在過去三十多年來，大型汽輪發電機組受電力系統激擾之轉矩衝擊已廣泛被研究，但大多數之文獻均集中於偶發性之大型擾動所造成之汽輪機轉軸損壞，例如由網路故障引起之轉軸扭轉振動。很顯然的，由常見電力系統小型擾動所引發的影響較少受到重視。事實上，雖然小擾動不若大擾動般具瞬間之破壞作用，但若其為持續不斷的對汽輪機構件施加激擾，並在某些條件輔助下，其長期（例如數十年）累積損傷可能不容忽視。
許多電力系統運轉狀況會導致小型擾動，如負載切離、線路切換、控制系統參數重設、諧波干擾等，因大部份只引起汽輪機短暫或瞬間之非共振擾動，因此，其破壞作用非常有限，但其中電力系統之次諧波激擾，卻可能激起汽輪發電機組之機電次同步共振，其破壞力即變得非常大。因此，本文針對電力系統中兩種次諧波，提出其對汽輪機轉軸及葉片之轉矩振動及長期損傷分析。
首先，高壓直流輸電系統次諧波由長期穩態激擾之觀點，考量實際兩不同步之交流系統頻率運轉特性，並利用奇異公司三年之研究計劃成果，分析比對汽機轉軸及葉片之累積疲勞損耗，發現鄰近汽輪發電機不論於轉軸或葉片，其長期疲勞損傷顯示有潛在性之危險。再探討不同運轉條件下對損傷之影響，藉以作安全性運轉之參考。同時並提出適當之減振設備-扭轉阻尼器，基於線性系統參與因子輔以機電類比觀念，設計其最佳安置位置及型式，俾確保汽輪機構件不受次諧波之破壞，亦使網路故障時之振動轉矩減輕，以收延長壽命之效。此外，當整流器側發生不對稱線路故障時，本文亦提出於換流側之機電超同步共振現象，並分析其危害程度。
其次，電弧爐負載運轉時產生實功及虛功遽烈之變化，虛功之遽變造成匯流排電壓閃爍之電力污染；實功之遽變導致汽輪發電機實功出力變動，造成次同步頻率成份電磁轉矩激源，對汽輪機構件引發隨機性之次同步振動。此一施加於低壓汽輪機長葉片之小變動應力，當應力與腐蝕環境之結合，提供了腐蝕疲勞作用發生之條件。因此，雖然責任分界點電壓閃爍值仍於管制值以下，長期之腐蝕疲勞損傷模擬發現葉片卻可能早已損壞。換言之，傳統電壓閃爍管制值之保護措施雖可避免人體肉眼舒適，但可能無法完全避免對長葉片之破壞。故當一鄰近電廠之電弧爐專業區，電弧爐負載運轉長期作用不可被忽略，須注意葉片材質強度與運轉環境特性，若評估結果顯示葉片潛藏損壞之威脅，則必須重新設計電廠輸出容量及限制錯開各工廠之運轉責任週期以控制發電機之遽變實功。

During the three decades, the torsional impact on turbine-generator sets due to power system disturbances has been extensively discussed in many research works. However, most of them are focused on the fatigue damage of turbine shafts due to large-signal disturbances. For example, network faults occur. Obviously, the torsional effect subject to small-signal disturbances has not received much attention. In fact, although the small disturbances would not immediately damage the turbine mechanism, the cumulative long-term damaging effects may not be negligible under certain circumstances.
Many operating conditions in power systems may lead to small disturbances on blades; for examples, shedding loads, switching transmission line, resetting control system parameters, and harmonics etc. Nevertheless, others only cause short-term or transient non-resonant disturbances occasionally except the power system subharmonics which could results in electro-mechanical resonance. Therefore, two types of subharmonics in power systems are proposed so as to investigate the toque impact and long-term fatigue life expenditure in turbine shafts and blades.
Firstly, from the steady-state disturbance viewpoint, the long-term cumulative fatigue estimation based on the three-year project of the GE Co. shows that there are potential damages for both the shafts and the blades of the nearby generators caused by the subharmonic excitations of the HVDC link. The fatigue life sensitivity works are also carried out to provide the recommendations for the safety operation. The optimal damper type and disposition scheme for depressing the resonant torque and prolonging the turbine lifetime is consequently motivated, which is based on participation factor of linear systems with the electromechanical analogy. The effectiveness of this scheme on suppressing vibration torque arising from network faults is also satisfying. In addition, the authors propose the new electromechanical supersynchronous resonance phenomenon for the turbine-generators near the inverter station owing to asymmetric line faults near the rectifier station.
