CN108988318A - A kind of method of partition recovery containing micro-grid power system - Google Patents
A kind of method of partition recovery containing micro-grid power system Download PDFInfo
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- CN108988318A CN108988318A CN201810621800.3A CN201810621800A CN108988318A CN 108988318 A CN108988318 A CN 108988318A CN 201810621800 A CN201810621800 A CN 201810621800A CN 108988318 A CN108988318 A CN 108988318A
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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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- 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]
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
- Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
- Y04S10/00—Systems supporting electrical power generation, transmission or distribution
- Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
- Y04S10/52—Outage or fault management, e.g. fault detection or location
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Abstract
The present invention relates to a kind of methods of partition recovery containing micro-grid power system, and micro-grid power system will be contained by, which including the following steps:, is reduced to a network topological diagram；Probability and time, calculating subregion decision function value that node to be restored is successfully recovered by different subregions, which are solved, using Mini-routing primarily determines the affiliated subregion of node to be restored；It tests and adjusts to division result；The unit starting sequential optimization model in each subregion is established, Mixed integer linear programming is translated into, is solved using linear programming for solution device ILOG CPLEX；According to division result and unit starting sequential optimization as a result, formulating system black-start scheme.Method of the invention it is achieved that quick subregion and unit starting sequential optimization after having a power failure on a large scale containing micro-grid power system, accelerate system black starting-up process.
Description
Technical field
The present invention relates to black starting-up technical fields, more particularly, to a kind of method of partition recovery containing micro-grid power system.
Background technique
With the development of regional power grid interconnection and extra-high voltage alternating current-direct current engineering, electric network composition is constantly complicated, influences power grid peace
Stable factor is increasing entirely, and risk of having a power failure on a large scale increases.Reasonable black-start scheme is formulated to quickly extensive after large-scale blackout
Multiple load power supply reduces economic loss and guarantees that social stability is of great significance.There are multiple black starting-up power supplys in system
In the case of, subregion usually is carried out to whole network, each subregion independent parallel restores, to improve the feasibility of recovery scheme and reliable
Property.
Under the international background of energy shortage, the new energy power generation technologies such as photovoltaic, wind-powered electricity generation and micro-capacitance sensor technology are grown rapidly,
Profound influence is produced to conventional electric power system pattern.Do not have the tradition of black start-up ability using microgrid as backup power source transformation
Unit can increase the black starting-up power supply of system, alleviate the insufficient embarrassment of regional power grid black starting-up power supply.On this basis to mistake
Electric region carries out subregion and helps speed up system black starting-up process using parallel recovery plan.
Existing research is seldom related to the power system blackstart of microgrid participation mainly for the black starting-up of traditional power grid,
Parallel recovery plan can not just be implemented in the case where black starting-up power supply is deficient.The optimization of unit starting sequence inside each subregion
In the start-up course of rare meter and unit, method for solving mostly uses the intelligent optimization algorithms such as particle swarm algorithm, genetic algorithm, solves
Speed is difficult to be protected.
Summary of the invention
The present invention in order to overcome at least one of the drawbacks of the prior art described above, provides a kind of subregion containing micro-grid power system
Restoration methods realize quick subregion and unit starting sequential optimization after having a power failure on a large scale containing micro-grid power system, accelerate system
Black starting-up process.
In order to solve the above technical problems, the technical solution adopted by the present invention is that: a kind of partition recovery containing micro-grid power system
Method, comprising the following steps:
S1. a network topological diagram is reduced to according to the parameter characteristic containing micro-grid power system；
S2. the probability and time that node to be restored is successfully recovered by different black starting-up nodes are solved using Mini-routing,
Thus subregion decision function value is calculated, primarily determines the affiliated subregion of node to be restored；
S3. examine power generation capacity and the load of each subregion whether in a basic balance, if there is serious unbalanced situation,
Then borderline node is repartitioned；
S4. the unit starting sequential optimization model in each subregion is established, mixed integer linear programming is translated into and asks
Topic is solved using linear programming for solution device ILOG CPLEX；
S5. according to unit starting sequential optimization in division result and subregion as a result, formulating system black-start scheme, realization divides
Area's parallel recovery.
