CN110135650A - The method of online planning stage low-voltage distribution system three-phase load optimization balanced arrangement - Google Patents
The method of online planning stage low-voltage distribution system three-phase load optimization balanced arrangement Download PDFInfo
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Abstract
The invention discloses a kind of methods of online planning stage low-voltage distribution system three-phase load optimization balanced arrangement, to determine the binary-coded phase sequence configuration strategy of low-voltage distribution system interior joint load access phase sequence as decision variable, it ensure that system topological structure having the same under various wiring conditions, and it need to only change logical variable value to change each node load phase sequence allocation plan, with the minimum objective function of total degree of unbalancedness of entire low-voltage distribution system, three-phase load optimization equilibrium problem is described as a mathematics optimization problem, establish the mathematical model that split-phase calculates branch current, and the topological structure of circuit model is described by matrix form, provide the computation model of total degree of unbalancedness, low-voltage distribution system three-phase load optimization balanced arrangement is set to be fully converted to the mathematical problem of a nonlinear optimization, and utilize genetic algorithm It solves the problems, such as this, does not need manually to participate in this way in scheme forming process, be easily programmed realization, and algorithm is simple, and can provide and meet the actual more excellent solution of engineering.
Description
Technical field
The present invention relates to low-voltage distribution method and technology fields, more particularly to online planning stage low-voltage distribution system three-phase is negative
The method of lotus optimization balanced arrangement.
Background technique
Currently, the work of low-voltage distribution system decreasing loss is the important link in the comprehensive Controlling line loss of electric power enterprise, meaning is very
It is great.China's low-voltage distribution system generally uses three-phase four-wire power supply, and three-phase imbalance phenomenon is more serious, causes additional net
Damage.Three-phase equilibrium optimization is carried out to single-phase load, the loss of low-voltage distribution system can be effectively reduced, is a kind of small investment, sees
Imitate fast decreasing loss method.User's majority in low-voltage distribution system is single-phase load user, is easy to cause three-phase imbalance, and three
Phase load user is also not absolute balance, this will generate electric current in the neutral conductor, leads to the increase of line loss, thus in low pressure
The three-phase equilibrium that load is carried out in distribution system can be effectively reduced grid line loss.Low pressure can be made by carrying out load three-phase equilibrium work
Distribution system line loss per unit declines 30%~50% again on the basis of existing, and effect is very significant.And carry out load three-phase equilibrium only
It needs the access to user mutually to adjust, does not need additionally to increase investment, therefore, three-phase equilibrium decreasing loss method is a kind of again
The decreasing loss method of simple economy.
In the low-voltage distribution system of three-phase four-wire system, three-phase load, single-phase load can be accessed easily, this is
One of the advantages of 380V/220V system.But since its mode of connection there are the diversified forms such as three-phase and four-line, single-phase-two-wire, make three
Phase electric network composition is difficult to remain three-phase symmetrical at load access.In addition, in the planning stage of route, in real work,
The wire type of part low-voltage distribution system, length are difficult to obtain, and bring certain difficulty to the realization of calculation procedure,
In the case that low-voltage distribution system single-phase load number of users is few, full enumeration optimizing can be used, this is to find the overall situation most
The best approach of excellent solution, but when single-phase load number of users is more, it is too many to enumerate assembled scheme entirely, solves Combinatorial Optimization and asks
The algorithm of topic is all difficult to solve, and at present in the real work of load three-phase equilibrium, used method is based on heuristic calculation
The gradually retroversion balancing method of method, heuristic are closer to the thinking of engineering staff, intuitive, flexible, are convenient for artificial participative decision making
And it can provide and meet actual more excellent solution, but non-critical optimization method, it is difficult to obtain optimal solution.This method is difficult to obtain not
The smallest balance scheme of the degree of balance, i.e., optimal load three-phase equilibrium allocation plan can only obtain the three-phase of an opposite optimization
Balance in problem solving or scheme forming process as a result, and need manually to participate in.
Summary of the invention
The object of the present invention is to provide online planning stage low-voltage distribution system three-phase load optimization balanced arrangement method,
It can make not needing manually to participate in prioritization scheme forming process, be easily programmed realization, and algorithm is simple, the scale solved the problems, such as
It is bigger, and can provide and meet the actual more excellent solution of engineering.
The technical solution adopted by the present invention are as follows:
In the method that the layout of roads stage optimizes configuration to low-voltage distribution system three-phase load, specific steps include:
Low-voltage distribution system is equivalent under various wiring conditions the equal symmetrical low-voltage distribution system of three-phase structure by step 1
System, and establish circuit model and determine three-phase load access phase in low-voltage distribution system that symmetrical configuration low-voltage distribution system simplifies
The binary-coded phase sequence configuration strategy of sequence:
(1) situation is accessed according to low-voltage distribution system load, is equivalent under various wiring conditions equal three-phase structure pair
The low-voltage distribution system of title；
The single-phase load of low-voltage distribution system is with the access of the single-phase-two-wire mode of connection, when single-phase load accesses a wherein phase
When, low-voltage distribution system structure just no longer three-phase symmetrical, makees circuit equivalent processing to single-phase load here at access load, with
It accesses for A phase, A phase accesses load SAIt remains unchanged, it is zero that B, C two-phase, which access load, even SB=SC=0, by single-phase-two-wire
Connection type is equivalent to three-phase and four-line connection type, then the structure of load bus access low-voltage distribution system becomes three-phase symmetrical knot
The three-phase four-wire system of structure, therefore when low-voltage distribution system load is single-phase load user, it is thus necessary to determine that single-phase load accesses phase sequence；
Two phase loads of low-voltage distribution system are with the access of the two-phase, three-wire mode of connection, when two phase loads access wherein two-phase
When, two phase loads are made circuit equivalent processing here by low-voltage distribution system structure just no longer three-phase symmetrical at access load, with
It accesses for A phase and B phase, A phase accesses load S with B phaseAAnd SBIt remains unchanged, it is zero that C phase, which accesses load, even SC=0, by two
Three line connection type of phase is equivalent to three-phase and four-line connection type, then it is opposite to become three for load bus access low-voltage distribution system structure
Claim the three-phase four-wire system of structure, therefore when low-voltage distribution system load is two phase load user, it is thus necessary to determine that load accesses phase sequence；
The three-phase load of low-voltage distribution system accesses low-voltage distribution system knot at load with the access of the three-phase and four-line mode of connection
Structure is the three-phase four-wire system of three-phase symmetrical structure；
(2) the characteristics of low-voltage distribution system symmetrical according to equivalent three-phase structure afterwards, simplified circuit model is established, by distribution
Step down side is as potential node, and equivalence is voltage magnitude and phase angle is constant known quantity；Remaining node is all that load connects