Secondly, the dramatic real and reactive power consumption during the melting period of an electrical arc furnace load. The voltage flicker pollution is mainly caused by the reactive power fluctuation while the stochastic subsynchronous oscillation in turbine mechanism is excited by the electromagnetic torque of the subsynchronous frequency which is induced by the real power fluctuation. Such a small stress imposed on the low-pressure long turbine blade combined with its evitable corrosive environment contributing to the corrosion fatigue effect. Although the voltage flicker severity at the point of common coupling is still within the limit, the blade may have been damaged from the long-term corrosion fatigue life expenditure estimation. In other words, the conventional voltage flicker limit established to make human-eye comfortable might not protect the blade from damaging risk. The long-term influence resulted from the electric arc furnace loads cannot always be neglected. It is necessary to take care of the blade material intensity and operating environment. If there is the potential of blade damage, one has to strengthen the output capacity at the power plant or separate the peak load durations among the steel plants to limit the over-fluctuation real power of the generator.

摘要 i
Abstract ii
目錄 iv
圖目錄 vi
表目錄 x
符號表 ix
第一章、簡介 1
1-1研究背景與目的 1
1-2論文章節概要與創新 5
第二章、系統模型 9
2-1同步發電機模型 9
2-2汽輪機械系統模型 13
2-3激磁機系統模型 17
第三章、高壓直流輸電系統穩態諧波激源分析 18
3-1高壓直流輸電系統換流器輸出電流 18
3-2電磁轉矩頻率分佈 20
3-3主要次諧波電流對應之電磁轉矩頻率分佈 20
3-4高壓直流輸電系統次諧波電流大小估算 22
3-5轉軸及葉片之振動轉矩估算 24
第四章、高壓直流輸電系統次諧波造成汽輪機長期疲勞損傷 32
4-1大型發電機組轉軸及葉片金屬疲勞理論 32
4-2長期疲勞損傷模擬 38
4-3設計初安全因數之考量 56
4-4本章結論 59
第五章、汽輪機受高壓直流輸電系統次諧波激擾之壽命延長策略 60
5-1阻尼器結構與機電類比 61
5-2特徵值分析 65
5-3參與因子 65
5-4高壓直流輸電次諧波電流所引發共振轉矩抑制 69
5-5電力系統故障激起之轉矩抑制 74
5-6本章結論 80
第六章、高壓直流輸電系統非對稱線路故障對汽輪機構件之暫態危害 81
6-1研究系統 82
6-2暫態超諧波源分析 83
6-3時域非線性模擬 88
6-4討論 91
6-5本章結論 92
第七章、電弧爐負載造成之低壓汽輪機葉片長期腐蝕疲勞損傷 100
7-1系統模型 102
7-2電壓閃爍造成之電磁轉矩成份分析 104
7-3電弧爐負載對大型汽輪發電機之轉矩振動 106
7-4汽輪機之葉片腐蝕疲勞 116
7-5電壓閃爍分析 121
7-6長期疲勞壽命分析 129
7-7本章結論 134
第八章、結論與未來研究方向 135
8-1結論及貢獻 135
8-2未來研究方向 137
參考文獻 139
附錄A、機組參數 150
附錄B、各國電壓閃爍與電壓變動標準一覽表 153

[1] M. C. Hall and D. A. Hodges, "Experience with 500kV subsynchronous resonance and resulting turbine generator shaft damage at Mohave generation station," IEEE Publ. 76 CH1066-PWR, New York: IEEE Press, pp. 22-29, 1976.
[2] D. N. Walker, C. E. J. Bowler, R. L. Jackson, and D. A. Hodges, "Results of subsynchronous resonant test at Mohave," IEEE Trans. Power Apparatus and Systems, vo1. 94, no. 5, pp. 1878-1885, 1975.
[3] IEEE SSR Working Group, "Proposed terms and definitions for subsynchronous oscillations," IEEE Trans. Power Apparatus and Systems, vol. 99, no. 2, pp. 506-511, 1990.
[4] IEEE SSR Working Group, "Terms, definitions and symbols for subsynchronous oscillations," IEEE Trans. Power Apparatus and Systems, vol. 104, no. 6, pp. 1326-1334, 1985.