Further, the simplification step of electric power networks includes: in the S1 step
S11. generator node all in power grid topology model, load bus and power transformation tiny node are abstracted as nothing in figure
The node of difference, to same processing can be made with the microgrid of black starting-up；
S12. all transmission lines of electricity and transformer branch are abstracted as the side of Weighted Coefficients in network；
S13. the operating time of the starting time, the recovery time of power transformation tiny node and power equipment of generator node counts
Enter the weight on side；
S14. if there is double loop, then merged, ignore shunt capacitance branch.
Further, the step of affiliated subregion of node to be restored is determined in the S2 step include:
S21. obtained point is simplified as start node using node to be restored, obtained node is simplified as mesh using black starting-up power supply
Node is marked, is scanned for respectively to different destination nodes from start node, acquires minimal path sets；
S22. non cross link transformation is carried out to minimal path sets using " leave out and leave " algorithm, obtains mutual exclusive minimal path
Collection, solves the probability that node to be restored is successfully recovered by different black starting-up nodes, formula are as follows:
In formula, k is node serial number, and z is subregion label, and R (k, z) is k node by the successful probability of z partition recovery, Si' the
The mutual exclusive minimal path of i item, m are the item number of non cross link minimal path；
S23. subregion decision function value is calculated, subregion decision function is established as follows:
F (k, z)=α tav(k,z)-βR(k,z)
In formula, tav(k, z) be k node by z partition recovery when average path recovery time, i.e., all roads in minimal path sets
The average value of diameter recovery time, α, β are weight coefficient；
S24. the subregion decision function value that node more to be restored is restored by different black starting-up nodes, node to be restored is returned
Enter the smallest subregion of subregion decision function value.
Further, the unit starting sequential optimization model in the S4 step in each subregion is as follows:
In formula, MkTo be activated unit quantity in subregion k；PjmaxStablize for unit j and contributes；PjstartStart institute for unit j
Need power；tjstartStart the time for unit j.
Further, the Optimized model needs to meet following constraint condition:
1. the linearisation constraint of unit starting process:
In formula, binary decision variableFor limitingValue range, binary decision variableBy secondary variable
And ujtIt is converted into a secondary variable,ujtIndicate unit j in the shape of t moment
State, t ∈ { 0,1 ..., T }, NkFor black starting-up power supply in subregion k and the total quantity of unit to be restored, l=Nk-Mk+1,Nk-Mk+
2,…,Nk(black starting-up unit), i=1,2 ..., Nk(all units), j=1,2 ..., Mk(being activated unit), RriFor unit
Climbing rate, PimaxFor unit maximum output；
2. the unit starting crash time constrains:
In formula, tjstartFor the starting time of unit j, TCH,jFor unit thermal starting maximum crash time, TCC,jIt is cold for unit
Start the minimum critical time；
3. unit starting power constraint:
In formula, RriFor unit climbing rate, PjstartFor unit starting power,When to start climbing from zero moment to unit
Between,It contributes the time for set steady；
4. security constraint and microgrid constraint:
Need to consider the energy storage shape of voltage and reactive balance security constraint problem and microgrid when formulating black-start scheme
The related constraints such as state, this partially restrained are configured according to the actual demand of safety check.
Compared with prior art, beneficial effect is: one kind method of partition recovery containing micro-grid power system provided by the invention,
Microgrid is included in the formulation of power system blackstart scheme, using Paralleled recovery scheme, accelerates system recovering process.It will
Inside each subregion unit starting sequential optimization problem is converted into Mixed integer linear programming, model meter and the starting of unit
Process can use linear programming for solution device ILOG CPLEX solution, ensure solving speed and feasibility.
Detailed description of the invention
Fig. 1 is the flow chart of the method for partition recovery containing micro-grid power system of the invention.
Fig. 2 is the network topological diagram simplified in the present invention.
Fig. 3 is the search tree that minimal path sets are sought in the present invention.
Fig. 4 is unit output function linearization schematic diagram in the present invention.
Fig. 5 is that unit starting power function linearizes schematic diagram in the present invention.
