power system under a certain priority is based on active power in the power system dc power flow exceeding a limit of transmission capacity of the line under the certain priority.
3. The method of claim 1, wherein the relationship between the dc power transfer distribution factor direction and the blocking power flow direction comprises:
when a positive direction of a certain line in the power system is blocked, if a direct current power transmission distribution factor is positive, increasing bilateral transactions between a load node and a generator node aggravates the blocking of an overload line; if the direct current power transmission distribution factor is negative, increasing bilateral transaction between the load node and the power generation node can reduce the blockage of an overload circuit;
when a certain line in the power system is blocked in the reverse direction, if the direct current power transmission distribution factor is negative, the blocking of an overload line is aggravated by adding bilateral transactions between the load node and the generator node; if the direct current power transmission distribution factor is positive, the load node and the power generation node increase bilateral transaction to relieve the blockage of the overload line.
4. The method as claimed in claim 1, wherein the percentage of the blocked lines in the power system at the priority level is:
Figure FDA0003217366550000031
Figure FDA0003217366550000032
in the formula,. DELTA.TkA decrement for transaction k; delta PGiReducing the amount of the generator participating in market trading; t iskA trading value for a trade k; pGiGenerating capacity for participating in market trading; i is a transaction.
5. A system for obtaining line blocking in an electrical power system, comprising:
the direct current power transmission distribution factor calculation module is used for calculating a direct current power transmission distribution factor of the power system according to parameters of the power system, wherein the direct current power transmission distribution factor of the power system is as follows:
Figure FDA0003217366550000033
in the formula, r and s are nodes at two ends of a line l in the power system respectively; x and y are respectively a generator node and a load node of the transaction i; xrsFor the reactance of a line l in an electric power systemA value; brx、bxy、bsx、bsyRespectively inverse of the node admittance matrix-1An element in l;
a matrix establishing module, configured to establish a priority matrix, where the priority matrix is:
Figure FDA0003217366550000041
in the formula, ρCDeciding a variable matrix for the bilateral transaction; rhoBDeciding a variable matrix for the consolidated transaction; r is the priority; n is a radical ofBThe number of bilateral transactions; n is a radical ofCThe number of centralized transactions;
the circuit blockage judging module is used for judging whether circuit blockage occurs in the power system under a certain priority level according to the direct current flow of the power system under the certain priority level;
the reduction proportion determining module is used for determining the reduction proportion of the blocked lines in the power system under the priority with line blockage according to the direct current power transmission distribution factor of the power system, and the specific process is as follows:
obtaining the relation between the direction of the direct current power transmission distribution factor and the direction of the blocking power flow according to the direct current power transmission distribution factor of the power system;
determining the reduction proportion of the blocked lines in the power system under the priority with line blockage according to the relation between the direction of the direct current power transmission distribution factor and the direction of the blocked power flow;
the proportional relation determining module is used for determining the proportional relation among the reduced electric quantities of the generators under the priority according to the reduction proportion of the blocked lines in the power system under the priority with the line blockage;
the circuit blocking result obtaining module is used for solving a pre-established circuit blocking model of the power system according to the proportional relation among the electric quantity reduction of each generator under the priority level to obtain a circuit blocking result of the power system under the priority level, and the circuit blocking model of the power system comprises a target function and a constraint condition;
A) an objective function:
Figure FDA0003217366550000042
in the formula, G is the number of nodes of the generator; delta PGiReducing the amount of the generator participating in market trading;
B) the constraint conditions of the power system comprise an equal proportion reduction constraint, a priority constraint, a power balance constraint, a line power flow constraint, a transaction constraint and a generator output constraint;
and (3) carrying out equal proportion reduction constraint:
Figure FDA0003217366550000043
Figure FDA0003217366550000044
in the formula, betakA cut scale factor for transaction k;
Figure FDA0003217366550000045
a decision variable with the priority r and the transaction k;
Figure FDA0003217366550000046
the transaction electric quantity is the bilateral transaction k;
Figure FDA0003217366550000047
the electric quantity is reduced for the bilateral transaction k; n is a radical ofBThe number of bilateral transactions;
and (3) priority constraint:
Figure FDA0003217366550000051
wherein R is priority;
Figure FDA0003217366550000052
reducing the electric quantity for the centralized transaction k; n is a radical ofCThe number of centralized transactions;
and power balance constraint:
Figure FDA0003217366550000053
in the formula, D is the number of load nodes; delta PDjLoad reduction for the node j;
and (3) line power flow constraint:
Figure FDA0003217366550000054
in the formula, Pl.0Is a line Pl.0The initial power flow of (a); pl.maxIs a line Pl.0A tidal current limit of (d);
Figure FDA0003217366550000055
a direct current power transmission distribution factor under bilateral transaction;
Figure FDA0003217366550000056
a direct current power transmission distribution factor under centralized transaction;
and (3) transaction constraint:
Figure FDA0003217366550000057
Figure FDA0003217366550000058
in the formula (I), the compound is shown in the specification,
Figure FDA0003217366550000059
for the transaction k of a central transactionThe electric quantity is easy to change;
and (3) output restraint of the generator:
Figure FDA00032173665500000510
in the formula (I), the compound is shown in the specification,
Figure FDA00032173665500000511
and
Figure FDA00032173665500000512
respectively representing the upper limit and the lower limit of the output of the generator node x of the transaction i; pGi.0The initial output of generator node x for trade i.
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CN104332991A (en) * 2014-10-29 2015-02-04 华东电网有限公司 Power grid power flow blocking dispatching method and power grid current margin assessment method
CN106972483A (en) * 2017-03-13 2017-07-21 东北电力大学 A kind of power system Calculation of Available Transfer Capability method for considering Demand Side Response
CN107785885A (en) * 2016-08-26 2018-03-09 中国电力科学研究院 A kind of bilateral electricity contract participates in the coordination optimizing method of balance of electric power and ener a few days ago

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CN104332991A (en) * 2014-10-29 2015-02-04 华东电网有限公司 Power grid power flow blocking dispatching method and power grid current margin assessment method
CN107785885A (en) * 2016-08-26 2018-03-09 中国电力科学研究院 A kind of bilateral electricity contract participates in the coordination optimizing method of balance of electric power and ener a few days ago
CN106972483A (en) * 2017-03-13 2017-07-21 东北电力大学 A kind of power system Calculation of Available Transfer Capability method for considering Demand Side Response

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