[5] IEEE SSR Working Group, "Second benchmark model for computer simulation of subsynchronous resonance," IEEE Trans. Power Apparatus and Systems, vol. 140, pp. 1057-1066, 1985.
[6] IEEE SSR Working Group, "First benchmark model for computer simulation of subsynchronous resonance," IEEE Trans. Power Apparatus and Systems, vol. 96, pp. 1565-1572, 1997.
[7] IEEE SSR Working Group, "Countermeasures to subsynchronous resonance problems," IEEE Trans. Power Apparatus and Systems, vol. 99, no. 2, pp. 1810-1818, 1980.
[8] IEEE Torsional Issues Working Group, "A bibliography for the study of subsynchronous resonance between rotating machines and power systems," IEEE Trans. Power Apparatus and Systems, vol. 95, no. 1, pp. 216-218, 1976.
[9] IEEE Torsional Issues Working Group, "First supplement a bibliography for the study of subsynchronous resonance between rotating machines and power systems,’ IEEE Trans. Power Apparatus and Systems, vol. 98, no. 6, pp. 1872-1875, 1979.
[10] IEEE Torsional Issues Working Group, "The second supplement to a bibliography for the study of subsynchronous resonance between rotating machines and power systems,’ IEEE Trans. Power Apparatus and Systems, vol. 104, no. 2, pp. 312-327, 1985.
[11] IEEE Torsional Issues Working Group, "Third supplement to a bibliography for the study of subsynchronous resonance between rotating machines and power systems,’ IEEE Trans. Power Apparatus and Systems, vol. 6, no. 2, pp. 830-834, 1991.
[12] IEEE Torsional Issues Working Group, "Fourth second supplement to a bibliography for the study of subsynchronous resonance between rotating machines and power systems,’ IEEE Trans. Power Systems, vol. 12, no. 3, pp. 1276-1282, 1997.
[13] A. E. Malik, G. S. Hope and M. El-Sadek, "Application of a thyristor controlled var compensator for damping subsynchronous oscillation in power systems," IEEE Trans. Power Apparatus and Systems, vol. 103, no. 1, pp. 198-212, 1985.
[14] B. K. Perkins and M. R. Iravani, "Dynamic modeling of a TCSC with application to SSR analysis," IEEE Trans. Power Apparatus and Systems, vol. 12, no. 4, pp. 1619-1825, November 1997.
[15] H. F. Wang, F. J. Swift and M. Li, "Analysis of thyristor-controlled phase shifter in damping power system oscillations," Electrical Power and Energy Systems, vol. 19, no. 1, pp. 1-9, 1997.
[16] O. Wasynczuk, "Damping shaft torsional oscillations using a dynamically controlled resistor bank," IEEE Trans. Power Apparatus and Systems, vol. 100, no.7, pp. 3340-3349, July 1981.
[17] Y. S. Lee and C. J. Wu, "Application of superconducting magnetic energy storage unit on damping of turbo-generator subsynchronous oscillation," IEE Proc., Pt. C, vol. 138, no. 5, pp. 419-426, 1991.
[18] L. Wang, S. J. Mau and C. C. Chuko, "Suppression of common torsional mode interactions using shunt reactor controllers," IEEE Trans. Energy Conversion, vol. 8, no. 3, pp. 539-545, September 1993.
[19] C. Chyn, R. C. Wu, and T. P. Tsao, "Torsional fatigue of turbine generator shafts owing to network faults," IEE Proc. Generation, Transmission and Distribution, vol. 143, no. 5, pp. 479-486, 1996.
[20] J. S. Joyce, T. Kulig and D. Lambrecht, "The impact of high-speed reclosure of singe and multi-phase system faults on turbine-generator shaft torsional fatigue," IEEE Trans. Power Apparatus and Systems, vol. 99, pp. 279-291, 1980.
[21] A. Abolins, D. Lambrecht, J. S. Joyce, and L. T. Rosenberg, "Effect of clearing short circuits and automatic reclosing on torsional stress and life expenditure of turbine generator shafts," IEEE Trans. Power Apparatus and Systems, vol. 95, no.1, pp. 14-25, 1976.
