Distribution Network Planning Based on Entropy Fuzzy Comprehensive

Transcription

1 Applied Mechanics and Materials Vols pp Online: Trans Tech Pblications, Switzerland doi:10.408/ Distribtion Network Planning Based on Entropy Fzzy Comprehensive Method Zhengyan Jia 1, a, Zho Fan,b, Miaomiao Jiang 3,c 1,,3 School of Bsiness and Administration, North China Electric Power University, Baoding, China a jzy111111@16.com, b fanzho836@163.com, c jiangmm87@16.com Key words: distribtion network planning; comprehensive fzzy evalation; entropy weight method Abstract. Comprehensive evalation of distribte network planning is a mlti-factors decision-making problem in complicated system. Combining with the factors of distribte network planning, established for the distribtion network planning project evalation fzzy comprehensive evalation model, and the entropy weight method is led into comprehensive fzzy evalation. It overcomes the shortages of traditional method, which reqires to the independence of each inde, and the weight coefficients of factors are atomatically determined according to the opinion of eperts. Finally, one eample is sed to verify the feasibility and practicality of the method. Introdction In recent years, the distribtion network plan becomes very important one fondation project that electric power develops. The distribtion network is directly connected with the ser, with mltiple levels of voltage and compleity of network strctre, and is distribted widely and so on. Which reqires power grid planning process, considering the strctre of distribtion system reliability, fleibility, economy and resorce conservation of and other factors, and planning for comprehensive evalation. Fzzy comprehensive evalation method sed for distribtion network planning deficiencies, this paper introdces the concept of information entropy evalation model, in order to determine the objective weights. The new weight has contained the decision-making epert opinion and the eperience, simltaneosly does not lose the objectivity. The eample comptation analysis reslt confirmed has applied based on the entropy power fzzy comprehensive evalation method in the distribtion network planning feasibility and effectiveness. Establish the Entropy of The Fzzy Optimization Model The Entropy Method to Determine the Weight Vector In determining the weight vector of evalation, they often se more sbjective methods to determine the weight, it will reslt in evalation cold be de to sbjective factors in the formation of bias. Therefore, the concept of information entropy. Information entropy reflects the degree of disorder, the vale of the smaller, the smaller system disorder, so the available information entropy evalation system information can be obtain degree of order and their effectiveness, that is, evalation inde vale to determine the composition of the comparison matri target weight vector to minimize the weight of each inde calclation to eliminate hman interference, so that the evalation more realistic. The calclation steps are as follows: 1 Constrction of m-n-things Evalation of Matri Y. All rights reserved. No part of contents of this paper may be reprodced or transmitted in any form or by any means withot the written permission of Trans Tech Pblications, ID: , Pennsylvania State University, University Park, USA-19/09/15,04:0:05

2 Applied Mechanics and Materials Vols Y i 1,,, n; j 1,,, m m n 1 Matri normalization, seek normalized comparison matri C. min c ma min Type of ma min were indicators of different things with the most satisfied or dissatisfied with the most. 3According to the definition of entropy, m-n-evalation of things, determine the evalation of the entropy: H i Where: 1 ln m f m c j m j1 f ln f c 1, provided when ln f 0, there are ln 0 f f 4Calclating the entropy weight vector of evalation inde. 1 H i wi n n H i1 i, and satisfies n w i i1 3 i 1,,3. m; j 1,,3,. n Entropy-Based Fzzy Optimization Model Optimization of resorce tilization in the identification process is often no absolte demarcation of bondaries, with transitional intermediary, are fzzy concepts. Based on mltiple fzzy optimization theory, the entropy weight vector to constrct the fzzy entropy-based optimization model, the calclation is as follows: 1Sppose to meet the constraints for n-selection decision Distribtion Network Planning, pros and cons of Eigen vales according to m target identification, and then bild the program of m-n-things evalation of Eigen vale matri X m1 1 m 1n n mn i 1,,, m; j 1,,, n mn Classification of the Eigen vale, according to the type of target, target relative membership degree matri R. r11 r1 r1 n r r r R 1 r r n rmn r m1 m 5 3Entropy method sed to determine the weight vector of each inde. 4Calclate the optimal program nder varios levels of relative membership degree vector.

