CN106356849B - A kind of power distribution network reconfiguration Multipurpose Optimal Method of the configuration containing block switch - Google Patents
A kind of power distribution network reconfiguration Multipurpose Optimal Method of the configuration containing block switch Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N3/00—Computing arrangements based on biological models
- G06N3/004—Artificial life, i.e. computing arrangements simulating life
- G06N3/006—Artificial life, i.e. computing arrangements simulating life based on simulated virtual individual or collective life forms, e.g. social simulations or particle swarm optimisation [PSO]
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
Abstract
The invention discloses a kind of power distribution network reconfiguration Multipurpose Optimal Methods of configuration containing block switch, comprising the following steps: building system reliability, electric energy loss and block switch install the multi-objective Reconfiguration of Distribution Network model with operating cost global optimum;Reconstruction model is solved using ant group algorithm;Obtain the optimal solution of multi-objective Reconfiguration of Distribution Network model;Quantity and the position for optimizing power distribution network switch according to optimal solution, realize the power distribution network reconfiguration of multiple target total optimization.The invention has the advantages that: methods proposed by the present invention can greatly improve system reliability, and can be significantly reduced system whole cost by distributing block switch rationally.
Description
Technical field
The invention belongs to Automatization in Power Distribution Network technical field more particularly to it is a kind of containing block switch configuration match
Reconfiguration of electric networks Multipurpose Optimal Method.
Background technique
Rapidly growth with society to electricity needs, for Utilities Electric Co., transmission reliability and power transmission efficiency become
It obtains more and more important.Power outage is generally primarily focused in distribution rank.Customer electricity satisfaction, electric power are improved in order to whole
Company needs to improve power supply reliability, this also becomes Utilities Electric Co. in one of the focus of planning and operation stage.It is another
Aspect, electric energy loss also occur mostly in distribution, and therefore, planning and the operation of power distribution network must pay close attention to subtracting for loss simultaneously
It is few, to improve systematic economy benefit.To effectively reduce the recovery time after the system failure, the installation of block switch is just in power distribution network
In popularize.The selection of quantity, position and block switch type that block switch is installed has distribution network reliability and economy
Influence outstanding.Power distribution network reconfiguration changes network topology structure by changing the open and-shut mode of interconnection switch and block switch,
It is the important measures for reducing system recovery time, improving power supply reliability.Therefore two sides can be taken into account for above-mentioned factor foundation
The reconstruction method of power distribution network of face demand is significantly.
In terms of evaluating reliability of distribution network, it has been proposed that Fault traversal algorithm, Failure Mode Effective Analysis method, section
The methods of algorithm, but how in evaluating reliability of distribution network combine distribution switch planning the characteristics of there has been no researchs.Intelligence is calculated
Method has more application in terms of power distribution network reconfiguration, can realize the optimization of power distribution network under the premise of meeting certain optimization aim
Reconstruct.Wherein, have research using simulated annealing solve staging device location problem, objective function by system reliability, set
Standby investment and maintenance cost three parts composition;Triple population optimal algorithms (TPSO), improvement ant group algorithm (ACS), mixing are whole
Number linear programming technique also be used to solve block switch location problem in power distribution network;Based on " modern heuristic " random search optimizing
The artificial fish-swarm algorithm (AFSA) of technology has application in the switch location problem for considering client's power failure cost.
Electric energy loss is reduced, and influences a key factor of power distribution network reconfiguration.In view of system reliability and loss
Between influence each other, have research using binary particle swarm algorithm (BPSO) solve containing Reliability Index and transmission of electricity damage
Consume the power distribution network reconfiguration problem of compound target function.In terms of algorithm, micro-oxidation test (μ GA) is solving medium voltage distribution network reconstruct
There is application in multi-objective optimization question;Ant group algorithm (ACO) have positive feedback, distributed computing, initial value is relied on it is small and can
, also there is application in the features such as with global search optimal solution in the optimal reconstruction of power distribution network, and has research according to power distribution network open loop
The characteristics of operation, improves ant group algorithm, ensure that the tree of power distribution network after search each time, improves operation
Speed.