[22] T. J. Hammons, "Stressing of large turbine-generators at shaft couplings and LP turbine final-stage blade roots following clearance of grid system faults and faulty synchronization," IEEE Trans. Power Apparatus and Systems, vol. 99, no. 4, pp. 1652-1662, 1980.
[23] S. O. Faried, R. Billinton, S. Aboreshaid and M. Fotuhi-Fifilzabad, "Stochastic evaluation of turbine-generator shaft torsional torques during faulty synchronization," IEE Proc. Generation, Transmission and Distribution, vo1. 143, no. 5, pp. 487-491, 1996.
[24] M. C. Jackson, S. D. Umans, R. D. Dunlop, S. H. Horowitz, and A. C. Parikh, "Turbine-generator shaft torques and fatigue -Part I: Simulation methods and fatigue analysis," IEEE Trans. Power Apparatus and Systems, vol. 98, no. 6, pp. 2299-2307, 1979.
[25] C. E. J. Bowler, P. G. Brown, D. N. Walker, "Evaluation of the effect of power circuit breaker reclosing practices on turbine-generator shafts," IEEE Trans. Power Apparatus and Systems, vol. 99, pp. 1764-1779, 1980.
[26] R. D. Dunlop, S. H. Horowitz, A. C. Parikh, M. C. Jackson, and S. D. Umans, "Turbine-generator shaft torques and fatigue -Part II: Impact of system disturbances and high speed reclosure," IEEE Trans. Power Apparatus and Systems, vol. 98, no. 6, pp. 2308-2328, 1979.
[27] IEEE Working Group of the Synchronous Machinery Subcommittee, "Effects of switching network disturbances on turbine-generator shaft systems," IEEE Trans. Power Apparatus and Systems, vol. 101, no. 9, pp. 3151-3157, 1982.
[28] J. S. Joyce, T. Kulig, and D. Lambrecht, "Torsional fatigue of turbine-generator shafts caused by different electrical system faults and switching operations," IEEE Trans. Power Apparatus and Systems, vol. 97, no. 5, pp. 1865-1877, 1978.
[29] M. A. Masrur, A. K. Ayoub, and J. T. Tielking, "Studies on asynchronous operation of synchronous machines and related shaft torsional stresses," IEE Proc., Pt. C, vol. 138, no. 1, pp. 47-56, 1991.
[30] P. C. Krause, W. C. Hollopeter, D. M. Triezenberg, and P. A. Rusche, "Shaft torques during out of phase synchronization," IEEE Trans. Power Apparatus and Systems, vol. 96, no. 4, pp. 1318-1323, July/August 1977.
[31] J. V. Mitche, P. A. Rusche, "Shaft torsional stress due to asynchronous faulty synchronization," Paper F80 203-0, IEEE PES Winter Meeting, New York, February 3-8, 1980.
[32] C. J. Cudworth and J. R. Smith, "Steam turbine generator shaft torque transients: A comparison of simulated and test results," IEE Proc., Pt. C, vo1. 137, no. 5, pp. 327-334, 1990.
[33] A. J. Gonzalez, G. C. Kung, C. Raczkowski, C. W. Taylor and D. Thonn, "Effects of single- and three-pole switching and high-speed reclosing on turbogenerator shafts and blades," IEEE Trans. Power Apparatus and Systems, vol.103, no. 11, pp. 3218-3228, 1984.
[34] A. M. El-Serafi and S. O. Faried, "Effect of controlling the sequential interruption of a system fault on turbine-generator shaft torsional torques," IEEE Trans. Power Systems, vol. 6, no. 1, pp. 75-86, 1991.
[35] A. M. El-Serafi and S. O. Faried, "Effect of sequential reclosure of multi-phase system faults on turbine-generator shaft torsional torques," IEEE Trans. power systems, vol. 6, no. 4, pp. 1380-1388, November 1991.
[36] A. M. El-Serafi and S. O. Faried, "Effect of adaptive reclosing on turbine-generator shaft torsional torques," IEEE Trans. Power Systems, vol. 9, no. 4, pp. 1730-1736, 1994.
[37] T. P. Tsao and C. H. Lin, "Long term effect of power system unbalance on the corrosion fatigue life expenditure of low pressure turbine blades," IEE Proc. Science, Measurement and Technology, vol. 147, no. 5, pp. 229-236, September 2000.
[38] J. Arrillaga, N. R. Watson, S. Chen, Power system quality assessment, Chichester, New York, Wiley, 2000.