Access point, referred to as load bus；All loads are equivalent to the three-phase load of branch endpoint node concentration on feeder line, and are invariable power
That is PQ load, referred to as three-phase load；Feeder line branch uses lumped parameter model, therefore only one potential in low-voltage distribution system
Node, remaining node are load bus；Each branch is connected with two nodes in system in low-voltage distribution system, trend stream
Egress is known as branch beginning node, and trend flows into node and is known as branch endpoint node；
(3) the binary-coded phase sequence configuration strategy for determining three-phase load access phase sequence in low-voltage distribution system is established；
It introduces 0-1 logical variable and represents three-phase load access phase sequence, determine that low-voltage distribution system three-phase load accesses phase sequence
Phase sequence configuration strategy x, wherein x=[x1 x2 ... xj ... xN], andN matches for low pressure
The number of electric system load bus；In formula: xAj(i=1,2 ..., N), xBj(i=1,2 ..., N), xCj(i=1,2 ..., N), point
Not Wei three-phase load A, B, C three-phase access 0-1 logical variable corresponding to load, indicate matching for corresponding three-phase load access phase sequence
Set strategy, xAjA phase accesses load, x in=1 expression node j access three-phase loadAj=0 indicates A in node j access three-phase load
Load, x are not accessed mutuallyBjB phase accesses load, x in=1 expression node j access three-phase loadBj=0 indicates that node j accesses three-phase
B phase does not access load, x in loadCjC phase accesses load, x in=1 expression node j access three-phase loadCj=0 expression node j connects
Enter C phase in three-phase load and does not access load；
When the practical access single-phase load of j-th of three-phase load, then there is xAi+xBi+xCi=1 and xAi, xBi, xCi=1or 0；
When the practical access three-phase load of j-th of three-phase load, then there is xAi=xBi=xCi=1；
Step 2 establishes the mathematical model that low-voltage distribution system split-phase calculates branch current, comprising:
(1) branch and node of topological structure in circuit model are numbered, from the branch that is connected with potential node,
Number consecutively is 1,2,3 ..., and b, b are the circuitry number of distribution system；Potential node number is 0, and corresponding branch endpoint node is successively
Number is 1,3,4 ..., and n-1, n are the number of nodes of low-voltage distribution system, then N=n-1；For the sake of down-stream simplicity, number
When keep branch number identical as connected endpoint node number, then have b=n-1；
And the topological structure and design parameter of circuit model are stated by primary data matrix D S, primary data matrix D S
For b row, the matrixes of 6 column, wherein the i-th behavior:
DS (i :)=[y, NS (y), NR (y), L (y), X (NR (y)), S (NR (y))]；I=1,2 ..., b；Y is
I branch number, NS (y) are the number of i-th branch beginning node, and NR (y) is the number of i-th branch endpoint node, L
It (y) is i-th leg length, X (NR (y)) is the phase sequence configuration strategy for the three-phase load that endpoint node is NR (y), then X (NR
(y))=xj, S (NR (y)) is the three-phase load complex power that endpoint node is NR (y), as NR (y)=j,Work as xAjSaj=0 when=0, works as xAjSaj is the endpoint node j access of i-th branch when=1
The complex power of A phase load in three-phase load；Similarly, work as xBjSbj=0 when=0, works as xBjSbj is the end of i-th branch when=1
The complex power of B phase load in the three-phase load of node j access；Work as xCjScj=0 when=0, works as xCjScj is i-th branch when=1
Endpoint node j access three-phase load in C phase load complex power；J=1,2 ..., n-1；
(2) the node branch incidence matrix NB of circuit model, the association of node branch are constructed by primary data matrix D S
Matrix N B is n row, the matrix of b column, jth row the i-th column element NB (j, i) are as follows:
Wherein, j=1,2 ..., n, i=1,2 ..., b；
(3) path matrix flowed through by the trend of potential node to load bus is constructed according to node branch incidence matrix NB
P, path matrix P are (n-1) row, the matrix of b column, jth row the i-th column element P (j, i) are as follows:
Wherein, j=1,2 ..., n-1, i=1,2 ..., b；
It includes the following steps that trend from potential node 0 to load bus j, which flows through the judgement of branch:
1) (j+1) row element NB (j :) is traversed in NB matrix if NB (j, y)=1, it may be determined that branch y endpoint node is
j；
2) y column element NB (:, y) in NB matrix is traversed, if NB (z, y)=- 1, it may be determined that branch y beginning node is (z-
1)；
3) z row element NB (z :) in NB matrix is traversed, if NB (z, t)=1, it may be determined that branch t endpoint node is (z-
1)；
4) above step 2,3 is repeated, until branch beginning node is potential node 0；
It is then potential node 0 ... branch t, node (z-1), branch through path from potential node 0 to the trend of load bus j
Road y, load bus j；
(4) according to path matrix P and primary data matrix D S, the trend of potential node to load node flows through three are constructed
Load complex power matrix SBA, SBB and the SBC of the A phase of phase load, B phase and C phase；The load complex power matrix of A phase, B phase and C phase
SBA, SBB and SBC are b row, and the matrix of (n-1) column, the i-th row jth column element SBA (i, j), SBB (i, j), SBC (i, j) is respectively
Are as follows:
SBA (i, j)=P (i, j) * SA (j)；SBB (i, j)=P (i, j) * SB (j)；SBC (i, j)=P (i, j) * SC (j)；
Wherein, the endpoint node NR (y) of branch i=j, then SA (j)=DS (j, 6) (1,1)=Saj,
SB (j)=DS (j, 6) (2,1)=Sbj, SC (j)=DS (j, 6) (3,1)=Scj；I=1,2 ..., b, j=
1,2,......,n-1；
(5) split-phase calculates the branch current of low-voltage distribution system, specifically includes:
1) A phase, load current matrix LCA, LCB, LCC, the A phase of B phase and C phase, the load electricity of B phase and C phase be can be calculated
Matrix L CA is flowed, LCB, LCC are b row, the matrix of (n-1) column, wherein the i-th row jth column element are as follows:
Wherein, V0A, V0B, V0CRespectively A phase at three-phase imbalance distribution system low-pressure side transformer outlet, B phase, C phase electricity
Measured value is pressed,
I=1,2 ..., b；J=1 ..., n-1；
2) A phase, branch current matrix F CA, FCB and the FCC of B phase and C phase, A phase, the branch electricity of B phase and C phase be can be calculated
Flowing matrix F CA, FCB and FCC is b row, the matrix of 1 column, wherein the i-th row element are as follows:
Wherein, i=1,2 ..., b；J=1 ..., n-1；L=1,2 ..., i；
Then, the branch current of i-th branch A phase, B phase and C phase is IlAi=FCA (i, 1), IlBi=FCB (i, 1), IlCi
=FCC (i, 1)；
Wherein, i=1,2 ..., b；J=1 ..., n-1.
Step 3 establishes total degree of unbalancedness computation model of low-voltage distribution system:
Total degree of unbalancedness of low-voltage distribution systemWherein, i=1,2 ..., b；
λiIt is λ for the degree of unbalancedness of i-th branchAi,λBi,λCiIn maximum value, be denoted as: λi=max (λAi,λBi,λCi)；
λAi,λBi,λCiRespectively i-th branch A phase, the phase degree of unbalancedness of B phase and C phase,
In formula: IlAi、IlBi、IlCiRespectively i-th branch A phase, the branch current of B phase and C phase；IlaviFor i-th branch
The average line segment electric current on road, Ilavi=(IlAi+IlBi+IlCi)/3；
Low-voltage distribution system three-phase load optimization equilibrium problem is described as a mathematics optimization problem, used by step 4
Genetic algorithm is solved, and is provided and is met the actual more excellent solution of engineering；Specific step is as follows:
(1) it encodes: the low-voltage distribution system phase to determine three-phase imbalance low-voltage distribution system load user's access scheme
X is as decision variable for sequence configuration strategy；Binary Zero -1 is carried out to decision variable to encode；
(2) fitness function is formed: for the optimization allocation of low-voltage distribution system three-phase load, not with entire three-phase
Low-voltage distribution system load user is balanced, the minimum fitness letter of total degree of unbalancedness of all branches section under different access schemes
Number；
(3) it obtains initial population: providing the size of initial population, and same multiple different from each other with random fashion generation
Determine the configuration strategy of three-phase imbalance low-voltage distribution system three-phase load access phase sequence；
(4) initial population is calculated according to fitness function, select a part of optimal solution be copied directly to it is next
Generation, remaining individual carry out mutation operation, crossover operation with certain probability；
(5) when reaching the number of iterations of defined, algorithm is terminated, and stops operation, is exported and is determined low-voltage distribution system three
Phase load accesses the result of the configuration strategy of phase sequence.