But in the research of above-mentioned power distribution network reconfiguration, there are following deficiencies:
First is that the considerations of objective function, is comprehensive not enough, to the block switch of system reliability, Transmission Loss and valuableness
Overall tradeoff with operating cost is installed not yet to inquire into;
Second is that in power distribution network reconfiguration, only using the open and close state for having switch as decision content, not yet consideration block switch
Influence of the position to system reliability.
Summary of the invention
The purpose of the present invention is to solve the above-mentioned problems, proposes a kind of power distribution network reconfiguration of configuration containing block switch
Multipurpose Optimal Method, it is overall most with operating cost that this method constructs system reliability, electric energy loss and block switch installation
Excellent multi-objective Reconfiguration of Distribution Network model, and using the quantity of ant group algorithm optimization power distribution network switch and position, realize more mesh
Mark the power distribution network reconfiguration of total optimization.
To achieve the above object, concrete scheme of the invention is as follows:
A kind of power distribution network reconfiguration Multipurpose Optimal Method of the configuration containing block switch, comprising the following steps:
(1) input system topological relation, load data and dependability parameter;
(2) multiple target of system reliability, electric energy loss and block switch installation and operating cost global optimum is constructed
Power distribution network reconfiguration model;
(3) the initialization with Ant colony algorithm parameter in search space initializes the number of iterations N=1;
(4) horizontal according to the pheromones on path, allow ant colony selection path to reach " at food ";Obtain the position of system switching
List is set, and then changes system topological relationship;
(5) all paths passed by according to ant colony, obtain the optimal solution of objective function in current iteration, and according to part and
Global criterion updates pheromones numerical value;It stores the optimal solution of objective function in current iteration and empties position of the switch list;
(6) according to the installation of systems reliability analysis, electric energy loss amount and block switch and operating cost, to current iteration
The optimal solution of obtained objective function is compared with the optimal solution that preceding an iteration obtains, and updates optimal solution;
(7) loop iteration, until to reach preset maximum number of iterations or target further unexcellent for the number of iterations
Change;Obtain the optimal solution of multi-objective Reconfiguration of Distribution Network model;
(8) quantity and the position for optimizing power distribution network switch according to optimal solution, realize the power distribution network of multiple target total optimization
Reconstruct.
Further, in the step (2), the multi-objective Reconfiguration of Distribution Network model of building specifically:
MinJ=ω1·(ECOST+SC)+ω2·EL;
Constraint condition are as follows:
ΔVn≤ΔVmax;
Ib≤Imax;
Wherein, ω1For the weight of Reliability Index, ω2For the weight of transmission losses, ECOST refers to for system reliability
Scalar functions, SC are switch cost function, and EL is system transmission losses function;ΔVnFor the voltage drop-out value of node, Δ VmaxFor section
The maximum voltage drop-out value that point allows, IbThe absolute value of electric current, I are flowed through in routemaxFor maximum transmitted electric current, P in routeiIt is negative
The active power of user, N under lotus pointiUser's intersection under powering for feeder line, Δ PmaxFor transformer capacity,To guarantee power distribution network
It is the state of open loop operation.
Further, the Reliability Index function specifically:
Wherein, T is time cycle, NbFor route sum, λbFor route failure rate, LbFor line length, CTbTo work as
When breaking down on route, the type sum of impacted load, NRbIt is negative for what is when breaking down on route, persistently had a power failure
Lotus point sum, P (k, j) are the average load of different user types under different load point, Ck(d, b) is to occur to continue d on route b
When power failure in a hour, the function that different load type suffers a loss by power failure, NSbWhen for line failure, temporarily stop
The load point number of electricity, IR are load annual average rate of increase, and DR is load annual rate of descent.
Further, the switch cost function specifically:
Wherein, CIS is the expense for installing a new block switch, NsNumber for the block switch newly installed, MC are every
A block switch maintenance and every annual operating cost, DR are load annual rate of descent.
