CN108280539A - The drops such as the reactive-load compensation based on rural power grids typical case's taiwan area line loss calculation damage optimization method - Google Patents

The drops such as the reactive-load compensation based on rural power grids typical case's taiwan area line loss calculation damage optimization method Download PDF

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CN108280539A
CN108280539A CN201810019375.0A CN201810019375A CN108280539A CN 108280539 A CN108280539 A CN 108280539A CN 201810019375 A CN201810019375 A CN 201810019375A CN 108280539 A CN108280539 A CN 108280539A
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node
loss
reactive
power
taiwan area
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CN108280539B (en
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禹加
刘鑫蕊
程旭可
孙秋野
王超
闫利程
张化光
黄博南
陈妍宏
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Liaoning Electric Power Co Ltd
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Liaoning Electric Power Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00Administration; Management
    • G06Q10/04Forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or "cutting stock problem"
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R19/00Arrangements for measuring currents or voltages or for indicating presence or sign thereof
    • G01R19/0084Arrangements for measuring currents or voltages or for indicating presence or sign thereof measuring voltage only
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q50/00Systems or methods specially adapted for specific business sectors, e.g. utilities or tourism
    • G06Q50/06Electricity, gas or water supply

Abstract

The invention belongs to transmission & distribution electro-technical fields, and optimization method is damaged more particularly, to drops such as a kind of reactive-load compensations based on rural power grids typical case's taiwan area line loss calculation.Including:The topological structure for analyzing network is prepared for accurate line loss calculation;According to the data cleansing and excavation of the physical parameters such as the different characteristics of rural power grids typical case's taiwan area and radius of electricity supply, typicalness classification is carried out to rural power grids taiwan area;Using the improved loss for being pushed forward trend method and calculating rural power grids taiwan area;It establishes the object function of idle work optimization and adds voltage, power factor, compensation capacity, the constraints for compensating equipment;Determine the compensation position of the reactive-load compensation of different type typical case's taiwan area and the capacity that each compensation equipment should compensate;Establish the rural power grids taiwan area of more reducing loss measure combinations;Establish the reactive compensation capacity of decomposition-coordination approach.The present invention can be that accurate line loss calculation is prepared;According to physical parameters data cleansing and excavations such as the different characteristics of rural power grids typical case's taiwan area and radius of electricity supplys;So that the line loss result calculated is more accurate.

Description

The drops such as the reactive-load compensation based on rural power grids typical case's taiwan area line loss calculation damage optimization method
Technical field
The invention belongs to transmission & distribution electro-technical field, more particularly, to a kind of based on rural power grids typical case's taiwan area line loss calculation The drops such as reactive-load compensation damage optimization method.
Background technology
In recent years, China's economy develops rapidly, and power industry is also developed faster therewith, and China's machine-building is horizontal Also it achieves compared with much progress, first and second electrical equipment manufacturing technology of power grid also obtains surprising progress.By the electricity of national several years Net upgrading, power grid equipment, technical performance acquirement are greatly improved.For many years, for the Controlling line loss of Utilities Electric Co., The especially Controlling line loss of rural area distribution is always the difficult point and emphasis of Controlling line loss.The related statistics table of many access Bright, in each voltage class power grid in China, the electric quantity loss of 10KV and following distribution has accounted for the proportion of whole distract electric quantity loss About 49%, how power supply enterprise well reduces the electric energy loss of power distribution network, is the long-term mesh of management in power supply enterprise work Mark and focus.
Each power supply enterprise is using the statistics of line loss, analysis and management as the day-to-day operations sex work of enterprise.Management and control is each Class electric energy and line losses indices are the main means of line loss statistical work, carry out line loss statistics, analysis, management work, find analysis The various correlative factors that can influence line loss per unit variation, related conclusions, adaptation to local conditions, for actual conditions are obtained by line loss analyzing Relevant reducing loss measure is formulated, the management in power supply enterprise person where power distribution network is allowed really to make reality in administered operation of power networks clear Power levels are lost.With Electric network energy loss theoretical calculation and analysis for handgrip, determines the variable loss of power transmission network and power distribution network and consolidate Setting loss loss-rate calculates, analysis, grasps line loss changing rule, comparison theory wire loss value and practical line loss value, comparison ring than data with Year-on-year data compare similar circuit, to find the cause for influencing line loss variation;Generally going through line loss theoretical calculation can be clear Determine technical loss and manage line loss ratio, for formulate drop damage index measure and performance assessment criteria measure lay a solid foundation.Cause This, can effectively verify whether current Distributing network structure is reasonable, and carry for the transformation of distribution by line loss theoretical calculation and analysis For correlation theory foundation.
Applicants have found that reactive-load compensation can accomplish that idle in-situ balancing, reduction is made to convey from mains side idle Electric power;And compensation benefit convenient for installation and maintenance, at low cost it is good the advantages that.Reactive-load compensation has the same of compensating power effect When also have the function of adjust voltage.Reactive-load compensation drop damage on the basis of plus improve three-phase imbalance, replace transformer, Replacing the reducing loss measures such as circuit section product can make line loss be reduced to ideal result.
Therefore, the proposition of the drops such as a kind of reactive-load compensation based on rural power grids typical case's taiwan area line loss calculation damage optimization method, has Certain theoretical foundation and realistic meaning.
Invention content
The present invention for the above-mentioned prior art the problem of, provide and a kind of being based on rural power grids typical case's taiwan area line loss calculation The drops such as reactive-load compensation damage optimization method.The purpose is to prepare for more accurate line loss calculation, agriculture is more accurately calculated The loss of net platform region.
In order to achieve the above-mentioned object of the invention, the present invention is achieved by the following technical solutions:
The drops such as the reactive-load compensation based on rural power grids typical case's taiwan area line loss calculation damage optimization method, include the following steps:
Step 1:The topological structure for analyzing network is accurate using dividing gradient search procedure to obtain accurate physical parameter Line loss calculation is prepared;According to the different characteristics of rural power grids typical case's taiwan area and radius of electricity supply, transformer model capacity service life, bear The data cleansing and excavation of the physical parameters such as lotus distribution situation carry out typicalness classification to rural power grids taiwan area;
Step 2:Using the improved loss for being pushed forward trend method and calculating rural power grids taiwan area;
Step 3:It establishes the object function of idle work optimization and adds voltage, power factor, compensation capacity, the pact for compensating equipment Beam condition;
Step 4:It determines the compensation position of the reactive-load compensation of different type typical case's taiwan area and each compensates what equipment should compensate Capacity;
Step 5:Establish the rural power grids taiwan area of more reducing loss measure combinations;
Step 6:Establish the reactive compensation capacity of decomposition-coordination approach.
The step 1 includes:According to the network structure of distribution network system and switch operating status, to the load of power distribution network into Row classification, according to different loads and whether there is or not measuring values to carry out a point gradient search, to obtain the parameter and section of each branch of system Voltage, active power and the reactive power of point;
The active and reactive power and voltage value of main transformer, distribution transforming in first gradient search distribution feeder;
Transformer for failing to obtain real-time measurement carries out the second gradient search, and complete and precision satisfaction is wanted in order to obtain The operating parameter asked, the use state estimation technique carry out line loss calculation;
In the quantity for having searched for transformer, 3rd gradient search is carried out, is searched on user and overhead transmission line, cable run Each node forms node matrix equation.