It is symmetrical that three-phase imbalance low-voltage distribution system is equivalent under various wiring conditions equal three-phase structure first by the present invention
Low-voltage distribution system, and establish symmetrical configuration low-voltage distribution system simplify circuit model and determine system in three-phase load connect
Enter the binary-coded phase sequence configuration strategy of phase sequence；Then the mathematical modulo that low-voltage distribution system split-phase calculates branch current is established
Type reasonably numbers its topological structure, utilizes the initial data of matrix form storage distribution system, including topological structure
Relationship and electrical network parameter are inputted as unique data, directly solve low-voltage distribution using the algebraic operation of matrix element
Each branch current in system three-phase current, and establish the computation model of total degree of unbalancedness of low-voltage distribution system；Finally by low pressure
Power distribution system load three-phase optimization equilibrium problem is described as one, with the access of entire low-voltage distribution system single-phase load user's difference
The mathematical optimization problem of the minimum objective function of total degree of unbalancedness of all branches section, is asked using genetic algorithm under scheme
Solution, provides and meets the actual more excellent solution of engineering.
Detailed description of the invention
In order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, to embodiment or will show below
There is attached drawing needed in technical description to be briefly described, it should be apparent that, the accompanying drawings in the following description is only this
Some embodiments of invention for those of ordinary skill in the art without creative efforts, can be with
It obtains other drawings based on these drawings.
Fig. 1 is calculating process flow chart of the present invention；
Fig. 2 is to access situation according to low-voltage distribution system load described in the embodiment of the present invention, is equivalent to various wiring
In the case of equal three-phase structure symmetrical low-voltage distribution systems schematic diagram；
Fig. 3 is that low-voltage distribution system described in the embodiment of the present invention simplifies circuit model schematic；
Fig. 4 is the flow chart that low-voltage distribution system split-phase of the present invention calculates each branch current；
Fig. 5 is circuit model branch node number schematic diagram described in the embodiment of the present invention；
Fig. 6 is that 9 trend flows through branch and sentences from potential node to load bus in circuit model described in the embodiment of the present invention
Determine schematic diagram；
Fig. 7 is that the present invention uses genetic algorithm to optimize balanced arrangement flow chart to low-voltage distribution system three-phase load.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, those of ordinary skill in the art are obtained every other under that premise of not paying creative labor
Embodiment shall fall within the protection scope of the present invention.
As shown in Figure 1,2 and 3, specific steps of the present invention include:
Low-voltage distribution system is equivalent under various wiring conditions the equal symmetrical low-voltage distribution system of three-phase structure by step 1
System, and establish circuit model and determine three-phase load access phase in low-voltage distribution system that symmetrical configuration low-voltage distribution system simplifies
The binary-coded phase sequence configuration strategy of sequence:
(1) situation is accessed according to low-voltage distribution system load, is equivalent under various wiring conditions equal three-phase structure pair
The low-voltage distribution system of title；
The single-phase load of low-voltage distribution system is with the access of the single-phase-two-wire mode of connection, when single-phase load accesses a wherein phase
When, low-voltage distribution system structure just no longer three-phase symmetrical, makees circuit equivalent processing to single-phase load here at access load, with
It accesses for A phase, A phase accesses load SAIt remains unchanged, it is zero that B, C two-phase, which access load, even SB=SC=0, by single-phase-two-wire
Connection type is equivalent to three-phase and four-line connection type, then the structure of load bus access low-voltage distribution system becomes three-phase symmetrical knot
The three-phase four-wire system of structure, therefore when low-voltage distribution system load is single-phase load user, it is thus necessary to determine that single-phase load accesses phase sequence；
Two phase loads of low-voltage distribution system are with the access of the two-phase, three-wire mode of connection, when two phase loads access wherein two-phase
When, two phase loads are made circuit equivalent processing here by low-voltage distribution system structure just no longer three-phase symmetrical at access load, with
It accesses for A phase and B phase, A phase accesses load S with B phaseAAnd SBIt remains unchanged, it is zero that C phase, which accesses load, even SC=0, by two
Three line connection type of phase is equivalent to three-phase and four-line connection type, then it is opposite to become three for load bus access low-voltage distribution system structure
Claim the three-phase four-wire system of structure, therefore when low-voltage distribution system load is two phase load user, it is thus necessary to determine that load accesses phase sequence；
The three-phase load of low-voltage distribution system accesses low-voltage distribution system knot at load with the access of the three-phase and four-line mode of connection
Structure is the three-phase four-wire system of three-phase symmetrical structure；
(2) the characteristics of low-voltage distribution system symmetrical according to equivalent three-phase structure afterwards, simplified circuit model is established, by distribution
Step down side is as potential node, and equivalence is voltage magnitude and phase angle is constant known quantity；Remaining node is all that load connects
Access point, referred to as load bus；All loads are equivalent to the three-phase load of branch endpoint node concentration on feeder line, and are invariable power
That is PQ load, referred to as three-phase load；Feeder line branch uses lumped parameter model, therefore only one potential in low-voltage distribution system
Node, remaining node are load bus；Each branch is connected with two nodes in system in low-voltage distribution system, trend stream
Egress is known as branch beginning node, and trend flows into node and is known as branch endpoint node；
(3) the binary-coded phase sequence configuration strategy for determining three-phase load access phase sequence in low-voltage distribution system is established；
It introduces 0-1 logical variable and represents three-phase load access phase sequence, determine that low-voltage distribution system three-phase load accesses phase sequence
Phase sequence configuration strategy x, wherein x=[x1 x2 ... xj ... xN], andN matches for low pressure
The number of electric system load bus；In formula: xAj(i=1,2 ..., N), xBj(i=1,2 ..., N), xCj(i=1,2 ..., N), point
Not Wei three-phase load A, B, C three-phase access 0-1 logical variable corresponding to load, indicate matching for corresponding three-phase load access phase sequence