3 78 Advanced Mechanical Engineering hj 0 h a j or h bj m b j i r sh i1 a, 0 m j h bj dhj kaj i r sk i1 1 dhj 0 5Application type 6 can be obtained at all levels of the optimal soltion relative membership degree matri. U 11 1 m1 1 m 1n n mn 6Calclate the Eigen vale of each program-level. H 1 c hj Constrction of Evalation Inde System Entropy-based Fzzy comprehensive evalation in a comprehensive distribtion network planning program evalation, needs to establish a scientific, rational, workable comprehensive evalation system, the key and difficlt point is to determine the main factors and evalation. In this paper, according to the present distribtion network as well as the actal eperience of policy makers, planning distribtion networks throghot the investigation and analysis of historical data, respectively, from the safety of distribtion network planning, economy, resorce consmption three aspects, the establishment of an integrated distribtion network planning program evalation system. Shown in Table 1. Tab.1 Distribtion Network Planning Comprehensive Assessment System Distribtion Network Planning Comprehensive Assessment System Secrity Economy Consmption of resorces Power spply reliability rate/% Capacity load ratio Contact rate between stations/% Standardized rate of load management/% Total investment / million Yan Units of additional capacity investment yan MW h Payback period/a Sbstation / Block Net loss rate/% 1

4 Applied Mechanics and Materials Vols Application A district of Shanghai as an eample of distribtion network planning analysis shows. The planning area of abot 14.6 km Power Spply,While considering the load rate, the region's vision of load MW,the overall load density of abot 16 MW. According to the planning area km network technical reqirements, developed two different planning options throgh network analysis and investment bdget, the program's decision-making attribte data shown in Table. Tab. The Decision-making Data of High-medim Voltage Distribtion SystemPlans in a Part District of Shanghai Secrity B 1 Economy B Consmption of resorces Inde Program Option 1 Option Power spply reliability rate/% Capacity load ratio Contact rate between stations/% Standardized rate of load management/% Total investment / million Yan Units of additional capacity investment Yan MW h Payback period/a Sbstation / Block 6 5 B 3 Net loss rate/% These two programs each have their own advantages, varios factors need to be considered for comprehensive evalation. With bilt in front of the fzzy entropy-based optimization model, sing entropy of fzzy optimization theory from two programs choose the best option. Entropy method sed to determine the weight of each evalation inde, according to Table of the evalation system of the formation of a 4 4 order, a 3 3 order, a order of three indees of jdgment matri. Pair wise comparison inde, sing 1-9 scale table importance of qantitative description. hen establish jdgment matri and consistency check. For each of the inde weight as follows: C 1i =[0.3376,0.4443,0.0763,0.1419]; C i =[0.1494,0.474,0.3764]; C 3 i =[0.5,0.5] Combination of property vale inde and weight, are the decision-making nit integrated vale of the evalation criteria shown in Table 3.

5 784 Advanced Mechanical Engineering Tab.3 Integrated Vales of Evalation Criteria for Each DMU Evalation criteria Decision making nit Option 1 Option Secrity B Economy B Consmption of B resorces 3 Accordingly, the calclated target vale of the option 1 is integrated, option is From the calclation reslts show that compared two programs, Option larger goal of integrated vale, indicating that the Option concrrently economic, social and environmental benefits of the comprehensive reqirements, also has a good economy, then the Option as the preferred distribtion network planning. Conclsion This paper proposes a new comprehensive evalation method - entropy-based fzzy optimization model. The model overcomes the disadvantage of traditional evalation method reqires inde between independent of each other, more objectively reflect the distribtion network planning decision-making process, the relationship between each inde by entropy get more actal indees weights. Calclation eample proves that this method is reasonable and reliable, practical, is a worthy of its application to distribtion network planning scheme, a new method of comprehensive evalation. References [1]J Ping,Li Jingia.Optimized fzzy planning of distribtion power networks part one:model and methodology[j].atomation of Electric Power Systems,007,614:45-48in Chinese. []Sheng Siqing, Wang Hao. An improved genetic algorithm for distribtion network planning[j].power System Technology,008,317:69-7in Chinese [3]Hang Wzhong,Zhong Danhong,W Jie,et al.application of fzzy comprehensive jdgment in long-term network planning [J].Distribtion & Utilization,001,185:7-9in Chinese. [4]Romero R,Monticelli A,Garcia A,et al.test systems and mathematical models for transmission network epansion planning [J].IEE Proceedings of Generation Transmission and Distribtion, 00,1491:7-36. [5]Wang Wei,Zhang Lizi,Ma Xifan.Medim-Voltage distribtion system planning with fzzy comprehensive evalation and configration-nit[j].atomation of Electric Power Systems, 006,301:4-46in Chinese.

6 Advanced Mechanical Engineering / Distribtion Network Planning Based on Entropy Fzzy Comprehensive Method / DOI References [4] Romero R Monticelli A Garcia A et al Test systems and mathematical models for transmission network epansion planning [J] IEE Proceedings of Generation Transmission and Distribtion doi: /ip-gtd:00006