[39] J. Arrillaga, Power system harmonic analysis, Chichester, New York,Wiley, 1997
[40] Math H. J. Bollen, Understanding power quality problems: voltage sags and interruptions, New York, IEEE Press, 2000.
[41] P. C. Krause, Analysis of electric machinery, McGraw-Hill Inc., 1987.
[42] The Mathworks Inc., "Power System Blockset for Use with Simulink User's Guide,’ June 2001.
[43] G. D. Jennings, R. G. Harley, D. C. Levy, "Modal analysis representation of multi-inertia turbogenerators," Electrical Power System Research, vol. 8, no. l, pp. 53-58, 1985.
[44] J. H. Chow, S. H. Javid, J. J. Sanchez, C. E. J. Bowler, and J. S. Edmonds, "Torsional modal identification for turbine-generator," IEEE Trans. Energy Conversion, vol. 1, no. 4, pp. 83-91, 1986.
[45] T. J. Hammons, M. Istin, and A. Crocquevieille, "Analysis on continuum and reduced shaft models in evaluating turbine-generator shaft torsional response following severe disturbances on the system supply," Electric machines and power systems, vol. 13, no. 6, pp. 387-408,1987.
[46] H. R. Lin and G. M. Li, "The theory and experience of large-scale turbine," Institute of Nuclear Energy Research, Taiwan, pp. 3-19, 1992.
[47] S. Z. Wang, "The solution for turbine-mechanism vibration problems," Journal of Taipower's Engineering, vol. 511, pp. 52-55, 1991.
[48] Recommended Practice for Excitation System Models for Power System Stability Studies, IEEE Standard 421.5-1992, August 1992.
[49] R. Yacamini, "How HVDC schemes can excite torsional oscillations in turbo-alternator shafts," IEE Proc., Pt. C, vol. 133, no. 6, pp. 301-307, 1986.
[50] T. J. Hammons and J. J. Bremmer, "Stressing of turbine-generator-exciter shafts by variable-frequency currents superimposed on DC currents in asynchronous HVDC links and following disturbances at converter stations," IEEE Trans. Energy Conversion, vol. 9, no. 3, pp. 503-513, 1994.
[51] T. J. Hammons and J. J. Bremmer, "Torque in turbine-generator-exciter shafts due to DC currents in asynchronous HVDC links," Electric Machines and Power Systems, vol. 25, pp. 87-105, 1997.
[52] T. J. Hammons, B. W. Tay, and K. L. Kok, "Power links with Ireland -excitation of turbine-generator shaft torsional vibration by variable frequency currents superimposed on DC currents in asynchronous HVDC links," IEEE Trans. Power Systems, vol. 10, no. 3, pp. 1572-1579, 1995.
[53] T. J. Hammons and J. J. Bremner, "Analysis of variable-frequency currents superimposed on DC currents in asynchronous HVDC links in stressing turbine-generator-exciter shafts," IEEE Trans. Energy Conversion, vol. 10, no. 1, pp. 95-104, 1995.
[54] H. Fick, "Excitation of sub-synchronous torsional oscillations in turbine-generator sets by a current-source converter," Siemens Power Engineering Ⅳ, no. 2, pp. 83-86, 1986.
[55] A. Kurita, H. Konishi and H. Amano, "Verification of the mechanisms of torsional oscillation caused by the interactions between turbine-generator and HVDC power transmission systems," Electrical Engineering in Japan, vol. 108, no. 5, pp. 39-49, 1988.
[56] A. G. Phadke and J. H. Harlow, "Generation of abnormal harmonics in high voltage AC-DC power systems," IEEE Trans. Power Apparatus and Systems, vol. 87, pp. 873-883, 1968.
[57] R. Yacamini and J. C. De Oliveira, "Harmonics in multiple converter systems: a generalized approach," IEE Proc., Pt. B, vol. 127, no. 2, pp. 96-106, 1980.
[58] R. J. Placek, R. A. Williams, S. L. Adams, and O. Klufas, "Determination of torsional fatigue life of large turbine generator shafts,’ EPRI EL-3083, Project 1531-1, Final Report, 1984.
[59] R. A. Williams, S. L. Adams, R. J. Placek, O. Klufas, D. C. Gonyea, and D. K. Sharma, "A methodology for predicting torsional fatigue crack initiation in large turbine-generator shafts," IEEE Trans. Energy Conversion, vol. 1, no. 3, pp. 80-86, 1986.