Set strategy, xAjA phase accesses load, x in=1 expression node j access three-phase loadAj=0 indicates A in node j access three-phase load
Load, x are not accessed mutuallyBjB phase accesses load, x in=1 expression node j access three-phase loadBj=0 indicates that node j accesses three-phase
B phase does not access load, x in loadCjC phase accesses load, x in=1 expression node j access three-phase loadCj=0 expression node j connects
Enter C phase in three-phase load and does not access load；
Step 2 establishes the mathematical model that low-voltage distribution system split-phase calculates branch current, comprising:
(1) branch and node of topological structure in circuit model are numbered, from the branch that is connected with potential node,
Number consecutively is 1,2,3 ..., and b, b are the circuitry number of distribution system；Potential node number is 0, and corresponding branch endpoint node is successively
Number is 1,3,4 ..., and n-1, n are the number of nodes of low-voltage distribution system, then N=n-1；For the sake of down-stream simplicity, number
When keep branch number identical as connected endpoint node number, then have b=n-1；
And the topological structure and design parameter of circuit model are stated by primary data matrix D S, primary data matrix D S
For b row, the matrixes of 6 column, wherein the i-th behavior:
DS (i :)=[y, NS (y), NR (y), L (y), X (NR (y)), S (NR (y))]；I=1,2 ..., b；Y is
I branch number, NS (y) are the number of i-th branch beginning node, and NR (y) is the number of i-th branch endpoint node, L
It (y) is i-th leg length, X (NR (y)) is the phase sequence configuration strategy for the three-phase load that endpoint node is NR (y), then X (NR
(y))=xj, S (NR (y)) is the three-phase load complex power that endpoint node is NR (y), as NR (y)=j,Work as xAjSaj=0 when=0, works as xAjSaj is the endpoint node j access of i-th branch when=1
The complex power of A phase load in three-phase load；Similarly, work as xBjSbj=0 when=0, works as xBjSbj is the end of i-th branch when=1
The complex power of B phase load in the three-phase load of node j access；Work as xCjScj=0 when=0, works as xCjScj is i-th branch when=1
Endpoint node j access three-phase load in C phase load complex power；J=1,2 ..., n-1；
(2) the node branch incidence matrix NB of circuit model, the association of node branch are constructed by primary data matrix D S
Matrix N B is n row, the matrix of b column, jth row the i-th column element NB (j, i) are as follows:
Wherein, j=1,2 ..., n, i=1,2 ..., b；
(3) path matrix flowed through by the trend of potential node to load bus is constructed according to node branch incidence matrix NB
P, path matrix P are (n-1) row, the matrix of b column, jth row the i-th column element P (j, i) are as follows:
Wherein, j=1,2 ..., n-1, i=1,2 ..., b；
It includes the following steps that trend from potential node 0 to load bus j, which flows through the judgement of branch:
5) (j+1) row element NB (j :) is traversed in NB matrix if NB (j, y)=1, it may be determined that branch y endpoint node is
j；
6) y column element NB (:, y) in NB matrix is traversed, if NB (z, y)=- 1, it may be determined that branch y beginning node is (z-
1)；
7) z row element NB (z :) in NB matrix is traversed, if NB (z, t)=1, it may be determined that branch t endpoint node is (z-
1)；
8) above step 6 is repeated), 7), until branch beginning node is potential node 0；
It is then potential node 0 ... branch t, node (z-1), branch through path from potential node 0 to the trend of load bus j
Road y, load bus j；
(4) according to path matrix P and primary data matrix D S, the trend of potential node to load node flows through three are constructed
Load complex power matrix SBA, SBB and the SBC of the A phase of phase load, B phase and C phase；The load complex power matrix of A phase, B phase and C phase
SBA, SBB and SBC are b row, and the matrix of (n-1) column, the i-th row jth column element SBA (i, j), SBB (i, j), SBC (i, j) is respectively
Are as follows:
SBA (i, j)=P (i, j) * SA (j)；SBB (i, j)=P (i, j) * SB (j)；SBC (i, j)=P (i, j) * SC (j)；
Wherein, the endpoint node NR (y) of branch i=j, then SA (j)=DS (j, 6) (1,1)=Saj,
SB (j)=DS (j, 6) (2,1)=Sbj, SC (j)=DS (j, 6) (3,1)=Scj；I=1,2 ..., b, j=
1,2,......,n-1；
(5) split-phase calculates the branch current of low-voltage distribution system, specifically includes:
1) A phase, load current matrix LCA, LCB, LCC, the A phase of B phase and C phase, the load electricity of B phase and C phase be can be calculated
Matrix L CA is flowed, LCB, LCC are b row, the matrix of (n-1) column, wherein the i-th row jth column element are as follows:
Wherein, V0A, V0B, V0CRespectively A phase at three-phase imbalance distribution system low-pressure side transformer outlet, B phase, C phase electricity
Measured value is pressed,
I=1,2 ..., b；J=1 ..., n-1；
2) A phase, branch current matrix F CA, FCB and the FCC of B phase and C phase, A phase, the branch electricity of B phase and C phase be can be calculated
Flowing matrix F CA, FCB and FCC is b row, the matrix of 1 column, wherein the i-th row element are as follows:
Wherein, i=1,2 ..., b；J=1 ..., n-1；L=1,2 ..., i；
Then, the branch current of i-th branch A phase, B phase and C phase is IlAi=FCA (i, 1), IlBi=FCB (i, 1), IlCi
=FCC (i, 1)；
Wherein, i=1,2 ..., b；J=1 ..., n-1.
Step 3 establishes total degree of unbalancedness computation model of low-voltage distribution system:
Total degree of unbalancedness of low-voltage distribution systemWherein, i=1,2 ..., b；
λiIt is λ for the degree of unbalancedness of i-th branchAi,λBi,λCiIn maximum value, be denoted as: λi=max (λAi,λBi,λCi)；
λAi,λBi,λCiRespectively i-th branch A phase, the phase degree of unbalancedness of B phase and C phase,
In formula: IlAi、IlBi、IlCiRespectively i-th branch A phase, the branch current of B phase and C phase；IlaviFor i-th branch
The average line segment electric current on road, Ilavi=(IlAi+IlBi+IlCi)/3；
Low-voltage distribution system three-phase load optimization equilibrium problem is described as a mathematics optimization problem, used by step 4
Genetic algorithm is solved, and is provided and is met the actual more excellent solution of engineering；Specific step is as follows:
(1) it encodes: the low-voltage distribution system phase to determine three-phase imbalance low-voltage distribution system load user's access scheme
X is as decision variable for sequence configuration strategy；Binary Zero -1 is carried out to decision variable to encode；
(2) fitness function is formed: for the optimization allocation of low-voltage distribution system three-phase load, not with entire three-phase
Low-voltage distribution system load user is balanced, the minimum fitness letter of total degree of unbalancedness of all branches section under different access schemes
Number；
(3) it obtains initial population: providing the size of initial population, and same multiple different from each other with random fashion generation
Determine the configuration strategy of three-phase imbalance low-voltage distribution system three-phase load access phase sequence；
(4) initial population is calculated according to fitness function, select a part of optimal solution be copied directly to it is next
Generation, remaining individual carry out mutation operation, crossover operation with certain probability；
(5) when reaching the number of iterations of defined, algorithm is terminated, and stops operation, is exported and is determined low-voltage distribution system three
Phase load accesses the result of the configuration strategy of phase sequence.
In order to further illustrate the present invention, method of the invention is further explained with specific example below
It is bright.
