CN107394797A - A kind of appraisal procedure for the distributed power source access power distribution network for considering idle work optimization - Google Patents

A kind of appraisal procedure for the distributed power source access power distribution network for considering idle work optimization Download PDF

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CN107394797A
CN107394797A CN201710765291.7A CN201710765291A CN107394797A CN 107394797 A CN107394797 A CN 107394797A CN 201710765291 A CN201710765291 A CN 201710765291A CN 107394797 A CN107394797 A CN 107394797A
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mrow
msub
distribution network
power source
node
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方瑞明
谢少棠
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Huaqiao University
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Huaqiao University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/18Arrangements for adjusting, eliminating or compensating reactive power in networks
    • H02J3/1821Arrangements for adjusting, eliminating or compensating reactive power in networks using shunt compensators
    • H02J3/1835Arrangements for adjusting, eliminating or compensating reactive power in networks using shunt compensators with stepless control
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/30Reactive power compensation

Abstract

A kind of appraisal procedure for the distributed power source access power distribution network for considering idle work optimization, including initial Load flow calculation is carried out to power distribution network, obtain the data of each bar branch road of power distribution network to be assessed and each node;Obtain mode, the control range of device and the on-position of idle work optimization;Determine the object function of idle work optimization;Calculate the idle work optimization result from different nodes access distributed power source respectively using Reactive Power Optimization Algorithm for Tower;With reference to DATA ENVELOPMENT ANALYSIS METHOD, input and the output-index of scheme are confirmed;Efficiency value calculating is carried out to accessing distributed power source scheme from different nodes using super-efficient data envelopment analysis method, analysis and evaluation is carried out to distributed power source access node and access capacity, wherein, the maximum scheme of efficiency value is optimal distribution formula plant-grid connection scheme.The present invention is improved for the deficiency that conventional appraisal procedure is not analysed in depth to Reactive Power Optimazation Problem, meanwhile, cause result to have more reasonability and objectivity with reference to super DEA in scheme evaluation.

Description

A kind of appraisal procedure for the distributed power source access power distribution network for considering idle work optimization
Technical field
The present invention relates to technical field of power systems, more specifically to a kind of distributed electrical for considering idle work optimization The appraisal procedure of power distribution network is accessed in source.
Background technology
Operation that can be to power distribution network after distributed power source access power distribution network has an impact, its influence degree and distributed power source Access point position and capacity configuration have the relation of interwoveness, the on-position of distributed power source and capacity configuration are closed Reason, the quality of power supply of power distribution network can be effectively improved, reduce the active loss of system, lifting power distribution network reliability of operation and warp Ji property.Conversely, the on-position of distributed power source and capacity configuration are not reasonable, then the trend of power distribution network can be distributed, electric energy Loss, the quality of power supply etc. have a negative impact, and will produce threat to the security of whole distribution network operation and economy.Cause This, power distribution network distributed power source access problem is the important research content of power distribution network operation planning.
DEA (Data Envelopment Analysis, DEA) is a kind of to more inputs and more output decision-makings The method that unit (Decision Making Units, DMU) relative efficiency is assessed.DEA is each DMU Input weight and output weight as variable, DMU validity is assessed from the angle most beneficial for DMU, avoided The effect of subjective factor, with more objectivity.Super efficiency DEA (Super-efficency DEA) model can further discriminate between The efficiency of decision package is imitated, decision-making unit efficiencies value can further be sorted, in super-efficiency DEA, can solved Certainly traditional DEA models can not be all the problem of 1 scheme is ranked up to efficiency value.
The content of the invention
The purpose of the present invention is improved in existing method, there is provided one kind combine super-efficient data envelopment analysis method and The appraisal procedure of the power distribution network distributed power source access of System Reactive Power optimisation strategy, with more reasonability and objectivity, to distribution The selection of net distributed power source access node and appearance quantifier elimination have reference significance.
