本論文提出混合型螢火蟲演算法求解地下輸電系統串接補償電感器之最佳容量擬定，此方法係將螢火蟲趨光群聚行為予以分析模擬，進而將此演算法應用於最佳化問題之求解。而由於地下電纜被覆層之補償電感對於被覆損失及感應電壓之變化，均有極大影響，因此本文即將所提方法應用至輸電電纜補償裝置之容量解析評估，期以確保輸電系統維持高品質之控制運轉。又由系統測試結果及不同演算法之效能比較，均已佐證應用本文提出之混合型演算法於補償電感容量之決策擬定上，確已展現優異補償效能，並將有助於地下輸電系統設計規劃參考之需。

This thesis has proposed a Hybrid FireFly Algorithm (HFFA) to reactor placement decision support of underground cable transmission systems. This method is developed based on the analysis of phtotaxis behavior of fireflies such that the optimization problem can be accordingly solved more effectively. Then, in view of high relationships existed among the connected reactors, the sheath loss, and the induced voltage, the proposed method is applied to determine the appropriate reactor placement in a underground cable transmission system. Being tested through different transmission lines with comparison to other methods, the proposed approach has exhibited its satisfactory decision support for reactor placement, which also serves as a beneficial reference for underground transmission planning and design.

[1] H. E. Orton and R. Samm, “Worldwide Underground Transmission Cable Practices,” IEEE Transactions on Power Delivery, Vol. 12, No. 2, pp. 533-541, April 1997.
[2] J. H. Fondeur, J. H. Leroy, A. Pinet, G. Rossignol and E. Simeon, “Behaviour of XLPE Insulated Medium Voltage Cables in Long Duration Immersion,” 14th International Conference and Exhibition on Electricity Distribution, Birmingham, UK, Vol. 3, pp. 4/1 - 4/5, June 1997.
[3] J. R. R. Ruiz and X. A. Morera, “Effects of the Circulating Sheath Currents in the Magnetic Field Generated by an Underground Power Line”, International Conference on Renewable Energy and Power Quality, Mallorca, Spain, 2006.
[4] “IEEE Guide for the Application of Sheath-Bonding Methods for Single-Conductor Cables and the Calculation of Induced Voltages and Currents in Cable Sheaths,” ANSI/IEEE Standard 575, 1988.
[5] S. J. Hsiao, M. T. Chen and S. W. Hsiao, “Induced Voltage Simulation and Analysis for Underground Cable Grounded System,” Proceedings of the 29th Symposium on Electrical Power Engineering, Tainan, Taiwan, pp. 99-103, December 2008.
[6] H. Z. Ma, X. R. Ni, L. H. Li and D. H. Wang, “Research on Compensation of Induced Voltage in the Metal Shield of the High-Voltage Power Cable,” CNKI Journal of High Voltage Engineering, Vol.33 No.3, pp.148-151, March 2007.
[7] P. Cheng, H. M. Huang and S. J. Shiu, “Analysis and Precautions of Abnormal Ring Current Flowed in the Metal Sheath of Single-core Cable,” Distribution & Utilization, Vol. 24, No. 5, pp. 50-51, October 2007.
[8] K. Steinbrich, “Reduction of Operating Frequency for Power Cables,” European Transactions on Electrical Power, Vol. 12, Issue 3, pp. 235-238, March 2007.
[9] J. S. Kim and K. H. Suk, “Development and Efficacy of Sheath Current Reduction Devices on Underground Power Cable Systems,” Jicable the Leading Forum for Insulated Power Cables, pp.1-6, 2007.
[10] C. K. Jung, J. B. Lee, J. W. Kang, X. H. Wang and Y. H. Song, “Sheath Current Characteristic and Its Reduction on Underground Power Cable Systems,” IEEE Power Engineering Society, General Meeting, San Francisco, USA, Vol. 3, pp. 1-8, January 2005.
[11] X. S. Yang, “Firefly Algorithms for Multimodal Optimization,” Lecture Notes in Computer Science, Sapporo, Japan, Vol. 5792, pp. 169-178, October 2009.
[12] P. Aungkulanon, N.Chai-ead and P. Luangpaiboon, “Simulated Manufacturing Process Improvement via Particle Swarm Optimisation and Firefly Algorithms,” Proceeding of International MultiConference of Engineers and Computer Scientists, Hong Kong, Vol.2, March 2011.
[13] Handbook of Transmission Line Engineering, Taiwan Power Company, pp. 1-2-7-1~1-2-7-23，January 2004.