Referring to Fig. 1, a kind of layout of roads stage that the present invention provides, which optimizes low-voltage distribution system three-phase load, matches
The method set, specific steps include:
Electric system is equivalent under various wiring conditions the symmetrical low-voltage distribution system of equal three-phase structure, and built by step 1
The circuit model and determine that three-phase load accesses the two of phase sequence in low-voltage distribution system that vertical symmetrical configuration low-voltage distribution system simplifies
The phase sequence configuration strategy of scale coding:
(1) referring to fig. 2, situation is accessed according to low-voltage distribution system load, is equivalent to equal three under various wiring conditions
The symmetrical low-voltage distribution system of phase structure；
The single-phase load of low-voltage distribution system is with the access of the single-phase-two-wire mode of connection, when single-phase load accesses a wherein phase
When, low-voltage distribution system structure just no longer three-phase symmetrical, makees circuit equivalent processing to single-phase load here at access load, with
It accesses for A phase, A phase accesses load SAIt remains unchanged, it is zero that B, C two-phase, which access load, even SB=SC=0, by single-phase-two-wire
Connection type is equivalent to three-phase and four-line connection type, then the structure of load bus access low-voltage distribution system becomes three-phase symmetrical knot
The three-phase four-wire system of structure, therefore when low-voltage distribution system load is single-phase load user, it is thus necessary to determine that single-phase load accesses phase sequence；
Two phase loads of low-voltage distribution system are with the access of the two-phase, three-wire mode of connection, when two phase loads access wherein two-phase
When, two phase loads are made circuit equivalent processing here by low-voltage distribution system structure just no longer three-phase symmetrical at access load, with
It accesses for A phase and B phase, A phase accesses load S with B phaseAAnd SBIt remains unchanged, it is zero that C phase, which accesses load, even SC=0, by two
Three line connection type of phase is equivalent to three-phase and four-line connection type, then it is opposite to become three for load bus access low-voltage distribution system structure
Claim the three-phase four-wire system of structure, therefore when low-voltage distribution system load is two phase load user, it is thus necessary to determine that load accesses phase sequence；
The three-phase load of low-voltage distribution system accesses low-voltage distribution system knot at load with the access of the three-phase and four-line mode of connection
Structure is the three-phase four-wire system structure of three-phase symmetrical structure；
(2) referring to figs. 2 and 3, according to the symmetrical low-voltage distribution system feature of equivalent rear three-phase structure, simplified electricity is established
Road model, using distribution transformer low-pressure side as potential node 1, equivalence is voltage magnitude and phase angle is constant known quantity and assumes
Three-phase voltage is symmetrical；Remaining node is all load bus 3, and all loads are equivalent to the three-phase load 2 of end concentration on feeder line, is born
The three-phase load 2 that lotus node 3 accesses is three-phase load, and is invariable power, that is, PQ load, and feeder line branch uses lumped parameter model,
Therefore only one potential node 1 in power distribution network, remaining node are load bus 3；Each branch 4 and system in distribution system
In two nodes be connected, trend outflow node is known as branch beginning node 5, and trend flows into node and is known as branch endpoint node 6；
(3) the binary-coded phase sequence configuration strategy for determining three-phase load access phase sequence in low-voltage network is established；
It introduces 0-1 logical variable and represents three-phase load access phase sequence, determine that low-voltage distribution system three-phase load accesses phase sequence
Phase sequence configuration strategy x, wherein x=[x1 x2 ... xj ... xN], andN matches for low pressure
The number of electric system load bus；In formula: xAj(i=1,2 ..., N), xBj(i=1,2 ..., N), xCj(i=1,2 ..., N), point
Not Wei three-phase load A, B, C three-phase access 0-1 logical variable corresponding to load, indicate matching for corresponding three-phase load access phase sequence
Set strategy, xAjA phase accesses load, x in=1 expression node j access three-phase loadAj=0 indicates A in node j access three-phase load
Load, x are not accessed mutuallyBjB phase accesses load, x in=1 expression node j access three-phase loadBj=0 indicates that node j accesses three-phase
B phase does not access load, x in loadCjC phase accesses load, x in=1 expression node j access three-phase loadCj=0 expression node j connects
Enter C phase in three-phase load and does not access load；
Step 2 establishes the mathematical model that three-phase circuit split-phase calculates branch current referring to fig. 4；Including the following steps:
(1) circuit model according to distribution system after equivalent, to the branch and node in the topological structure of simplified circuit model Fig. 3
It is numbered as shown in Figure 5；Wherein, for branch from the branch that is connected with potential node, number consecutively is [1], [2], [3] ...
[9], the circuitry number b of distribution system is 9；Source node number is 0, and corresponding branch endpoint node number consecutively is 1,3,4 ... 9,
The number of nodes n of distribution system is 10, including a source node, 9 load bus；For the sake of down-stream simplicity, compile here
Number when keep branch number identical as connected endpoint node number；In order to both distinguish in figure, carry out plus the differentiation of bracket,
But the two is identical reference numeral in actual use.
And stated by primary data matrix D S circuit model topological relation and design parameter it is as follows:
Wherein, primary data matrix D S is 9 rows, and the matrix of 5 column, X (j) is the three-phase that the endpoint node of i-th branch is j
The phase sequence configuration strategy of load,Work as xAjSaj=0 when=0, works as xAjSaj is i-th branch when=1
The complex power of A phase load in the three-phase load of the endpoint node j access on road；Similarly, work as xBjSbj=0 when=0, works as xBjWhen=1
Sbj is the complex power of B phase load in the three-phase load of the endpoint node j access of i-th branch；Work as xCjScj=0 when=0, when
xCjScj is the complex power of C phase load in the three-phase load of the endpoint node j access of i-th branch when=1；I=1,
2 ..., 9, j=1,2 ..., 9；
(2) the node branch incidence matrix NB that can construct distribution system by primary data matrix D S is as follows:
(3) the path square flowed through according to node branch incidence matrix NB and construction by the trend of potential node to load node
Battle array P is as follows:
Referring to Fig. 6, for flowing through the decision process of branch to 9 trend of node from potential node 0, specific decision process institute
Show, including the following steps:
1) the 10th row element NB (10 :) NB (10,9)=1 in NB matrix is traversed, it may be determined that 9 endpoint node of branch is 9；
2) the 9th column element NB (:, 9), NB (4,9)=- 1 in NB matrix are traversed, it may be determined that 9 beginning node of branch is 3；
3) the 4th row element NB (4 :), NB (4,3)=1 in NB matrix are traversed, it may be determined that 3 endpoint node of branch is 3；
4) the 3rd column element NB (:, 3), NB (3,3)=- 1 in NB matrix are traversed, it may be determined that 3 beginning node of branch is 2；
5) the 2nd row element NB (3 :), NB (3,2)=1 in NB matrix are traversed, it may be determined that 2 endpoint node of branch is 2；
6) the 2nd column element NB (:, 2), NB (2,2)=- 1 in NB matrix are traversed, it may be determined that 2 beginning node of branch is 1；
7) the 2nd row element NB (2 :), NB (2,1)=1 in NB matrix are traversed, it may be determined that 1 endpoint node of branch is 1；
8) the 1st column element NB (:, 1), NB (1,1)=- 1 in NB matrix are traversed, it may be determined that 1 beginning node of branch is 0；
Then from potential node 0 to the trend of node j through path be potential node 0, branch 1, node 1, branch 2, node 2,
Branch 3, node 3, branch 9, node 9.