Further, the system transmission losses function specifically:
Wherein, IbtFor the absolute value for flowing through line current, RbFor the resistance of route, EpFor electric energy average price, DR is negative
Lotus annual rate of descent.
Further, local criterion in the step (5) specifically: the information being distributed within the scope of entire search space
Element, with the increase of the number of iterations, numerical value will be gradually reduced, to guarantee that the attraction of ant colony is gradually weakened in path;
The calculation formula of the part criterion is as follows:
Wherein, ρ is pheromones evaporation rate;For the pheromones numerical value of i, j on path in the N-1 times iteration,
τcThe constant being positive.
Further, global criterion refers to the Pheromone update carried out to optimal path in the step (5), specifically:
On the path that bulk information element is distributed to optimal solution in iteration each time;
The calculation formula of the overall situation criterion is as follows:
Wherein,For the pheromones numerical value of i, j on path in the N-1 times iteration, ρ is pheromones evaporation rate,
JbestIt (N) is the optimal solution solved after current iteration, JbestIt is by the optimal result in preceding n times iteration.
Further, in the step (6), method that system reliability is analyzed specifically:
1) binary vector of block switch installation site and interconnection switch opening and closing state is defined;List the event that all has a power failure
Barrier;
2) for power-off fault each time, power failure position is determined by the breaker of searching of line upstream and downstream;
3) power supply interrupted district is isolated by the movement of breaker and block switch to line upstream downstream;
4) classified according to user's requirement different to power supply reliability, by user type be divided into resident, commercialization and
The straight power purchase user of small amount;
5) it is influenced to analyze the reliability of system entirety according to caused by power failure.
Further, in the step 1),
For it can install the position of block switch, 0 indicates not install block switch in this position, and 1 indicates the position
It sets and is mounted with block switch;
It is 1, the 0 opening and closing shape for respectively indicating interconnection switch with binary vector for installed interconnection switch
State.
Beneficial effects of the present invention:
The present invention passes through building system reliability, electric energy loss and block switch installation and operating cost global optimum
Multi-objective Reconfiguration of Distribution Network model, and using the quantity of ant group algorithm optimization power distribution network switch and position, it is whole to realize multiple target
The optimal power distribution network reconfiguration of body.
When carrying out systems reliability analysis, influence of the position of the switch to system reliability of segmentation is fully considered, so that
It is more accurate and reliable to analyze result.
Practice result proves that method proposed by the present invention can greatly improve system by distributing block switch rationally
Reliability, and system whole cost can be significantly reduced.
Detailed description of the invention
Fig. 1 is assessment system reliability (FMEA) flow chart in the present invention;
Fig. 2 is ant group algorithm of the present invention (ACO) flow chart;
Fig. 3 is that the present invention tests distribution network system structure chart used;
Fig. 4 is distribution network system structure chart after system reconfiguration.
Specific embodiment:
The present invention is described in detail with reference to the accompanying drawing:
The invention discloses a kind of power distribution network reconfiguration Multipurpose Optimal Methods of configuration containing block switch, as shown in Fig. 2, packet
Include following steps:
(1) input system topological relation, load data and dependability parameter;
(2) multiple target of system reliability, electric energy loss and block switch installation and operating cost global optimum is constructed
Power distribution network reconfiguration model;
The construction method of target power distribution network reconfiguration model is as follows:
Firstly, each section of objective function:
1) reliability index:
In formula: T is time cycle (year), NbFor route sum, λbFor route failure rate (failure rate/kilometer-year),
LbFor line length, CTbFor when breaking down on route, the type of impacted load is total, NRbFor when occurring on route
When failure, the load point sum persistently having a power failure, P (k, j) is the average load of different user types under different load point, Ck(d,
When b) to occur to continue the power failure of d hour on route b, the function that different load type suffers a loss by power failure, NSbFor line
When road is broken down, the load point number of brief power outage, IR is load annual average rate of increase, and DR is load annual rate of descent.
