CN105977968A - Electric energy quality monitor optimization configuration method for annular multi-source power distribution network - Google Patents

Abstract

The electric energy quality monitor optimization configuration method comprises steps of 1) defining a new concept applicable to annular multi-source power grid structure topology analysis, 2) constructing a annular multi-source power grid structure representation matrix, 3) defining weighing factors, 4) defining a fuzziness degree, 5) establishing an electric energy quality monitor optimization configuration model, and 6) solving the optimization model and determining an optimal configuration scheme of the system electric energy quality monitor. The step 1 comprises positive direction definition, definition of a two-way equivalent circuit and definition of a terminal; the step 2 comprises construction of a correction adjacent matrix, construction of system structure matrix, construction of a trend direction matrix and construction of a monitoring observable matrix; the steps 3 comprises electric energy quality monitor arrangement generality criterion conclusion, classification on various terminal attributes and definition of corresponding weighting coefficients; and the step 4 comprises steps of definition of a system integral fuzziness degree, definition of partial maximum fuzziness and definition of a monitoring system fuzziness.

Description

A kind of power quality monitor Optimal Configuration Method of ring-type multiple source power distribution net

Technical field

The present invention relates to the power quality monitor Optimal Configuration Method of a kind of ring-type multiple source power distribution net, belong to electrical engineering and Quality of power supply field.

Background technology

In following intelligent distribution network, build can realize simultaneously multiple spot continuously, on-line measurement and the network of information fusion Change electric energy quality monitoring system (networked power quality monitoring system, NPQMS) and become development Trend.Yet with fund, the restriction of technology and configure power quality monitor (power quality on a large scale Monitor, PQM) data redundancy that brings and the problem such as communication task is heavy, how to the quantity of PQM in NPQMS and installation position Put and make optimal choice, i.e. realize distributing rationally of PQM significant.

At present, relevant achievement in research is distributed rationally to PQM less.A small amount of document proposes based on Graph Theory Analysis Method, joint The method that point analysis method etc. realizes PQM preferred arrangement, but generally it is only applicable to the radial distribution networks network of single supply, and only consider The ornamental of power quality index, and fail to consider power quality disturbance (power quality disturbance Source, PQDS) demand of the senior intelligent diagnostics such as location.Actually, on the one hand, for improving the security reliability of power supply, more Carry out the most important area loads and use ring connection form, connect along with the high permeability of more and more distributed power sources simultaneously Entering, power distribution network will generally become the complex topology structure of multi-source；On the other hand, in following intelligent grid, NPQMS will want more The quality of power supply high-grade intelligent diagnostic functions such as the realistic existing automatic accurate location of PQDS.Patent achievement aspect, although and the quality of power supply Relevant achievement is a lot, but the overwhelming majority concentrates on quality of power supply device, such as 2015107407598,2014105143834；Electricity Energy mass monitoring system, such as 2013100476831,2015109143522；Power Quality Disturbance is analyzed, as 2015108224005,2014107853645；Electricity quality evaluation, such as 2011102114770,2014106381100；Electric energy matter Amount disturbed depth, such as 2007100517107,2009102167982；Utility power quality control, such as 2011103534079, 2012105091794；Etc..And distribute rationally relevant little to PQM, the only invention of Application No. 201610017639X is special Profit proposes a kind of distribution network electric energy quality monitoring point based on Modified particle swarm optimization algorithm, meter and distributed power source configuration side Method, but its carried algorithm is also only applicable to the distribution network of the radial topological structure of single supply.Patent of the present invention optimizes for PQM Allocation problem is studied, and proposes one and can be applicable to ring-type multi-source topological structure distribution network systems, and takes into account PQDS location etc. The PQM Optimal Configuration Method of high-grade intelligent diagnostic function demand.

Summary of the invention

The present invention to overcome existing PQM Optimal Configuration Method can not be effectively applicable to the problem containing many power supplys power network with circle structure, Based on positive direction, two-way equivalent circuit and the definition of end points, and the structure of correction adjacency matrix, direction of tide matrix realizes system The Efficient Characterization of system structural information, the importance degree of the different weight factor quantization signifying each attribute end points of definition, set up system Monitoring point optimization allocation models by the monitoring system ambiguous degree of considerable matrix check, filters out the PQM of ring-type multi-source network Excellent allocation plan.

The present invention is for achieving the above object, it is proposed that a kind of PQM optimization that can be applicable to ring-type multiple source power distribution network is joined Putting method, as shown in Figure 1, its process comprises the steps:

1, definition is applicable to the new ideas of ring-type multi-source electric network composition topological analysis: with radial electric network composition feature not With, ring-type multi-source power system operating mode and state have transmutability, and part circuit current direction exists multiple possibility, thus affects The monitoring range of each node configuration PQM, it is desirable to may situation all account for various；

Step 101, the regulation of positive direction: for coupling PQDS direction determining method, need to set up a fixed coordinate system, if Fixed is positive direction by bus sensing line direction；

Step 102, the definition of two-way equivalent circuit: every line equivalent in addition to power supply, load lead-out wire is become two The circuit with the fixed current flow direction of parallel bidirectional；

Step 103, the definition of end points: line current is flowed into end and is set to the end points of configurable PQM to represent this circuit, I.e. every circuit can equivalently represented be two end points；