(4) according to path matrix P and primary data matrix D S, the trend of potential node to load node flows through three are constructed
Load complex power matrix SBA, SBB and the SBC of the A phase of phase load, B phase and C phase；The load complex power matrix of A phase, B phase and C phase
SBA, SBB and SBC are b row, and the matrix of (n-1) column, the i-th row jth column element SBA (i, j), SBB (i, j), SBC (i, j) is respectively
Are as follows:
SBA (i, j)=P (i, j) * SA (j)；SBB (i, j)=P (i, j) * SB (j)；SBC (i, j)=P (i, j) * SC (j)；
Wherein, the endpoint node NR (y) of branch i=j, then SA (j)=DS (j, 6) (1,1)=Saj,
SB (j)=DS (j, 6) (2,1)=Sbj, SC (j)=DS (j, 6) (3,1)=Scj；I=1,2 ..., b, j=
1,2,......,n-1；
(5) split-phase calculates the branch current of low-voltage distribution system, specifically includes:
1) A phase, load current matrix LCA, LCB, LCC, the A phase of B phase and C phase, the load electricity of B phase and C phase be can be calculated
Matrix L CA is flowed, LCB, LCC are b row, the matrix of (n-1) column, wherein the i-th row jth column element are as follows:
Wherein, V0A, V0B, V0CRespectively A phase at three-phase imbalance distribution system low-pressure side transformer outlet, B phase, C phase electricity
Measured value is pressed,
I=1,2 ..., b；J=1 ..., n-1；
2) A phase, branch current matrix F CA, FCB and the FCC of B phase and C phase, A phase, the branch electricity of B phase and C phase be can be calculated
Flowing matrix F CA, FCB and FCC is b row, the matrix of 1 column, wherein the i-th row element are as follows:
Wherein, i=1,2 ..., b；J=1 ..., n-1；L=1,2 ..., i；
Then, the branch current of i-th branch A phase, B phase and C phase is IlAi=FCA (i, 1), IlBi=FCB (i, 1), IlCi
=FCC (i, 1)；
Wherein, i=1,2 ..., b；J=1 ..., n-1.
Then have the A phase complex power matrix SBA of the three-phase load flowed through from potential node to the trend of load node as follows:
It can be calculated the current matrix LCA of A phase
The branch current matrix F CA of A phase, B phase and C phase are as follows:
I-th branch A phase branch current is IlAi=FCA (i, 1), wherein i=1,2 ..., 9；
The branch current Il of B phase and C phase can similarly be obtainedBi=FCA (i, 1), IlCi=FCA (i, 1), wherein i=1,
2,......,9。
Step 3 establishes total degree of unbalancedness computation model of low-voltage distribution system:
Total degree of unbalancedness of low-voltage distribution systemWherein,I=1,2 ..., 9；
λiIt is λ for the degree of unbalancedness of i-th branchAi,λBi,λCiIn maximum value, be denoted as: λi=max (λAi,λBi,λCi)；
λAi,λBi,λCiRespectively i-th branch A phase, the phase degree of unbalancedness of B phase and C phase,
In formula: IlAi、IlBi、IlCiRespectively i-th branch A phase, the branch current of B phase and C phase；IlaviFor i-th branch
The average line segment electric current on road, Ilavi=(IlAi+IlBi+IlCi)/3；
Step 4, low-voltage distribution system load three-phase optimization equilibrium problem is described as a mathematics optimization problem, using something lost
Propagation algorithm is solved, and is provided and is met the actual more excellent solution of engineering；Referring to Fig. 7, the specific steps are as follows:
(1) it encodes: the low-voltage distribution system phase sequence configuration strategy x to determine low-voltage distribution system load user's access scheme
As decision variable；Binary Zero -1 is carried out to decision variable to encode；
(2) fitness function is formed: for the optimization allocation of low-voltage distribution system three-phase load, not with entire three-phase
Low-voltage distribution system load user is balanced, the minimum fitness letter of total degree of unbalancedness of all branches section under different access schemes
Number；
(3) it obtains initial population: providing the size of initial population, and same multiple different from each other with random fashion generation
Determine the phase sequence configuration strategy of low-voltage distribution system three-phase load access phase sequence；
Optimal, if a certain node access load is the three-phase load perhaps two phase loads three-phase load or two-phase
Load access phase sequence does not change when three-phase load is distributed rationally, and only changing three-phase load is single-phase load access phase sequence
Phase sequence configuration strategy；
When access single-phase load as practical such as node j, the binary coding of the phase sequence configuration strategy of the three-phase load is xj=
[xAj xBj xCj]T:
In formula: μ is that [0,1] is uniformly distributed the random number in section, whenSingle-phase load access A phase is represented, whenSingle-phase load access B phase is represented, whenRepresent single-phase load access C phase；
(4) initial population is calculated according to fitness function, select a part of optimal solution be copied directly to it is next
Generation, remaining individual carry out mutation operation, crossover operation with certain probability；
(5) when reaching the number of iterations of defined, algorithm is terminated, and stops operation, is exported and is determined three-phase imbalance low pressure
Distribution system three-phase load accesses the result of the configuration strategy of phase sequence.
Plan is configured with the binary-coded phase sequence for determining three-phase load access phase sequence in low-voltage distribution system in the present invention
It is slightly decision variable, ensure that low-voltage distribution system topological structure having the same under various wiring conditions, and need to only change
Become logical variable value to change each three-phase load phase sequence allocation plan, with total degree of unbalancedness minimum of entire low-voltage distribution system
For objective function, low-voltage distribution system three-phase load optimization equilibrium problem is described as a mathematics optimization problem, establishes split-phase
The mathematical model of low-voltage distribution system branch current is calculated, and describes the topological structure of circuit model by matrix form, is provided
The computation model of total degree of unbalancedness of low-voltage distribution system turns low-voltage distribution system three-phase load optimization balanced arrangement completely
The mathematical problem of a nonlinear optimization is turned to, and solves the problems, such as this using genetic algorithm, in this way in scheme forming process
It does not need manually to participate in, is easily programmed realization, and algorithm is simple, what is solved the problems, such as is larger, and can provide and meet engineering
Actual more excellent solution.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all in essence of the invention
Within mind and principle, any modification, equivalent replacement, improvement and so on be should all be included in the protection scope of the present invention.
