CN103853042B - A kind of decomposition optimization of Multi-terminal Unified Power Flow Controller - Google Patents
A kind of decomposition optimization of Multi-terminal Unified Power Flow Controller Download PDFInfo
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Abstract
A kind of DECOMPOSED OPTIMIZATION computational methods of Multi-terminal Unified Power Flow Controller, are characterized in comprising the following steps:1. obtain steady-state operation parameter needed for electric power system tide calculating;2. determine the installation site and control parameter scope of Multi-terminal Unified Power Flow Controller;3. being based on Equivalent Network, Multi-terminal Unified Power Flow Controller branch road is equivalent to include multiple PQ nodes of control targe;4. using TABU search, optimal load flow calculating is repeatedly carried out, to determine the real power control target of Multi-terminal Unified Power Flow Controller;5. according to the control targe of Multi-terminal Unified Power Flow Controller and the running status of system has been obtained, its control parameter is asked for.Optimal Power Flow Problems computational problem containing Multi-terminal Unified Power Flow Controller is decomposed into a bilevel optimization problem by the present invention by Equivalent Network, it can more effectively and reliably carry out the Optimal Power Flow Problems containing Multi-terminal Unified Power Flow Controller to calculate, there is engineering use value.
Description
Technical field
The present invention relates to a kind of power system computation method, more particularly to a kind of electricity for including Multi-terminal Unified Power Flow Controller
Force system decomposition optimization, belong to power system power transmission and operation technical field.
Background technology
Carried from the concept of flexible AC transmitting system (Flexible AC Transmission Systems abbreviation FACTS)
Since going out, increasing FACTS elements are applied in electrical power transmission system to ensure the safe operation of power network.Wherein unified tide
Stream controller is causing the extensive concern of domestic and foreign scholars due to its powerful control function always.With entering for FACTS technologies
One step develops, a kind of to come from THE UPFC but the FACTS element more more powerful than THE UPFC function ---
Multi-terminal Unified Power Flow Controller (multi-terminal unified power flow controller abbreviation M-UPFC) is opened
Beginning enters the sight of people.Multi-terminal Unified Power Flow Controller not only can control with control node voltage but also simultaneously a plurality of line
The trend of a certain sub-network in road or system, with THE UPFC the trend of single line can only be controlled to compare and shown more
Powerful control ability, and THE UPFC more single-ended than more more has an economic benefit.Multiterminal Unified Power Flow control simultaneously
Device is very strong to the adaptability of power system, it is not necessary to changes the hardware configuration of power system, is a kind of control electric power system tide, increases
The effective technology of forceful electric power Force system transmission power limit and increase stability of power system.Therefore, research contains the unified tide of multiterminal
The electric power system optimization computational problem of stream controller has important practical significance.
It is at present, less for the document of the Optimal Power Flow Problems computational methods containing Multi-terminal Unified Power Flow Controller,
Rarely have document to carry out in-depth study to it.Optimal power flow problems are a kind of complicated nonlinear mathematicses problems, with modern number
It is worth the continuous development of optimum theory and Optimal Power Flow Problems computing technique, various numerical value class optimization methods are applied to electric power
System optimal Load flow calculation, such as linear programming method, QUADRATIC PROGRAMMING METHOD FOR and nonlinear programming approach, wherein based on newton class
Interior optimal load flow of method for solving is calculated as the main flow of modern optimal load flow computational methods.To more in some only documents
The optimal load flow of end THE UPFC, which solves, is all based on interior point method, changes on this basis plus some, such as based on letter
Rely the interior point method in domain etc..But this kind of method is primarily present three problems, one is the introduction of the control of Multi-terminal Unified Power Flow Controller
Equation processed, and the original equation of power system optimize solution in the lump, add the non-linear of Solve problems, thus the receipts of system
Holding back property and less reliable;Second, it is necessary to carry out larger repair to original algorithm and program after adding new governing equation
Change;Third, existing Optimal Power Flow algorithm and program are not made full use of.For these reasons, this kind of method is difficult in engineering
Using.