2, the structure of ring-type multi-source system structural characterization matrix: based on step 1 ring-network topology analysis, builds respectively and revises neighbour Connect matrix, system structure matrix, direction of tide matrix, monitor considerable matrix description network structure, distribute offer number rationally for PQM According to support；

Step 201, the structure of correction adjacency matrix: adjacency matrix A_orgBeing usually used in Power Network Topology Analysis, its form isi₁,i₂=1,2 ..., N_BNumber for bus nodes, N_BFor system busbar number of nodes；Matrix element Assignment principle such as formula (1) shown in；Because the monitoring that in networking electric energy quality monitoring system, load and power supply are all important is right As, need adjacency matrix is suitably revised: with bus and be equivalent to bus 0 the earth between connecting line represent load, use Bus represents power supply with the connecting line of himself；Revise adjacency matrixForm be For Add the system node numbering after the bus 0 representing the earth；ElementRepresent the structure of each end points in ring-type multi-source network Numbering, its value represents whether this end points exists, shown in assignment principle such as formula (2)；

Step 202, system structure matrix builds: willAll valid endpoints in matrix, i.e.End points, press Row order extracts, and it is the most sequentially labeled as new system end points symbol t_j, wherein j=1,2 ... T is the most sequentially T after labelling_jNumbering, T is valid endpoint total quantity；Utilize itself and bus can collectively form between each end points of description and bus fixing The system structure matrix S of position relationship_SM；S_SMIt is a T × N_BMatrix, shown in its element assignment principle such as formula (3)；

Step 203, direction of tide matrix builds: although the ring-type multi-source system method of operation and state exist multiple possibility, But its most times are in normal operating condition, PQM configuration need to preferentially ensure topological structure under system normal operating condition The whole network considerable；By comparing the sense of current and setting positive direction, can be to S_SMMatrix is modified, and obtains comprising system load flow letter The direction of tide Matrix C of breath_DM；C_DMMatrix element c_jiAssignment principle such as formula (4) shown in, wherein j is t_jNumbering, i is system Median generatrix is numbered；

Step 204, system list divides away from block: consider that in system topology, monitoring point is configured by circuit closeness Impact；It is primarily based on the topological structure reflecting direction of tide under system normal operating condition, system line is carried out equivalent separation Process, choose the circuit the shortest between adjacent bus in the topological structure scale as cell distance, the equivalence of circuit between each bus Spacing is integral multiple cell distance, and divides block with unit interval, and named list is away from block；Single unit wires way in block Amount refers to not comprise power supply and the number of, lines of load lead-out wire；

Step 205, monitors considerable matrix and builds: target grid completes monitor configuration, according under normal operating condition Trend topological structure, can build the considerable matrix M of monitoring_CM, for describing the position relationship between each PQM and each circuit, characterize each prison Survey the considerable scope of device；M_CMMatrix is the matrix of a T × M, and M is monitor quantity, its element m_jrAssignment principle such as formula (5) Shown in, PQM numbering during wherein r is system；

3, the definition of weight factor: arrange universal criterious based on PQM, in system, different end points have heterogeneity, deposit In different significance levels；The significance level of reasonable definition weight factor each end points of quantificational description, makes the character energy of each end points Optimal configuration algorithm is embodied；

Step 301, PQM preferred arrangement principle concludes: according to ring-type multi-source network construction features and to take PQDS into consideration fixed Position demand, summarizes 6 PQM and arranges universal criterious；

A1) criterion 1:(N-1) criterion, N is the circuit sum connected on same bus；

A2) criterion 2: there is on load branch higher weight；

A3) criterion 3: power outlet has the highest weight；

A4) criterion 4: preferentially only fill a PQM on same circuit；

A5) criterion 5: the end points being connected with this bus in addition to load lead-out wire is less than or equal to two, and this type of end points weight is relatively Low；Correspondingly, the end points weight belonging to same circuit with such end points is higher；

A6) criterion 6: preferentially meet the whole network under normal operating condition considerable；

Step 302, valid endpoint carries out computing numbering and attributive classification: for improving efficiency of algorithm, filters out all Valid endpoint carries out computing numbering and attributive classification；The attribute of end points is divided into power supply end points, load end points, opposite end point and common End points；Opposite end point refers to the end points removing the outer end points quantity being connected with bus of load less than or equal to 2, and load end points includes load Drawing end points and belong to the end points of same circuit with opposite end point, popular endpoints does not the most belong to the end points of remaining 3 type；Fortune Calculate numbering i.e. end points by considering bus numbering and S_SMIn matrix, valid endpoint sequence is numbered；If certain end point comprises two simultaneously Attribute, then carry out homogenization process to its property value；

Step 303, defines weight factor: the explanation of universal criterious based on step 301, in system, different end points have There is heterogeneity, there is different significance levels；The significance level of reasonable definition weight factor each end points of quantificational description, makes each Properties of end vertex can be embodied in optimal configuration algorithm；In conjunction with endpoint attribute and numbering, define α_ij, β_ij, γ_ijThree weights Coefficient quantization characterizes PQM and configures universal criterious: β_ijCharacterize criterion 1；α_ijCharacterize criterion 2,3,5；γ_ijCharacterize criterion 4,6；α_ij, γ_ij, β_ijMathematic(al) representation respectively as shown in formula (6)～(12)；