Specific embodiment
Attached drawing only for illustration, is not considered as limiting the invention；In order to better illustrate this embodiment, attached
Scheme certain components to have omission, zoom in or out, does not represent the size of actual product；To those skilled in the art,
The omitting of some known structures and their instructions in the attached drawings are understandable.Being given for example only property of positional relationship is described in attached drawing
Illustrate, is not considered as limiting the invention.
As shown in Figure 1, a kind of method of partition recovery containing micro-grid power system, comprising the following steps:
Step 1. is reduced to a network topological diagram according to the parameter characteristic containing micro-grid power system；
Wherein, the simplification step of electric power networks includes:
S11. generator node all in power grid topology model, load bus and power transformation tiny node are abstracted as nothing in figure
The node of difference, to same processing can be made with the microgrid of black starting-up；
S12. all transmission lines of electricity and transformer branch are abstracted as the side of Weighted Coefficients in network；
S13. the operating time of the starting time, the recovery time of power transformation tiny node and power equipment of generator node counts
Enter the weight on side；
S14. if there is double loop, then merged, ignore shunt capacitance branch.
Step 2. using Mini-routing solve probability that node to be restored is successfully recovered by different black starting-up nodes and when
Between, subregion decision function value is thus calculated, primarily determines the affiliated subregion of node to be restored；
Wherein it is determined that the step of node to be restored affiliated subregion, includes:
S21. obtained point is simplified as start node using node to be restored, obtained node is simplified as mesh using black starting-up power supply
Node is marked, is scanned for respectively to different destination nodes from start node, acquires minimal path sets；
In conjunction with Fig. 2, using point 1 as start node, using point 4 as destination node, successively searched to point 4 from point 1 for root node
Rope whole minimal path, search tree are as shown in Fig. 3.By search tree result it is found that putting 1 to the minimal path sets for putting 4 are as follows: [x1x4x7,
x1x3x6,x2x5x3x4x7,x2x5x6]；
S22. non cross link transformation is carried out to minimal path sets using " leave out and leave " algorithm, obtains mutual exclusive minimal path
Collection, solves the probability that node to be restored is successfully recovered by different black starting-up nodes.
Explanation carries out non cross link transformation to minimal path sets and solves node to be restored by some black starting-up section by taking Fig. 2 as an example
The process for the probability that point is successfully recovered:
A) minimal path sets matrix S is defined, a n-dimensional vector E is defined to each minimal pathi(x1,x2,…,xn),
B) it calculates
H1=(1 00100 1)
H2=(2 01 101 1)
H3=(21 2 21 1 2)
H4=(2 22222 2)
C) compare HjAnd EjIf HjE in upper certain nonzero element positionsjElement be zero, then by they in HjIn position
The descending position for writing down them of number is set, marked as P1,P2,…,Pr.EjTo HjIt is decomposed into two vector Ej(Pr) andE is replaced with 1 and -1 respectivelyjTo flow control Pr0 on position.If Ej(Pr) in there is 1 position to contain any Ei(i
< j) all have 1 position, just leave out Ej(Pr), if each EiThere are the position of 1 (- 1) at least one and E in (i < j)j
(Pr) in position -1 (1) it is corresponding, be left with Ej(Pr), it is not also left if do not left out, continues to decompose.It is right?
Make similar processing.Wherein, " 1 " indicates Plant in good condition, and " -1 " indicates equipment fault, and " 0 " indicates to be free of this equipment.
Fig. 2 finally obtains the minimal path matrix of non cross link are as follows:
D) probability that node to be restored is successfully recovered by different black starting-up nodes is calculated:
In formula, k is node serial number, and z is subregion label, and R (k, z) is k node by the successful probability of z partition recovery, S 'iThe
The mutual exclusive minimal path of i item, m are the item number of non cross link minimal path；
Fig. 2 interior joint 1 is expressed as by the probability that the success of node 4 restores:
In formula, p (xi)=piFor equipment i work normally probability,For the probability of equipment i failure.