Claims (6)
1. the method for online planning stage low-voltage distribution system three-phase load optimization balanced arrangement, it is characterised in that: including
Specific steps include:
Low-voltage distribution system is equivalent under various wiring conditions the symmetrical low-voltage distribution system of equal three-phase structure by step 1, and
Establish the circuit model and determine three-phase load access phase sequence in low-voltage distribution system that symmetrical configuration low-voltage distribution system simplifies
Binary-coded phase sequence configuration strategy:
1-1 accesses situation according to low-voltage distribution system load, it is symmetrical to be equivalent under various wiring conditions equal three-phase structure
Low-voltage distribution system；
The single-phase load of low-voltage distribution system is being connect when single-phase load accesses a wherein phase with the access of the single-phase-two-wire mode of connection
Enter at load low-voltage distribution system structure just no longer three-phase symmetrical, circuit equivalent processing is made to single-phase load here, access is mutually born
Charge values are constant, do not access equivalent as access zero load, single-phase-two-wire connection type is equivalent to three-phase and four-line connection type,
Then the structure of load bus access low-voltage distribution system becomes the symmetrical three-phase four-wire system of three-phase structure；
Two phase loads of low-voltage distribution system are with the access of the two-phase, three-wire mode of connection, when two phase loads access wherein two-phase,
Low-voltage distribution system structure just no longer three-phase symmetrical is accessed at load, circuit equivalent processing is made to two phase loads here, accesses phase
Load value is constant, does not access equivalent as access zero load, two-phase, three-wire connection type is equivalent to three-phase and four-line wiring shape
Formula, then load bus access low-voltage distribution system structure becomes the three-phase four-wire system of three-phase symmetrical structure；
With the access of the three-phase and four-line mode of connection, access low-voltage distribution system structure at load is the three-phase load of low-voltage distribution system
The three-phase four-wire system of three-phase symmetrical structure；
The characteristics of 1-2, low-voltage distribution system symmetrical according to equivalent three-phase structure afterwards, simplified circuit model is established, distribution is become
Depressor low-pressure side is as potential node, and equivalence is voltage magnitude and phase angle is constant known quantity；Remaining node is all load access
Point, referred to as load bus；All loads are equivalent to the three-phase load of branch endpoint node concentration on feeder line, and referred to as three-phase is negative
Lotus；Feeder line branch uses lumped parameter model, therefore only one potential node in low-voltage distribution system, remaining node is load section
Point；Each branch is connected with two nodes in system in low-voltage distribution system, and trend outflow node is known as branch beginning section
Point, trend flow into node and are known as branch endpoint node；
1-3 establishes the binary-coded phase sequence configuration strategy for determining three-phase load access phase sequence in low-voltage distribution system；
Step 2 establishes the mathematical model that low-voltage distribution system split-phase calculates branch current, comprising:
2-1, in circuit model topological structure branch and node be numbered, from the branch that is connected with potential node, according to
Secondary number is 1,2,3 ..., and b, b are the circuitry number of distribution system；Potential node number is 0, and corresponding branch endpoint node is successively compiled
Number being 1,3,4 ..., n-1, n are the number of nodes of low-voltage distribution system, then N=n-1；In order to down-stream it is easy for the sake of, when number
Keep branch number identical as connected endpoint node number, then has b=n-1；
And the topological structure and design parameter of circuit model are stated by primary data matrix D S, primary data matrix D S is b
Row, the matrix of 6 column, wherein the i-th behavior: DS (i :)=[y, NS (y), NR (y), L (y), X (NR (y)), S (NR (y))]；I=
1,2,......,b；Y is i-th branch number, and NS (y) is the number of i-th branch beginning node, and NR (y) is i-th branch
The number of endpoint node, L (y) are i-th leg length, and X (NR (y)) is the phase sequence for the three-phase load that endpoint node is NR (y)
Configuration strategy, then X (NR (y))=xj, S (NR (y)) is the three-phase load complex power that endpoint node is NR (y), as NR (y)=j
When,Work as xAjSaj=0 when=0, works as xAjSaj is the endpoint node j access of i-th branch when=1
Three-phase load in A phase load complex power；Similarly, work as xBjSbj=0 when=0, works as xBjSbj is the end of i-th branch when=1
The complex power of B phase load in the three-phase load of end node j access；Work as xCjScj=0 when=0, works as xCjScj is i-th branch when=1
The complex power of C phase load in the three-phase load of the endpoint node j access on road；J=1,2 ..., n-1；
2-2 constructs the node branch incidence matrix NB of circuit model, node branch incidence matrix by primary data matrix D S
NB is n row, the matrix of b column, jth row the i-th column element NB (j, i) are as follows:
Wherein, j=1,2 ..., n, i=1,2 ..., b；
2-3 constructs the path matrix P flowed through by the trend of potential node to load bus according to node branch incidence matrix NB,
Path matrix P is (n-1) row, the matrix of b column, jth row the i-th column element P (j, i) are as follows:
Wherein, j=1,2 ..., n-1, i=1,2 ..., b；
2-4 constructs the three-phase that the trend of potential node to load node flows through according to path matrix P and primary data matrix D S
Load complex power matrix SBA, SBB and the SBC of the A phase of load, B phase and C phase；The load complex power matrix of A phase, B phase and C phase
SBA, SBB and SBC are b row, and the matrix of (n-1) column, the i-th row jth column element SBA (i, j), SBB (i, j), SBC (i, j) is respectively
Are as follows:
SBA (i, j)=P (i, j) * SA (j)；SBB (i, j)=P (i, j) * SB (j)；SBC (i, j)=P (i, j) * SC (j)；
Wherein, the endpoint node NR (y) of branch i=j, then SA (j)=DS (j, 6) (1,1)=Saj, SB (j)=DS (j, 6) (2,
1)=Sbj, SC (j)=DS (j, 6) (3,1)=Scj；I=1,2 ..., b, j=1,2 ..., n-1；
2-5, split-phase calculate the branch current of low-voltage distribution system；
Step 3 establishes total degree of unbalancedness computation model of low-voltage distribution system:
Total degree of unbalancedness of low-voltage distribution systemWherein, i=1,2 ..., b；
λiIt is λ for the degree of unbalancedness of i-th branchAi,λBi,λCiIn maximum value, be denoted as:
λi=max (λAi,λBi,λCi)；
λAi,λBi,λCiRespectively i-th branch A phase, the phase degree of unbalancedness of B phase and C phase,
In formula: IlAi、IlBi、IlCiRespectively i-th branch A phase, the branch current of B phase and C phase；IlaviFor i-th branch
Average line segment electric current, Ilavi=(IlAi+IlBi+IlCi)/3；
Low-voltage distribution system three-phase load optimization equilibrium problem is described as a mathematics optimization problem, using heredity by step 4
Algorithm is solved to arrive allocation optimum scheme.
2. the method described in claim 1 that configuration is optimized to low-voltage distribution system three-phase load in the layout of roads stage,
It is characterized in that, if the three-phase is negative when the practical access load of a certain node is three-phase load or two phase loads in step 4
Lotus or two phase loads access phase sequence do not change when three-phase load is distributed rationally, and only changing practical access is single-phase load
Access phase sequence phase sequence configuration strategy.
3. the method described in claim 1 that configuration is optimized to low-voltage distribution system three-phase load in the layout of roads stage,
It is characterized in that, the step 1-3 specifically comprises the following steps:
It introduces 0-1 logical variable and represents three-phase load access phase sequence, determine the phase of low-voltage distribution system three-phase load access phase sequence
Sequence configuration strategy x, wherein x=[x1 x2 ... xj ... xN], andN is low-voltage distribution system
The number of system load bus；In formula: xAj(i=1,2 ..., N), xBj(i=1,2 ..., N), xCj(i=1,2 ..., N), respectively
Three-phase load A, B, C three-phase accesses 0-1 logical variable corresponding to load, indicates the configuration plan of corresponding three-phase load access phase sequence
Slightly, xAjA phase accesses load, x in=1 expression node j access three-phase loadAj=0 indicates that A phase is not in node j access three-phase load
Access load, xBjB phase accesses load, x in=1 expression node j access three-phase loadBj=0 indicates that node j accesses three-phase load
Middle B phase does not access load, xCjC phase accesses load, x in=1 expression node j access three-phase loadCj=0 indicates node j access three
C phase does not access load in phase load.