${\mathrm{\α}}_{ij}=\frac{T_{ij}}{C_i}---\left(6\right)$

Wherein,

$A_{ij}=\frac{\underset{i=1}{\overset{N_B}{\Σ}}{N}_i}{N_B}---\left(9\right)$

$C_i={\mathrm{\ω}}_{t_1}\·N_1^i+{\mathrm{\ω}}_{t_2}\·N_2^i+{\mathrm{\ω}}_{t_3}\·N_3^i+{\mathrm{\ω}}_{t_4}\·N_4^i---\left(10\right)$

$D_k=\frac{N_D^k}{\underset{k=1}{\overset{L}{\Σ}}{N}_D^k}---\left(11\right)$

In formula: i represents that bus is numbered；J represents valid endpoint sequence number；a_ijNumber for end points computing, represent and connect on i bus J sequence number valid endpoint；T_ijRepresent the numbered a of computing_ijThe property value corresponding when being heterogeneity of end points, such as formula (12) institute Show；It is respectively the property value that power supply end points, load end points, popular endpoints are corresponding with opposite end point, and its Relation is WithRepresent bus i power source end points, load side respectively Point, popular endpoints and opposite end point quantity；C_iRepresent adding up of the upper all heterogeneity end points quantity of bus i and property value product With, as shown in formula (10)；Represent single unit line quantity in block k；K represents single away from block number；L represents Dan Ju district Number of blocks；D_kRepresent single unit line quantity and ratio of all number of, lines of system in block k, as shown in formula (11)；N_Bij Represent end points a_ijThe bus quantity that lower region comprises；N_iRepresent bus i upper extreme point total quantity；A_ijExpression system all end points quantity With the ratio of system busbar quantity, as shown in formula (9)；B_ijRepresent end points a_ijThe end points quantity that lower region comprises；

4, fuzziness index definition: the monitor quantity arranged in system is inadequate, will cause the part end points can not be by effectively Monitoring, will appear from topology fuzzy during end points identification；The different fuzziness exponential form of definition carries out system end points fuzziness and describes；

Step 401, it is stipulated that the category that PQM monitoring is fuzzy；

B1) regulation 1: the end points being provided with monitor does not obscures；

B2) regulation 2: the N being connected with same bus_iIndividual end points, be provided with the end points quantity of monitor more than or etc. In N_i-1, then this N_iIndividual end points does not obscures；

B3) regulation 3: when still suffering from, after removing the end points having installed monitor, the end points that two are connected with bus, and if its The end points being connected does not obscures, then the two end points does not obscures；

Step 402, ring-type multi-source system monitoring fuzzy indicator definition: defining two kinds of fuzziness indexes, system entirety obscures Degree and the maximum fuzziness of part；System entirety fuzziness is called for short IEA, and the maximum fuzziness of part is called for short IMA；Respectively such as formula (13), (14) shown in；

$IEA=\frac{\underset{k=1}{\overset{K}{\Σ}}{N}_{ND}^k}{\underset{i=1}{\overset{N_B}{\Σ}}{N}_i}---\left(13\right)$

$IMA=\frac{max\{b_k,k\∈\[1,2,...K\]\}}{\underset{k=1}{\overset{K}{\Σ}}{b}_k}---\left(14\right)$

Wherein:Represent the line scan pickup coil side point quantity that k block can not be identified；b_kRepresent the overall fog-level of block k,M_kRepresent the monitor quantity that block k is monitored；K is system block sum；IMA is carried out [0,1] consolidation Process, obtain normalized part maximum fuzziness IMA' as shown in formula (15)；

${\mathrm{IMA}}^{\′}=\frac{\underset{k=1}{\overset{K}{\Σ}}{N}_{ND}^k\×IMA-1}{\underset{k=1}{\overset{K}{\Σ}}{N}_{ND}^k-1}---\left(15\right)$

The consolidation the most of the span of IEA and IMA' is interval to [0,1]；IEA explanation is when electrical network arbitrfary point occurs electric energy matter During amount disturbance, monitoring system judges the ability of disturbing source position；IMA' illustrates the monitoring system equalization to each area monitoring ability Degree；According to the two index, configuration N can be calculated_MThe system ambiguous degree of monitoring of individual monitoring point, monitors system ambiguous degree and is called for short IA, as shown in formula (16)；

$IA=(\underset{i=1}{\overset{N_B}{\Σ}}{N}_i-N_M)\sqrt{IEA(IEA+{\mathrm{IMA}}^{\′})}---\left(16\right)$

Step 403, uses and monitors considerable matrix checking fuzziness: each fuzziness index of monitoring system can pass through monitoring can Seeing matrix to obtain and verify, its main flow is: 1) constructing system monitors considerable matrix M_CM；2) to M_CMMatrix is carried out point Regional processing；3) from each region, each PQM is got rid of according to fuzzy regulation 1,2,3；4) b of each block is calculated_k；5) IEA is calculated, IMA', IA；

Step 5, the foundation of PQM Optimal Allocation Model: based on network characteristic analysis, and eigenmatrix, weight coefficient and The definition of fuzziness index, sets up the Optimized model of PQM the optimum layout, object function and constraints respectively such as formula (17), (18) shown in；

$\min F\left(x\right)=\underset{x_{ij}}{min}\[\underset{i=1}{\overset{N_B}{\Σ}}\underset{j=1}{\overset{N_i}{\Σ}}{\mathrm{\α}}_{ij}{\mathrm{\β}}_{ij}{\mathrm{\γ}}_{ij}{x}_{ij}\]---\left(17\right)$

