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研究生: NAVEEN BHARATHI
NAVEEN BHARATHI
論文名稱: Optimal Placement of Capacitors in Distribution Systems Using Particle Swarm Optimization
Optimal Placement of Capacitors in Distribution Systems Using Particle Swarm Optimization
指導教授: 張勝良
Sheng-Lyang Jang
口試委員: Cheng-Chien kuo
Cheng-Chien kuo
Hong-Chan Chang
Hong-Chan Chang
Hung-Cheng Chen
Hung-Cheng Chen
學位類別: 碩士
Master
系所名稱: 電資學院 - 電子工程系
Department of Electronic and Computer Engineering
論文出版年: 2018
畢業學年度: 106
語文別: 英文
論文頁數: 69
中文關鍵詞: Capacitor placementBackward/Forward Sweep algorithmparticle swarm Optimization
外文關鍵詞: Capacitor placement, Backward/Forward Sweep algorithm, particle swarm Optimization
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The present study deals with the optimal capacitor placement problem in the radial distribution systems using the optimization techniques. The technique utilizes two stage procedures in order to identify the best capacitor location and sizes. In first phase, the loss sensitivity analysis is carried out using two sensitivity indices to obtain the most candidate capacitor locations along the distribution line. Further, the particle swarm optimization is adopted to find the optimal locations as well as its size. The objective function is formulated in such a way to minimize the power loss and capacitor cost. In this optimal placement study, different capacitor modules such as fixed, switched and its combinations are considered for analysis.
The backward/forward sweep algorithm is developed to perform the load flow calculations and the proposed method is tested on the IEEE 34 and 85 bus distribution systems. Moreover, the performance studies are also performed on a real distribution system of the east delta network to validate the feasibility. From comprehensive study, it has been inferred that the proposed procedure achieved significant savings in the system total cost. Further, in comparison with other methods, the proposed scheme is found to be suitable for big distribution systems and can considerably improves its performance.


The present study deals with the optimal capacitor placement problem in the radial distribution systems using the optimization techniques. The technique utilizes two stage procedures in order to identify the best capacitor location and sizes. In first phase, the loss sensitivity analysis is carried out using two sensitivity indices to obtain the most candidate capacitor locations along the distribution line. Further, the particle swarm optimization is adopted to find the optimal locations as well as its size. The objective function is formulated in such a way to minimize the power loss and capacitor cost. In this optimal placement study, different capacitor modules such as fixed, switched and its combinations are considered for analysis.
The backward/forward sweep algorithm is developed to perform the load flow calculations and the proposed method is tested on the IEEE 34 and 85 bus distribution systems. Moreover, the performance studies are also performed on a real distribution system of the east delta network to validate the feasibility. From comprehensive study, it has been inferred that the proposed procedure achieved significant savings in the system total cost. Further, in comparison with other methods, the proposed scheme is found to be suitable for big distribution systems and can considerably improves its performance.

Abstract ............................................................................................................................................ i Acknowledgement .......................................................................................................................... ii List of Figures ................................................................................................................................. v List of Tables ................................................................................................................................. vi Chapter – 1 ...................................................................................................................................... 1 Introduction ..................................................................................................................................... 1 1.1 Background ........................................................................................................................... 1 1.2 Literature Review .................................................................................................................. 3 1.3 Types of capacitors................................................................................................................ 4 1.3.1 fixed capacitors ............................................................................................................... 4 1.3.2 switched capacitor .......................................................................................................... 5 1.3.3 automatic variable capacitor ........................................................................................... 5 1.3.4 controls of switched capacitors ....................................................................................... 5 1.4 Capacitors in distribution system .......................................................................................... 6 1.5 Objective of the work ............................................................................................................ 8 Chapter 2 ......................................................................................................................................... 9 2.1 Power Flow ........................................................................................................................... 9 2.1.1 Solution Algorithms to OPF Problems ........................................................................... 9 2.2 Particle swarm optimization ................................................................................................ 11 Chapter 3 ....................................................................................................................................... 13 Capacitor placement in Distribution system using Particle Swarm Optimization ........................ 13 3.1 Mathematical Model: .......................................................................................................... 14 3.2 Constraints:.......................................................................................................................... 14 3.3 Sensitivity Analysis and Loss Sensitivity Factors (LSI) ..................................................... 15 3.4 Candidate Bus selection using Loss Sensitivity Factor ....................................................... 18 3.5 Backward/forward sweep (BFS) algorithm: ....................................................................... 19 3.6 Testing: ................................................................................................................................ 23 3.7 Particle swarm optimization for capacitor placement: ........................................................ 24 iv 3.8 Algorithm for capacitor placement and sizing using loss sensitivity factors and particle swarm optimization ................................................................................................................... 26 Chapter 4 ....................................................................................................................................... 29 Results and Discussions ............................................................................................................ 29 4.1 Optimal capacitor placement on 34 – bus distribution systems .......................................... 29 4.2 Simulation Results for 34 – bus distribution system: .......................................................... 30 4.3 Optimal Capacitor placement on 85 – bus distribution systems ......................................... 35 4.4 Simulation Results for 85 – bus distribution system: .......................................................... 36 4.5 Optimal Capacitor placement on EDN bus distribution systems ........................................ 43 4.6 Simulation Results for EDN bus distribution system: ........................................................ 43 Chapter – 5 .................................................................................................................................... 48 Conclusions ................................................................................................................................... 48 5.1 Scope for Future work ......................................................................................................... 48 IEEE 85- bus test system ....................................................................................................... 51 IEEE EDN bus test system .................................................................................................... 55 References ..................................................................................................................................... 57

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