Summary of the invention
The object of the present invention is to provide a kind of electric system economy tune of precision that can be improved Economic Dispatch
Spend method and system.
To achieve the above object, the present invention provides following schemes:
A kind of Economic Dispatch method, the dispatching method include:
Establish economic load dispatching model;
Clusterings are carried out to more units according to the characteristic of every unit and partition strategy, are one by electric system cluster
A corase particles, the more units are divided into multiple fine particles;
According to the output power of the multiple fine particles of the economic load dispatching Modifying model, amendment fine particle output work is obtained
Rate;
The power output of each fine particle is calculated according to economic load dispatching model as a result, by the power output result by repeatedly changing
Generation optimization, obtains minimum cost of electricity-generating.
Optionally, the economic load dispatching model of establishing specifically includes:
The economic load dispatching model meets objective function and constraint condition;
The objective function is the minimum total power production cost of the generator of the electric system;
Total power production cost
Wherein, ai,bi,ci,ei,fiIt is the cost coefficient of i-th unit;PiFor the power output result of i-th unit;N is
Total number of units of the unit of the electric system;Pi minFor the power output lower limit of i-th unit;
The constraint condition includes: the bound and taboo of the power-balance constraint of the electric system, conventional power unit power output
Only Operations of Interva Constraint;
The power-balance constraint of the electric system
Wherein, PDFor the total load of the electric system;
The total losses of the electric system
Wherein, Bij,B0i,B00It is loss factor, PjFor the power output result of jth platform unit;
The unit output bound meets condition are as follows:
Pi min≤Pi≤Pi max (4)
Wherein, Pi minFor the minimum value of the unit output, Pi maxFor the maximum value of the unit output;
It is described to forbid Operations of Interva Constraint
Wherein, niForbid section quantity for i-th unit.
Optionally, described that clusterings are carried out to more units according to the characteristic and partition strategy of every unit, by electric power
Hierarchical Clustering is a corase particles, and the more units are divided into multiple fine particles and specifically include:
Calculate the calculated result of the power output of every unit;
Compare the calculated result, by the discrepant corresponding machine group cluster of the calculated result to the same particulate
In;Remaining unit carries out ascending sort according to the upper limit of the calculated result according to power output, is sequentially allocated remaining described particulate
In.
Optionally, the output power according to the multiple fine particles of the economic load dispatching Modifying model, is corrected
Fine particle output power specifically includes:
Objective function is the electric system cost of electricity-generating
Wherein, FgFor the cost of electricity-generating of fine particle g, M is the number of fine particle;
Constraint condition
The fine particle power output bound is equivalent:
It contributes for the minimum equivalent of the fine particle g,It contributes for the maximum equivalent of the fine particle g;MgFor
The unit number of units for including in the fine particle g;
The output power Constraints of Equilibrium of the fine particle:
The sum of fine particle power output with keep power flat required for the electric system between load and line loss
Weighing apparatus;
The power output bound of the fine particle:
Constraint processing
It is constrained using penalty function method:
Wherein, σ is penalty factor;
According to the penalty factor σ to the power output result of the amendment fine particle.
Optionally, described to be specifically included according to power output result of the penalty factor σ to the amendment fine particle:
Judge each fine particle power output PgWhether the constraint condition of the power output bound of the fine particle is met;
The power output of each fine particle is modified according to formula (12);
Wherein, k indicates the number of iterations, ifOrVariable T is setg=0, otherwise,
Calculate the power output result of the corresponding fine particle and the difference DELTA of load under current iteration number;
Judge the difference | Δ | whether it is greater than zero, if it is greater than zero, correcting under current iteration number using formula (13)
The power output of the corresponding fine particleTo meet equilibrium constraint (9);
Otherwise, the corresponding fine particle under current iteration number is checked
Power outputWhether out-of-limit, if out-of-limit, return judges each fine particle power output PgWhether the power output of the fine particle is met
The constraint condition of bound, otherwise, the power output of the corresponding fine particle under current iteration numberIt is revised described thin
The power output of particle.