In above-mentioned reliability index, NRb NSbIt is related with the number and location of block switch in system;(1+IR)t-1With
(1+DR)-1(t-1)The variation of load level is reacted.
2) system transmission losses function:
In formula: IbtFor the absolute value for flowing through line current, RbFor the resistance of route, EpFor electric energy average price.
3) expense is switched, purchases and installs expense and subsequent maintenance operation expense comprising switch:
In formula: CIS is the expense (unit $) for installing a new block switch, NsNumber for the block switch newly installed,
MC is the maintenance of each block switch and every annual operating cost (unit).
Then, the mathematical model of this method are as follows:
MinJ=ω1·(ECOST+SC)+ω2·EL (1)
Constraint condition: Δ Vn≤ΔVmax (2)
Ib≤Imax (3)
In formula, ω1It is a constant greater than 0 for the weight of Reliability Index;ω2For the weight of transmission losses,
It is a constant greater than 0, Δ VnFor the voltage drop-out value of node, Δ VmaxFor the maximum voltage drop-out value that node allows, IbFor
The absolute value of electric current, I are flowed through in routemaxFor maximum transmitted electric current, P in routeiFor the active power of user under load point, NiFor
User's intersection under feeder line is powered, Δ PmaxFor transformer capacity,To guarantee that power distribution network is the state of open loop operation.
Above-mentioned optimization problem is the Solve problems of a nonlinear combining functions, is solved using ant group algorithm (ACO).
(3) multi-objective Reconfiguration of Distribution Network model is solved using ant group algorithm (ACO).
Firstly, in each iteration, system reliability is analyzed using failure modes and effects analysis (FMEA) algorithm, i.e.,
It determines power-off fault possible each time and analyzes its influence to user.In particular, defining block switch peace in analysis
The binary vector of holding position and interconnection switch opening and closing state, for it can install the position of block switch, 0 indicates to be somebody's turn to do
Block switch is not installed, 1 indicates to be mounted with block switch in this position on position;For installed interconnection switch,
It is 1, the 0 opening and closing state for respectively indicating interconnection switch with binary vector.
The block diagram of FEMA algorithm is as shown in Figure 1, the specific steps are as follows:
1) whole power-off faults are listed;
2) for power-off fault each time, power failure position is determined by the breaker of searching of line upstream and downstream;
3) power supply interrupted district is isolated by the movement of breaker and block switch to line upstream downstream;
4) classified according to user's requirement different to power supply reliability, user type can be divided into resident, commercialization
And the straight power purchase user of small amount;
5) pass through the power supply reliability of impact analysis different type user and the reliability of system entirety caused by power failure.
The block diagram of the ant group algorithm (ACO) of model solution is as shown in Fig. 2, steps are as follows:
1) initialize: the initial position of ant colony is all that setting pheromones numerical value in " in family ", path is a series of positive
Constant;
2) ant colony is dispatched: all ants are from " " in family, according to status transition criterion, select next stage is
It is no that " at food " is reached by a certain path, wherein status transition criterion is the function of pheromones on path.For example, in the x stage
The probability of ant selection next stage y state j is as follows in the case where state i:
In formula,Horizontal, the Δ for pheromones on path in iv-th iterationx,iFor the selectable total number of paths of ant colony.
3) assess objective function: after all ants all reach " at food ", the position of switch has determined out, and
Objective function (1) can also be calculated.In current iteration, if being unsatisfactory for the constraint condition of (2)-(5) it is necessary to give up this
Reconfiguration scheme;If constraint condition is all satisfied, the value of the objective function after just recording current iteration: Jbest(N).And it will
Optimal result J in all iterative calculation of calculated result and front after the secondary iterationbestIt compares, if iv-th iteration
Calculated result is better than Jbest, then optimal result is updated, J is enabledbest=Jbest(N);If Jbest(N)>Jbest, then still keep original
Optimal reconfiguration scheme;
4) update pheromones numerical value: the purpose of this step is to find optimal solution by higher pheromones level.Update letter
Breath prime number value will follow two criterion:
1. local criterion: the pheromones being distributed within the scope of entire search space, with the increase of the number of iterations, numerical value
It is gradually reduced, to guarantee that the attraction of ant colony is gradually weakened in path.The calculation formula of local criterion is as follows:
In formula, it is a number between 1 and 0 that ρ, which is pheromones evaporation rate,;For the N-1 times iteration
Pheromones numerical value on middle path;τcThe constant being positive.