Described in the step 2 it is improved be pushed forward trend method refer to taken as measurement to node voltage value and calculating obtained by As a result average value makes the voltage value of each node more accurate, and the line loss value of calculating is truer;
The step 2 includes:By obtaining the measured data of each end load node, each section is calculated by prospective method The voltage value and performance number of the corresponding last node of point, if as soon as upper node uses without measured value and calculate forward calculation institute The voltage value obtained takes the average value of measured value and calculated value if any measured value;If a upper node corresponds to two load bus, If this node takes two loads to be pushed forward the average value of voltage without measured value, the average value of three's value is otherwise taken, and so on;Directly To root node;The result of line loss is equal to the total losses that transformer calculates and adds the total losses calculated on circuit;
Aloss=Tloss+Lloss
A in above formulalossFor all line loss, TlossFor the loss of transformer, LlossFor the loss of transmission line of electricity;
Step 21:Known to line impedance parameter, as long as measuring active and reactive, the voltage of load bus Virtual value, so that it may accurately to find out very much loss between load bus and its superior node on circuit and superior node Voltage, and calculating line loss and node voltage all avoid plural multiplication and division;Circuit l between node 2 to 32-3It is per phase of impedance Z2-3=R2-3+jX2-3The three-phase output power for measuring node 3 simultaneously is P3+jQ3, line voltage virtual value is U3
Circuit l2-3On active power loss be:
In above formula, Δ P2-3Refer to circuit l2-3On active loss;P3It is the active power of node 3, Q3It is node 3 Reactive power;U3It is the voltage of node 3, R2-3It is circuit l2-3On resistance value;
Reactive power loss is:
In above formula, Δ Q2-3Refer to circuit l2-3On active loss;P3It is the active power of node 3, Q3It is node 3 Reactive power;U3It is the voltage of node 3, R2-3It is circuit l2-3On resistance value;
The output power of node 2 is:
S2=(P3+ΔP2-3)+j(Q3+ΔQ2-3)
In above formula, S2Refer to the output power of node 2;P3It is the active power of node 3, Q3It is the idle work(of node 3 Rate;ΔP2-3、ΔQ2-3It is circuit l respectively2-3The active power and reactive power of upper loss;
The voltage effective value U of node 22For:
In above formula, U2Refer to the RMS voltage Δ U of node 22-3、δU2-3It is circuit l2-3The vertical component of voltage landing and Horizontal component;
Step 22:Assuming that a certain taiwan area, which shares 11 nodes, it is known that resistance, reactance between each node, and And the active power, reactive power, voltage effective value of each load bus are had been obtained for by data collecting system;
Steps are as follows for the specific implementation of algorithm:
(1) node-classification is carried out first and is numbered, and power supply node, load bus are distinguished;Power supply node is 0 node, load Node is 2,3,8,9,10 nodes;
(2) by obtaining the measured data of each end load node, by prospective method calculate each node it is corresponding on The voltage value and performance number of a node, if as soon as upper node uses the voltage value calculated obtained by forward calculation without measured value, If any measured value, the average value of measured value and calculated value is taken;If a upper node corresponds to two load bus, if this node without Measured value, takes two loads to be pushed forward the average value of voltage, otherwise takes the average value of three's value, and so on;Until power supply node;
Circuit between node 8 and 6 is l8-6Each impedance between circuit is Z8-6=R8-6+jX8-6The load 8 measured saves Three output powers of point are P8+jQ8Then circuit l8-6Between active power loss:
In above formula, Δ P8-6It is circuit l8-6Active power loss, P8It is the active power of node 8, Q8Node 8 it is idle Power, U8It is the voltage effective value of node 8, R8-6It is circuit l8-6Between impedance;
Reactive power loss is:
In above formula, Δ Q8-6It is circuit l8-6Reactive power loss, P8It is the active power of node 8, Q8Node 8 it is idle Power, U8It is the voltage effective value of node 8, X8-6It is circuit l8-6Between reactance;
The output power of node 6 is:
S6=P6+jQ6=(P8+ΔP8-6)+j(Q8+ΔQ8-6)
In above formula, S6Refer to the output power of node 6;P6It is the active power of node 6, Q6It is the idle work(of node 6 Rate;ΔP8-6、ΔQ8-6It is circuit l respectively8-6The active power and reactive power of upper loss;P8、Q8It is the wattful power of node 8 respectively Rate and reactive power;
The voltage value of node 6 is:
In above formula, U8For the voltage effective value of node 8, Δ U8-6For circuit l8-6The vertical component of voltage landing, δ U8-6For line Road l8-6The horizontal component of voltage landing;
Wherein:
Circuit l can similarly be passed through9-6The voltage and output power for calculating node 6, if the voltage of node 6 can be measured Value obtains the voltage value and performance number of node 6 with output power by calculating the average value of three, if the node 6 that do not survey The voltage value of voltage value and performance number, node 6 takes the average value of calculating, performance number also to take the average value of calculating;
(3) circuit having had been calculated is marked, continue search for the circuit of non-marked until all circuits all It calculates;
(4) it calculates the loss of all common transformers, when calculating, the node load of actual measurement, voltage value is utilized to calculate transformation The copper loss and iron loss of device;So, transformer loss calculates the influence for just having fully taken into account load, voltage;
(5) total line loss:
Aloss=Tloss+Lloss
Wherein AlossFor all line loss, TlossFor the loss of transformer, LlossFor the loss of transmission line of electricity.
Object function described in the step 3:
min(P1-P2)
Wherein P1 is investment cost, and P2 is drop damage income, and object function is the minimum value of two differences;
Wherein:
In above formula, n is that node compensates equipment sum;NiFor the packet count of the compensation capacitor of the i-th complete equipment;Ci is compensation The capacity of the corresponding single group capacitor of equipment;Ma is the unit price of compensation capacity;Mb is the single group price for compensating equipment;Mc is Expense input by equipment is installed;
Wherein:
P2=(f1-f2)·c·T
In above formula, f1For the power loss before compensation, f2For the power loss after compensation, c is corresponding electricity price, T operations Time;
Specifically:To minimize the active loss of low-voltage network as target, low pressure:Distribution network var compensation is distributed Optimized model is as follows:
min f(x)
S.t h (x)=0,
In above formula:Object function f (x) is the difference of investment cost and drop damage income;H (x) is that the power of each node is flat Weigh equation, and x is the decision variable and state variable of system, and decision variable is the parallel reactive compensation capacity Q of reactive compensation point, shape State variable includes the voltage magnitude V and phase angle δ of each node;Inequality constraints l (x) include the bound of each node voltage amplitude about The bound of beam and each reactive compensation point parallel reactive compensation capacity constrains and the bound of power factor is divided with compensation equipment The bound of group number;
The difference of object function f (x) investment costs and drop damage income, expression formula are as follows:
F (x)=P1-P2
Step 32:The constraints;Equality constraint h (x) expression formulas are:
It can be obtained by Load flow calculation equation:
In above formula, PiAnd QiIt is the active power and reactive power of taiwan area injection respectively, it is negative, Q to flow into just, to flow outci For the reactive power of compensation, ViFor the voltage magnitude of node i, δijFor the phase difference of voltage between node i and node j, GijAnd Bij It is the real and imaginary parts of network node admittance matrix the i-th row j column elements respectively, n is the sum of taiwan area node;
Inequality constraints l (x) expression formulas are:
V in above formulaimin、VimaxIt is the minimum voltage and maximum voltage that node allows, Qcimin、QcimaxIt is node to allow most It is small idle with maximum reactive-load compensation compensation, ρimin、ρimaxIt is the minimum and maximum power factor that node measured place allows,It is the minimum packets number and largest packet number for compensating equipment switching.
The step 4 includes:
Step 41:The compensation rate that taiwan area all nodes in Typical Rural respectively need is calculated first, calculates taiwan area needs The progress reactive-load compensation of each node is not met reality, using Sensitivity Analysis Method and artificially by total reactive compensation capacity Factor method selects the node that the node that load power is big, important is compensated as needs;Every in population is mended using genetic algorithm It repays equipment and sets 2 genes on chromosome, indicate the packet count and every group of compensation capacity of compensation equipment respectively, calculate egress Optimal non-workcompensation capacity;
Step 42:When calculating the idle configuration optimization of different type taiwan area on the basis of step 41, three are defined first Electric characteristic index circuit distribution transforming Rate of average load α, natural power factor cos φ, radius of electricity supply L, reactive-load compensation rate β, according to 《Rural power planning and designing directive/guide》With the specific electric characteristic index system in local rural area, typical rural area electrical specifications are set As ground state value;
In above formula, β0For the optimal reactive compensation rate of Typical Rural taiwan area, WnHold for the idle configuration that the taiwan area requires supplementation with Amount, SNFor the rated capacity of taiwan area;
When calculating the reactive compensation capacity of random taiwan area by changing each electric characteristic index respectively, OPTIMAL REACTIVE POWER is recorded The situation of change of cancellation ratio indicates that the variation degree of reactive-load compensation rate, the size of sensitivity are equal to respectively with the size of sensitivity The variation of the corresponding reactive-load compensation rate of electric characteristic variation exists in the reactive capability configuration for carrying out random taiwan area, with each electrical The difference of the actual value of characteristic value electric characteristic corresponding with typical taiwan area carries out phase as decision using the size of sensitivity The weighted calculation answered;
β in above formula0For the reactive-load compensation rate of typical taiwan area, Δ miIt is right for random taiwan area and typical taiwan area electrical characteristics The difference answered, λiFor the sensitivity corresponding to electrical characteristics.