The present invention adopts the following technical scheme that:
A kind of appraisal procedure for the distributed power source access power distribution network for considering idle work optimization, comprises the following steps:
A, initial Load flow calculation is carried out to power distribution network, obtains the data of each bar branch road of power distribution network to be assessed and each node;
B, mode, the control range of device and the on-position of idle work optimization are obtained;
C, the object function of idle work optimization is determined;
D, the idle work optimization result from different nodes access distributed power source is calculated respectively using Reactive Power Optimization Algorithm for Tower;
E, with reference to DATA ENVELOPMENT ANALYSIS METHOD, input and the output-index of scheme are confirmed;
F, efficiency value meter is carried out to accessing distributed power source scheme from different nodes using super-efficient data envelopment analysis method Calculate, analysis and evaluation is carried out to distributed power source access node and access capacity, wherein, the maximum scheme of efficiency value is optimal point Cloth plant-grid connection scheme.
Preferably, it is described that initial Load flow calculation is carried out to power distribution network in step a, obtain each bar branch road of power distribution network to be assessed And the data of each node, including:Power distribution network topology controlment is built on Based on Power System Analysis Software Package, passes through electric power System all-digital real-time simulation device carries out initial Load flow calculation, collects the data of each node and each bar branch road.
Preferably, the data of each node and each bar branch road include:Node serial number, circuit number, circuit resistance, Reactance, load active power, reactive load power, node voltage, circuit active power and the circuit reactive power of circuit.
Preferably, in step b, the mode of the idle work optimization includes switched capacitor group, adjustment ULTC The idle output of gear and adjustment distributed power source;The control range of described device is capacitor reactive capability, on-load voltage regulation change Depressor gear, distributed power source are idle contribute this three variable range;The on-position is capacitor bank, on-load voltage regulation change Installation site of this three of depressor, distributed power source in power distribution network.
Preferably, in step c, the idle work optimization object function includes power distribution network active power loss f1With voltage deviation f2, Expression formula is as follows:
In above formula, UiAnd UjRespectively node i and node j voltage magnitude;GijFor the conductance of i-j branch roads;θijFor node i With the phase angle difference of node j voltage;N is the set of all node compositions of power distribution network,For the maximum permissible voltage of node i Deviant;For the desired voltage of node i.
Preferably, GA for reactive power optimization general objective function expression is:
Minf=ω1f12f2 (3)
In above formula, f is idle work optimization catalogue scalar functions, ω1、ω2For weights, and there is ω12=1.
Preferably, the constraints of variable includes active power and reactive power equilibrium constraint and each control change of each node Amount constraint;
Active power and the reactive power equilibrium constraint of each node are as follows:
Each control variables constraint is as follows:
Tmin<T<Tmax (6)
QC.min<QC<QC.max (7)
QDG.min<QDG<QDG.max (8)
Wherein, PiAnd QiThe respectively active power and reactive power of node injection;BijFor the susceptance of i-j branch roads;T is to have The position of voltage adjustment of on-load load tap changer, TminAnd TmaxRespectively ULTC minimum gear and maximum gear;QCFor The reactive capability of shunt capacitor, Qc.minAnd Qc.maxThe respectively minimum value and maximum of shunt capacitor reactive capability;QDGFor Distributed power source without work output, QDG.minAnd QDG.maxThe respectively minimum value and maximum without work output of distributed power source Value.
Preferably, in step d, during idle work optimization, by shunt capacitor group group number, ULTC gear and The capacity of distributed power source is arranged to adjustable several within the specific limits by the idle output of distributed power source as control variable Kind specification, so can preferentially be chosen to the capacity of distributed power source, be obtained under idle work optimization target function value optimal situation Distributed power source access capacity.
Preferably, distributed power source is accessed from different nodes respectively, optimized algorithm is chosen, by changing each variable Value, optimizing is carried out to target function value, solve and obtain the idle work optimization result of different node access distributed power sources.
Preferably, in step e, the input pointer of scheme includes shunt capacitor reactive capability, ULTC electricity Buckling ratio, distributed power source is idle input quantity, distributed power source capacity;The active power loss of power distribution network and voltage deviation are distinguished Seek two output-indexes measured as scheme reciprocal for being converted into direct index and obtaining.
Preferably, in step f, the mathematical modeling of super-efficient data envelopment analysis method is
In above formula, s.t. is the common knowledge of art of mathematics, represents the affined meaning, that is, to meet constraints;θ For scheme input quantity relative to the Quality degree of effective utilization of output quantity, i.e., the efficiency value asked for of each scheme in the present invention;N is side Case sum, k are the numbering of scheme to be assessed;Xj、YjInput pointer, the output-index of respectively j-th scheme;S-Refer to for input Target slack variable, S+For the surplus variable of output-index;λjFor weight coefficient;Xk、YkThe input pointer of respectively k-th scheme, Output-index.