${\mathrm{NM}}_{min}\&le;\underset{i=1}{\overset{N_B}{\&Sigma;}}{N}_i-\underset{i=1}{\overset{N_B}{\&Sigma;}}\underset{j=1}{\overset{N_i}{\&Sigma;}}{x}_{ij}<{\mathrm{NM}}_{max}---\left(18\right)$

Wherein: F (x) is object function；NM_minAnd NM_maxMinimum number and maximum quantity for monitoring point；Decision variable x_ij Assignment principle such as formula (19) shown in；

6, the solving of Optimized model: the basic ideas that PQM Optimal Allocation Model solves are, first calculate weight factor, base Set up object function in it and be optimized under given monitor quantity, determining detector positions；Then, based on known prison Survey device position, build and monitor considerable matrix, and then calculate IA index based on fuzziness testing process；Through successive ignition, finally Determine optimal number and the position of monitor, make IA value minimize under specifying constraint.

Beneficial effects of the present invention is mainly manifested in: 1, for the topological structure feature of ring-type multi-source network, based on pros To, two-way equivalent circuit and the definition of end points, and the structure feasible system structure of system structure matrix, direction of tide matrix The Efficient Characterization of information；2, summarize be applicable to ring-type multi-source network PQM configure universal criterious, and reasonable definition weight because of The importance degree of sub-quantization signifying all kinds of attribute end points；3, being minimised as target with the total weight of system, to set up system monitoring point excellent Change allocation models, and by the monitoring system ambiguous degree of considerable matrix check, filter out the monitoring point allocation plan of optimum；4, carried Method can take into account the follow-up high level diagnostics demand carrying out PQDS location of system, and can be that the stage construction scheme of NPQMS provides certainly Plan foundation.

Accompanying drawing explanation

Fig. 1 is the general frame of the inventive method.

Fig. 2 is the definition figure of positive direction, two-way equivalent circuit and end points.

Fig. 3 is computing numbering and the attributive classification figure of equivalent network.

Fig. 4 is IEEE 14 node system topology diagram.

Fig. 5 is IEEE 14 node system trend topology diagram under normal operating condition.

Detailed description of the invention

Below in conjunction with embodiment and accompanying drawing, the present invention is described in further detail, but embodiments of the present invention do not limit In this.In embodiment, the general frame of the power quality monitor Optimal Configuration Method of a kind of meshed distribution network is as shown in Figure 1, Comprise the following steps:

1, definition is applicable to the new ideas of ring-type multi-source electric network composition topological analysis: with radial electric network composition feature not With, ring-type multi-source power system operating mode and state have transmutability, and part circuit current direction exists multiple possibility, thus affects The monitoring range of each node configuration PQM, it is desirable to may situation all account for various；

Step 101, the regulation of positive direction: for coupling PQDS direction determining method, need to set up a fixed coordinate system, Set and pointed to line direction as positive direction by bus；

Step 102, the definition of two-way equivalent circuit: every line equivalent in addition to power supply, load lead-out wire is become two The circuit with the fixed current flow direction of parallel bidirectional；

Step 103, the definition of end points: line current is flowed into end and is set to the end points of configurable PQM to represent this circuit, I.e. every circuit can equivalently represented be two end points；

The topological structure of one typical 6 bus nodes dual power supply power network with circle structure, and positive direction, two-way equivalent circuit and The definition of end points is as shown in Figure 2；

2, the structure of ring-type multi-source system structural characterization matrix: based on step 1 ring-network topology analysis, builds respectively and revises neighbour Connect matrix, system structure matrix, direction of tide matrix, monitor considerable matrix description network structure, distribute offer number rationally for PQM According to support；

Step 201, the structure of correction adjacency matrix: adjacency matrix A_orgBeing usually used in Power Network Topology Analysis, its form isi₁,i₂=1,2 ..., N_BNumber for bus nodes, N_BFor system busbar number of nodes；Matrix element Assignment principle such as formula (1) shown in；Because the monitoring that in networking electric energy quality monitoring system, load and power supply are all important is right As, need adjacency matrix is suitably revised: with bus and be equivalent to bus 0 the earth between connecting line represent load, use Bus represents power supply with the connecting line of himself；Revise adjacency matrixForm be For increasing Add the system node numbering after the bus 0 representing the earth；ElementRepresent that the structure of each end points in ring-type multi-source network is compiled Number, its value represents whether this end points exists, shown in assignment principle such as formula (2)；The adjacent square of 6 node example systems in step 1 Battle array A_orgWith correction adjacency matrixAs shown in formula (20)；

Step 202, system structure matrix builds: willAll valid endpoints in matrix, i.e.End points, press Row order extracts, and it is the most sequentially labeled as new system end points symbol t_j, wherein j=1,2 ... T is the most sequentially T after labelling_jNumbering, T is valid endpoint total quantity；Utilize itself and bus can collectively form between each end points of description and bus fixing The system structure matrix S of position relationship_SM；S_SMIt is a T × N_BMatrix, shown in its element assignment principle such as formula (3)；Step 1 In the system structure matrix S of 6 node example systems_SMAs shown in formula (21)；

Step 203, direction of tide matrix builds: although the ring-type multi-source system method of operation and state exist multiple possibility, But its most times are in normal operating condition, PQM configuration need to preferentially ensure topological structure under system normal operating condition The whole network considerable；By comparing the sense of current and setting positive direction, can be to S_SMMatrix is modified, and obtains comprising system load flow letter The direction of tide Matrix C of breath_DM；C_DMMatrix element c_jiAssignment principle such as formula (4) shown in, wherein j is t_jNumbering, i is system Median generatrix is numbered；The direction of tide Matrix C of 6 node example systems in step 1_DMAs shown in formula (22)；