The step 5 includes:
Step 51:Determine that the reducing loss measure of rural power grids taiwan area is denoted as X firsti, wherein i=1,2 ..., 4;X1~X4It is right with this Reactive-load compensation, improvement three-phase imbalance, replacement transformer capacity, replacement circuit section is answered to accumulate these four rural power grids taiwan areas drop damage and arrange Apply type;On this basis, scheme is damaged using the possible embodiment of certain a kind of reducing loss measure as the drop in rural power grids taiwan area drop damage, AsIndicate the jth kind possible embodiment of i-th kind of reducing loss measure type;X1The corresponding drop damage scheme of reducing loss measure has transformation It stands centralized compensation, user's decentralised control, Optimal Reactive Power compensation device;X2The corresponding drop damage scheme of reducing loss measure has change client to connect Line phase sequence, three-phase imbalance pressure regulator, auto-transformer;X3The corresponding drop damage scheme of reducing loss measure has volume reduction transformation method, transformation Device way of economic operation, energy saving transformer;X4The corresponding drop damage scheme of reducing loss measure has parallel gathering lead wire in low, increases conducting wire section Area, line insulation transformation;
For reducing loss measure Xi, since the presence of analysis of Influential Factors is lost, from reducing loss measure weighing factor analysis and assessment As a result the larger reducing loss measure type of weight is selected in, and alternately reducing loss measure is implemented present situation rural power grids taiwan area, thus, To reducing loss measure XiWhether selected available following formula describes;
For selected reducing loss measure, it is further contemplated that its possible reducing loss measure implements project, it is possible to Damage project dropsFor the description of the implementation principle of rural power grids taiwan area reducing loss measure, according to artificial experience and different existing optimizations Algorithm proposes a variety of alternative implementation projects to every a kind of reducing loss measure type, and following formula is in i-th kind of reducing loss measure The whether selected description made of jth kind drop damage project;
Step 52:In order to ensure that drop damage reaches better effect drop damage alternative is formed by following steps;
Drop damage alternative is formed by drop damage projects combo, since the presence of analysis of Influential Factors is lost in rural power grids taiwan area, The major influence factors of the influence rural power grids taiwan area technological attrition in present situation rural power grids taiwan area and its corresponding can be primarily determined Reducing loss measure type, thus, can determine the situation of choosing of reducing loss measure generating the when of dropping damage alternative, it is assumed that warp Selected reducing loss measure is respectively X after crossing loss analysisa、Xb、Xc, then drop damages the composition structure of candidate item such as in this case Under:
In the case of the implementation project determination of every a kind of reducing loss measure type, a drop damage candidate item is drop damage project The combination of selected situation, while also meeting drop damage projectBetween alternative, be shown below:
In above formula:fiRefer to i-th of drop damage candidate item;G refers to the alternative between drop damage project, i.e., same kind of drop damage is arranged Implementation of the different implementation projects applied in rural power grids taiwan area is impossible simultaneous constraint;Mutex relation constraint master between project If being embodied in drop damages decision process;
The product process of rural power grids taiwan area drop damage candidate item is as follows:
(1) the loss shadow that key important function is played to rural power grids taiwan area technical loss is established by rural power grids taiwan area loss analysis The factor of sound;
(2) it is based on sensitivity analysis, establishes the reducing loss measure X in rural power grids taiwan area Optimal Decision-makingiChoose situation;
(3) to each selected reducing loss measure Xi, obtained for choosing by the research of each measure scheme weight analysis The drop damage project selected
(4) according to the initial rural power grids taiwan area drop damage candidate item f of the various combination producings of drop damage projecti
Step 53:In damage decision model drops in rural power grids taiwan area, it is present situation rural power grids taiwan area band that should fully embody reducing loss measure The comprehensive benefit of the drop damage electricity come is established by analyzing Evaluation of Investment-Benefit comprising objective function of decision-making and decision constraint The rural power grids taiwan area drop damage Optimization Decision Models of condition;
(1) object function of decision;
Reach comprehensive optimal to make rural power grids taiwan area Construction and operation cost and loss of electricity reduce acquired benefit, in the full longevity Under the support for ordering life cycle costing theory, establish the overall cost that object function includes rural power grids taiwan area in the operation time limit, drop damage at Sheet, operation expense, failure cost and cost recovery is removed, sale of electricity expense caused by loss of electricity;
(2) constraints of decision:
The constraints of rural power grids taiwan area drop damage Optimization Decision Models includes six contents:Power supply reliability constraint, Yong Huping Mutex relation constrains between equal power off time constraint, voltage deviation constraint, line transmission constraint, investment restriction and project;
1. power supply reliability constrains:Power supply reliability should be not less than preset prescribed limits;
2. average power off time of user constrains:Average power off time of user should be no more than preset prescribed limits;
3. voltage deviation constrains:The absolute value of voltage deviation should be no more than the 7% of normal voltage;
4. line transmission constrains:The actual transmissions capacity of circuit should be no more than its maximum transfer capacity, general transmission electricity Flow table is shown;
5. investing restriction:Investment restriction refers to taking the investment of the drop damage scheme of a variety of reducing loss measure combinations Should be within preset investment limitation, drop damage formula investing is primarily directed to drop damage cost at this time;
(3) Evaluation of Investment-Benefit index:
It, should first really for rural power grids wastage reducing and energy saving transformation project according to the basic step of technology and economy comparison and evaluation Vertical relevant art index, then economic indicator optimum selecting is pressed from the scheme of technical indicator qualification;The particular technique of damage scheme drops Index includes electric energy loss rate, rate of qualified voltage, power factor and service life;
According to《Rural cadastration Guidance Rule》In " economic technology assessment " regulation drop damage scheme economic indicator packet Include investment payback time, net present value (NPV), net annual value, net present value rate and the internal rate of return (IRR);
(4) decision of drop damage prioritization scheme:
The decision purpose of drop damage scheme is excellent to selecting the drop damage scheme collection of possibility to carry out comprising various reducing loss measures Choosing determines the optimal reducing loss measure combination of comprehensive benefit and drop damage embodiment.
The step 6 includes:
Step 61:If the reactive compensation capacity calculated in step 4 is c1, the reactive compensation capacity calculated in step 5 is c2, If the difference that the two calculates is less than the nargin ε of setting, it is c to take reactive compensation capacity1If the difference of the two is more than setting Nargin then establishes decomposition-coordination approach and solves reactive compensation capacity;An original object function is resolved into two to connect each other Specific item scalar functions;Two sub- object function interactions, common optimization find out final reactive compensation capacity;
Step 62:Initially set up mathematical model:
min C(x)+D(x)
s.t A(x)≥B
E(x)+F(x)≥g
R (x)+T (x)=h
X is the reactive compensation capacity size that is configured in above formula, and y is power grid actual operation parameters under existing configuration, C (x)+ D (x) is the expense for configuring reactive power source, and A (x) >=B is investment and recovery (planned allocation constrains, configuration capacity constraint), E (x)+F (x) >=g is voltage inequality constraints, and R (x)+T (x)=h constrains for trend equation;
As long as reactive compensation capacity investment variable x is decided, so that it may be determined by the optimizing of system operation mode practical Operating parameter y;That is as former problem can be regarded to the unification of two optimization process, one is to determine idle configuration capacity position With the investment optimization process of size, primal problem is referred to as invested;Two are to determine and so that operating cost is reached most under existing configuration Small running optimizatin process, referred to as runs subproblem;
As given any determination capacity x*, the optimal value D of corresponding operation subproblem is represented by W (x), then corresponding to invest Primal problem and operation subproblem decomposable asymmetric choice net are as follows:
(1) primal problem is invested:
Min C(x)+W(x)
s.t A(x)≥B
In above formula, C (x)+W (x) is the total cost of investment, and wherein W (x) is a knob for contacting primal problem with subproblem Band, A (x) >=B are the conditions of investment and recovery;
(2) subproblem is run:
W (x)=minD (y)
s.t F(x)≥g-E(x*)
T (y)=h-R (x*)
In above formula, minD (y) is optimal the spent expense of operation, F (x) >=g-E (x*) it is voltage inequality constraints, T (y)=h-R (x*) it is that trend equation constrains;
Obviously, the primal problem of investment and the subproblem of operation are closely connected with W (x) here, by running son The solution of problem proposes the amendment to W (x), forms linear restriction new after correcting, and returns again to investment primal problem, alternately solves Primal problem and subproblem simultaneously obtain the optimal solution of reactive-load compensation amount.