4. the method for online planning stage low-voltage distribution system three-phase load optimization balanced arrangement according to claim 1,
It is characterized by: the judgement that the trend from potential node 0 to load bus j flows through branch includes following in the step 2-3
Several steps:
(j+1) row element NB (j :) is traversed in NB matrix if NB (j, y)=1, it may be determined that branch y endpoint node is j；
Y column element NB (:, y) in NB matrix is traversed, if NB (z, y)=- 1, it may be determined that branch y beginning node is (z-1)；
Z row element NB (z :) in NB matrix is traversed, if NB (z, t)=1, it may be determined that branch t endpoint node is (z-1)；
Above step 2,3 is repeated, until branch beginning node is potential node 0.
5. the method for online planning stage low-voltage distribution system three-phase load optimization balanced arrangement according to claim 1,
It is characterized by: the step 2-5 specifically comprises the following steps:
2-5-1 can be calculated A phase, load current matrix LCA, LCB, LCC, the A phase of B phase and C phase, the load electricity of B phase and C phase
Matrix L CA is flowed, LCB, LCC are b row, the matrix of (n-1) column, wherein the i-th row jth column element are as follows:
Wherein, V0A, V0B, V0CRespectively A phase at three-phase imbalance distribution system low-pressure side transformer outlet, B phase, C phase voltage are surveyed
Magnitude,
I=1,2 ..., b；J=1 ..., n-1；
2-5-2 can be calculated A phase, branch current matrix F CA, FCB and the FCC of B phase and C phase, A phase, the branch electricity of B phase and C phase
Flowing matrix F CA, FCB and FCC is b row, the matrix of 1 column, wherein the i-th row element are as follows:
Wherein, i=1,2 ..., b；J=1 ..., n-1；L=1,2 ..., i；
Then, the branch current of i-th branch A phase, B phase and C phase is IlAi=FCA (i, 1), IlBi=FCB (i, 1), IlCi=FCC
(i,1)；
Wherein, i=1,2 ..., b；J=1 ..., n-1.
6. the method for online planning stage low-voltage distribution system three-phase load optimization balanced arrangement according to claim 1,
It is characterized by: specific step is as follows for the step four:
4-1, coding: to determine that the low-voltage distribution system phase sequence of three-phase imbalance low-voltage distribution system load user's access scheme is matched
Tactful x is set as decision variable, Binary Zero -1 is carried out to decision variable and is encoded；
4-2 forms fitness function: uneven with entire three-phase for the optimization allocation of low-voltage distribution system three-phase load
Weigh low-voltage distribution system load user, the minimum fitness function of total degree of unbalancedness of all branches section under different access schemes；
4-3 obtains initial population: provide the size of initial population, and with random fashion generate it is same it is multiple it is different from each other really
Determine the configuration strategy of three-phase imbalance low-voltage distribution system three-phase load access phase sequence；
4-4 calculates initial population according to fitness function, selects a part of optimal solution and is copied directly to the next generation,
Remaining individual carries out mutation operation, crossover operation with certain probability；
4-5, when reaching the number of iterations of defined, algorithm is terminated, and stops operation, is exported and is determined three-phase imbalance low-voltage distribution
System three-phase load accesses the result of the configuration strategy of phase sequence.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112367566A (en) * | 2020-10-30 | 2021-02-12 | 广西珞桂节能环保研究院有限公司 | Communication base station high-reliability low-loss alternating current power supply method and device |
Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5969510A (en) * | 1997-09-23 | 1999-10-19 | Equi-Tech Corporation | Three-phase to six-phase wye transformer power system |
| WO2010066141A1 (en) * | 2008-12-11 | 2010-06-17 | China Software Venture Ltd. | Offer reporting apparatus and method |
| JP2011072064A (en) * | 2009-09-24 | 2011-04-07 | Fujitsu Ltd | Method and program for optimally distributing power to load |
| KR20110087170A (en) * | 2010-01-25 | 2011-08-02 | 서울과학기술대학교 산학협력단 | Method of determining distributed generation terminal voltage in three phase unbalance electrification system and apparatus for the same |
| US20150261892A1 (en) * | 2014-03-12 | 2015-09-17 | Nec Laboratories America, Inc. | Integrated optimal placement, sizing, and operation of energy storage devices in electric distribution networks |
| CN104931802A (en) * | 2015-03-26 | 2015-09-23 | 广东电网有限责任公司江门供电局 | Outgoing line load three-phase integration protection, regulation and control method |
| CN107039967A (en) * | 2016-12-12 | 2017-08-11 | 国家电网公司 | It is a kind of that line impedance and the platform area Calculating Network Theoretical Line Loss computational methods of negative rules are considered based on Fuzzy Power Flow algorithm |
| CN107666253A (en) * | 2016-07-21 | 2018-02-06 | 申茂军 | A kind of muti-criteria satisfactory optimization pulsewidth modulation strategy of three-phase voltage source type inverter |
| WO2018064929A1 (en) * | 2016-10-09 | 2018-04-12 | 国网江苏省电力公司扬州供电公司 | Three-phase load balancing control method and system |
-
2019
- 2019-05-21 CN CN201910425395.2A patent/CN110135650B/en active Active
Patent Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5969510A (en) * | 1997-09-23 | 1999-10-19 | Equi-Tech Corporation | Three-phase to six-phase wye transformer power system |
| WO2010066141A1 (en) * | 2008-12-11 | 2010-06-17 | China Software Venture Ltd. | Offer reporting apparatus and method |
| JP2011072064A (en) * | 2009-09-24 | 2011-04-07 | Fujitsu Ltd | Method and program for optimally distributing power to load |
| KR20110087170A (en) * | 2010-01-25 | 2011-08-02 | 서울과학기술대학교 산학협력단 | Method of determining distributed generation terminal voltage in three phase unbalance electrification system and apparatus for the same |
| US20150261892A1 (en) * | 2014-03-12 | 2015-09-17 | Nec Laboratories America, Inc. | Integrated optimal placement, sizing, and operation of energy storage devices in electric distribution networks |
| CN104931802A (en) * | 2015-03-26 | 2015-09-23 | 广东电网有限责任公司江门供电局 | Outgoing line load three-phase integration protection, regulation and control method |
| CN107666253A (en) * | 2016-07-21 | 2018-02-06 | 申茂军 | A kind of muti-criteria satisfactory optimization pulsewidth modulation strategy of three-phase voltage source type inverter |
| WO2018064929A1 (en) * | 2016-10-09 | 2018-04-12 | 国网江苏省电力公司扬州供电公司 | Three-phase load balancing control method and system |
| CN107039967A (en) * | 2016-12-12 | 2017-08-11 | 国家电网公司 | It is a kind of that line impedance and the platform area Calculating Network Theoretical Line Loss computational methods of negative rules are considered based on Fuzzy Power Flow algorithm |
Non-Patent Citations (4)
| Title |
|---|
| 吴翔;谭国俊;叶宗彬;李洪刚;: "三相电压源型逆变器的多目标满意优化脉宽调制策略" * |
| 李敏: "改善化工企业配电系统电能质量的若干方法" * |
| 郭琳 等: "基于非线性整数规划的配网负荷转供优化建模" * |
| 金楠 等: "清洁能源发电并网逆变器有限状态模型预测控制" * |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112367566A (en) * | 2020-10-30 | 2021-02-12 | 广西珞桂节能环保研究院有限公司 | Communication base station high-reliability low-loss alternating current power supply method and device |
| CN112367566B (en) * | 2020-10-30 | 2023-03-14 | 广西珞桂节能环保研究院有限公司 | Communication base station high-reliability low-loss alternating current power supply method and device |
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