Optionally, described that the power output of each fine particle is calculated as a result, tying the power output according to economic load dispatching model
Fruit optimizes by successive ignition, obtains minimum cost of electricity-generating and specifically includes:
The cost of electricity-generating of the fine particle g is to send out the sum of low cost comprising all units in the fine particle g,
Objective function is the cost of electricity-generating of the fine particle g
Wherein, MgFor the unit number of units contained in the fine particle g;
Constraint condition:
Power of the assembling unit Constraints of Equilibrium:
Formula (5) for the fine particle g gross capability that is calculated by corase particles should with include in the fine particle g it is organic
The sum of power output of group keeps balance;
The constraint of unit output bound:
Pi min≤Pi≤Pi max(16);
Forbid Operations of Interva Constraint:
The objective function of penalty term is added are as follows:
A kind of Economic Dispatch system, the scheduling system include:
Model building module, for establishing economic load dispatching model;
Clustering module, for carrying out clusterings to more units according to the characteristic and partition strategy of every unit,
It is a corase particles by electric system cluster, the more units are divided into multiple fine particles;
Fine particle correction module, for the output power according to the multiple fine particles of the economic load dispatching Modifying model,
Obtain amendment fine particle output power;
Fine particle optimization module, for calculating the power output of each fine particle according to economic load dispatching model as a result, by institute
It states power output result to optimize by successive ignition, obtains minimum cost of electricity-generating.
Optionally, the model building module specifically includes:
Objective function establishes unit, for establishing the minimum total hair for the generator that the objective function is the electric system
Electric cost;
Power-balance constraint unit, for establishing the power-balance constraint of the electric system
The bound constraint element of conventional power unit power output, meets condition for establishing the unit output bound are as follows:
Pi min≤Pi≤Pi max (4)
Wherein, Pi minFor the minimum value of the unit output, Pi maxFor the maximum value of the unit output;
Forbid section constraint element, for establishing the power output bound of the fine particle:
The specific embodiment provided according to the present invention, the invention discloses following technical effects: the present invention provides one kind
It can be improved the Economic Dispatch method and system of the precision of Economic Dispatch.By Economic Dispatch Problem entirety
The computational problem for being decomposed into fine particle is solved, calculating dimension is reduced, and according to the characteristic of unit itself, proposes the electricity
Machine group cluster in Force system is the particle partition strategy of fine particle, reduces and calculates dimension, particle partition strategy is improved and examined
Consider the precision of the economic load dispatching result of valve point effect.It can be obtained using Economic Dispatch method of the invention minimum
Cost of electricity-generating and the precision for improving unit output scheduling result.
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, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
The object of the present invention is to provide a kind of electric system economy tune of precision that can be improved Economic Dispatch
Spend method and system.
In order to make the foregoing objectives, features and advantages of the present invention clearer and more comprehensible, with reference to the accompanying drawing and specific real
Applying mode, the present invention is described in further detail.
As shown in Figure 1, a kind of Economic Dispatch method, the dispatching method include:
Step 100: establishing economic load dispatching model;
Step 200: clusterings being carried out to more units according to the characteristic of every unit and partition strategy, by electric system
Cluster is a corase particles, and the more units are divided into multiple fine particles;
Step 300: according to the output power of the multiple fine particles of the economic load dispatching Modifying model, obtaining amendment particulate
Sub- output power;
Step 400: the power output of each fine particle being calculated according to economic load dispatching model as a result, the power output result is passed through
Multiple iteration optimization is crossed, minimum cost of electricity-generating is obtained.
Step 100: the economic load dispatching model of establishing specifically includes:
The economic load dispatching model meets objective function and constraint condition;
The objective function is the minimum total power production cost of the generator of the electric system;
Total power production cost
Wherein, ai,bi,ci,ei,fiIt is the cost coefficient of i-th unit;PiFor the power output result of i-th unit;N is
Total number of units of the unit of the electric system;Pi minFor the power output lower limit of i-th unit;
The constraint condition includes: the bound and taboo of the power-balance constraint of the electric system, conventional power unit power output
Only Operations of Interva Constraint;
The power-balance constraint of the electric system
Wherein, PDFor the total load of the electric system;
The total losses of the electric system
Wherein, Bij,B0i,B00It is loss factor, PjFor the power output result of jth platform unit;
The unit output bound meets condition are as follows:
Pi min≤Pi≤Pi max (4)
Wherein, Pi minFor the minimum value of the unit output, Pi maxFor the maximum value of the unit output;
It is described to forbid Operations of Interva Constraint
Wherein, niForbid section quantity for i-th unit.
Step 200: it is described that clusterings are carried out to more units according to the characteristic and partition strategy of every unit, by electric power
Hierarchical Clustering is a corase particles, and the more units are divided into multiple fine particles and specifically include:
Calculate the calculated result of the power output of every unit;
Compare the calculated result, by the discrepant corresponding machine group cluster of the calculated result to the same particulate
In;Remaining unit carries out ascending sort according to the upper limit of the calculated result according to power output, is sequentially allocated remaining described particulate
In.