Compared with prior art, advantages of the present invention and advantageous effect are:
The present invention is using dividing gradient search procedure to obtain accurate physical parameter in the topological structure of fully analysis network Accurate line loss calculation is prepared;It is used according to the different characteristics of rural power grids typical case's taiwan area and radius of electricity supply, transformer model capacity The data cleansing and excavation of the physical parameters such as the time limit, power load distributing situation.Rural power grids taiwan area is calculated using the improved trend method that is pushed forward Loss so that the line loss result of calculating is more accurate, on the basis of line loss carry out reactive-load compensation add voltage, power because Number, compensation capacity, the constraints for compensating equipment, reactive-load compensation can accomplish idle in-situ balancing, carry out reducing loss measure It can accomplish to adjust voltage simultaneously, make every effort to the best compensation effect taken.It is idle in progress in order to obtain preferably drop damage effect Increasing on the basis of compensation improves three-phase imbalance, replaces transformer capacity, replaces the reducing loss measures such as circuit section product.
In the following with reference to the drawings and specific embodiments, further description and explanation are subject to the present invention, but are not implemented by this Example is limited.
Description of the drawings
Fig. 1 is the voltage and power diagram of the corresponding circuit of the method for the present invention;
Fig. 2 is the corresponding taiwan area structure chart of the method for the present invention;
Fig. 3 is the composition structure chart of the corresponding drop damage scheme of the method for the present invention;
Fig. 4 is the reducing loss measure optimization block diagram of the rural power grids taiwan area of the corresponding returns of investment rate of the method for the present invention.
Specific implementation mode
To make the object, technical solutions and advantages of the present invention clearer, below in conjunction with attached in the embodiment of the present invention Figure, clear, complete description is carried out to technical scheme of the present invention.Obviously, described embodiment is that a part of the invention is real Example is applied, instead of all the embodiments.Based on the embodiments of the present invention, those of ordinary skill in the art are not making creation Property labour under the premise of the every other embodiment that is obtained, shall fall within the protection scope of the present invention.
A kind of drops such as reactive-load compensation based on rural power grids typical case's taiwan area line loss calculation of the invention damage optimization method, including walk as follows Suddenly:
Step 1:The topological structure for analyzing network is accurate using dividing gradient search procedure to obtain accurate physical parameter Line loss calculation is prepared;According to the different characteristics of rural power grids typical case's taiwan area and radius of electricity supply, transformer model capacity service life, bear The data cleansing and excavation of the physical parameters such as lotus distribution situation carry out typicalness classification to rural power grids taiwan area.
According to the network structure of distribution network system and switch operating status, classify to the load of power distribution network, according to not With load and whether there is or not measuring values to carry out a point gradient search, to obtain the parameter of each branch of system and the voltage of node, active Power and reactive power.
The active and reactive power and voltage value of main transformer, distribution transforming in first gradient search distribution feeder.
Transformer for failing to obtain real-time measurement carries out the second gradient search, and complete and precision satisfaction is wanted in order to obtain The operating parameter asked, the use state estimation technique carry out line loss calculation.
In the quantity for having searched for transformer, 3rd gradient search is carried out, is searched on user and overhead transmission line, cable run Each node forms node matrix equation.
Step 2:Using the improved loss for being pushed forward trend method and calculating rural power grids taiwan area;
The improved trend method that is pushed forward refers to taking being averaged for acquired results by measurement to node voltage value and calculating For value so that the voltage value of each node is more accurate, the line loss value of calculating is truer.
The step 2 includes:By obtaining the measured data of each end load node, each section is calculated by prospective method The voltage value and performance number of the corresponding last node of point, if as soon as upper node uses without measured value and calculate forward calculation institute The voltage value obtained takes the average value of measured value and calculated value if any measured value;If a upper node corresponds to two load bus, If this node takes two loads to be pushed forward the average value of voltage without measured value, the average value of three's value is otherwise taken, and so on;Directly To root node.The result of line loss is equal to the total losses that transformer calculates and adds the total losses calculated on circuit.
Aloss=Tloss+Lloss
A in above formulalossFor all line loss, TlossFor the loss of transformer, LlossFor the loss of transmission line of electricity.
Step 21:Known to line impedance parameter, as long as measuring active and reactive, the voltage of load bus Virtual value, so that it may accurately to find out very much loss between load bus and its superior node on circuit and superior node Voltage, and calculating line loss and node voltage all avoid plural multiplication and division.Circuit l between node 2 to 3 as shown in Figure 12-3 It is Z per phase of impedance2-3=R2-3+jX2-3The three-phase output power for measuring node 3 simultaneously is P3+jQ3, line voltage virtual value is U3
Circuit l2-3On active power loss be:
In above formula, Δ P2-3Refer to circuit l2-3On active loss;P3It is the active power of node 3, Q3It is node 3 Reactive power;U3It is the voltage of node 3, R2-3It is circuit l2-3On resistance value.
Reactive power loss is:
In above formula, Δ Q2-3Refer to circuit l2-3On active loss;P3It is the active power of node 3, Q3It is node 3 Reactive power;U3It is the voltage of node 3, R2-3It is circuit l2-3On resistance value.
The output power of node 2 is:
S2=(P3+ΔP2-3)+j(Q3+ΔQ2-3)
In above formula, S2Refer to the output power of node 2;P3It is the active power of node 3, Q3It is the idle work(of node 3 Rate;ΔP2-3、ΔQ2-3It is circuit l respectively2-3The active power and reactive power of upper loss.
The voltage effective value U of node 22For:
In above formula, U2Refer to the RMS voltage Δ U of node 22-3、δU2-3It is circuit l2-3The vertical component of voltage landing and Horizontal component.
Step 22:Assuming that a certain taiwan area, structure are as shown in Figure 2.The taiwan area shares 11 nodes, it is known that each node it Between resistance, reactance, and by data collecting system have been obtained for the active power of each load bus, reactive power, Voltage effective value.
Steps are as follows for the specific implementation of algorithm:
(1) node-classification is carried out first and is numbered, and power supply node, load bus are distinguished.
By taking Fig. 2 as an example, power supply node is 0 node, 2,3,8,9,10 node of load bus
(2) by obtaining the measured data of each end load node, by prospective method calculate each node it is corresponding on The voltage value and performance number of a node, if as soon as upper node uses the voltage value calculated obtained by forward calculation without measured value, If any measured value, the average value of measured value and calculated value is taken;If a upper node corresponds to two load bus, if this node without Measured value, takes two loads to be pushed forward the average value of voltage, otherwise takes the average value of three's value, and so on;Until power supply node.
Circuit between node 8 and 6 as shown in Figure 2 is l8-6Each impedance between circuit is Z8-6=R8-6+jX8-6It measures 8 node of load three output powers be P8+jQ8Then circuit l8-6Between active power loss:
In above formula, Δ P8-6It is circuit l8-6Active power loss, P8It is the active power of node 8, Q8Node 8 it is idle Power, U8It is the voltage effective value of node 8, R8-6It is circuit l8-6Between impedance.
Reactive power loss is:
In above formula, Δ Q8-6It is circuit l8-6Reactive power loss, P8It is the active power of node 8, Q8Node 8 it is idle Power, U8It is the voltage effective value of node 8, X8-6It is circuit l8-6Between reactance.
The output power of node 6 is:
S6=P6+jQ6=(P8+ΔP8-6)+j(Q8+ΔQ8-6)
In above formula, S6Refer to the output power of node 6;P6It is the active power of node 6, Q6It is the idle work(of node 6 Rate;ΔP8-6、ΔQ8-6It is circuit l respectively8-6The active power and reactive power of upper loss.P8、Q8It is the wattful power of node 8 respectively Rate and reactive power.
The voltage value of node 6 is:
In above formula, U8For the voltage effective value of node 8, Δ U8-6For circuit l8-6The vertical component of voltage landing, δ U8-6For line Road l8-6The horizontal component of voltage landing.
Wherein:
Circuit l can similarly be passed through9-6The voltage and output power for calculating node 6, if the voltage of node 6 can be measured Value obtains the voltage value and performance number of node 6 with output power by calculating the average value of three, if the node 6 that do not survey The voltage value of voltage value and performance number, node 6 takes the average value of calculating, performance number also to take the average value of calculating.
(3) circuit having had been calculated is marked, continue search for the circuit of non-marked until all circuits all It calculates.
(4) it calculates the loss of all common transformers, when calculating, the node load of actual measurement, voltage value is utilized to calculate transformation The copper loss and iron loss of device.So, transformer loss calculates the influence for just having fully taken into account load, voltage.