The content of the invention
It is an object of the invention to provide a kind of reliably optimal tide of the power system containing Multi-terminal Unified Power Flow Controller
Flow calculation methodologies.The method of the bright use of we is the Optimal Power Flow Problems computational problem containing Multi-terminal Unified Power Flow Controller
One bilevel optimization problem is decomposed into by Equivalent Network:Outer layer is based on TABU search, by calling internal layer optimization to calculate, comes real
Now to the optimization of Multi-terminal Unified Power Flow Controller real power control power;Internal layer optimization calculate be it is determined that multiterminal Unified Power Flow control
Under conditions of device real power control power control value processed, carry out traditional optimal load flow and calculate.The method that the present invention uses, Neng Gougeng
Carry out effectively and reliably the Optimal Power Flow Problems containing Multi-terminal Unified Power Flow Controller to calculate, there is engineering to use valency
Value.
The features of the present invention and the fundamental difference of the prior art above method are:(1) Equivalent Network is based on, multiterminal are unified
Flow controller branch road is equivalent to multiple PQ nodes (2) comprising control targe and uses TABU search, only optimizes the unified tide of multiterminal
One equivalent control variable of stream controller, i.e. the real power control target of Multi-terminal Unified Power Flow Controller, so as to reduce meter
Calculation amount, simplify optimization and calculate;(3) optimization process is completed by bilevel optimization strategy, and outer layer uses TABU search, excellent
Change the control targe of Multi-terminal Unified Power Flow Controller, internal layer uses traditional optimal load flow computational methods, optimizes the operation of system
Internal layer optimization is called in state, outer layer optimization;It is optimal that the above method improves the power system comprising Multi-terminal Unified Power Flow Controller
The efficiency and reliability of Load flow calculation.
To reach above-mentioned purpose, the technical solution adopted by the present invention is:This electricity for including Multi-terminal Unified Power Flow Controller
Force system decomposition optimization, it is characterized in carrying out according to the following steps:
Step 1) obtains steady-state operation parameter needed for Optimal Power Flow Problems calculating;
Step 2) determines the control parameter and control targe and modification scope of Multi-terminal Unified Power Flow Controller;
Step 3) is based on Equivalent Network, Multi-terminal Unified Power Flow Controller branch road is equivalent to include multiple PQ of control targe
Node;
Step 4) uses TABU search, optimal load flow calculating is repeatedly carried out, to determine having for Multi-terminal Unified Power Flow Controller
Work(control targe:
1. Multi-terminal Unified Power Flow Controller real power control target variable set is encoded;
2. produce initial solution;
3. single movement and exchange movement are respectively acting on into initial solution, one group of feasible experiment solution is obtained;
4. optimal load flow calculating is carried out to above-mentioned feasible experiment solution, using the target function value that optimal load flow calculates as taboo
Avoid the evaluation function of search;
5. update TABU search table;
6. update initial solution;
7. judge end condition:If continuously iterative target functional value does not improve or reached maximum allowable iteration time several times
Number, then stop calculating, output result;
If 8. being not reaching to end condition, 3. repetition walks;
Step 5) asks for its control according to the obtained control targe of Multi-terminal Unified Power Flow Controller and the running status of system
Parameter processed.
Steady-state operation parameter needed for described acquisition Optimal Power Flow Problems calculating, refers to:AC system network is opened up
Structure, power transmission network parameter are flutterred, system generating and load parameter etc. carry out parameter necessary to AC system optimal load flow calculating.
The control parameter and control targe and modification scope of described determination Multi-terminal Unified Power Flow Controller, including:
A. the control parameter of Multi-terminal Unified Power Flow Controller refers to the multiterminal Unified Power Flow control in electric power system tide is analyzed
The equivalent control parameter of device processed, in the present invention, Multi-terminal Unified Power Flow Controller are expressed as in network analysis as n+1 (n >=2)
Individual controllable voltage source, on an access bus for being connected in parallel on Multi-terminal Unified Power Flow Controller, n are connected on multiterminal Unified Power Flow
On the branch road of controller installation, therefore, the control parameter of Multi-terminal Unified Power Flow Controller is series connection and controllable voltage source in parallel
Amplitude and phase.
B. Multi-terminal Unified Power Flow Controller control targe refers to that Multi-terminal Unified Power Flow Controller parallel connection part injects to bus
Active power and reactive power;The active and reactive power of the circuit of part in series control;Wherein parallel connection part is noted to bus
The active power entered and the active power sum numerically equal of the circuit of part in series control, these stable state control targes
Control range can also obtain more accurate information by being provided during engineering design by multiple Load flow calculation.