Preferably, in step f, the efficiency value from different nodes access distributed power source scheme is calculated, is ranked up, is imitated Rate value is higher, illustrate scheme output value and input ratio it is higher, input it is higher relative to the Quality degree of effective utilization of output, i.e., The problem of in view of economy, the feasibility of scheme is higher, and objectively analysis sequence can be so carried out to scheme.
From the above-mentioned description of this invention, compared with prior art, the present invention has the advantages that:
(1) appraisal procedure of a kind of distributed power source access power distribution network for considering idle work optimization of the present invention, with nothing The angle of work(optimization is set out, distributed from different node access distributed power source DG (Distributed Generation) The capacity of power supply adjusts within the specific limits, chooses optimized algorithm and carries out idle work optimization, object function bag to whole power distribution network Active power loss and node voltage offset are included, the limitation of constraints is carried out to each variable, idle work optimization can obtain object function Value and the value of corresponding control variable (including:ULTC gear, shunt capacitor reactive capability, distribution Output that power supply is idle);
(2) combine super-efficient data envelopment analysis method, by ULTC gear, shunt capacitor reactive capability, Distributed power source is idle to contribute, input quantity of the distributed power source access capacity as super-efficient data envelopment analysis, to two mesh Offer of tender numerical value asks inverse to be converted into direct index respectively, as the output quantity of scheme, carries out super-efficient data envelopment analysis efficiency value Calculate, the scheme after being accessed to different nodes is ranked up, and is obtained optimal access node and corresponding capacity, is so not only examined The problem of considering idle work optimization, scheme benefit is also related to, it is more thorough, objective;
(3) Data Envelopment Analysis Theory is applied in the access assessment of power distribution network distributed power source by the present invention, can be with objective The DG to different capabilities from different nodes access power distribution network after quality be ranked up, to power distribution network distributed power source access Assessment has deep meaning, simultaneously, moreover it is possible to guides policymaker to carry out idle work optimization before distributed power source accesses power distribution network and asks The analysis of topic.
Brief description of the drawings
Fig. 1 is the Node power distribution system figures of IEEE 33;
Fig. 2 is a kind of flow chart of the appraisal procedure for the distributed power source access power distribution network for considering idle work optimization of the present invention;
Fig. 3 is the index system figure of scheme evaluation in the present invention;
Fig. 4 is the efficiency value comparison diagram assessed with traditional CCR-DEA and super efficiency DEA embodiment scheme.
Embodiment
Below by way of embodiment, the invention will be further described.
The invention provides a kind of appraisal procedure for the distributed power source access power distribution network for considering idle work optimization, from idle excellent The angle of change is set out, different from power distribution network to minimize active power loss and voltage deviation as the object function of idle work optimization Node access DG, idle work optimization, in optimization process, DG volume-variable, by shunt capacitor group are carried out using optimized algorithm The idle output of group number, ULTC gear and distributed power source accesses as control variable, DG from different nodes One group of prioritization scheme is can obtain, using super DEA to the DG of different capabilities from the idle work optimization after the access of different nodes Scheme carries out efficiency value calculating, and the sequence of efficiency value can reflect the quality of scheme.
The present embodiment is using the node systems of IEEE 33 as power distribution network analogue system, and the node diagrams of IEEE 33 were as shown in figure 1, should Power distribution network has 32 branch roads, and head end reference voltage is 12.66kV, power reference value 10MVA.A kind of point for considering idle work optimization The appraisal procedure of cloth plant-grid connection power distribution network is as shown in Fig. 2 comprise the following steps:
A. initial Load flow calculation is carried out to power distribution network, obtains the data of each bar branch road of power distribution network to be assessed and each node;
B. mode, the control range of device and the on-position of idle work optimization are obtained;
C. the object function of idle work optimization is determined;
D. calculate respectively from the idle excellent of different nodes access distributed power source (Distributed Generation, DG) Change result;
E. DEA (Data Envelopment Analysis, DEA) method is combined, confirms the input of scheme With output-index;
F. efficiency value calculating is carried out to different schemes using super efficiency DEA method, DG access nodes and access capacity is carried out Analysis and evaluation, wherein, the maximum scheme of efficiency value is optimal distribution formula plant-grid connection scheme.