(5) total line loss:
Aloss=Tloss+Lloss
Wherein AlossFor all line loss, TlossFor the loss of transformer, LlossFor the loss of transmission line of electricity.
Step 3:It establishes the object function of idle work optimization and adds voltage, power factor, compensation capacity, the pact for compensating equipment Beam condition;
Step 31:The object function:
min(P1-P2)
Wherein P1 is investment cost, and P2 is drop damage income, and object function is the minimum value of two differences.
Wherein:
In above formula, n is that node compensates equipment sum;NiFor the packet count of the compensation capacitor of the i-th complete equipment;Ci is compensation The capacity of the corresponding single group capacitor of equipment;Ma is the unit price of compensation capacity;Mb is the single group price for compensating equipment;Mc is Expense input by equipment is installed.
Wherein:
P2=(f1-f2)·c·T
In above formula, f1For the power loss before compensation, f2For the power loss after compensation, c is corresponding electricity price, T operations Time.
Specifically:To minimize the active loss of low-voltage network as target, low pressure:Distribution network var compensation is distributed Optimized model is as follows:
min f(x)
S.t h (x)=0,
In above formula:Object function f (x) is the difference of investment cost and drop damage income;H (x) is that the power of each node is flat Weigh equation, and x is the decision variable and state variable of system, and decision variable is the parallel reactive compensation capacity Q of reactive compensation point, shape State variable includes the voltage magnitude V and phase angle δ of each node.Inequality constraints l (x) include the bound of each node voltage amplitude about The bound of beam and each reactive compensation point parallel reactive compensation capacity constrains and the bound of power factor is divided with compensation equipment The bound of group number.
The difference of object function f (x) investment costs and drop damage income, expression formula are as follows:
F (x)=P1-P2
Step 32:The constraints.
Equality constraint h (x) expression formulas are:
It can be obtained by Load flow calculation equation:
In above formula, PiAnd QiIt is the active power and reactive power of taiwan area injection respectively, it is negative, Q to flow into just, to flow outci For the reactive power of compensation, ViFor the voltage magnitude of node i, δijFor the phase difference of voltage between node i and node j, GijAnd Bij It is the real and imaginary parts of network node admittance matrix the i-th row j column elements respectively, n is the sum of taiwan area node.
Inequality constraints l (x) expression formulas are:
V in above formulaimin、VimaxIt is the minimum voltage and maximum voltage that node allows, Qcimin、QcimaxIt is the minimum that node is permitted It is idle to be compensated with maximum reactive-load compensation, ρ imin、ρimaxIt is the minimum and maximum power factor that node measured place allows,It is the minimum packets number and largest packet number for compensating equipment switching.
Step 4:It determines the compensation position of the reactive-load compensation of different type typical case's taiwan area and each compensates what equipment should compensate Capacity;
Step 41:The compensation rate that taiwan area all nodes in Typical Rural respectively need is calculated first, calculates taiwan area needs The progress reactive-load compensation of each node is not met reality, using Sensitivity Analysis Method and artificially by total reactive compensation capacity Factor method selects the node that the node that load power is big, important is compensated as needs.Every in population is mended using genetic algorithm It repays equipment and sets 2 genes on chromosome, indicate the packet count and every group of compensation capacity of compensation equipment respectively, calculate egress Optimal non-workcompensation capacity.
Step 42:When calculating the idle configuration optimization of different type taiwan area on the basis of step 41, three are defined first Electric characteristic index circuit distribution transforming Rate of average load α, natural power factor cos φ, radius of electricity supply L, reactive-load compensation rate β, according to 《Rural power planning and designing directive/guide》With the specific electric characteristic index system in local rural area, typical rural area electrical specifications are set As ground state value.
In above formula, β0For the optimal reactive compensation rate of Typical Rural taiwan area, WnHold for the idle configuration that the taiwan area requires supplementation with Amount, SNFor the rated capacity of taiwan area.
When calculating the reactive compensation capacity of random taiwan area by changing each electric characteristic index respectively, OPTIMAL REACTIVE POWER is recorded The situation of change of cancellation ratio indicates that the variation degree of reactive-load compensation rate, the size of sensitivity are equal to respectively with the size of sensitivity The variation of the corresponding reactive-load compensation rate of electric characteristic variation exists in the reactive capability configuration for carrying out random taiwan area, with each electrical The difference of the actual value of characteristic value electric characteristic corresponding with typical taiwan area carries out phase as decision using the size of sensitivity The weighted calculation answered.
β in above formula0For the reactive-load compensation rate of typical taiwan area, Δ miIt is right for random taiwan area and typical taiwan area electrical characteristics The difference answered, λiFor the sensitivity corresponding to electrical characteristics.
Step 5:Establish the rural power grids taiwan area of more reducing loss measure combinations.
Step 51:Determine that the reducing loss measure of rural power grids taiwan area is denoted as X firsti, wherein i=1,2 ..., 4;X1~X4It is right with this Reactive-load compensation, improvement three-phase imbalance, replacement transformer capacity, replacement circuit section is answered to accumulate these four rural power grids taiwan areas drop damage and arrange Apply type.On this basis, scheme is damaged using the possible embodiment of certain a kind of reducing loss measure as the drop in rural power grids taiwan area drop damage, AsIndicate the jth kind possible embodiment of i-th kind of reducing loss measure type.X1The corresponding drop damage scheme of reducing loss measure has change Pressure station centralized compensation, user's decentralised control, Optimal Reactive Power compensation device.X1The corresponding drop damage scheme of reducing loss measure has change client Wiring phase sequence, three-phase imbalance pressure regulator, auto-transformer.X3The corresponding drop damage scheme of reducing loss measure has volume reduction transformation method, becomes Depressor way of economic operation, energy saving transformer.X4The corresponding drop damage scheme of reducing loss measure has parallel gathering lead wire in low, increases conducting wire Sectional area, line insulation transformation.
For reducing loss measure Xi, since the presence of analysis of Influential Factors is lost, from reducing loss measure weighing factor analysis and assessment As a result the larger reducing loss measure type of weight is selected in, and alternately reducing loss measure is implemented present situation rural power grids taiwan area, thus, To reducing loss measure XiWhether selected available following formula describes.
For selected reducing loss measure, it is further contemplated that its possible reducing loss measure implements project, it is possible to Damage project dropsIt, can be existing with difference according to artificial experience for the description of the implementation principle of rural power grids taiwan area reducing loss measure Optimization algorithm proposes a variety of alternative implementation projects to every a kind of reducing loss measure type, and following formula is to i-th kind of reducing loss measure In the whether selected description made of jth kind drop damage project.
The composition structure chart of the corresponding drop damage scheme of the method for the present invention is as shown in Figure 3.
Step 52:In order to ensure that drop damage reaches better effect drop damage alternative is formed by following steps.
Drop damage alternative is formed by drop damage projects combo, since the presence of analysis of Influential Factors is lost in rural power grids taiwan area, The major influence factors of the influence rural power grids taiwan area technological attrition in present situation rural power grids taiwan area and its corresponding can be primarily determined Reducing loss measure type, thus, can determine the situation of choosing of reducing loss measure generating the when of dropping damage alternative, it is assumed that warp Selected reducing loss measure is respectively X after crossing loss analysisa、Xb、Xc, then the composition structure such as 3 of damage candidate item drops in this case Shown in figure:
In the case of the implementation project determination of every a kind of reducing loss measure type, a drop damage candidate item is drop damage project The combination of selected situation, while also meeting drop damage projectBetween alternative, be shown below:
In above formula:fiRefer to i-th of drop damage candidate item;G refers to the alternative between drop damage project, i.e., same kind of drop damage is arranged Implementation of the different implementation projects applied in rural power grids taiwan area is impossible simultaneous constraint.Mutex relation constraint master between project If being embodied in drop damages decision process.
The product process of rural power grids taiwan area drop damage candidate item is as follows:
(1) the loss shadow that key important function is played to rural power grids taiwan area technical loss is established by rural power grids taiwan area loss analysis The factor of sound;
(2) it is based on sensitivity analysis, establishes the reducing loss measure X in rural power grids taiwan area Optimal Decision-makingiChoose situation;
(3) to each selected reducing loss measure Xi, obtained for choosing by the research of each measure scheme weight analysis The drop damage project selected
(4) according to the initial rural power grids taiwan area drop damage candidate item f of the various combination producings of drop damage projecti
Step 53:In damage decision model drops in rural power grids taiwan area, it is present situation rural power grids taiwan area band that should fully embody reducing loss measure The comprehensive benefit of the drop damage electricity come is established by analyzing Evaluation of Investment-Benefit comprising objective function of decision-making and decision constraint The rural power grids taiwan area drop damage Optimization Decision Models of condition, the reducing loss measure optimization frame of rural power grids taiwan area are as shown in Figure 4.