S23. subregion decision function value is calculated, subregion decision function is established as follows:
F (k, z)=α tav(k,z)-βR(k,z)
In formula, tav(k, z) be k node by z partition recovery when average path recovery time, i.e., all roads in minimal path sets
The average value of diameter recovery time, α, β are weight coefficient；
S24. the subregion decision function value that node more to be restored is restored by different black starting-up nodes, node to be restored is returned
Enter the smallest subregion of subregion decision function value.
Whether step 3. examines the power generation capacity of each subregion and load in a basic balance, if there is serious unbalanced feelings
Condition then repartitions borderline node.
Step 4. establishes the unit starting sequential optimization model in each subregion, is translated into mixed integer linear programming
Problem is solved using linear programming for solution device ILOG CPLEX；
Wherein, the unit starting sequential optimization model in each subregion is as follows:
In formula, MkTo be activated unit quantity in subregion k；PjmaxStablize for unit j and contributes；PjstartStart institute for unit j
Need power；tjstartStart the time for unit j.
In addition, converting the linearization process of Mixed integer linear programming for nonlinear optimal problem, steps are as follows:
S41. unit output function linearization.As shown in figure 4, introducing binary decision variableBecome with linear decision
Amount(starting to climb from zero moment to unit),(unit climbing),(set steady power output) is by unit output function Pigen
(t) it is defined as linear quadratic form, expression formula is as follows:
In formula, TictpTo start to synchronous required time, R from unitriFor unit creep speed, PimaxGo out for unit maximum
Power, binary decision variableFor limitingValue range；
S42. unit starting power function linearizes.As shown in figure 5, introducing binary decision variableBecome with linear decision
Amount(from zero moment to unit starting),(unit starting) is by unit starting power function Pigen(t) it is defined as linear quadratic shape
Formula, expression formula are as follows:
S43. T binary decision variable u is introducedjt, will be in above-mentioned formulaFurther conversion, draws
Enter binary decision variableWithTwo secondary variables are converted into a secondary variable, expression formula is as follows:
In formula, ujtUnit j is indicated in the state of t moment, 1 has been turned on for unit, and 0 is inactive for unit.
Specifically, Optimized model needs to meet following constraint condition:
1. the linearisation constraint of unit starting process:
In formula, binary decision variableFor limitingValue range, binary decision variableBy secondary variableWith
ujtIt is converted into a secondary variable,ujtIndicate unit j t moment state,
T ∈ { 0,1 ..., T }, NkFor black starting-up power supply in subregion k and the total quantity of unit to be restored, l=Nk-Mk+1,Nk-Mk+2,…,
Nk(black starting-up unit), i=1,2 ..., Nk(all units), j=1,2 ..., Mk(being activated unit), RriFor unit climbing
Rate, PimaxFor unit maximum output；
2. the unit starting crash time constrains:
In formula, tjstartFor the starting time of unit j, TCH,jFor unit thermal starting maximum crash time, TCC,jIt is cold for unit
Start the minimum critical time；
3. unit starting power constraint:
In formula, RriFor unit climbing rate, PjstartFor unit starting power,When to start climbing from zero moment to unit
Between,It contributes the time for set steady；
4. security constraint and microgrid constraint:
Need to consider the energy storage shape of voltage and reactive balance security constraint problem and microgrid when formulating black-start scheme
The related constraints such as state, this partially restrained are configured according to the actual demand of safety check.
Step 5. is according to unit starting sequential optimization in division result and subregion as a result, formulating system black-start scheme, in fact
Existing Paralleled restores.
Obviously, the above embodiment of the present invention be only to clearly illustrate example of the present invention, and not be pair
The restriction of embodiments of the present invention.For those of ordinary skill in the art, may be used also on the basis of the above description
To make other variations or changes in different ways.There is no necessity and possibility to exhaust all the enbodiments.It is all this
Made any modifications, equivalent replacements, and improvements etc., should be included in the claims in the present invention within the spirit and principle of invention
Protection scope within.