[60] T. H. Topper, R. M. Wetzel, and J. Morrow, "Neuber’s rule applied to fatigue of notched specimens," Journal of materials, JMLSA, vol. 4, no. 1, pp. 200-209, March 1969.
[61] B. N. Leis, R. Rungta, S. Collard and P. Skulte, "Fatigue and fracture properties of steam turbine shaft materials," fracture mechanics: Fourteenth symposium—volume II: Testing and applications, ASTM STP 791, pp. II-101-II-119, 1983.
[62] M. C. Jackson, and S. D. Umans, "Turbine-generator shaft torque - Part III: Refinements to fatigue model and test results," IEEE Trans. Power Apparatus and Systems, vol. 99, no. 3, pp. 1259-1268, 1980.
[63] J. Arrillaga, High Voltage Direct Current Transmission, Peter Peregrinus, London, 1983.
[64] T. J. Hammons, "Electrical damping and its effect on accumulative fatigue life expenditure of turbine-generator shafts following worst-case supply system disturbances," IEEE Trans. Power Apparatus and Systems, vol. 102, no.6, pp. 1552-1563, 1983.
[65] J. R. Smith, J. F. Mykura, and C. J. Cudworth, "The effect of hysteretic damping of turbogenerator shaft torsional oscillations," IEEE Trans. Energy Conversion, vol. 1, no. 1, pp. 152-161, 1986.
[66] J. S. Joyce and D. Lambrecht, "Status of evaluating the fatigue of large steam turbine generators caused by electrical disturbances," IEEE Trans. Power Apparatus and Systems, vol. 99, no. 1, pp. 111-119, 1980.
[67] P. Kundur, Power system stability and control, McGraw-Hill Inc., 1993.
[68] I. M. Cankey, H. J. Rohrer, and K. E. Schnirel, "Effects of electrical disturbances, grid recovery voltage and generator inertia on maximization of mechanical torques in large turbogenerator sets," IEEE Trans. Power Apparatus and Systems, vol. 99, no. 4, pp. 1357-1370, 1980.
[69] CIGRE and IEEE Joint Task Force Report, "Guide for Planning DC links terminating at AC locations having low short-circuit capacities, Part I: AC/DC interaction phenomena,’ CIGRE publication 68, June 1992.
[70] N. E. Dowling, "Fatigue failure predictions for complicated stress-strain histories," Journal of metals, JMLSA, vol. 7, no. 1, pp. 71-87, March 1972.
[71] T. J. Hammons, "Effect of fault clearing and damper modeling on excitation and decay of vibrations in gerneator shafts following severe disturbances on the system supply," IEEE Trans. Energy Conversion, vol. 2, no. 2, pp. 308-320, June 1987.
[72] T. J. Hammons, "Accumulative fatigue life expenditure of turbine- generator shafts following worst-case system disturbances," IEEE Trans. Power Apparatus and Systems, vol. 101, no. 2, pp. 2364-2374, 1982.
[73] The Macmillan company, Analytical methods in vibrations, Collier- Macmillan Limited, London, 1967.
[74] Y. N. Yu, Electric Power System Dynamics, New York: Academic Press, 1983.
[75] P. M. Anderson, and A. A. Fouad, Power System Control and Stability, Iowa State University Press, Iowa, 1977.
[76] http://www.vulkanusa.com
[77] http://www.qmbearing.com
[78] http://www.geislinger.co.at
[79] P. M. Anderson, B. L. Agrawal, and J. E. Van Ness, Subsynchronous Resonance in Power System, The Institute of Electrical and Electronics Engineers, Inc., New York, 1990.
[80] D. Lambrecht and T. Kulig,, "Torsional performance of turbine generator shafts especially under resonant excitation," IEEE Trans. Power Apparatus and Systems, vol. 101, no.10, pp. 3689-3702, 1982.
[81] D. B. Giesner, J. Arrillaga, "Behavior of h.v.d.c. links under unbalanced a.c. fault conditions", Proc. IEE, vol. 119, no. 2, pp.209-215, 1972.
[82] Slow Transient Task Force of IEEE Working Group, "Modelling and analysis guidelines for slow transients. Part I. Torsional oscillations; transient torques; turbine blade vibrations; fast bus transfer," IEEE Trans. Power Delivery, vol. 10, no.4, 1995.