(1) object function of decision:
Reach comprehensive optimal to make rural power grids taiwan area Construction and operation cost and loss of electricity reduce acquired benefit, in the full longevity Under the support for ordering life cycle costing theory, establish overall cost that object function includes rural power grids taiwan area in the operation time limit (drop damage at Sheet, operation expense, failure cost and remove cost recovery), sale of electricity expense caused by loss of electricity.
(2) constraints of decision:
The constraints of rural power grids taiwan area drop damage Optimization Decision Models includes six contents:Power supply reliability constraint, Yong Huping Mutex relation constrains between equal power off time constraint, voltage deviation constraint, line transmission constraint, investment restriction and project.
1. power supply reliability constrains:Power supply reliability should be not less than preset prescribed limits.
2. average power off time of user constrains:Average power off time of user should be no more than preset prescribed limits.
3. voltage deviation constrains:The absolute value of voltage deviation should be no more than the 7% of normal voltage.
4. line transmission constrains:The actual transmissions capacity of circuit should be no more than its maximum transfer capacity, general transmission electricity Flow table is shown.
5. investing restriction:Investment restriction refers to taking the investment of the drop damage scheme of a variety of reducing loss measure combinations Should be within preset investment limitation, drop damage formula investing is primarily directed to drop damage cost at this time.
(3) Evaluation of Investment-Benefit index:
It, should first really for rural power grids wastage reducing and energy saving transformation project according to the basic step of technology and economy comparison and evaluation Vertical relevant art index, then economic indicator optimum selecting is pressed from the scheme of technical indicator qualification.The particular technique of damage scheme drops Index includes electric energy loss rate, rate of qualified voltage, power factor and service life etc..
According to《Rural cadastration Guidance Rule》In " economic technology assessment " regulation drop damage scheme economic indicator packet Include investment payback time, net present value (NPV), net annual value, net present value rate and internal rate of return (IRR) etc..
(4) decision of drop damage prioritization scheme:
The decision purpose of drop damage scheme is excellent to selecting the drop damage scheme collection of possibility to carry out comprising various reducing loss measures Choosing determines the optimal reducing loss measure combination of comprehensive benefit and drop damage embodiment.
Step 6:Establish the reactive compensation capacity of decomposition-coordination approach.
Step 61:If the reactive compensation capacity calculated in step 4 is c1, the reactive compensation capacity calculated in step 5 is c2, If the difference that the two calculates is less than the nargin ε of setting, it is c to take reactive compensation capacity1If the difference of the two is more than setting Nargin then establishes decomposition-coordination approach and solves reactive compensation capacity.An original object function is resolved into two to connect each other Specific item scalar functions.Two sub- object function interactions, common optimization find out final reactive compensation capacity.
Step 62:Initially set up mathematical model:
min C(x)+D(x)
s.t A(x)≥B
E(x)+F(x)≥g
R (x)+T (x)=h
X is the reactive compensation capacity size that is configured in above formula, and y is power grid actual operation parameters under existing configuration, C (x)+ D (x) is the expense for configuring reactive power source, and A (x) >=B is investment and recovery (planned allocation constrains, configuration capacity constraint), E (x)+F (x) >=g is voltage inequality constraints, and R (x)+T (x)=h constrains for trend equation.
As long as reactive compensation capacity investment variable x is decided, so that it may be determined by the optimizing of system operation mode practical Operating parameter y.That is as former problem can be regarded to the unification of two optimization process, one is to determine idle configuration capacity position With the investment optimization process of size, primal problem is referred to as invested;Two are to determine and so that operating cost is reached most under existing configuration Small running optimizatin process, referred to as runs subproblem.
As given any determination capacity x*, the optimal value D of corresponding operation subproblem is represented by W (x), then corresponding to invest Primal problem and operation subproblem decomposable asymmetric choice net are as follows:
(1) primal problem is invested:
Min C(x)+W(x)
s.t A(x)≥B
In above formula, C (x)+W (x) is the total cost of investment, and wherein W (x) is a knob for contacting primal problem with subproblem Band, A (x) >=B are the conditions of investment and recovery.
(2) subproblem is run:
W (x)=minD (y)
s.t F(x)≥g-E(x*)
T (y)=h-R (x*)
In above formula, minD (y) is optimal the spent expense of operation, F (x) >=g-E (x*) it is voltage inequality constraints, T (y)=h-R (x*) it is that trend equation constrains.
Obviously, the primal problem of investment and the subproblem of operation are closely connected with W (x) here, by running son The solution of problem proposes the amendment to W (x), forms linear restriction new after correcting, returns again to investment primal problem.Alternately solve Primal problem and subproblem simultaneously obtain the optimal solution of reactive-load compensation amount.

Claims (7)

1. the drops such as the reactive-load compensation based on rural power grids typical case's taiwan area line loss calculation damage optimization method, it is characterized in that:Include the following steps:
Step 1:The topological structure for analyzing network is accurate line loss using dividing gradient search procedure to obtain accurate physical parameter Calculating is prepared;According to the different characteristics of rural power grids typical case's taiwan area and radius of electricity supply, transformer model capacity service life, load point The data cleansing and excavation of the physical parameters such as cloth situation carry out typicalness classification to rural power grids taiwan area;
Step 2:Using the improved loss for being pushed forward trend method and calculating rural power grids taiwan area;
Step 3:It establishes the object function of idle work optimization and adds voltage, power factor, compensation capacity, the constraint item for compensating equipment Part;
Step 4:Determine the compensation position of the reactive-load compensation of different type typical case's taiwan area and the capacity that each compensation equipment should compensate;
Step 5:Establish the rural power grids taiwan area of more reducing loss measure combinations;
Step 6:Establish the reactive compensation capacity of decomposition-coordination approach.
2. the drops such as the reactive-load compensation according to claim 1 based on rural power grids typical case's taiwan area line loss calculation damage optimization method, It is characterized in:The step 1 includes:According to the network structure of distribution network system and switch operating status, to the load of power distribution network into Row classification, according to different loads and whether there is or not measuring values to carry out a point gradient search, to obtain the parameter and section of each branch of system Voltage, active power and the reactive power of point;
The active and reactive power and voltage value of main transformer, distribution transforming in first gradient search distribution feeder;
Transformer for failing to obtain real-time measurement carries out the second gradient search, and complete and precision is met the requirements in order to obtain Operating parameter, the use state estimation technique carry out line loss calculation;
In the quantity for having searched for transformer, 3rd gradient search is carried out, is searched for each on user and overhead transmission line, cable run Node forms node matrix equation.