It is described based on Equivalent Network, Multi-terminal Unified Power Flow Controller branch road is equivalent to include multiple PQ of control targe
Node refers to:According to the equivalent Substitution Theoren of electric network, in steady-state analysis, Multi-terminal Unified Power Flow Controller to power system
Control action characterized with equivalent injecting power, these equivalent injecting powers are respectively acting on and multiterminal Unified Power Flow control
On n+1 connected equivalent node of device processed, in the calculating of optimal load flow of Multi-terminal Unified Power Flow Controller is considered, this n+1
Equivalent node is handled as PQ nodes.
Described encodes to Multi-terminal Unified Power Flow Controller real power control target variable set, including:
A. to a certain Multi-terminal Unified Power Flow Controller real power control target variable, according to adjustable extent, between the parameter
Every carrying out discretization, the set to be selected of the parameter is formed;
B. each element of the selected works with is treated to the parameter, carries out binary coding;If certain parameter T binary coding pair
The decimal number answered is d, then has:
In formula:TmaxAnd TminFor the minimum and maximum value of the parameter;N is binary coding digit;
C. above-mentioned coding work is carried out to the real power control target variable of all Multi-terminal Unified Power Flow Controllers in system;
D. the binary coding of all parameter sets is connected, forms (0-1) sequence.
Described generation initial solution, including:
A. to Multi-terminal Unified Power Flow Controller real power control variables collection, initial value is assigned;
B. under the conditions of the initial parameter values, the traditional optimal load flow for carrying out internal layer calculates, and obtains the initial value of evaluation function;
C. the initial vector of parameter is write as binary coding.
Described is respectively acting on initial solution by single movement and exchange movement, including:
A. single movement:The a certain position for randomly selecting sequence carries out inversion operation;
B. movement is exchanged:Randomly select certain two progress inversion operations of sequence;
C. two kinds of movements are respectively acting on current solution, so as to obtain one group of Multi-terminal Unified Power Flow Controller control targe to
The experiment solution of amount.
The feasible experiment solution, including:
A. the experiment solution is not in TABU search table;
Although b. the experiment solution is in taboo list, meet to discharge criterion.
Optimal load flow calculating is carried out to above-mentioned feasible experiment solution, using the target function value that optimal load flow calculates as taboo
The evaluation function of search, including:
A. some feasible experiment solution is taken, passes through its binary coding, calculating parameter numerical value;
B. the real power control desired value the parameter value as Multi-terminal Unified Power Flow Controller;
C. using the network after Multi-terminal Unified Power Flow Controller equivalence as object is calculated, carry out traditional optimal load flow and calculate.
The active injection power of its medium value PQ nodes is definite value, variable of the idle injecting power as system optimization;
If d. calculating convergence, the evaluation function value using the optimization target values that optimal load flow calculates as TABU search;If meter
Not do not restrain, the evaluation function value for putting TABU search is infinity.
E. the system running state and the optimum control mesh of Multi-terminal Unified Power Flow Controller tried to achieve according to optimal load flow result
Scale value, calculate the control parameter of Multi-terminal Unified Power Flow Controller.If parameter not in reasonable interval, illustrates that this state of a control is not deposited
The evaluation function value of TABU search is being put as infinity.
F. made comparisons with original evaluation function value, retain functional value reckling and corresponding parameter value;
G. repeat to a, finished until all experiment solutions all calculate.
Described renewal TABU search table is the opposite direction moving recording for the movement that will be realized into taboo list.
The method that the present invention uses, it can more effectively and reliably carry out the power train containing Multi-terminal Unified Power Flow Controller
Optimal load flow of uniting calculates, and has engineering practical value.
Compared with prior art, beneficial effects of the present invention are:
1. this method has outstanding calculating performance.The internal layer optimization of this method first is by unified not comprising multiterminal
Traditional optimal load flow of flow controller is calculated come what is realized, does not increase the solution difficulty of system;Outer layer is just for more simultaneously
One real power control target variable of end THE UPFC optimizes, and simplifies calculating.Therefore this method overall calculation
Better performances.
2. it is adapted to complicated system-computed condition.The multiterminal whether this method can restrain and try to achieve according to optimal load flow
Whether feasible THE UPFC control parameter is judges the feasibility of current system running status.Therefore some restriction bars are worked as
Part is not accurate enough (the real power control section of such as Multi-terminal Unified Power Flow Controller), and this method can still provide rational result.