In step a, in Based on Power System Analysis Software Package (Power System Analysis Software Package, PSASP) on build power distribution network topology controlment, pass through power system all-digital real-time simulation device (Advanced Digital Power System Simulator, ADPSS) carries out initial Load flow calculation, collects each node With the data of each bar branch road.Wherein, the data of each node and each bar branch road include but is not limited to:Node serial number, circuit number, Reactance, load active power, reactive load power, node voltage, circuit active power and the circuit of the resistance, circuit of circuit without Work(power.The data of collection are imported in MATLAB and optimize emulation.
The mode of idle work optimization is switched capacitor group, adjustment ULTC gear and adjusts DG's in step b Idle output;Output that the control range of device is capacitor reactive capability, ULTC gear, distributed power source is idle The variable range of this three;On-position is capacitor bank, ULTC, distributed power source this three in power distribution network Installation site.
ULTC is added between node 1 and 2, the voltage change ratio scope of transformer is 0.9~1.1, stepping Measure as 1.25%, upper and lower gear number is ± 8.Carry out the switching of capacitor bank in node 31, can the condenser capacity of switching be 100KVar×10.It is that 2,6,10,14,18 this 5 nodes refer to access node as DG and analyzed to choose numbering, DG's Capacity Selection scope is 0.5MW-1.5MW, and DG idle output scope is:0KVar-500KVar.
In step c, idle work optimization object function includes power distribution network active power loss f1With voltage deviation f2, expression formula is as follows:
In above formula, UiAnd UjRespectively node i and node j voltage magnitude;GijFor the conductance of i-j branch roads;θijFor node i With the phase angle difference of node j voltage;N is the set of all node compositions of system,It is inclined for the maximum permissible voltage of node i Shifting value;For the desired voltage of node i.
GA for reactive power optimization general objective function expression is in the present invention:
Minf=ω1f12f2 (3)
In above formula, f is idle work optimization catalogue scalar functions, f1For power distribution network active power loss, f2For voltage deviation, ω1、ω2 For weights, and there is ω12=1.
Active power and the reactive power equilibrium constraint of each node are as follows:
Each control variables constraint is as follows:
Tmin<T<Tmax (6)
QC.min<QC<QC.max (7)
QDG.min<QDG<QDG.max (8)
Wherein, PiAnd QiThe respectively active power and reactive power of node injection;UiAnd UjRespectively node i and node j Voltage magnitude;GijAnd BijThe respectively conductance and susceptance of i-j branch roads;θijFor node i and the phase angle difference of node j voltage;T For the position of on-load transformer tap changer, TminAnd TmaxRespectively ULTC minimum gear and maximum gear; QCFor the reactive capability of shunt capacitor, Qc.minAnd Qc.maxThe respectively minimum value and maximum of shunt capacitor reactive capability; QDGIt is DG without work output, QDG.minAnd QDG.maxThe respectively DG minimum value and maximum without work output.
In step d, during idle work optimization, by shunt capacitor group group number, ULTC gear, DG nothing Work(is contributed as control variable, and DG capacity is arranged into adjustable several specifications within the specific limits, so can be to DG appearance Amount is preferentially chosen, and obtains the DG access capacities under idle work optimization target function value optimal situation.Respectively from different nodes DG is accessed, chooses optimized algorithm, by changing the value of each variable, optimizing is carried out to target function value, solution obtains different nodes Access the idle work optimization result of distributed power source.The optimized algorithm can be bacterial clump optimized algorithm, the bacterial clump Optimized algorithm is prior art, and the present embodiment does not elaborate.
In step e, the index of scheme evaluation is as shown in Figure 3.The input pointer of scheme include shunt capacitor reactive capability, Input quantity that ULTC voltage change ratio, distributed power source are idle, distributed power source capacity;By the active power loss of power distribution network Seek two output-indexes measured as scheme reciprocal for being converted into direct index and obtaining respectively with voltage deviation.
Super efficiency DEA mathematical modeling is:
In above formula, s.t. is the common knowledge of art of mathematics, represents the affined meaning, that is, to meet constraints;θ For scheme input quantity relative to the Quality degree of effective utilization of output quantity, i.e., the efficiency value asked for of each scheme in the present invention;N is side Case sum, k are the numbering of scheme to be assessed;Xj、YjInput pointer, the output-index of respectively j-th scheme;S-Refer to for input Target slack variable, S+For the surplus variable of output-index;λjFor weight coefficient;Xk、YkThe input pointer of respectively k-th scheme, Output-index.