Step 300: the output power according to the multiple fine particles of the economic load dispatching Modifying model is corrected
Fine particle output power specifically includes:
Objective function is the electric system cost of electricity-generating
Wherein, FgFor the cost of electricity-generating of fine particle g, M is the number of fine particle;
Constraint condition
The fine particle power output bound is equivalent:
It contributes for the minimum equivalent of the fine particle g,It contributes for the maximum equivalent of the fine particle g;MgFor
The unit number of units for including in the fine particle g;
The output power Constraints of Equilibrium of the fine particle:
The sum of fine particle power output with keep power flat required for the electric system between load and line loss
Weighing apparatus;
The power output bound of the fine particle:
Constraint processing
It is constrained using penalty function method:
Wherein, σ is penalty factor;
According to the penalty factor σ to the power output result of the amendment fine particle.
It is described to be specifically included according to power output result of the penalty factor σ to the amendment fine particle:
Judge each fine particle power output PgWhether the constraint condition of the power output bound of the fine particle is met;
The power output of each fine particle is modified according to formula (12);
Wherein, k indicates the number of iterations, ifOrVariable T is setg=0, otherwise,
Calculate the power output result of the corresponding fine particle and the difference DELTA of load under current iteration number;
Judge the difference | Δ | whether it is greater than zero, if it is greater than zero, correcting under current iteration number using formula (13)
The power output of the corresponding fine particleTo meet equilibrium constraint (9);
Otherwise, the corresponding fine particle under current iteration number is checked
Power outputWhether out-of-limit, if out-of-limit, return judges each fine particle power output PgWhether the power output of the fine particle is met
The constraint condition of bound, otherwise, the power output of the corresponding fine particle under current iteration numberIt is revised described thin
The power output of particle.
Step 400: described that the power output of each fine particle is calculated as a result, tying the power output according to economic load dispatching model
Fruit optimizes by successive ignition, obtains minimum cost of electricity-generating and specifically includes:
The cost of electricity-generating of the fine particle g is to send out the sum of low cost comprising all units in the fine particle g,
Objective function is the cost of electricity-generating of the fine particle g
Wherein, MgFor the unit number of units contained in the fine particle g;
Constraint condition:
Power of the assembling unit Constraints of Equilibrium:
Formula (5) for the fine particle g gross capability that is calculated by corase particles should with include in the fine particle g it is organic
The sum of power output of group keeps balance;
The constraint of unit output bound:
Pi min≤Pi≤Pi max(16);
Forbid Operations of Interva Constraint:
The objective function of penalty term is added are as follows:
A kind of Economic Dispatch system, the scheduling system include:
Model building module 1, for establishing economic load dispatching model;
Clustering module 2, for carrying out clusterings to more units according to the characteristic and partition strategy of every unit,
It is a corase particles by electric system cluster, the more units are divided into multiple fine particles;
Fine particle correction module 3, for the output power according to the multiple fine particles of the economic load dispatching Modifying model,
Obtain amendment fine particle output power;
Fine particle optimization module 4, for calculating the power output of each fine particle according to economic load dispatching model as a result, by institute
It states power output result to optimize by successive ignition, obtains minimum cost of electricity-generating.
As shown in Figure 1, the model building module 1 specifically includes:
Objective function establishes unit 1-1, for establish the objective function be the electric system generator it is minimum
Total power production cost;
Power-balance constraint unit 1-2, for establishing the power-balance constraint of the electric system
The bound constraint element 1-3 of conventional power unit power output, meets condition for establishing the unit output bound are as follows:
Pi min≤Pi≤Pi max (4)
Wherein, Pi minFor the minimum value of the unit output, Pi maxFor the maximum value of the unit output;
Forbid section constraint element 1-4, for establishing the power output bound of the fine particle:
It is as shown in Figure 4:
Input the basic parameter of all units, comprising: ai, bi, ci, ei, fi, Pi min, Pi max, PDAnd Bij, B0i, B0。
Particle divides.
For the precision for promoting calculated result, particle division is the important step in the present invention.To formulate particle partition strategy,
The self-characteristic of every unit should first be understood.Therefore, it is necessary to be carried out using intelligent algorithm quasi- using all units as optimized variable
It is standby to calculate.By iteration several times, each calculated result can be all recorded.The multiple calculated result of every unit is compared, it will
Each all different unit of result is divided to first fine particle.After first fine particle determines, dividing according to unit output
Upper limit ascending order says that other units are divided to other fine particles, to guarantee the diversity of unit maximum output in each fine particle.It is logical
Often, each fine particle includes 5-10 platform unit, the available ideal result of this method.