3. this method is easy to practical and commercial development.Because this method is mainly by calling internal layer not include multiterminal
Traditional optimal load flow of THE UPFC is calculated to realize, these features cause this method to be easy to practical and business to open
Hair.
Brief description of the drawings
Fig. 1 is the decomposition optimization overview flow chart of Multi-terminal Unified Power Flow Controller;
Fig. 2 is the equivalent schematic diagram of Multi-terminal Unified Power Flow Controller;
Fig. 3 is the flow chart that parameter optimization is carried out using TABU search;
Fig. 4 is IEEE30 node system example network topology structure figures.
Embodiment
The features and advantages of the present invention, embodiment are described in further details with example below in conjunction with the accompanying drawings.
As shown in Figure 1, Figure 2, Figure 3, Figure 4, a kind of decomposition optimization of Multi-terminal Unified Power Flow Controller, including following step
Suddenly:
Step 1) obtains steady-state operation parameter needed for Optimal Power Flow Problems calculating;
Step 2) determines the control parameter and control targe and modification scope of Multi-terminal Unified Power Flow Controller
Step 3) is based on Equivalent Network, Multi-terminal Unified Power Flow Controller branch road is equivalent to include multiple PQ of control targe
Node
Step 4) uses TABU search, optimal load flow calculating is repeatedly carried out, to determine having for Multi-terminal Unified Power Flow Controller
Work(control targe;
The first step:Multi-terminal Unified Power Flow Controller real power control target variable set is encoded;
Second step:Produce initial solution;
3rd step:Single movement and exchange movement are respectively acting on initial solution, obtain one group of feasible experiment solution;
4th step:Optimal load flow calculating is carried out to above-mentioned feasible experiment solution, the target function value that optimal load flow is calculated
Evaluation function as TABU search;
5th step:Update TABU search table;
6th step:Update initial solution;
7th step:Judge end condition:If continuous iterative target functional value several times does not improve or reaches maximum allowable and changes
Generation number, then stop calculating, output result;
8th step:If being not reaching to end condition, the 3rd step is weighed;
Step 5) asks for its control according to the obtained control targe of Multi-terminal Unified Power Flow Controller and the running status of system
Parameter processed;
Steady-state operation parameter needed for described acquisition Optimal Power Flow Problems calculating, refers to:AC system network is opened up
Structure, power transmission network parameter are flutterred, system generating and load parameter etc. carry out parameter necessary to AC system optimal load flow calculating.
The control parameter and control targe and modification scope of described determination Multi-terminal Unified Power Flow Controller, including:
A. the control parameter of Multi-terminal Unified Power Flow Controller refers to the multiterminal Unified Power Flow control in electric power system tide is analyzed
The equivalent control parameter of device processed, in the present invention, it is individual that Multi-terminal Unified Power Flow Controller is expressed as n+1 (n >=2) in network analysis
Controllable voltage source, on an access bus for being connected in parallel on Multi-terminal Unified Power Flow Controller, n are connected on multiterminal Unified Power Flow control
On the branch road of device installation processed.Therefore, the control parameter of Multi-terminal Unified Power Flow Controller is the width of series connection and controllable voltage source in parallel
Value and phase.
B. Multi-terminal Unified Power Flow Controller control targe refers to that Multi-terminal Unified Power Flow Controller parallel connection part injects to bus
Active power and reactive power;The active and reactive power of the circuit of part in series control;Wherein parallel connection part is noted to bus
The active power entered and the active power sum numerically equal of the circuit of part in series control.These stable state control targes
Control range can also obtain more accurate information by being provided during engineering design by multiple Load flow calculation.
It is described based on Equivalent Network, Multi-terminal Unified Power Flow Controller branch road is equivalent to include multiple PQ of control targe
Node refers to:According to the equivalent Substitution Theoren of electric network, in steady-state analysis, Multi-terminal Unified Power Flow Controller to power system
Control action characterized with equivalent injecting power, these equivalent injecting powers are respectively acting on and multiterminal Unified Power Flow control
On n+1 connected equivalent node of device processed, in the calculating of optimal load flow of Multi-terminal Unified Power Flow Controller is considered, this n+1
Equivalent node is handled as PQ nodes.