In step f, calculate the efficiency value of each scheme, be ranked up, efficiency value is higher, illustrate the output value of scheme with The ratio of input is higher, input it is higher relative to the Quality degree of effective utilization of output, i.e., in view of economy the problem of, scheme can Row is higher, and objectively analysis sequence can be so carried out to scheme.
The Node power distribution system data of IEEE 33 are as shown in table 1.
Table 1
In this example, scheme is emulated, can obtain DG after this 5 different node accesses of node 2,6,10,14,18 The simulation result of idle work optimization.Wherein, the power distribution network active power loss and voltage deviation after different node accesses after idle work optimization As shown in table 2.
Table 2
Protocol Numbers DG access nodes Active power loss (p.u.) Voltage deviation
DMU1 2 0.0173 0.2422
DMU2 6 0.0128 0.1734
DMU3 10 0.0125 0.1014
DMU4 14 0.0116 0.0781
DMU5 18 0.0130 0.0818
The calculating of efficiency value is carried out to different schemes with super efficiency DEA method, as a result as shown in table 3.
Table 3
Protocol Numbers DG access nodes Super efficiency DEA efficiency value
DMU1 2 0.7137
DMU2 6 0.9155
DMU3 10 0.9280
DMU4 14 1.2414
DMU5 18 1.1463
Analyzed by upper table, in 5 nodes for reference, distributed power source from node 14 access after it is idle excellent Change the scheme DEA efficiency value highests of result, be that DEA is effective, the input of scheme relative to output Quality degree of effective utilization highest, and The active power loss that idle work optimization obtains after node access is relatively low, and voltage deviation is also smaller, Comprehensive Assessment, in this 5 nodes, Node 14 is optimal access node.It is idle after being accessed according to super efficiency DEA to the result of scheme evaluation to 5 distributed power sources Optimization situation is ranked up:DMU4>DUM5>DMU3>DMU2>DMU1, the effect of scheme 4 is more preferable, and the feasibility of scheme 1 is worst.Root According to simulation result, it is 0.7MW to select DG capacity, is accessed in node 14, is the optimal case of this 5 schemes to be assessed.
Fig. 4 is that the efficiency value that 5 schemes are assessed in embodiment is contrasted with traditional CCR-DEA and super efficiency DEA Figure.As seen from the figure, when the efficiency value of scheme is less than 1 (scheme 1, scheme 2, scheme 3 in such as Fig. 4), with CCR-DEA and super effect The efficiency value that rate DEA is asked for is equal, and these schemes are non-weak effective;When scheme is at least it is weak effective when, i.e. side in Fig. 4 Case 4, scheme 5, it is all 1 with both CCR-DEA efficiency values tried to achieve, trap queuing can not be carried out to scheme 4 and scheme 5, and surpasses Efficiency DEA still has preferable discrimination, has embodied the superiority of super efficiency DEA.
Above-described embodiment is not used as limitation of the invention only to illustrate the present invention.As long as according to this hair Bright technical spirit, above-described embodiment is changed, modification etc. will all fall in scope of the presently claimed invention.

Claims (12)

1. a kind of appraisal procedure for the distributed power source access power distribution network for considering idle work optimization, it is characterised in that including following step Suddenly:
A, initial Load flow calculation is carried out to power distribution network, obtains the data of each bar branch road of power distribution network to be assessed and each node;
B, mode, the control range of device and the on-position of idle work optimization are obtained;
C, the object function of idle work optimization is determined;
D, the idle work optimization result from different nodes access distributed power source is calculated respectively using Reactive Power Optimization Algorithm for Tower;
E, with reference to DATA ENVELOPMENT ANALYSIS METHOD, input and the output-index of scheme are confirmed;
F, efficiency value calculating is carried out to accessing distributed power source scheme from different nodes using super-efficient data envelopment analysis method, it is right Distributed power source access node and access capacity carry out analysis and evaluation, wherein, the maximum scheme of efficiency value is optimal distribution formula Plant-grid connection scheme.