The detailed process that unit divides is with 10 machine set systems, as shown in Figure 3.
By previously preparing to calculate, the characteristic of every unit is calculated, by aforementioned particles partition strategy, according to every machine
Group self-characteristic, 10 units pass through cluster, available two fine particle V1And V2.Wherein fine particle V1In include 5 units
(1#, 4#, 6#, 7#, 10#).Fine particle V2In include 5 units (2#, 3#, 5#, 8#, 9#).Two fine particles form one slightly
Particle.It is calculated by corase particles, can obtain the power output of two fine particles, i.e., the load that each fine particle calculates respectively.When examining
When considering network loss, the optimal result of this iteration, the calculated value as network loss in the calculating of corase particles next time.
Corase particles calculate.In corase particles calculating, optimal variable of the calculated result of fine particle as intelligent optimization algorithm,
Optimal value is obtained by each iteration.Corase particles calculated result distributes to fine particle.
Fine particle calculates.Fine particle calculates the output power of all units using intelligent optimization algorithm, all thin in completion
After particle calculates, into the calculating iteration of corase particles next time.It is calculated in iteration in first time corase particles, without every unit
Output power sets a line loss initial value bigger than actual value before needing to calculate.
It repeats corase particles and calculates step, until reaching maximum number of iterations, the solution of last available optimization.
In the present invention, intelligent optimization algorithm is applied to the economic load dispatching Granule Computing for considering valve point effect using differential evolution
In method, in this method, corase particles calculation optimization, fine particle calculation optimization, particle division are applied to differential evolution algorithm.
Differential evolution algorithm starts from choosing the random value in power output bound constraint, according to formula (19):
Wherein U (0,1) is a uniform random number in section (0,1),WithIt is i-th of element respectively
Upper and lower bound.
According to formula (20), the available mutation vector of three individuals
Wherein j1, j2And j3It is randomly selected three Different Individuals from current population, F is mutation factor.
Gene byWithIt inherits, is determined by probability of crossover (CR ∈ [0,1]), formula (21):
Wherein, randiFor a uniform random number in section (0,1), inIt is that section [1, n] is uniformly distributed at random
Number.
The selection operation of DE is that the greediness based on fitness selects, formula (22):
Above-mentioned steps are constantly repeated until meeting stop condition.
To improve computational accuracy, mutation factor F is set as linear decrease, is calculated according to formula (23):
Wherein FmaxAnd FminIt is the maximum value and minimum value of F respectively;tmaxIt is maximum number of iterations.
On the basis of many experiments, if consider that network loss will affect the setting of crossover probability.In the feelings for not considering network loss
Under condition, crossover probability CR is set as linearly increasing according to formula (24), to improve population diversity and global convergence.
Wherein CRmaxAnd CRminIt is the maximum value and minimum value of CR respectively.When considering network loss, CR is set as linearly passing
Subtract faster to search out optimal solution, referring to formula (25).
In order to which more comprehensively verifying effectiveness of the invention, simulation case of the invention use 13 machine set systems, according to
13 units are divided into 2 fine particles by Granule Computing particle partition strategy.Parameter setting is shown in Table 1.Table 2 gives using and does not adopt
With 13 Unit Economic scheduling statistics Comparative results of the invention.
1 13 unit example iteration of table and population setting
The comparison of 2 13 unit example statistical result of table
The maximum value of cost of electricity-generating, minimum value and average value in example are compared, it can be found that using of the invention
The result fluctuation range that economic load dispatching method obtains is small, and average value is compared with other methods, and has obvious superiority, to effectively mention
High algorithm solving precision, can prove the validity of this method.With the expansion of unit scale, calculating dimension be will be greatly reduced,
As a result precision will effectively improve, and superiority of the invention can embody more obvious.
Each embodiment in this specification is described in a progressive manner, the highlights of each of the examples are with other
The difference of embodiment, the same or similar parts in each embodiment may refer to each other.For system disclosed in embodiment
For, since it is corresponded to the methods disclosed in the examples, so being described relatively simple, related place is said referring to method part
It is bright.
Used herein a specific example illustrates the principle and implementation of the invention, and above embodiments are said
It is bright to be merely used to help understand method and its core concept of the invention;At the same time, for those skilled in the art, foundation
Thought of the invention, there will be changes in the specific implementation manner and application range.In conclusion the content of the present specification is not
It is interpreted as limitation of the present invention.