2. global criterion: global information element replacement criteria be bulk information element has been distributed in iteration each time it is optimal
On the path of solution.Formula is as follows:
Behind application part and global information element replacement criteria, maximum-the smallest ant group algorithm is just integrated into following
In equation:
In formula, τmaxFor the pheromones greatest measure allowed on path;
τminFor the pheromones minimum value allowed on path.
To the boundary of pheromones numerical value setting minimum value, it is ensured that the pheromones numerical value on each paths is all greater than
0, so only optimal solution can be locally being found to avoid algorithm.
5) move in circles calculating, until reaching preset maximum number of iterations.
Obtain the optimal solution of multi-objective Reconfiguration of Distribution Network model;Optimize quantity and the position of power distribution network switch according to optimal solution
It sets, realizes the power distribution network reconfiguration of multiple target total optimization.
For distribution network system, effect of the present invention is verified used in the test shown in Fig. 3 below.Table 1 is to correspond to
User data.
The corresponding user data of 1 distribution network system of table
Distribution network system is reconstructed using the method for the present invention, the distribution network system structure after reconstruct is as shown in Figure 4.
The Comparative result obtained before and after system reconfiguration is as shown in table 2.
The Comparative result of 2 distribution network system of table reconstruct front and back
Table 2 shows that the scheme of system optimization reconstruct needs to increase block switch 18, and system reliability can be improved in this, makes
Index ECOST drops to $ 226610 by $ 3363900, and system loss drops to $ 867400 by $ 1000800, and system is integrally spent
$ 1193100 is dropped to by $ 4364700, has dropped 72.66%.It can be seen that method proposed by the present invention can pass through optimization
Block switch is configured, greatly improves system reliability, and system whole cost can be significantly reduced.
Above-mentioned, although the foregoing specific embodiments of the present invention is described with reference to the accompanying drawings, not protects model to the present invention
The limitation enclosed, those skilled in the art should understand that, based on the technical solutions of the present invention, those skilled in the art are not
Need to make the creative labor the various modifications or changes that can be made still within protection scope of the present invention.
Claims (7)
1. a kind of power distribution network reconfiguration Multipurpose Optimal Method of the configuration containing block switch, characterized in that the following steps are included:
(1) input system topological relation, load data and dependability parameter;
(2) the multiple target distribution of system reliability, electric energy loss and block switch installation and operating cost global optimum is constructed
Net reconstruction model;
(3) the initialization with Ant colony algorithm parameter in search space initializes the number of iterations N=1;
(4) horizontal according to the pheromones on path, allow ant colony selection path to reach " at food ";Obtain the location column of system switching
Table, and then change system topological relationship;
(5) all paths passed by according to ant colony obtain the optimal solution of objective function in current iteration, and according to part and the overall situation
Criterion updates pheromones numerical value;It stores the optimal solution of objective function in current iteration and empties position of the switch list;
Wherein, local criterion specifically: the pheromones being distributed within the scope of entire search space, with the increase of the number of iterations,
Its numerical value will be gradually reduced, to guarantee that the attraction of ant colony is gradually weakened in path;
The calculation formula of the part criterion is as follows:
Wherein, ρ is pheromones evaporation rate;For the pheromones numerical value on path in the N-1 times iteration, τcIt is positive
Constant;
Global criterion specifically: on the path that bulk information element is distributed to optimal solution in iteration each time;
The calculation formula of the overall situation criterion is as follows:
Wherein,For the pheromones numerical value of i, j on path in the N-1 times iteration, ρ is pheromones evaporation rate, Jbest
It (N) is the optimal solution solved after current iteration, JbestIt is by the optimal result in preceding n times iteration;
(6) according to the installation of systems reliability analysis, electric energy loss amount and block switch and operating cost, current iteration is obtained
The optimal solution of objective function be compared with the optimal solution that preceding an iteration obtains, update optimal solution;
(7) loop iteration is no longer advanced optimized until the number of iterations reaches preset maximum number of iterations or target;?