2. the appraisal procedure of the distributed power source access power distribution network according to claim 1 for considering idle work optimization, its feature It is, it is described that initial Load flow calculation is carried out to power distribution network in step a, obtain each bar branch road of power distribution network to be assessed and each node Data, including:Power distribution network topology controlment is built on Based on Power System Analysis Software Package, it is digital by power system Real-time simulation apparatus carries out initial Load flow calculation, collects the data of each node and each bar branch road.
3. the appraisal procedure of the distributed power source access power distribution network according to claim 2 for considering idle work optimization, its feature It is, the data of each node and each bar branch road include:Node serial number, circuit number, the resistance of circuit, the electricity of circuit Anti-, load active power, reactive load power, node voltage, circuit active power and circuit reactive power.
4. the appraisal procedure of the distributed power source access power distribution network according to claim 1 for considering idle work optimization, its feature It is, in step b, the mode of the idle work optimization includes switched capacitor group, adjustment ULTC gear and adjustment The idle output of distributed power source;The control range of described device is capacitor reactive capability, ULTC gear, divided Cloth power supply is idle contribute this three variable range;The on-position is capacitor bank, ULTC, distribution Installation site of this three of power supply in power distribution network.
5. the appraisal procedure of the distributed power source access power distribution network according to claim 1 for considering idle work optimization, its feature It is, in step c, the idle work optimization object function includes power distribution network active power loss f1With voltage deviation f2, expression formula is such as Under:
<mrow> <msub> <mi>minf</mi> <mn>1</mn> </msub> <mo>=</mo> <munder> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>&amp;Element;</mo> <mi>N</mi> </mrow> </munder> <msub> <mi>G</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>&amp;lsqb;</mo> <msubsup> <mi>U</mi> <mi>i</mi> <mn>2</mn> </msubsup> <mo>+</mo> <msubsup> <mi>U</mi> <mi>j</mi> <mn>2</mn> </msubsup> <mo>-</mo> <mn>2</mn> <msub> <mi>U</mi> <mi>i</mi> </msub> <msub> <mi>U</mi> <mi>j</mi> </msub> <msub> <mi>cos&amp;theta;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>minf</mi> <mn>2</mn> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <msub> <mi>U</mi> <mi>i</mi> </msub> <mo>-</mo> <msubsup> <mi>U</mi> <mi>i</mi> <mrow> <mi>s</mi> <mi>p</mi> <mi>e</mi> <mi>c</mi> </mrow> </msubsup> </mrow> <mrow> <msubsup> <mi>&amp;Delta;U</mi> <mi>i</mi> <mi>max</mi> </msubsup> </mrow> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>
In above formula, UiAnd UjRespectively node i and node j voltage magnitude;GijFor the conductance of i-j branch roads;θijFor node i and section The phase angle difference of point j voltage;N is the set of all node compositions of power distribution network,Offset for the maximum permissible voltage of node i Value;For the desired voltage of node i.
6. the appraisal procedure of the distributed power source access power distribution network according to claim 5 for considering idle work optimization, its feature It is, GA for reactive power optimization general objective function expression is:
Minf=ω1f12f2 (3)
In above formula, f is idle work optimization catalogue scalar functions, ω1、ω2For weights, and there is ω12=1.
7. the appraisal procedure of the distributed power source access power distribution network according to claim 5 for considering idle work optimization, its feature It is, the constraints of variable includes the active power and reactive power equilibrium constraint and each control variables constraint of each node;
Active power and the reactive power equilibrium constraint of each node are as follows:
<mrow> <msub> <mi>P</mi> <mi>i</mi> </msub> <mo>=</mo> <msub> <mi>U</mi> <mi>i</mi> </msub> <munder> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>&amp;Element;</mo> <mi>N</mi> </mrow> </munder> <msub> <mi>U</mi> <mi>j</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>G</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>cos&amp;theta;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>B</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>sin&amp;theta;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>Q</mi> <mi>i</mi> </msub> <mo>=</mo> <msub> <mi>U</mi> <mi>i</mi> </msub> <munder> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>&amp;Element;</mo> <mi>N</mi> </mrow> </munder> <msub> <mi>U</mi> <mi>j</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>G</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>sin&amp;theta;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>B</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>cos&amp;theta;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>
Each control variables constraint is as follows:
Tmin<T<Tmax (6)
QC.min<QC<QC.max (7)
QDG.min<QDG<QDG.max (8)
Wherein, PiAnd QiThe respectively active power and reactive power of node injection;BijFor the susceptance of i-j branch roads;T adjusts to have to carry The position of pressure transformer tap, TminAnd TmaxRespectively ULTC minimum gear and maximum gear;QCFor parallel connection The reactive capability of capacitor, Qc.minAnd Qc.maxThe respectively minimum value and maximum of shunt capacitor reactive capability;QDGFor distribution Formula power supply without work output, QDG.minAnd QDG.maxThe respectively minimum value and maximum without work output of distributed power source.