Step 204, system list divides away from block: consider that in system topology, monitoring point is configured by circuit closeness Impact；It is primarily based on the topological structure reflecting direction of tide under system normal operating condition, system line is carried out equivalent separation Process, choose the circuit the shortest between adjacent bus in the topological structure scale as cell distance, the equivalence of circuit between each bus Spacing is integral multiple cell distance, and divides block with unit interval, and named list is away from block；Single unit wires way in block Amount refers to not comprise power supply and the number of, lines of load lead-out wire；

Step 205, monitors considerable matrix and builds: target grid completes monitor configuration, according under normal operating condition Trend topological structure, can build the considerable matrix M of monitoring_CM, for describing the position relationship between each PQM and each circuit, characterize each prison Survey the considerable scope of device；M_CMMatrix is the matrix of a T × M, and M is monitor quantity, its element m_jrAssignment principle such as formula (5) Shown in, PQM numbering during wherein r is system；

3, the definition of weight factor: arrange universal criterious based on PQM, in system, different end points have heterogeneity, deposit In different significance levels；The significance level of reasonable definition weight factor each end points of quantificational description, makes the character energy of each end points Optimal configuration algorithm is embodied；

Step 301, PQM preferred arrangement principle concludes: according to ring-type multi-source network construction features and to take PQDS into consideration fixed Position demand, summarizes 6 PQM and arranges universal criterious；

A1) criterion 1:(N-1) criterion, N is the circuit sum connected on same bus；

A2) criterion 2: there is on load branch higher weight；

A3) criterion 3: power outlet has the highest weight；

A4) criterion 4: preferentially only fill a PQM on same circuit；

A5) criterion 5: the end points being connected with this bus in addition to load lead-out wire is less than or equal to two, and this type of end points weight is relatively Low；Correspondingly, the end points weight belonging to same circuit with such end points is higher；

A6) criterion 6: preferentially meet the whole network under normal operating condition considerable；

Step 302, valid endpoint carries out computing numbering and attributive classification: for improving efficiency of algorithm, filters out all Valid endpoint carries out computing numbering and attributive classification；The attribute of end points is divided into power supply end points, load end points, opposite end point and common End points；Opposite end point refers to the end points removing the outer end points quantity being connected with bus of load less than or equal to 2, and load end points includes load Drawing end points and belong to the end points of same circuit with opposite end point, popular endpoints does not the most belong to the end points of remaining 3 type；Fortune Calculate numbering i.e. end points by considering bus numbering and S_SMIn matrix, valid endpoint sequence is numbered；If certain end point comprises two simultaneously Attribute, then carry out homogenization process to its property value；In step 1, the equivalent network computing of 6 node example systems is numbered and belongs to Property classification as shown in Figure 3；

Step 303, defines weight factor: the explanation of universal criterious based on step 301, in system, different end points have , there is different significance levels in heterogeneity；The significance level of reasonable definition weight factor each end points of quantificational description, makes each end Point character can be embodied in optimal configuration algorithm；In conjunction with endpoint attribute and numbering, define α_ij, β_ij, γ_ijThree weight systems Quantification characterizes PQM and configures universal criterious: β_ijCharacterize criterion 1；α_ijCharacterize criterion 2,3,5；γ_ijCharacterize criterion 4,6；α_ij, γ_ij, β_ijMathematic(al) representation respectively as shown in formula (6)～(12)；

The topological structure of one IEEE 14 ring-type multi-source system of node is as shown in Figure 4；Through simulation study, it is properly functioning System load flow topological structure under state is as shown in Figure 5；Based on step 1, the system structure information of 2 describes and the weight of step 3 Because of sub-definite, each end points total weighted value δ_ij=α_ij·β_ij·γ_ijResult of calculation as shown in table 1；

The each end points of table 1 total weighted value δ_ijResult of calculation

4, fuzziness index definition: the monitor quantity arranged in system is inadequate, will cause the part end points can not be by effectively Monitoring, will appear from topology fuzzy during end points identification；The different fuzziness exponential form of definition carries out system end points fuzziness and describes；

Step 401, it is stipulated that the category that PQM monitoring is fuzzy；

B1) regulation 1: the end points being provided with monitor does not obscures；

B2) regulation 2: the N being connected with same bus_iIndividual end points, be provided with the end points quantity of monitor more than or etc. In N_i-1, then this N_iIndividual end points does not obscures；

B3) regulation 3: when still suffering from, after removing the end points having installed monitor, the end points that two are connected with bus, and if its The end points being connected does not obscures, then the two end points does not obscures；

Step 402, ring-type multi-source system monitoring fuzzy indicator definition: defining two kinds of fuzziness indexes, system entirety obscures Degree and the maximum fuzziness of part；System entirety fuzziness is called for short IEA, and the maximum fuzziness of part is called for short IMA；Respectively such as formula (13), (14) shown in；IMA carries out [0,1] consolidation process, obtain shown in IMA' such as formula (15)；