To the optimal solution of multi-objective Reconfiguration of Distribution Network model;
(8) quantity and the position for optimizing power distribution network switch according to optimal solution, realize the power distribution network reconfiguration of multiple target total optimization.
2. a kind of power distribution network reconfiguration Multipurpose Optimal Method of configuration containing block switch as described in claim 1, characterized in that
In the step (2), the multi-objective Reconfiguration of Distribution Network model of building specifically:
MinJ=ω1·(ECOST+SC)+ω2·EL;
Constraint condition are as follows:
ΔVn≤ΔVmax;
Ib≤Imax;
Wherein, ω1For the weight of Reliability Index, ω2For the weight of transmission losses, ECOST is Reliability Index letter
Number, SC are switch cost function, and EL is system transmission losses function;ΔVnFor the voltage drop-out value of node, Δ VmaxPermit for node
Perhaps maximum voltage drop-out value, IbThe absolute value of electric current, I are flowed through in routemaxFor maximum transmitted electric current, P in routeiFor load point
The active power of lower user, NiUser's intersection under powering for feeder line, Δ PmaxFor transformer capacity,To guarantee that power distribution network is out
The state of inscription of loop.
3. a kind of power distribution network reconfiguration Multipurpose Optimal Method of configuration containing block switch as claimed in claim 2, characterized in that
The Reliability Index function specifically:
Wherein, T is time cycle, NbFor route sum, λbFor route failure rate, LbFor line length, CTbFor when on route
When breaking down, the type sum of impacted load, NRbIt is total for the load point that when breaking down on route, persistently has a power failure
Number, P (k, j) are the average load of different user types under different load point, Ck(d, b) is to occur to continue d hour on route b
Power failure when, the function that different load type suffers a loss by power failure, NSbWhen for line failure, brief power outage it is negative
Lotus point number, IR are load annual average rate of increase, and DR is load annual rate of descent.
4. a kind of power distribution network reconfiguration Multipurpose Optimal Method of configuration containing block switch as claimed in claim 2, characterized in that
The switch cost function specifically:
Wherein, CIS is the expense for installing a new block switch, NsNumber for the block switch newly installed, MC are each segmentation
Switch maintenance and every annual operating cost, DR are load annual rate of descent.
5. a kind of power distribution network reconfiguration Multipurpose Optimal Method of configuration containing block switch as claimed in claim 2, characterized in that
The system transmission losses function specifically:
Wherein, IbtFor the absolute value for flowing through line current, RbFor the resistance of route, EpFor electric energy average price, DR puts down for load year
Equal rate of descent.
6. a kind of power distribution network reconfiguration Multipurpose Optimal Method of configuration containing block switch as described in claim 1, characterized in that
In the step (6), method that system reliability is analyzed specifically:
1) binary vector of block switch installation site and interconnection switch opening and closing state is defined;List whole power-off faults;
2) for power-off fault each time, power failure position is determined by the breaker of searching of line upstream and downstream;
3) power supply interrupted district is isolated by the movement of breaker and block switch to line upstream downstream;
4) classified according to user's requirement different to power supply reliability, user type is divided into resident, commercialization and small amount
Straight power purchase user;
5) it is influenced to analyze the reliability of system entirety according to caused by power failure.
7. a kind of power distribution network reconfiguration Multipurpose Optimal Method of configuration containing block switch as claimed in claim 6, characterized in that
In the step 1),
For it can install the position of block switch, 0 indicates not install block switch in this position, and 1 indicates in this position
It is mounted with block switch;
It is 1, the 0 opening and closing state for respectively indicating interconnection switch with binary vector for installed interconnection switch.
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