[83] B. L. Agrawal, and R. G. Farmer, "Use of frequency scanning techniques for subsynchronous resonance analysis," IEEE Trans. Power Apparatus and Systems, vol. 98, pp. 341-349, 1979.
[84] R. Bigret, C. J. Coetzee, D. C. Levy, and R. G. Harley, "Measuring the torsional modal frequencies of a 900 MW turbo-generator," IEEE Trans. Energy Conversion, vol. 1, no. 4, pp. 99-107, 1986.
[85] C. Raczkowski and G. C. Kung, "Turbine generator torsional frequencies, field reliability and testing," American power conference, Chicago, April 1978.
[86] D. G. Ramey, P. F. Harold, H. A. Maddox, R. B. Starnes and J. L. Knickerbocker, "Measurements of torsional dynamic characteristics of the san Juan no 2 turbine-generator" Transactions of the American society of mechanical engineers, engineering for power, vol. 99, no. 3, pp. 378-384, July 1977.
[87] G. Manchur and C. C. Erven, "Development of a model for predicting flicker from electric arc furnaces," IEEE Trans. Power Delivery, vol. 7, pp. 416-426, 1992.
[88] "New trend in supply problems of arc furnace for steel plants," Technol. Report Electrical Engineering Society, 1978, vol. 2, no. 72.
[89] B. Bhargave, "Arc furnace flicker measurements and control," IEEE Trans. Power Delivery, vol. 8, no. 1, pp. 400-410, 1993.
[90] G. Manchur and C. C. Erven, "Development of a model for predicting flicker from electric arc furnaces," IEEE Trans. Power Delivery, vol. 7, pp. 416-426, 1992.
[91] Chen, M. T., "Digital algorithms for measurement of voltage flicker," IEE Proc. Generation, Transmission and Distribution, vol. 144, no. 2, pp.175-180, March 1977.
[92] M. K. Walker, "Electric utility flicker limitations," IEEE. Trans. Industrial Applications, vol. 15, no. 6, pp. 644-655, 1979.
[93] J. J. Trageser, "Power usage and electrical circuit analysis for electric arc furnaces," IEEE Trans. Industry Applications, vol. 16, no. 2, pp. 277-284, 1980.
[94] C. D. Rogers, "Simulation of arc furnace power systems," IEEE Trans. Industry Applications, vol. 16, no. 6, pp. 813-818, 1980.
[95] C. K. Tang, "Modeling of large nonlinear loads and thyristor controlled shunt compensators," IEE Proc., Pt. C, vol. 138, no. 6, pp. 505-517, 1990.
[96] M. D. Cox and A. Mirbod, "A new static var compensator for an arc furnace," IEEE Trans. Power Systems, vol. 1, no. 3, 1986.
[97] G. Gueth, P. Enstedt, A. Rey, and R. W. Menzies, "Individual phase control of a static compensator for load compensation and voltage balancing and regulation," IEEE Trans. Power Systems, vol. 2, no. 4, pp. 898-904, 1987.
[98] J. C. Chiang, Y. F. Hsu, C. C. Chang, "Power Quality Survey in Taiwan Power System," Journal of Taipower's Engineering, vol. 638, pp.89-121, Oct, 2001.
[99] E. Q. Brigham, The Fast Fourier Transform and Its Applications, Prentice-Hall International, Inc., 1988.
[100] P. De Regge and K. De Ranter, "Radioactivity and corrosion product concentration during the normal operation revision shutdown of a 900MW PWR-Dole 3, " JAIF International conference on water chemistry in nuclear power plants, vol. 1, pp.175, Tokyo, Japan, 1988.
[101] W. G. Steltz, P. K. Lee and W. T. Lindsay, "The verification of concentrated impurities in low pressure steam turbine," Aero-thermo-dynamics of Steam Turbine, ASME Winter Annual Meeting, November 1981.
[102] W. T. Lindsey, "Behavior of impurities in steam turbine," Power Engineering, vol. 83, no. 5, pp. 68-72, 1979.
[103] R. P. Dewey and N. F. Rieger, "Survey of steam turbine blade failures 1970-1981," EPRI CS-3891, March 1985.
[104] "Investigation results of the blade failure on L-1 stage unit l," Mitsubishi heavy industries, LTD, Jan. 20, 1996.