The consolidation the most of the span of IEA and IMA' is interval to [0,1]；IEA explanation is when electrical network arbitrfary point occurs electric energy matter During amount disturbance, monitoring system judges the ability of disturbing source position；IMA' illustrates the monitoring system equalization to each area monitoring ability Degree；According to the two index, configuration N can be calculated_MThe system ambiguous degree of monitoring of individual monitoring point, monitors system ambiguous degree and is called for short IA, as shown in formula (16)；

Step 403, uses and monitors considerable matrix checking fuzziness: each fuzziness index of monitoring system can pass through monitoring can Seeing matrix to obtain and verify, its main flow is: 1) constructing system monitors considerable matrix M_CM；2) to M_CMMatrix is carried out point Regional processing；3) from each region, each PQM is got rid of according to fuzzy regulation 1,2,3；4) b of each block is calculated_k；5) IEA is calculated, IMA', IA；

5, the foundation of PQM Optimal Allocation Model: based on network characteristic analysis, and eigenmatrix, weight coefficient and fuzzy The definition of degree index, sets up the Optimized model of PQM the optimum layout, object function and constraints respectively such as formula (17), (18) institute Show；Decision variable x_ijAssignment principle such as formula (19) shown in；

6, the solving of Optimized model: the basic ideas that PQM Optimal Allocation Model solves are, first calculate weight factor, base Set up object function in it and be optimized under given monitor quantity, determining detector positions；Then, based on known prison Survey device position, build and monitor considerable matrix, and then calculate IA index based on fuzziness testing process；Through successive ignition, finally Determine optimal number and the position of monitor, make IA value minimize under specifying constraint.

System ambiguous degree index for the node system of IEEE 14 shown in Fig. 4, weight coefficient based on step 3 and step 4 Computational methods, utilize step 5 to set up system PQM Optimal Allocation Model, and the PQM utilizing Matlab software to carry out step 6 optimize Allocation models solves, and obtains the optimal PQM configuration result of system for { t₁₁,t₁₂,t₂₂,t₂₃,t₂₄,t₃₃,t₃₄,t₄₇,t₅₂,t₅₄, t₆₀,t₆₆,t_6.12,t₈₈,t₉₄,t_9.10,t_9.14,t_10.0,t_11.0,t_12.0,t_13.0,t_13.6}；Now system monitoring fuzzy indicator IA= 0, can realize being pin-pointed on concrete circuit PQDS；The PQM quantity that can be provided by when system is less than 22, will appear from monitoring Fuzzy；Choose different monitoring points quantity equally spacedly and be optimized configuration, the PQM the optimum layout result obtained and corresponding monitoring system System fuzziness IA is as shown in table 2.

IA during table 2PQM lazy weight and the optimum layout scheme

Sample calculation analysis shows, institute of the present invention extracting method can carry out the ring-type effective table of multiple source power distribution topology of networks Levy, and weight factor based on different attribute end points and the definition of different system fuzzy targets, build majorized function and realize mesh Mark system PQM distributes rationally；Particularly, institute's extracting method can take into account the follow-up quality of power supply high-grade intelligent carrying out PQDS location of system Diagnostic requirements.

As it has been described above, just can preferably realize the present invention, above-described embodiment is only the exemplary embodiments of the present invention, not uses Limiting the practical range of the present invention, the most all impartial changes made according to present invention and modification, be all that right of the present invention is wanted Scope required for protection is asked to be contained.

Claims (1)

1. a power quality monitor Optimal Configuration Method for ring-type multiple source power distribution net, comprises the steps:

Step 1, definition are applicable to the new ideas of ring-type multi-source electric network composition topological analysis: with radial electric network composition feature not With, ring-type multi-source power system operating mode and state have transmutability, and part circuit current direction exists multiple possibility, thus affects The monitoring range of each node configuration power quality monitor, it is desirable to may situation all account for various；Electric energy quality monitoring Device is called for short PQM；

Step 101, the regulation of positive direction: for coupling power quality disturbance direction determining method, need to set up a fixing seat Mark system, sets and is pointed to line direction as positive direction by bus；Power quality disturbance is called for short PQDS；

Step 102, the definition of two-way equivalent circuit: every line equivalent in addition to power supply, load lead-out wire is become two parallel Two-way has the circuit that fixed current flows to；

Step 103, the definition of end points: line current is flowed into end and is set to the end points of configurable PQM to represent this circuit, the most often Bar circuit can equivalently represented be two end points；

Step 2, the structure of ring-type multi-source system structural characterization matrix: based on step 1 ring-network topology analysis, build respectively and revise neighbour Connect matrix, system structure matrix, direction of tide matrix, monitor considerable matrix description network structure, distribute offer number rationally for PQM According to support；

Step 201, the structure of correction adjacency matrix: adjacency matrix A_orgBeing usually used in Power Network Topology Analysis, its form isNumber for bus nodes, N_BFor system busbar number of nodes；Matrix element's Shown in assignment principle such as formula (1)；Because load and power supply are all important monitoring objects in networking electric energy quality monitoring system, Need adjacency matrix is suitably revised: with bus and be equivalent to bus 0 the earth between connecting line represent load, use bus Power supply is represented with the connecting line of himself；Revise adjacency matrixForm be For adding Represent the system node numbering after the bus 0 of the earth；ElementRepresent the structure number of each end points in ring-type multi-source network, Its value represents whether this end points exists, shown in assignment principle such as formula (2)；