Described encodes to Multi-terminal Unified Power Flow Controller real power control target variable set, including:
A. to a certain Multi-terminal Unified Power Flow Controller real power control target variable, according to adjustable extent, between the parameter
Every carry out discretization, formed the parameter treat selected works and;
B. each element of the selected works with is treated to the parameter, carries out binary coding;If certain parameter T binary coding pair
The decimal number answered is d, then has:
In formula:TmaxAnd TminFor the minimum and maximum value of the parameter;N is binary coding digit;
C. above-mentioned coding work is carried out to the real power control target variable of all Multi-terminal Unified Power Flow Controllers in system;
D. the binary coding of all parameter sets is connected, forms (0-1) sequence.
Described generation initial solution, including:
A. to Multi-terminal Unified Power Flow Controller real power control variables collection, initial value is assigned;
B. under the conditions of the initial parameter values, the traditional optimal load flow for carrying out internal layer calculates, and obtains the initial value of evaluation function;
C. the initial vector of parameter is write as binary coding.
Described is respectively acting on initial solution by single movement and exchange movement, including:
A. single movement:The a certain position for randomly selecting sequence carries out inversion operation;
B. movement is exchanged:Randomly select certain two progress inversion operations of sequence;
C. two kinds of movements are respectively acting on current solution, so as to obtain one group of Multi-terminal Unified Power Flow Controller control targe to
The experiment solution of amount.
Described feasible experiment solution, including:
A. the experiment solution is not in TABU search table;
Although b. the experiment solution is in taboo list, meet to discharge criterion.
Optimal load flow calculating is carried out to above-mentioned feasible experiment solution, using the target function value that optimal load flow calculates as taboo
The evaluation function of search, including:
A. some feasible experiment solution is taken, passes through its binary coding, calculating parameter numerical value;
B. the real power control desired value the parameter value as Multi-terminal Unified Power Flow Controller;
C. using the network after Multi-terminal Unified Power Flow Controller equivalence as object is calculated, carry out traditional optimal load flow and calculate.
The active injection power of its medium value PQ nodes is definite value, variable of the idle injecting power as system optimization;
If d. calculating convergence, the evaluation function value using the optimization target values that optimal load flow calculates as TABU search;If meter
Not do not restrain, the evaluation function value for putting TABU search is infinity.
E. the system running state and the optimum control mesh of Multi-terminal Unified Power Flow Controller tried to achieve according to optimal load flow result
Scale value, calculate the control parameter of Multi-terminal Unified Power Flow Controller.If parameter not in reasonable interval, illustrates that this state of a control is not deposited
The evaluation function value of TABU search is being put as infinity.
F. made comparisons with original evaluation function value, retain functional value reckling and corresponding parameter value;
G. repeat to a, finished until all experiment solutions all calculate.
Described renewal TABU search table, including:
A. by the opposite direction moving recording of the movement realized into taboo list;
B. taboo list uses the way to manage of first in first out.
Fig. 1 is the decomposition optimization overview flow chart of Multi-terminal Unified Power Flow Controller.Flow chart and the implementation of the present invention
The basic step of mode is consistent.It should be noted that TABU search optimizes Multi-terminal Unified Power Flow Controller real power control mesh
Mark is that the result that it calculates optimal load flow returns, as taboo by repeatedly calling traditional optimal load flow to calculate what is realized
The evaluation function value of search.Called with reference to the optimal load flow in flow chart, to optimal power flow problems mentioned in the present invention
Specifically explain:
The Optimal Power Flow of power system is a typical nonlinear programming problem, and electric power system optimization equation is generally available
Following mathematical modeling statement:
min f(z)
In formula
z∈Rn;Z is the vector of all variables composition considered in optimization problem, includes the control variable and state of system
Variable;N is variable space dimension.In optimal power flow problems of the present invention, control variable include generating node active and
It is idle, candidate compensation buses idle, the equivalent PQ nodes of Multi-terminal Unified Power Flow Controller idle;State variable is that system respectively saves
The voltage magnitude and phase of point.The impedance parameter of electric network element set, Multi-terminal Unified Power Flow Controller equivalence PQ nodes it is active
For constant.
f:Rz→ R characterizes the object function of system optimized operation.It is the function of system variable vector, of the present invention
In optimal power flow problems, it can be the cost of electricity-generating of system, purchases strategies etc..
g:Rz→RngEquality constraints functions vector is characterized, ng is that system load flow is active and reactive power equation number.This hair
System load flow equation is about in bright described optimal power flow problems, after equality constraint refers to Multi-terminal Unified Power Flow Controller equivalence PQ nodes
Beam.
h:Rz→RnhInequality constraints functional vector is characterized, nh is inequality constraints number.The bright described optimal tide of we
In flow problem, the operation constraint of system can include node voltage and constrain, the constraint of transmission line of electricity transmission capacity, transmission cross-section capacity
Constraint, the active and idle constraint of generating capacity, System Reactive Power compensation node reactive compensation capacity constraint, multiterminal Unified Power Flow control
Reactive compensation capacity constraint of device equivalence PQ nodes processed etc..