3. the drops such as the reactive-load compensation according to claim 1 based on rural power grids typical case's taiwan area line loss calculation damage optimization method, It is characterized in:Described in the step 2 it is improved be pushed forward trend method refer to taken as measurement to node voltage value and calculating obtained by As a result average value makes the voltage value of each node more accurate, and the line loss value of calculating is truer;
The step 2 includes:By obtaining the measured data of each end load node, each node pair is calculated by prospective method The voltage value and performance number for the last node answered, if as soon as upper node is used and calculated obtained by forward calculation without measured value Voltage value takes the average value of measured value and calculated value if any measured value;If a upper node corresponds to two load bus, if This node takes two loads to be pushed forward the average value of voltage without measured value, otherwise takes the average value of three's value, and so on;Until root Node;The result of line loss is equal to the total losses that transformer calculates and adds the total losses calculated on circuit;
Aloss=Tloss+Lloss
A in above formulalossFor all line loss, TlossFor the loss of transformer, LlossFor the loss of transmission line of electricity;
Step 21:Known to line impedance parameter, as long as it is effective to measure the active and reactive of load bus, voltage Value, so that it may accurately to find out very much the voltage of loss and superior node between load bus and its superior node on circuit, And calculating line loss and node voltage all avoid plural multiplication and division;Circuit l between node 2 to 32-3It is Z per phase of impedance2-3= R2-3+jX2-3The three-phase output power for measuring node 3 simultaneously is P3+jQ3, line voltage virtual value is U3
Circuit l2-3On active power loss be:
In above formula, Δ P2-3Refer to circuit l2-3On active loss;P3It is the active power of node 3, Q3It is the idle of node 3 Power;U3It is the voltage of node 3, R2-3It is circuit l2-3On resistance value;
Reactive power loss is:
In above formula, Δ Q2-3Refer to circuit l2-3On active loss;P3It is the active power of node 3, Q3It is the idle of node 3 Power;U3It is the voltage of node 3, R2-3It is circuit l2-3On resistance value;
The output power of node 2 is:
S2=(P3+ΔP2-3)+j(Q3+ΔQ2-3)
In above formula, S2Refer to the output power of node 2;P3It is the active power of node 3, Q3It is the reactive power of node 3;Δ P2-3、ΔQ2-3It is circuit l respectively2-3The active power and reactive power of upper loss;
The voltage effective value U of node 22For:
In above formula, U2Refer to the RMS voltage Δ U of node 22-3、δU2-3It is circuit l2-3The vertical component of voltage landing and horizontal point Amount;
Step 22:Assuming that a certain taiwan area, which shares 11 nodes, it is known that resistance, reactance between each node, and lead to Cross active power, reactive power, voltage effective value that data collecting system has been obtained for each load bus;
Steps are as follows for the specific implementation of algorithm:
(1) node-classification is carried out first and is numbered, and power supply node, load bus are distinguished;Power supply node is 0 node, load bus For 2,3,8,9,10 nodes;
(2) by obtaining the measured data of each end load node, the corresponding last section of each node is calculated by prospective method The voltage value and performance number of point, if as soon as upper node uses the voltage value calculated obtained by forward calculation without measured value, if any Measured value takes the average value of measured value and calculated value;If a upper node corresponds to two load bus, if this node is without actual measurement Value, takes two loads to be pushed forward the average value of voltage, otherwise takes the average value of three's value, and so on;Until power supply node;
Circuit between node 8 and 6 is l8-6Each impedance between circuit is Z8-6=R8-6+jX8-68 node of load measured Three output powers are P8+jQ8Then circuit l8-6Between active power loss:
In above formula, Δ P8-6It is circuit l8-6Active power loss, P8It is the active power of node 8, Q8The reactive power of node 8, U8It is the voltage effective value of node 8, R8-6It is circuit l8-6Between impedance;
Reactive power loss is:
In above formula, Δ Q8-6It is circuit l8-6Reactive power loss, P8It is the active power of node 8, Q8The reactive power of node 8, U8It is the voltage effective value of node 8, X8-6It is circuit l8-6Between reactance;
The output power of node 6 is:
S6=P6+jQ6=(P8+ΔP8-6)+j(Q8+ΔQ8-6)
In above formula, S6Refer to the output power of node 6;P6It is the active power of node 6, Q6It is the reactive power of node 6;Δ P8-6、ΔQ8-6It is circuit l respectively8-6The active power and reactive power of upper loss;P8、Q8Be respectively node 8 active power and Reactive power;
The voltage value of node 6 is:
In above formula, U8For the voltage effective value of node 8, Δ U8-6For circuit l8-6The vertical component of voltage landing, δ U8-6For circuit l8-6 The horizontal component of voltage landing;
Wherein:
Circuit l can similarly be passed through9-6Calculate the voltage and output power of node 6, if can measure the voltage value of node 6 with Output power obtains the voltage value and performance number of node 6 by calculating the average value of three, if the voltage for the node 6 that do not survey Value and performance number, the voltage value of node 6 take the average value of calculating, performance number also to take the average value of calculating;
(3) circuit having had been calculated is marked, continues search for the circuit of non-marked until all circuits all calculate Out;
(4) it calculates the loss of all common transformers, when calculating, utilizes the node load of actual measurement, voltage value calculating transformer Copper loss and iron loss;So, transformer loss calculates the influence for just having fully taken into account load, voltage;
(5) total line loss:
Aloss=Tloss+Lloss
Wherein AlossFor all line loss, TlossFor the loss of transformer, LlossFor the loss of transmission line of electricity.
4. the drops such as the reactive-load compensation according to claim 1 based on rural power grids typical case's taiwan area line loss calculation damage optimization method, It is characterized in:Object function described in the step 3:
min(P1-P2)
Wherein P1 is investment cost, and P2 is drop damage income, and object function is the minimum value of two differences;
Wherein:
In above formula, n is that node compensates equipment sum;NiFor the packet count of the compensation capacitor of the i-th complete equipment;Ci is compensation equipment The capacity of corresponding single group capacitor;Ma is the unit price of compensation capacity;Mb is the single group price for compensating equipment;Mc is installation Expense input by equipment;
Wherein:
P2=(f1-f2)·c·T
In above formula, f1For the power loss before compensation, f2For the power loss after compensation, c is corresponding electricity price, T operations when Between;
Specifically:To minimize the active loss of low-voltage network as target, low pressure:Distribution network var compensation is distributed optimization Model is as follows:
min f(x)
S.t h (x)=0,
In above formula:Object function f (x) is the difference of investment cost and drop damage income;H (x) is the power-balance side of each node Journey, x are the decision variable and state variable of system, and decision variable is the parallel reactive compensation capacity Q of reactive compensation point, and state becomes Amount includes the voltage magnitude V and phase angle δ of each node;Inequality constraints l (x) include each node voltage amplitude bound constraint and The bound constraint of each reactive compensation point parallel reactive compensation capacity and the bound of power factor and compensation device packets number Bound;
The difference of object function f (x) investment costs and drop damage income, expression formula are as follows:
F (x)=P1-P2
Step 32:The constraints;Equality constraint h (x) expression formulas are:
It can be obtained by Load flow calculation equation:
In above formula, PiAnd QiIt is the active power and reactive power of taiwan area injection respectively, it is negative, Q to flow into just, to flow outciFor compensation Reactive power, ViFor the voltage magnitude of node i, δijFor the phase difference of voltage between node i and node j, GijAnd BijIt is respectively The real and imaginary parts of network node admittance matrix the i-th row j column elements, n are the sum of taiwan area node;
Inequality constraints l (x) expression formulas are:
V in above formulaimin、VimaxIt is the minimum voltage and maximum voltage that node allows, Qcimin、QcimaxIt is the minimum nothing that node allows Work(is compensated with maximum reactive-load compensation, ρimin、ρimaxIt is the minimum and maximum power factor that node measured place allows,It is the minimum packets number and largest packet number for compensating equipment switching.
5. the drops such as the reactive-load compensation according to claim 1 based on rural power grids typical case's taiwan area line loss calculation damage optimization method, It is characterized in:The step 4 includes:
Step 41:The compensation rate that taiwan area all nodes in Typical Rural respectively need is calculated first, is calculated taiwan area and is needed always The progress reactive-load compensation of each node is not met reality, utilizes Sensitivity Analysis Method and human factor by reactive compensation capacity Method selects the node that the node that load power is big, important is compensated as needs;Every compensation in population is set using genetic algorithm It is standby to set 2 genes on chromosome, the packet count and every group of compensation capacity of compensation equipment are indicated respectively, calculate egress most Good reactive compensation capacity;
Step 42:When calculating the idle configuration optimization of different type taiwan area on the basis of step 41, three are defined first electrically Characteristic index circuit distribution transforming Rate of average load α, natural power factor cos φ, radius of electricity supply L, reactive-load compensation rate β, according to《Rural area Power planning Guidance Rule》With the specific electric characteristic index system in local rural area, typical rural area electrical specifications conduct is set Ground state value;
In above formula, β0For the optimal reactive compensation rate of Typical Rural taiwan area, WnFor the idle configuration capacity that the taiwan area requires supplementation with, SNFor the rated capacity of taiwan area;
When calculating the reactive compensation capacity of random taiwan area by changing each electric characteristic index respectively, optimal reactive compensation is recorded The situation of change of rate indicates that the variation degree of reactive-load compensation rate, the size of sensitivity are electrical equal to each with the size of sensitivity The variation of reactive-load compensation rate corresponding to changing features is configured in the reactive capability for carrying out random taiwan area with each electric characteristic The difference of the actual value of value electric characteristic corresponding with typical taiwan area is carried out corresponding as decision using the size of sensitivity Weighted calculation;
β in above formula0For the reactive-load compensation rate of typical taiwan area, Δ miCorresponding to random taiwan area and typical taiwan area electrical characteristics Difference, λiFor the sensitivity corresponding to electrical characteristics.
