各國電力公司常使用動態模擬預測電力系統在不同狀況下之響應，系統調度員因應模擬結果做出調度策略，以讓系統在兼顧安全性及可靠性情況下運轉，並達到最佳經濟效益，電力系統規劃者亦使用動態模擬結果做出系統擴充設計，因此發電機組模型及模型參數之可靠性顯得十分重要。一般而言，發電機組參數大多由發電機製造商提供，部份參數有可調性，又部份參數會因維修時零件的置換，導致實際參數與原有的參數值有所差異，此參數差異會影響模擬結果，失真的結果可能導致誤判，進而影響決策，造成重大損失。
本文即利用台電同步向量測量單元(Phasor Measurement Unit，簡稱PMU)記錄到之事故資料，透過模擬與實測之交叉分析找出影響動態模擬的關鍵參數，改良發電機線上參數識別技術，並由頻率響應分析，驗證發電機組參數的正確性及對系統的影響。

Power system dynamic simulation is usually used to predict the behavior of power system under different operating scenarios by utility companies around the world. In order to ensure the system security and the economical benefit of the system operation, operators highly rely on the simulation results for decision making. Power system planning engineers also use the simulation results to make decision for grid expansion design. Therefore, the accuracy of generator model and its parameters play an important role on the simulation results. Generally speaking, most of the model parameters are provided by the generator manufacturers. Some of the models are user defined and model parameters may be changed due to the component replacement or tuning process. Under such circumstances, if parameters are not updated properly, simulation error could occur. The consequence of erroneous prediction may further lead to wrong decision and result in system failure.
This study utilizes the system fault records provided by the Phasor Measurement Units (PMUs) to identify key parameters of the generator model through cross check between simulation results and practical cases, and then refine the techniques for model verification as well as parameter identification. Finally, a frequency domain analysis is also presented to validate the identification technique.

[1] M. Nagpal, A. Moshref, G.K. Morison, and P. Kundur, “Experience with Testing and Modeling of Gas Turbines, ”in Power Engineering Society Winter Meeting, 2001. IEEE , vol.2 , pp.652-656 , 28 Jan - 01 Feb 2001.
[2] D.N. Kosterev, C.W. Taylor, and W.A. Mittelstadt, “Model validation for the August 10, 1996 WSCC system outage,” IEEE Transactions on Power Systems, vol. 14, no. 3, pp. 967 - 979, Aug 1999.
[3] C.C. Tsai, “PMU-based parameter identification for the synchronous generator dynamic model, ” Dec 2011.
[4] 楊俊哲、江榮城、廖清榮、胡澄讚、周芳正，“發電機組參數估測與模擬驗證 Part I：測試與模型參數之關聯性”，中華民國第三十二屆電力工程研討會，2011年12月2-3日。
[5] 楊俊哲、江榮城、廖清榮、胡澄讚、周芳正，“發電機組參數估測與模擬驗證 Part II：發電機參數量測自動驗證系統”，中華民國第三十二屆電力工程研討會，2011年12月2-3日。
[6] 江榮城、胡澄讚、廖清榮、林群峰、楊俊哲、楊金石、周芳正，“發電機組模型參數定期量測與確認-II”，中華民國第三十二屆電力工程研討會，2011年12月2-3日。
[7] J.C. Wang et al., “Identification of excitation system models based on on-line digital measurements,” IEEE Transactions on Power Systems, vol. 10, no. 3, pp. 1286-1293, Aug 1995.
[8] E.P.T. Cari, L.F.C. Alberto, and N.G. Bretas, “A new methodology for parameter estimation of synchronous generator from disturbance measurements,” in Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century, 2008 IEEE , Pittsburgh, PA , 20-24 July 2008 , pp. 1 - 7.
[9] H.B. Karayaka, A. Keyhani, G.T. Heydt, B.L. Agrawal, and D.A. Selin, “Synchronous generator model identification and parameter estimation from operating data ,” IEEE Transactions on Energy Conversion, vol. 18, no. 1, pp. 121 - 126 , Mar 2003.