Claims (5)
1. a kind of method of partition recovery containing micro-grid power system, which comprises the following steps:
S1. a network topological diagram is reduced to according to the parameter characteristic containing micro-grid power system；
S2. the probability and time that node to be restored is successfully recovered by different black starting-up nodes are solved using Mini-routing, thus
Subregion decision function value is calculated, primarily determines the affiliated subregion of node to be restored；
S3. examine power generation capacity and the load of each subregion whether in a basic balance, it is if there is serious unbalanced situation, then right
Borderline node is repartitioned；
S4. the unit starting sequential optimization model in each subregion is established, Mixed integer linear programming is translated into, benefit
It is solved with linear programming for solution device ILOG CPLEX；
S5. according to unit starting sequential optimization in division result and subregion as a result, formulating system black-start scheme, realization subregion is simultaneously
Row restores.
2. one kind method of partition recovery containing micro-grid power system according to claim 1, which is characterized in that the S1 step
The simplification step of electric power networks includes: in rapid
S11. generator node all in power grid topology model, load bus and power transformation tiny node are abstracted as indifference in figure
Node, to same processing can be made with the microgrid of black starting-up；
S12. all transmission lines of electricity and transformer branch are abstracted as the side of Weighted Coefficients in network；
S13. the operating time of the starting time, the recovery time of power transformation tiny node and power equipment of generator node is included in side
Weight；
S14. if there is double loop, then merged, ignore shunt capacitance branch.
3. one kind method of partition recovery containing micro-grid power system according to claim 1, which is characterized in that the S2 step
The step of affiliated subregion of node to be restored is determined in rapid include:
S21. obtained point is simplified as start node using node to be restored, obtained node is simplified as target section using black starting-up power supply
Point is scanned for respectively to different destination nodes from start node, acquires minimal path sets；
S22. non cross link transformation is carried out to minimal path sets using " leave out and leave " algorithm, obtains mutual exclusive minimal path sets, asks
Solve the probability that node to be restored is successfully recovered by different black starting-up nodes, formula are as follows:
In formula, k is node serial number, and z is subregion label, and R (k, z) is k node by the successful probability of z partition recovery, S 'iI-th mutually
Incompatible minimal path, m are the item number of non cross link minimal path；
S23. subregion decision function value is calculated, subregion decision function is established as follows:
F (k, z)=α tav(k,z)-βR(k,z)
In formula, tav(k, z) be k node by z partition recovery when average path recovery time, i.e., all paths are extensive in minimal path sets
The average value of multiple time, α, β are weight coefficient；
Node to be restored is included into point by the S24. subregion decision function value that node more to be restored is restored by different black starting-up nodes
The smallest subregion of area's decision function value.
4. one kind method of partition recovery containing micro-grid power system according to claim 3, which is characterized in that the S4 step
Unit starting sequential optimization model in rapid in each subregion is as follows:
In formula, MkTo be activated unit quantity in subregion k；PjmaxStablize for unit j and contributes；PjstartFunction needed for starting for unit j
Rate；tjstartStart the time for unit j.
5. one kind method of partition recovery containing micro-grid power system according to claim 4, which is characterized in that the optimization
Model needs to meet following constraint condition:
1. the linearisation constraint of unit starting process:
In formula, binary decision variableFor limitingValue range, binary decision variableBy secondary variableAnd ujtTurn
Change a secondary variable into,ujtIndicate state of the unit j in t moment, t ∈
{ 0,1 ..., T }, NkFor black starting-up power supply in subregion k and the total quantity of unit to be restored, l=Nk-Mk+1,Nk-Mk+2,…,Nk
(black starting-up unit), i=1,2 ..., Nk(all units), j=1,2 ..., Mk(being activated unit), RriFor unit climbing rate,
PimaxFor unit maximum output；
2. the unit starting crash time constrains:
In formula, tjstartFor the starting time of unit j, TCH,jFor unit thermal starting maximum crash time, TCC,jFor unit cold start-up
The minimum critical time；
3. unit starting power constraint:
In formula, RriFor unit climbing rate, PjstartFor unit starting power,To start the time of climbing from zero moment to unit,
It contributes the time for set steady；
4. security constraint and microgrid constraint:
Need to consider voltage and reactive balance security constraint problem and the energy storage state of microgrid etc. when formulating black-start scheme
Related constraint, this partially restrained are configured according to the actual demand of safety check.
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