[14] K. Tanimoto, “Calculation Results on Induced Sheath Voltage for 345kV XLPE Power Cable System,” J-Power System Corporation, No. JTD23-X1258 Rev A, August 2006.
[15] X. H. Wang, Y. H. Song, C. K. Jung and J. B. Lee, “Tackling Sheath Problems: Latest Research Developments in Solving Operational Sheath Problems in Underground Power Transmission Cables,” Electric Power Systems Research, Vol. 77, No. 10, pp. 1449-1457, August 2007.
[16] H. Ma, J. Song, X. Ni and L. Zhang, “Analysis of Induced Voltage in Metal Shield of Power Cable and Research on Its Restraining Technology Based on Asymmetric State,” Third International Conference on Electric Utility Deregulation and Restructuring and Power Technologies, Nanjing, China, pp. 948-951, May 2008.
[17] L. Yan, F. D. Peng, X. L. Chen, Y. H. Cheng and L. Xu, “Study on Sheath Circulating Current of Cross-linked Power Cables,” International Conference on High Voltage Engineering and Application, Chongqing, China, pp. 645-648, 2008.
[18] A. Ponniran and M.S. Kamarudin, “Study on the Performance of Underground XLPE Cables in Service Based on Tan Delta and Capacitance Measurements,” 2nd IEEE International Conference on Power and Energy, Baharu, Malaysia, pp.39-43, December 2008.
[19] 台灣電力公司輸變電工程處，“新建地下輸電線路管理埋深及配置設計準則”，民國九十五年。
[20] 鍾慶茂，“161kV交連PE地下電纜老化問題之研究”，國立台灣科技大學電機工程所碩士論文，民國九十四年。
[21] C. Y. Chung, C. H. Liang, K. P. Wong and X. Z. Duan, “Hybrid Algorithm of Differential Evolution and Evolutionary Programming for Optimal Reactive Power Flow,” IET Generation, Transmission and Distribution, Vol. 4, Iss. 1, pp. 84-93, January 2010.
[22] X. S. Yang, “Firefly Algorithms, Stochastic Test Functions and Design Optimization”, International Journal of Bio-Inspired Computation, Vol. 2, No. 2, pp. 78-84, March 2010.
[23] S. Lukasik and S. Zak, “Firefly Algorithm for Continuous Constrained Optimization Tasks,” Lecture Notes in Computer Science, Wroclaw, Poland, Vol. 5796, pp. 97-106, October 2009.
[24] C. C. Miller, Fireflies, Capstone Press, pp. 1-24, 2005.
[25] D. G. Bailey, “An Efficient Euclidean Distance Transform,” Combinatorial Image Analysis, Vol. 3322, pp. 394-408, 2005.
[26] A. I. Selvakumar, “A New Particle Swarm Optimization Solution to Nonconvex Economic Dispatch Problems,” IEEE Transactions on Power System, Vol.22, No.1, February 2007.
[27] H. Ishibuchi and T. Yamamoto, “Fuzzy Rule Selection by Multi-Objective Genetic Local Search Algorithms and Rule Evaluation Measures in Data Mining,” Fuzzy Sets and Systems, Vol. 141, pp.59-88, April 2003.
[28] H. Ishibuchi, T. Yoshida and T. Murata, “Balance Between Genetic Search and Local Search in Memetic Algorithms for Multiobjective Permutation Flowshop Scheduling,” IEEE Transactions on Evolutionary Computation, Vol. 7, pp. 204-223, April 2003.
[29] H. Broersma, “Application of the Firefly Algorithm for Solving the Economic Emissions Load Dispatch Problem,” International Journal of Combinatorics, Vol. 2011, pp. 1-23, November 2010.
[30] 台灣電力股份有限公司綜合研究所，“地下電纜被覆循環電流之量測值與計算值差異之研究”，九十九年度研究計畫，民國九十九年。
[31] J. H. Seo, C. H. Im, C. G. Heo, J. K. Kim, H. K. Jung and C. G. Lee , “Multimodal Function Optimization Based on Particle Swarm Optimization,” IEEE Transactions on Magnetics, Vol. 42, No. 4, pp. 1095-1098, April 2006.
[32] B. C. Song, M. J. Kim and J. B. Ra , “A Fast Multiresolution Feature Matching Algorithm for Exhaustive Search in Large Image Databases,” IEEE Transactions on Circuits and Systems for Video Technology, Vol. 11, No. 5, pp. 673-678, May 2001.
[33] 洪維恩，Matlab7程式設計，旗標出版股份有限公司，民國九十六年。