[105] "Steam turbine disc cracking experience, volume 1: literature and field survey," EPRI NP-2429-LD, vol.1, Project 1398-5, Final Report, June 1982.
[106] "Steam turbine disc cracking experience, Volume 2: data summaries and discussion," EPRI NP-2429, vol. 2, Project 1398-5, Final Report, June1982.
[107] M. S. Yu, S. C. Lin and L. F. Lin, "The metallurgical analysis on the fractured L-2 turbine blade of Chinshan nuclear power plant," Institute of Nuclear Energy Research, Taiwan, August 10, 1992.
[108] "Metallurgical analysis of rim cracking in an LP steam turbine disc," EPRI NP-532, Project 1398-1, Final Report, September 1980.
[109] G. V. Smith, "Evaluation of the elevated temperature tensile and creep-rupture properties of 0.5Cr-0.5Mo, and 1.25Cr-0.5Mo steels," ASTM, Philadelphia, Pennsylvania, 1971.
[110] G. V. Smith, "Supplemental report on the elevated temperature properties of Cr- Mo steels (An evaluation of 2.25Cr-1Mo steel)," DS6S2, ASTM, Philadelphia Pennsylvania, 1971.
[111] E. A. Neppiras, "Techniques and equipment for fatigue testing at very high frequencies," ASTM 59, pp. 691-710, 1959.
[112] L. E. Willertz, T. M. Rust and V. P. Swaminathan, "High cycle corrosion fatigue of some turbine blade alloys," EPRI Workshop on corrosion fatigue of steam turbine blade materials, Palo alto, CA, September 1981.
[113] R. C. Bates, J. W. Cunningham and R. I. Jaffee, "Corrosion fatigue of steam turbine blading alloys in operational environment," Joint Power Generation Conference, Denver, Colorado, October 10-13, 1982.
[114] R. E. Warner, J. P. Thomas, T. M. Rust, and R. I. Jaffee, "Titanium steam turbine blading for improved reliability," The 48th Annual Meeting of the American Power Conference, Chicago, April 14-16, 1986.
[115] J. C. Neuman and I. S. Raju, "An empirical stress intensity factor equation for the surface crack," Engineering Fracture Mechanics, vol. 15, pp.185-192, 1981.
[116] O. Jonas, "Characterization of steam turbine environment and selection of test environment," EPRI workshop on corrosion fatigue of steam turbine blade materials, Palo alto, CA, September 1981.
[117] R. C. Bates, "Corrosion of steam turbine blading materials in operational environment," EPRI CS-2932, September 1984.
[118] Research Report, Analysis of flicker from arc furnaces, Ontario Hydro, Toronto, Ontario, 1983
[119] Taiwan Power Company, Voltage flicker temporary limitation standard, Taiwan Power Company, 1995.
[120] J. D. Lavers, M. A. Sc. and B. Danai., "Statistical analysis of electric ac furnace parameter variations," IEE Proc., Pt. C, vol.132, no.2, pp.82-92 1985.
[121] C. Mirra and P. G. Kendall, "An international study of flicker," CIRED, 10th International Conference on Electricity Distribution, vol. 2, no. 305, pp. 97-101, 1989.
[122] "Taiwan iron and steel in 2001," Taiwan steel trade union, 2001.
[123] C. J. Wu, W. N. Chang, C. N. Cheng, C. H. Li, T. Y. Guo, "Enhancement of static excitation system performance for generators near electric arc furnace loads," IEEE Trans. Energy Conversion, vol. 14, no. 2, pp. 225-231, 1999.
[124] C. J. Wu, S. S. Yen, T. Z. Guo, C. P. Huang, Y. S. Chuang and J. Wang, "Testing and assessing the dynamic performance of synchronous generator with digital excitation control system," Journal of Taipower's Engineering, vol. 642, pp. 51-62, 2002.
[125] S. O. Faried, A. M. Serafi, "Effect of HVDC converter station faults on turbine-generator shaft torsional torques," IEEE Trans. Power Systems, vol. 12, no. 2, 1997.
[126] Y. N. Wang, J. C. Gu and C. M. Chen, "Analysis of the torsional vibration of an induction motor supplied by distorted voltage sources," Journal of the Chinese Institute of Electrical Engineering, vol. 6, no. 2, pp. 87-97, 1999.
[127] J. C. Chiang, Professional in power quality, Taiwan, 2000.