Step 202, system structure matrix builds: willAll valid endpoints in matrix, i.e.End points, by row order Extract, and it is the most sequentially labeled as new system end points symbol t_j, wherein j=1,2 ... T is the most sequentially after labelling t_jNumbering, T is valid endpoint total quantity；Utilize itself and bus can collectively form fixed position between each end points of description and bus to close The system structure matrix S of system_SM；S_SMIt is a T × N_BMatrix, shown in its element assignment principle such as formula (3)；

Step 203, direction of tide matrix builds: although the ring-type multi-source system method of operation and state exist multiple possibility, but its Most times are in normal operating condition, and PQM configuration need to preferentially ensure the complete of topological structure under system normal operating condition Net considerable；By comparing the sense of current and setting positive direction, can be to S_SMMatrix is modified, and obtains comprising system load flow information Direction of tide Matrix C_DM；C_DMMatrix element c_jiAssignment principle such as formula (4) shown in, wherein j is t_jNumbering, i is female in system Line is numbered；

Step 204, system list divides away from block: consider in system topology, the impact that monitoring point is configured by circuit closeness； It is primarily based on the topological structure reflecting direction of tide under system normal operating condition, system line is carried out equivalent separation process, Choosing the circuit the shortest between adjacent bus in the topological structure scale as cell distance, between each bus, the equivalent separation of circuit is Integral multiple cell distance, and divide block with unit interval, named list is away from block；List unit line quantity in block refers to not Comprise power supply and the number of, lines of load lead-out wire；

Step 205, monitors considerable matrix and builds: target grid completes monitor configuration, according to the trend under normal operating condition Topological structure, can build the considerable matrix M of monitoring_CM, for describing the position relationship between each PQM and each circuit, characterize each monitor Considerable scope；M_CMMatrix is the matrix of a T × M, and M is monitor quantity, its element m_jrShown in assignment principle such as formula (5), PQM numbering during wherein r is system；

Step 3, the definition of weight factor: arrange universal criterious based on PQM, in system, different end points have heterogeneity, deposit In different significance levels；The significance level of reasonable definition weight factor each end points of quantificational description, makes the character energy of each end points Optimal configuration algorithm is embodied；

Step 301, PQM preferred arrangement principle conclude: according to ring-type multi-source network construction features and take into consideration PQDS position need Ask, summarize 6 PQM and arrange universal criterious；

A1) criterion 1:(N-1) criterion, N is the circuit sum connected on same bus；

A2) criterion 2: there is on load branch higher weight；

A3) criterion 3: power outlet has the highest weight；

A4) criterion 4: preferentially only fill a PQM on same circuit；

A5) criterion 5: the end points being connected with this bus in addition to load lead-out wire is less than or equal to two, and this type of end points weight is relatively low；Phase Ying Di, the end points weight belonging to same circuit with such end points is higher；

A6) criterion 6: preferentially meet the whole network under normal operating condition considerable；

Step 302, valid endpoint carries out computing numbering and attributive classification: for improving efficiency of algorithm, to all filter out effective End points carries out computing numbering and attributive classification；The attribute of end points is divided into power supply end points, load end points, opposite end point and common end Point；Opposite end point refers to the end points removing the outer end points quantity being connected with bus of load less than or equal to 2, and load end points includes that load draws Going out end points and belong to the end points of same circuit with opposite end point, popular endpoints does not the most belong to the end points of remaining 3 type；Computing Numbering i.e. end points is by considering bus numbering and S_SMIn matrix, valid endpoint sequence is numbered；If certain end point comprises two kinds simultaneously Attribute, then carry out homogenization process to its property value；

Step 303, defines weight factor: the explanation of universal criterious based on step 301, in system, different end points have difference , there is different significance levels in character；The significance level of reasonable definition weight factor each end points of quantificational description, makes each end points Mass-energy is embodied in optimal configuration algorithm；In conjunction with endpoint attribute and numbering, define α_ij, β_ij, γ_ijThree weight coefficient amounts Change and characterize PQM configuration universal criterious: β_ijCharacterize criterion 1；α_ijCharacterize criterion 2,3,5；γ_ijCharacterize criterion 4,6；α_ij, γ_ij, β_ijMathematic(al) representation respectively as shown in formula (6)～(12)；

${\mathrm{\&alpha;}}_{ij}=\frac{T_{ij}}{C_i}---\left(6\right)$

Wherein,

$A_{ij}=\frac{\underset{i=1}{\overset{N_B}{\&Sigma;}}{N}_i}{N_B}---\left(9\right)$

$C_i={\mathrm{\&omega;}}_{t_1}\&CenterDot;N_1^i+{\mathrm{\&omega;}}_{t_2}\&CenterDot;N_2^i+{\mathrm{\&omega;}}_{t_3}\&CenterDot;N_3^i+{\mathrm{\&omega;}}_{t_4}\&CenterDot;N_4^i---\left(10\right)$

$D_k=\frac{N_D^k}{\underset{k=1}{\overset{L}{\&Sigma;}}{N}_D^k}---\left(11\right)$

