Modal Sensitivity Analysis for Series Harmonic Resonance in Power System

Abstract:

Harmonic resonance is composed of series and parallel harmonic resonance. It is closely related to the singularity of a network loop impedance matrix or node admittance matrix. It was found that such resonance phenomenon is associated with the singularity of the network matrix. The smallest eigenvalue of the matrix defines the mode of series harmonic resonance. This paper applies this eigenvalue theory and modal sensitivity analysis method to determine which network components contribute significantly to a series harmonic resonance phenomenon. Case study results further confirm the theoretical correctness and effectiveness. Thus, this practical method not only provides significant measures for series harmonic resonance manage, but also support theoretical and experimental bases for the component parameter design.

• Periodical: Applied Mechanics and Materials (Volumes 128-129)
• Pages: 1163-1167
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.128-129.1163
• Online since: October 2011
• Authors: Cai Xia Yang, Kai Pei Liu, Dong Xu Wang, Da Lu Li, Kai Yu Wang
• Keywords: Modal Analysis, Modal Sensitivity, Network Component, Series Harmonic Resonance

References

[1] Bakar M I A. Assessments for the impact of harmonic current distortion of non linear load in power system harmonics[C]. in Transmission and Distribution Conference and Exposition: Latin America, 2008 IEEE/PES, 2008, pp.1-6.

DOI: 10.1109/tdc-la.2008.4641724

[2] Chang G W. Characterizing harmonic currents generated by fluorescent lamps in harmonic domain[J]. IEEE Transactions on Power Delivery, 2003, 18(4): 1583-1585.

DOI: 10.1109/tpwrd.2003.817519

[3] Dugan R C, Santoso S, McGranaghan M F, et al. Electrical Power Systems Quality[M]. McGraw-Hill, New York, (1996).

[4] Johnson J R. Managing harmonics and resonance with active harmonic filters in an offshore ring main oil field[C]. in Harmonics and Quality of Power, 2008. ICHQP 2008. 13th International Conference on, 2008, pp.1-8.

DOI: 10.1109/ichqp.2008.4668749

[5] Huang Z Y, Xu W and Dinavahi V R. A Practical Harmonic Resonance Guideline for Shunt Capacitor Applications[J]. IEEE Transaction on Power Delivery, 2003, 18(4): 1382-1387.

DOI: 10.1109/tpwrd.2003.817726

[6] Gao B, Morison G K and Kundur P. Voltage Stability Evaluation Using Modal Analysis[J]. IEEE Transaction on Power Systems, 1992, 7(4): 1529-1542.

DOI: 10.1109/59.207377

[7] Xu Wenyuan, Zhang Dahai. A modal analysis method for harmonic resonance assessment[J]. Proceedings of the CSEE, 2005, 25(22): 89-93. (in Chinese).

[8] Xu W, Huang Z, Cui Y, et al. Harmonic Resonance Mode Analysis, IEEE Transaction on Power Delivery, 2005, 20(2): 1182-1190.

DOI: 10.1109/tpwrd.2004.834856

[9] Yang Caixia, Liu Kaipei, Wang Dongxu. A Loop Modal Analysis Method for Series Harmonic Resonance Assessment[J]. High Voltage Engineering, 2008, 34(11): 2459-2462. (in Chinese).

DOI: 10.1109/icit.2008.4608385

[10] Gamm A Z, Golub I I, Bachry A. et al. Solving Several Problems of Power Systems Using Spectral and Singular Analyses[J]. IEEE Transaction on Power Systems, Feb, 2005, 20(1): 138-148.

DOI: 10.1109/tpwrs.2004.835658

[11] Gamm A Z , Golub I I. Application of Singular Analysis to Operating Reliability of Electric Power Systems[C]. In Proc. 1997 Int. Scientific Conf. APE, Jurata, Poland, pp: 193-201.

[12] Bellman R. Introduction to Matrix Analysis[M], 2nd ed. New York: McGraw-Hill, (1970).

[13] Huang Z, Cui Y, and Xu W. Application of Modal Sensitivity for Power System Harmonic Resonance Analysis[J]. IEEE Transaction on Power Systems, 2007, 22(2): 222-231.

DOI: 10.1109/tpwrs.2006.883678

[14] IEEE Recommended Practice and Requirements for Harmonic Control in Electric Power Systems[S], IEEE Std. 519-1993, IEEE, New York, (1993).