6. the drops such as the reactive-load compensation according to claim 1 based on rural power grids typical case's taiwan area line loss calculation damage optimization method, It is characterized in:The step 5 includes:
Step 51:Determine that the reducing loss measure of rural power grids taiwan area is denoted as X firsti, wherein i=1,2 ..., 4;X1~X4It is corresponded to this Reactive-load compensation, improvement three-phase imbalance, replacement transformer capacity, replacement circuit section accumulate these four rural power grids taiwan area reducing loss measure kinds Class;On this basis, scheme is damaged using the possible embodiment of certain a kind of reducing loss measure as the drop in rural power grids taiwan area drop damage, asIndicate the jth kind possible embodiment of i-th kind of reducing loss measure type;X1The corresponding drop damage scheme of reducing loss measure has transformation station collection Middle compensation, user's decentralised control, Optimal Reactive Power compensation device;X2The corresponding drop damage scheme of reducing loss measure, which has, changes client's wiring phase Sequence, three-phase imbalance pressure regulator, auto-transformer;X3The corresponding drop damage scheme of reducing loss measure has volume reduction transformation method, transformer warp Help the method for operation, energy saving transformer;X4The corresponding drop damage scheme of reducing loss measure has parallel gathering lead wire in low, increases conductor cross-section Product, line insulation transformation;
For reducing loss measure Xi, since the presence of analysis of Influential Factors is lost, from reducing loss measure weighing factor analysis and assessment result Selecting the larger reducing loss measure type of weight, alternately reducing loss measure is implemented present situation rural power grids taiwan area, thus, drop is damaged Measure XiWhether selected available following formula describes;
For selected reducing loss measure, it is further contemplated that its possible reducing loss measure implements project, it is possible to drop damage ProjectFor the description of the implementation principle of rural power grids taiwan area reducing loss measure, according to artificial experience and different existing optimization algorithms pair It is proposed that a variety of alternative implementation projects, following formula are to the jth kind drop in i-th kind of reducing loss measure per one kind reducing loss measure type The whether selected description made of damage project;
Step 52:In order to ensure that drop damage reaches better effect drop damage alternative is formed by following steps;
Drop damage alternative is formed by drop damage projects combo, since the presence of analysis of Influential Factors is lost in rural power grids taiwan area, It can primarily determine the major influence factors of the influence rural power grids taiwan area technological attrition in present situation rural power grids taiwan area and its corresponding drop Damage measure type, thus, the situation of choosing of reducing loss measure can be determined when generating drop damage alternative, it is assumed that by damage Selected reducing loss measure is respectively X after consumption analysisa、Xb、Xc, then the composition structure of drop damage candidate item is as follows in this case:
In the case of the implementation project determination of every a kind of reducing loss measure type, a drop damage candidate item is that drop damage project is selected The combination of middle situation, while also meeting drop damage projectBetween alternative, be shown below:
In above formula:fiRefer to i-th of drop damage candidate item;G refers to the alternative between drop damage project, i.e., same kind of reducing loss measure Implementation of the different implementation projects in rural power grids taiwan area is impossible simultaneous constraint;Mutex relation, which constrains, between project is mainly It is embodied in drop damages decision process;
The product process of rural power grids taiwan area drop damage candidate item is as follows:
(1) by rural power grids taiwan area loss analysis establish on rural power grids taiwan area technical loss rise key important function loss influence because Element;
(2) it is based on sensitivity analysis, establishes the reducing loss measure X in rural power grids taiwan area Optimal Decision-makingiChoose situation;
(3) to each selected reducing loss measure Xi, alternative drop is obtained by the research of each measure scheme weight analysis Damage project
(4) according to the initial rural power grids taiwan area drop damage candidate item f of the various combination producings of drop damage projecti
Step 53:In damage decision model drops in rural power grids taiwan area, it is what present situation rural power grids taiwan area was brought that should fully embody reducing loss measure The comprehensive benefit of drop damage electricity is established by analyzing Evaluation of Investment-Benefit comprising objective function of decision-making and decision constraints Rural power grids taiwan area drop damage Optimization Decision Models;
(1) object function of decision;
Reach comprehensive optimal to make rural power grids taiwan area Construction and operation cost and loss of electricity reduce acquired benefit, in week life-cycle Under the support of current cost theory, it includes overall cost of the rural power grids taiwan area in the operation time limit, drop damage cost, fortune to establish object function Row maintenance cost, failure cost and cost recovery is removed, sale of electricity expense caused by loss of electricity;
(2) constraints of decision:
The constraints of rural power grids taiwan area drop damage Optimization Decision Models includes six contents:Power supply reliability constraint, user averagely stop Mutex relation constrains between electric time-constrain, voltage deviation constraint, line transmission constraint, investment restriction and project;
1. power supply reliability constrains:Power supply reliability should be not less than preset prescribed limits;
2. average power off time of user constrains:Average power off time of user should be no more than preset prescribed limits;
3. voltage deviation constrains:The absolute value of voltage deviation should be no more than the 7% of normal voltage;
4. line transmission constrains:The actual transmissions capacity of circuit should be no more than its maximum transfer capacity, general transmission ammeter Show;
5. investing restriction:Investment restriction refers to taking the investment of the drop damage scheme of a variety of reducing loss measures combinations should be Within preset investment limitation, drop damage formula investing is primarily directed to drop damage cost at this time;
(3) Evaluation of Investment-Benefit index:
According to the basic step of technology and economy comparison and evaluation, phase should be established first for rural power grids wastage reducing and energy saving transformation project Technical indicator is answered, then presses economic indicator optimum selecting from the scheme of technical indicator qualification;The particular technique index of damage scheme drops Including electric energy loss rate, rate of qualified voltage, power factor and service life;
According to《Rural cadastration Guidance Rule》In " economic technology assessment " regulation drop damage scheme economic indicator include throw Provide payoff period, net present value (NPV), net annual value, net present value rate and the internal rate of return (IRR);
(4) decision of drop damage prioritization scheme:
The decision purpose of drop damage scheme is to selecting the drop damage scheme collection of possibility to carry out preferably, really comprising various reducing loss measures Determine the optimal reducing loss measure combination of comprehensive benefit and drop damage embodiment.
7. the drops such as the reactive-load compensation according to claim 1 based on rural power grids typical case's taiwan area line loss calculation damage optimization method, It is characterized in:The step 6 includes:
Step 61:If the reactive compensation capacity calculated in step 4 is c1, the reactive compensation capacity calculated in step 5 is c2If The difference that the two calculates is less than the nargin ε of setting, and it is c to take reactive compensation capacity1If the difference of the two is more than the abundant of setting Degree then establishes decomposition-coordination approach and solves reactive compensation capacity;An original object function is resolved into two to connect each other Specific item scalar functions;Two sub- object function interactions, common optimization find out final reactive compensation capacity;
Step 62:Initially set up mathematical model:
min C(x)+D(x)
s.t A(x)≥B
E(x)+F(x)≥g
R (x)+T (x)=h
X is the reactive compensation capacity size configured in above formula, and y is power grid actual operation parameters under existing configuration, C (x)+D (x) To configure the expense of reactive power source, A (x) >=B is investment and recovery (planned allocation constrain, configuration capacity constraint), E (x)+F (x) >= G is voltage inequality constraints, and R (x)+T (x)=h constrains for trend equation;
As long as reactive compensation capacity investment variable x is decided, so that it may determine actual motion by the optimizing of system operation mode Parameter y;That is as former problem can regard to the unification of two optimization process, one is to determine idle configuration capacity position and big Small investment optimization process, referred to as invests primal problem;Two are to determine operating cost are made to reach minimum under existing configuration Running optimizatin process, referred to as runs subproblem;
As given any determination capacity x*, the optimal value D of corresponding operation subproblem is represented by W (x), then corresponding to invest examination in chief Topic and operation subproblem decomposable asymmetric choice net are as follows:
(1) primal problem is invested:
Min C(x)+W(x)
s.t A(x)≥B
In above formula, C (x)+W (x) is the total cost of investment, and wherein W (x) is contact primal problem with a tie for subproblem, A (x) >=B is the condition of investment and recovery;
(2) subproblem is run:
W (x)=minD (y)
s.t F(x)≥g-E(x*)
T (y)=h-R (x*)
In above formula, minD (y) is optimal the spent expense of operation, F (x) >=g-E (x*) be voltage inequality constraints, T (y)= h-R(x*) it is that trend equation constrains;
Obviously, the primal problem of investment and the subproblem of operation are closely connected with W (x) here, by running subproblem Solution propose amendment to W (x), form linear restriction new after correcting, return again to investment primal problem, alternately solve examination in chief Topic and subproblem simultaneously obtain the optimal solution of reactive-load compensation amount.
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