[10] Y. Cheng, W.J. Lee, S.H. Huang, and J. Adams, “A hybrid method for the dynamic parameter identification of generators via on-line measurements,” in Industrial and Commercial Power Systems Technical Conference （I&CPS）, 2010 IEEE , 9-13 May 2010.
[11] M. Karrari, and O.P. Malik, “ Identification of physical parameters of a synchronous Generator from online measurements,” in Energy Conversion, IEEE Transactions, vol.19, issue:2, June 2004.
[12] M. karrari, and O.P. Malik, “Identification of Heffron-Phillips model parameters for synchronous generators using online measurements,” in Generation, Transmission and Distribution, IEE Proceedings, vol.151, issue:3, pp.313-320, May 2004.
[13] 張簡樂仁、李偉仁、陳奕任、林家榮、劉子銨、楊明達、吳進忠、周芳正、蔡金助，“發電機組參數線上模擬識別技術研究計畫完成報告”，中華民國102年7月28日。
[14] Z. Huang, M. Kosterev, R. Guttromson, and T. Nguyen, “Model validation with hybrid dynamic simulation,” in Power Engineering Society General Meeting, 2006. IEEE , 16 October 2006.
[15] A.K.Jain, “Artificial neural networks: a tutorial, ”in computer, vol. 29, issue:3, pp. 31-44, 06 Aug 2002.
[16] D.E.Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley Longman Publishing Co, Jan 1989.
[17] Y. del Valle, G.K. Venayagamoorthy, S. Mohagheghi, J. C. Hernandez, and R.G. Harley, “Particle Swarm Optimization: Basic Concepts, Variants and Applications in Power Systems,” IEEE Transactions on Evolutionary Computation, vol. 12 , Issue:2, p. 171, April 2008.
[18] 陳奕任，“透過同步相量量測單元施行發電機模型參數驗證及識別” ，中華民國 102年6月。
[19] S. Nibhanupudi, R. Youssif, and C. Purdy, “Data-specific signal denoising using wavelets, with applications to ECG data,” in Circuits and Systems, 2004. MWSCAS '04. The 2004 47th Midwest Symposium , vol.3, pp.219-222, July 2004.
[20] PSS/E 32.0 Program Operation : Model Library, PTI,2009.
[21] P. Kundur, M. Klein, G.J. Rogers, and M.S. Zywno,“Application of power system stabilizers for enhancement of overall system stability,” in Power Systems, IEEE Transactions, vol.4, Issue:2,pp.614-626,May 1989.
[22] A. Murdoch, S. Venkataraman, R.A. Lawson, and W.R. Pearson, “Integral of accelerating power type PSS. I. Theory, design, and tuning methodology,” in Energy Conversion, IEEE Transactions, vol.14, issue:4, pp1658-1663, Dec 1999.
[23] E.V. Larsen, and D.A.Swann, “Applying Power System Stabilizers Part I: General Concepts,” in Power Apparatus and Systems, IEEE Transactions, vol. PAS-100, Issue: 6, pp.3017-3024, June 1981.
[24] E.V. Larsen, and D.A.Swann, “Applying Power System Stabilizers Part II: Performance Objectives and Tuning Concepts,” in Power Apparatus and Systems, IEEE Transactions, vol. PAS-100, Issue: 6, pp.3025-3033, June 1981.
[25] E.V. Larsen, and D.A.Swann, “Applying Power System Stabilizers Part III: Practical Considerations,” in Power Apparatus and Systems, IEEE Transactions, vol. PAS-100, Issue: 6, pp.3034-3046, June 1981.
[26] P. Kundur, Power System Stability and Control, McGraw-Hill, 1994.
[27] 楊俊哲，“明潭電廠三號機參數驗證分析報告”，台灣電力公司綜合研究所研究報告，中華民國100年9月。