Fig. 2 is the equivalent schematic diagram of Multi-terminal Unified Power Flow Controller.
Fig. 3 is the flow chart that parameter optimization is carried out using TABU search.The present invention is using TABU search technology come to parameter
Suitably adjusted, reach the purpose to frequency simulation track correction.TABU search is also known as TS methods, is a kind of extension neighborhood
Heuristic search, proposed earliest by Fred Glover in 1977, non-linear covering is solved as an optimal instrument
Problem.It can obtain knowledge using the special shape flexibly remembered in search procedure, to avoid search from being absorbed in local optimum.
It is applied successfully to solve large-scale combination optimal problem.The general principle of TS methods is:From initial solution X (for n-dimensional vector)
Start to search for.By using one group of operator " movement ", current solution is operated, randomly generates the one group of neighborhood currently solved N
(X) experiment solution X1, X2..., XK.In these caused neighborhoods test solution, selection wherein can most improve that solution of evaluation function
X* is as current locally optimal solution, even X=X*, iteration, until all ' movement ' can not improve evaluation function, table
Bright current solution is locally optimal solution.In order to avoid being absorbed in locally optimal solution, a kind of flexible " memory skill is employed in TS methods
Art ".In addition, in order to not miss as far as possible " movement " of generation optimal solution, TS methods are also using " release criterion " strategy.
The general step calculated using TABU search is as follows:
(1) original variable set is read in be encoded.
(2) initial solution is produced:An initial solution X is randomly generated in the range of control variables constraint, tries to achieve target function value f
(X) best solution vector X, is putopt=f (X)
(3) battery of tests solution is produced:Single movement and exchange movement are respectively acting on X, obtain one group of feasible experiment
Solve X1,X2,…,XK, and try to achieve corresponding f (X1),f(X2),…,f(XK)。
(4) neighborhood is searched for:The optimizing from above-mentioned experiment solution, a best experiment solution X* is obtained, if X* is not being avoided
In table, though or met in taboo list discharge criterion, then with X* update X, even X=X*;If the solution is in taboo list
In, while next best solution is then found, and repeat this process without release criterion is met again.
(5) initial solution is updated, updates initial solution with best experiment solution.
(6) taboo list is updated:By the opposite direction moving recording of the movement realized into taboo list, if taboo list is
It is full, then the movement recorded at first is excluded first.
(7) X is updatedopt:If f (X*)<f(Xopt), then update X with X*opt, otherwise XoptKeep constant.
(8) end condition is judged:If continuously iterative target functional value does not improve or reached maximum allowable iteration time several times
Number, then stop optimization, output result;Otherwise, go to step (3) and continue iteration.
Compared with other searching algorithms, TS algorithm has the stronger ability for jumping out locally optimal solution, thus restrains
Characteristic is good, the quality of solution is high, has been successfully applied in the problem of large-scale parameters of electric power system optimizes or adjusted.This hair
It is bright that the real power control target variable of Multi-terminal Unified Power Flow Controller is optimized using TABU search technology.
Fig. 4 is IEEE30 node system example network topology structure figures.Network of the method proposed by the present invention in 30 nodes
In carried out calculate checking, illustrate its feasibility.For ease of analyzing and calculating, the multiterminal Unified Power Flow of n=2 in Fig. 2 is taken to control
Device is calculating object, also referred to as two-terminal unified power flow controller.Circuit 2-4, circuit 21-22 and circuit 27-28 conveying are held
Amount is respectively set as 18MW, 20MW and 15MW, and remaining line transmission capacity is set as 30MW, two-terminal unified power flow controller installation
On circuit 6-9 and circuit 6-10.The maximum regulation and control amplitude of two-terminal unified power flow controller series equivalent voltage source is taken as 0.1pu,
The maximum regulation and control amplitude of parallel equivalent voltage source takes 1.0pu.The idle modification scope of two-terminal unified power flow controller equivalence PQ nodes
It is taken as 20MW and -20MW.Active modification scope is taken as circuit normal operation trend flow valuve ± 50%.Power purchase function value is as follows
Table:
After TABU search calculates by 142 times, the variable quantity of evaluation function value starts to gradually decrease less, tends to be steady.