8. the appraisal procedure of the distributed power source access power distribution network according to claim 1 for considering idle work optimization, its feature It is, in step d, during idle work optimization, by shunt capacitor group group number, ULTC gear and distributed power source Idle output as control variable, the capacity of distributed power source is arranged to adjustable several specifications within the specific limits, this Sample can preferentially be chosen to the capacity of distributed power source, obtain the distributed electrical under idle work optimization target function value optimal situation Source access capacity.
9. the appraisal procedure of the distributed power source access power distribution network according to claim 8 for considering idle work optimization, its feature It is, accesses distributed power source from different nodes respectively, optimized algorithm is chosen, by changing the value of each variable, to target letter Numerical value carries out optimizing, solves and obtains the idle work optimization result of different node access distributed power sources.
10. the appraisal procedure of the distributed power source access power distribution network according to claim 1 for considering idle work optimization, its feature It is, in step e, the input pointer of scheme includes shunt capacitor reactive capability, ULTC voltage change ratio, distribution Input quantity that formula power supply is idle, distributed power source capacity;The active power loss of power distribution network and voltage deviation are asked into conversion reciprocal respectively Two output-indexes measured as scheme obtained for direct index.
11. the appraisal procedure of the distributed power source access power distribution network according to claim 1 for considering idle work optimization, its feature It is, in step f, the mathematical modeling of super-efficient data envelopment analysis method is
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mi>s</mi> <mo>.</mo> <mi>t</mi> <mo>.</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mi>j</mi> <mo>&amp;NotEqual;</mo> <mi>k</mi> </mrow> <mi>n</mi> </munderover> <msub> <mi>X</mi> <mi>j</mi> </msub> <msub> <mi>&amp;lambda;</mi> <mi>j</mi> </msub> <mo>+</mo> <msup> <mi>S</mi> <mo>-</mo> </msup> <mo>=</mo> <msub> <mi>&amp;theta;X</mi> <mi>k</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mi>j</mi> <mo>&amp;NotEqual;</mo> <mi>k</mi> </mrow> <mi>n</mi> </munderover> <msub> <mi>Y</mi> <mi>j</mi> </msub> <msub> <mi>&amp;lambda;</mi> <mi>j</mi> </msub> <mo>-</mo> <msup> <mi>S</mi> <mo>+</mo> </msup> <mo>=</mo> <msub> <mi>Y</mi> <mi>k</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>&amp;lambda;</mi> <mo>&amp;GreaterEqual;</mo> <mn>0</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msup> <mi>S</mi> <mo>-</mo> </msup> <mo>&amp;GreaterEqual;</mo> <mn>0</mn> <mo>,</mo> <msup> <mi>S</mi> <mo>+</mo> </msup> <mo>&amp;GreaterEqual;</mo> <mn>0</mn> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
In above formula, s.t. is the common knowledge of art of mathematics, represents the affined meaning, that is, to meet constraints;θ is side The input quantity of case is relative to the Quality degree of effective utilization of output quantity, i.e., the efficiency value that each scheme is asked in the present invention;N is that scheme is total Number, k are the numbering of scheme to be assessed;Xj、YjInput pointer, the output-index of respectively j-th scheme;S-For input pointer Slack variable, S+For the surplus variable of output-index;λjFor weight coefficient;Xk、YkThe input pointer of respectively k-th scheme, output Index.
12. the appraisal procedure of the distributed power source access power distribution network according to claim 1 for considering idle work optimization, its feature It is, in step f, calculating the efficiency value from different nodes access distributed power source scheme, being ranked up, efficiency value is higher, The output value of explanation scheme and the ratio of input are higher, input it is higher relative to the Quality degree of effective utilization of output, that is, consider warp The problem of Ji property, the feasibility of scheme is higher, and objectively analysis sequence can be so carried out to scheme.
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