In formula: i represents that bus is numbered；J represents valid endpoint sequence number；a_ijNumber for end points computing, represent the j connected on i bus Sequence number valid endpoint；T_ijRepresent the numbered a of computing_ijThe property value corresponding when being heterogeneity of end points, as shown in formula (12)；It is respectively the property value that power supply end points, load end points, popular endpoints are corresponding with opposite end point, and it closes System is WithRespectively represent bus i power source end points, load end points, Popular endpoints and opposite end point quantity；C_iRepresent the upper all heterogeneity end points quantity of bus i and property value product add up and, As shown in formula (10)；Represent single unit line quantity in block k；K represents single away from block number；L represents single away from block counts Amount；D_kRepresent single unit line quantity and ratio of all number of, lines of system in block k, as shown in formula (11)；N_BijRepresent End points a_ijThe bus quantity that lower region comprises；N_iRepresent bus i upper extreme point total quantity；A_ijExpression system all end points quantity be The ratio of system bus quantity, as shown in formula (9)；B_ijRepresent end points a_ijThe end points quantity that lower region comprises；

Step 4, fuzziness index definition: the monitor quantity arranged in system is inadequate, will cause the part end points can not be by effectively Monitoring, will appear from topology fuzzy during end points identification；The different fuzziness exponential form of definition carries out system end points fuzziness and describes；

Step 401, it is stipulated that the category that PQM monitoring is fuzzy；

B1) regulation 1: the end points being provided with monitor does not obscures；

B2) regulation 2: the N being connected with same bus_iIndividual end points, is provided with the end points quantity of monitor more than or equal to N_i- 1, then this N_iIndividual end points does not obscures；

B3) regulation 3: when still suffering from, after removing the end points having installed monitor, the end points that two are connected with bus, if coupled End points do not obscure, then the two end points does not obscures；

Step 402, ring-type multi-source system monitoring fuzzy indicator definition: define two kinds of fuzziness indexes, system entirety fuzziness with The maximum fuzziness of part；System entirety fuzziness is called for short IEA, and the maximum fuzziness of part is called for short IMA；Respectively such as formula (13), (14) Shown in；

$IEA=\frac{\underset{k=1}{\overset{K}{\&Sigma;}}{N}_{ND}^k}{\underset{i=1}{\overset{N_B}{\&Sigma;}}{N}_i}---\left(13\right)$

$IMA=\frac{max\{b_k,k\&Element;\&lsqb;1,2,...K\&rsqb;\}}{\underset{k=1}{\overset{K}{\&Sigma;}}{b}_k}---\left(14\right)$

Wherein:Represent the line scan pickup coil side point quantity that k block can not be identified；b_kRepresent the overall fog-level of block k,M_kRepresent the monitor quantity that block k is monitored；K is system block sum；IMA is carried out [0,1] consolidation Process, obtain normalized part maximum fuzziness IMA' as shown in formula (15)；

${\mathrm{IMA}}^{\&prime;}=\frac{\underset{k=1}{\overset{K}{\&Sigma;}}{N}_{ND}^k\&times;IMA-1}{\underset{k=1}{\overset{K}{\&Sigma;}}{N}_{ND}^k-1}---\left(15\right)$

The consolidation the most of the span of IEA and IMA' is interval to [0,1]；IEA explanation occurs the quality of power supply to disturb when electrical network arbitrfary point Time dynamic, monitoring system judges the ability of disturbing source position；IMA' illustrates the monitoring system impartial degree to each area monitoring ability； According to the two index, configuration N can be calculated_MThe system ambiguous degree of monitoring of individual monitoring point, monitors system ambiguous degree and is called for short IA, such as formula (16) shown in；

$IA=(\underset{i=1}{\overset{N_B}{\&Sigma;}}{N}_i-N_M)\sqrt{IEA(IEA+{\mathrm{IMA}}^{\&prime;})}---\left(16\right)$

Step 403, uses and monitors considerable matrix checking fuzziness: each fuzziness index of monitoring system can be by monitoring considerable square Battle array obtains and verifies, and its main flow is: 1) constructing system monitors considerable matrix M_CM；2) to M_CMMatrix carries out subregion Process；3) from each region, each PQM is got rid of according to fuzzy regulation 1,2,3；4) b of each block is calculated_k；5) IEA, IMA' are calculated, IA；

Step 5, the foundation of PQM Optimal Allocation Model: based on network characteristic analysis, and eigenmatrix, weight coefficient and fuzzy The definition of degree index, sets up the Optimized model of PQM the optimum layout, object function and constraints respectively such as formula (17), (18) institute Show；

$\min F\left(x\right)=\underset{x_{ij}}{min}\&lsqb;\underset{i=1}{\overset{N_B}{\&Sigma;}}\underset{j=1}{\overset{N_i}{\&Sigma;}}{\mathrm{\&alpha;}}_{ij}{\mathrm{\&beta;}}_{ij}{\mathrm{\&gamma;}}_{ij}{x}_{ij}\&rsqb;---\left(17\right)$

${\mathrm{NM}}_{min}\&le;\underset{i=1}{\overset{N_B}{\&Sigma;}}{N}_i-\underset{i=1}{\overset{N_B}{\&Sigma;}}\underset{j=1}{\overset{N_i}{\&Sigma;}}{x}_{ij}<{\mathrm{NM}}_{max}---\left(18\right)$

Wherein: F (x) is object function；NM_minAnd NM_maxMinimum number and maximum quantity for monitoring point；Decision variable x_ijTax Shown in value principle such as formula (19)；

Step 6, the solving of Optimized model: the basic ideas that PQM Optimal Allocation Model solves are, first calculate weight factor, base Set up object function in it and be optimized under given monitor quantity, determining detector positions；Then, based on known prison Survey device position, build and monitor considerable matrix, and then calculate IA index based on fuzziness testing process；Through successive ignition, finally Determine optimal number and the position of monitor, make IA value minimize under specifying constraint.