By 90 search, it is as follows to obtain optimum results value:Two-terminal unified power flow controller Parallel Control parameter is:0.98pu,0.03
Degree;The control parameter of series connection controllable voltage source 1:0.16pu, 94.1 degree;The control parameter of series connection controllable voltage source 2:0.05pu,
93.7 degree, now dollar/hour of cost of electricity-generating 588.43.It can be seen that using method proposed by the present invention unite containing multiterminal
The Optimal Power Flow Problems of one flow controller calculate, and can carry out reliable to the running status of power system and effectively optimize
Control.
Claims (10)
1. a kind of decomposition optimization of Multi-terminal Unified Power Flow Controller, refers to the electric power containing Multi-terminal Unified Power Flow Controller
System optimal Load flow calculation problem is decomposed into a bilevel optimization problem by Equivalent Network:Outer layer is based on TABU search, passes through
Internal layer optimization is called to calculate, to realize the optimization to Multi-terminal Unified Power Flow Controller real power control power;Internal layer optimizes calculating
It is determined that Multi-terminal Unified Power Flow Controller real power control power control value under conditions of, carry out traditional optimal load flow and calculate,
It is characterized in that carry out according to the following steps:
Step 1) obtains steady-state operation parameter needed for Optimal Power Flow Problems calculating;
Step 2) determines the control parameter and control targe and modification scope of Multi-terminal Unified Power Flow Controller;
Step 3) is based on Equivalent Network, and Multi-terminal Unified Power Flow Controller branch road, which is equivalent to multiple PQ comprising control targe, to be saved
Point;
Step 4) uses TABU search, repeatedly carries out optimal load flow calculating, has power control determine Multi-terminal Unified Power Flow Controller
Target processed;
1. Multi-terminal Unified Power Flow Controller real power control target variable set is encoded;
2. produce initial solution;
3. single movement and exchange movement are respectively acting on into initial solution, one group of feasible experiment solution is obtained;
4. carrying out optimal load flow calculating to above-mentioned feasible experiment solution, the target function value that optimal load flow is calculated is searched as taboo
The evaluation function of rope;
5. update TABU search table;
6. update initial solution;
7. judge end condition:If continuously iterative target functional value does not improve or reached maximum allowable iterations several times,
Stop calculating, output result;
If 8. being not reaching to end condition, 3. repetition walks;
Step 5) asks for its control according to the obtained control targe of Multi-terminal Unified Power Flow Controller and the running status of system
Parameter.
A kind of 2. decomposition optimization of Multi-terminal Unified Power Flow Controller according to claim 1, it is characterised in that:It is described
Acquisition Optimal Power Flow Problems calculate needed for steady-state operation parameter, refer to:Topological structure, the power transmission network of AC system network
Network parameter, system generates electricity and load parameter carries out parameter necessary to AC system optimal load flow calculating.
A kind of 3. decomposition optimization of Multi-terminal Unified Power Flow Controller according to claim 1, it is characterised in that:It is described
Determination Multi-terminal Unified Power Flow Controller control parameter and control targe and modification scope, including:
A. the control parameter of Multi-terminal Unified Power Flow Controller refers to the Multi-terminal Unified Power Flow Controller in electric power system tide is analyzed
Equivalent control parameter, Multi-terminal Unified Power Flow Controller is the controllable voltage source of n+1 and n >=2, and one to be connected in parallel on multiterminal unified
On the access bus of flow controller, n are connected on the branch road of Multi-terminal Unified Power Flow Controller installation, and therefore, multiterminal are unified
The control parameter of flow controller is the amplitude and phase of series connection and controllable voltage source in parallel;
B. Multi-terminal Unified Power Flow Controller control targe refers to that Multi-terminal Unified Power Flow Controller parallel connection part has to what bus injected
Work(power and reactive power;The active and reactive power of the circuit of part in series control;Wherein parallel connection part injects to bus
Active power and the active power sum numerically equal of the circuit of part in series control.
A kind of 4. decomposition optimization of Multi-terminal Unified Power Flow Controller according to claim 1, it is characterised in that:It is described
Based on Equivalent Network, Multi-terminal Unified Power Flow Controller branch road is equivalent to multiple PQ nodes comprising control targe and referred to:Press
According to the equivalent Substitution Theoren of electric network, in steady-state analysis, the control action Multi-terminal Unified Power Flow Controller to power system
Characterized with equivalent injecting power, these equivalent injecting powers are respectively acting on what is be connected with Multi-terminal Unified Power Flow Controller
On n+1 equivalent node, in the calculating of optimal load flow of THE UPFC is considered, this n+1 equivalent node conducts
PQ nodes are handled.
A kind of 5. decomposition optimization of Multi-terminal Unified Power Flow Controller according to claim 1, it is characterised in that:It is described
Multi-terminal Unified Power Flow Controller real power control target variable set is encoded, including:
A. to a certain Multi-terminal Unified Power Flow Controller real power control target variable, according to adjustable extent, the parameter space is entered
Row discretization, form the set to be selected of the parameter;
B. each element of the selected works with is treated to the parameter, carries out binary coding;If corresponding to certain parameter T binary coding
Decimal number is d, then has:
In formula:TmaxAnd TminFor the minimum and maximum value of the parameter;N is binary coding digit;
C. above-mentioned coding work is carried out to the real power control target variable of all Multi-terminal Unified Power Flow Controllers in system;
D. the binary coding of all parameter sets is connected, forms 0-1 sequence.
A kind of 6. decomposition optimization of Multi-terminal Unified Power Flow Controller according to claim 1, it is characterised in that:It is described
Generation initial solution, including:
A. to Multi-terminal Unified Power Flow Controller real power control variables collection, initial value is assigned;
B. under the conditions of the initial parameter values, the traditional optimal load flow for carrying out internal layer calculates, and obtains the initial value of evaluation function;
C. the initial vector of parameter is write as binary coding.
A kind of 7. decomposition optimization of Multi-terminal Unified Power Flow Controller according to claim 1, it is characterised in that:It is described
By single movement and exchange movement be respectively acting on initial solution, including:
A. single movement:The a certain position for randomly selecting sequence carries out inversion operation;
B. movement is exchanged:Randomly select certain two progress inversion operations of sequence;
C. two kinds of movements are respectively acting on current solution, so as to obtain one group of Multi-terminal Unified Power Flow Controller control targe vector
Experiment solution.
A kind of 8. decomposition optimization of Multi-terminal Unified Power Flow Controller according to claim 1, it is characterised in that:It is described
Feasible experiment solution, including:
A. the experiment solution is not in TABU search table;
Although b. the experiment solution is in taboo list, meet to discharge criterion.
A kind of 9. decomposition optimization of Multi-terminal Unified Power Flow Controller according to claim 1, it is characterised in that:To upper
State feasible experiment solution and carry out optimal load flow calculating, the evaluation letter using the target function value that optimal load flow calculates as TABU search
Number, including:
A. some feasible experiment solution is taken, passes through its binary coding, calculating parameter numerical value;
B. the real power control desired value the parameter value as Multi-terminal Unified Power Flow Controller;
C. using the network after Multi-terminal Unified Power Flow Controller equivalence as object is calculated, carry out traditional optimal load flow and calculate, wherein
The active injection power of equivalent PQ nodes is definite value, variable of the idle injecting power as system optimization;
If d. calculating convergence, the evaluation function value using the optimization target values that optimal load flow calculates as TABU search;If calculate not
Convergence, the evaluation function value for putting TABU search are infinity;
E. the system running state and the optimal control target value of Multi-terminal Unified Power Flow Controller tried to achieve according to optimal load flow result,
Calculate the control parameter of Multi-terminal Unified Power Flow Controller;If parameter not in reasonable interval, illustrates that this state of a control is not present, put
The evaluation function value of TABU search is infinity;
F. made comparisons with original evaluation function value, retain functional value reckling and corresponding parameter value;
G. repeat to a, finished until all experiment solutions all calculate.
A kind of 10. decomposition optimization of Multi-terminal Unified Power Flow Controller according to claim 1, it is characterised in that:Institute
The renewal TABU search table stated is the opposite direction moving recording for the movement that will be realized into taboo list.
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