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Companion harmonic circuit models for transient studies

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Abstract

This paper presents a methodology that combines the dynamic harmonic domain analysis and discrete companion circuit modeling resulting in a powerful analytic technique, called companion harmonic circuit modeling. This new approach provides a complete method for dynamic harmonic analysis of electric circuits, preserving the advantages of discrete companion circuit models and harmonic analysis, resulting in an accurate steady state initialization and transient analysis method. An illustrative electric system will be used to show power of the proposed technique.

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Abbreviations

DHD:

Dynamic harmonic domain

SSI:

Steady state initialization

CHCM:

Companion harmonic circuit models

ETA:

Electromagnetic transient analysis

EMTP:

Electromagnetic transients program

CDA:

Critical damping adjustment

References

  1. Chua LO, Lin PM (1975) Computer-aided analysis of electronic circuits, algorithms and computational techniques. Prentice Hall, Upper Saddle River

    MATH  Google Scholar 

  2. Dommel HW (1978) Electro-magnetic transient program (EMTP) theory book

  3. Lina KL, Noda T (2010) A time-domain harmonic power-flow algorithm for obtaining nonsinusoidal steady-state solution. IEEE Trans Power Deliv 25(3): 1888–1898

    Article  Google Scholar 

  4. Jalili-Marandi V, Dinavahi V, Strunz K, Martinez JA, Ramirez A (2009) Interfacing techniques for transient stability and electromagnetic transient programs. IEEE Trans Power Deliv 24(4): 2385–2395

    Article  Google Scholar 

  5. Dommel HW, Yan A, Wei S (1986) Harmonics from transformer saturation. IEEE Trans Power Syst PWRD-1(2): 209–215

    Google Scholar 

  6. Perkins BK, Martí JR, Dommel HW (1995) Nonlinear elements in the EMTP: steady-state initialization. IEEE Trans Power Deliv 10(2): 593–601

    Article  Google Scholar 

  7. Lombard X, Mahseredjian J, Lefebvre S, Kieny C (1995) Implementation of a new harmonic initialization method in the EMTP. IEEE Trans Power Deliv 10(3): 1343–1352

    Article  Google Scholar 

  8. Murere G, Lefevre S, Do XD (1995) A generalized harmonic balance method for EMTP initialization. IEEE Trans Power Deliv 10(3): 1353–1359

    Article  Google Scholar 

  9. Noda T, Nagaoka N, Ametani A (1997) Further improvement to a phase-domain ARMA line model in terms of convolution, steady-state initialization, and stability. IEEE Trans Power Deliv 12(3): 1327–1334

    Article  Google Scholar 

  10. Lima LTG, Semlyen A, Iravani MR (2003) Harmonic domain periodic steady state modeling of power electronics apparatus: SVC and TCSC. IEEE Trans Power Deliv 18(3): 960–967

    Article  Google Scholar 

  11. Noda T, Semlyen A, Iravani R (2003) Harmonic domain dynamic transfer function of a nonlinear time-periodic network. IEEE Trans Power Deliv 18(4): 1433–1441

    Article  Google Scholar 

  12. Noda T, Semlyen A, Iravani R (2004) Entirely harmonic domain calculation of multiphase nonsinusoidal steady state. IEEE Trans Power Deliv 19(3): 1368–1377

    Article  Google Scholar 

  13. Ramirez A (2009) Frequency-domain computation of steady and dynamic states including nonlinear elements. IEEE Trans Power Deliv 24(3): 1609–1615

    Article  Google Scholar 

  14. Acha E, Madrigal M (2001) Power systems analysis: computer modelling and analysis. Wiley, New York

    Google Scholar 

  15. Rico JJ, Madrigal M, Acha E (2003) Dynamic harmonic evolution using the extended harmonic domain. IEEE Trans Power Deliv 18(2): 589–594

    Article  Google Scholar 

  16. Madrigal M, Rico JJ (2004) Operational matrices for the analysis of periodic dynamic systems. IEEE Trans Power Syst 19: 1693–1695

    Article  Google Scholar 

  17. Madrigal M, Rico JJ (2006) Analytical method for calculating steady-state initial value conditions of dynamic periodic networks with nonlinear components. Taylor & Francis Trans Electric Power Compon Syst 34: 1331–1347

    Article  Google Scholar 

  18. Krein PT, Bentsman J, Bass RM, Lesieutre BL (1990) On the use of averaging for the analysis of power electronic systems. IEEE Trans Power Electron 5: 182–190

    Article  Google Scholar 

  19. Sanders SR, Noworolski JM, Lui XZ, Verghese GC (1991) Generalized averaging method for power conversion circuits. IEEE Trans Power Electron 6: 251–259

    Article  Google Scholar 

  20. Caliskan VA, Verghese GC, Stankovic AM (1999) Multifrequency averaging of DC/DC converters. IEEE Trans Power Electron 14: 124–133

    Article  Google Scholar 

  21. Banerjee S, Verghese GC (2001) Nonlinear phenomena in power electronics. IEEE Press, New York

    Book  Google Scholar 

  22. Stankovic AM, Aydin T (2000) Analysis of asymmetrical faults in power systems using dynamic phasors. IEEE Trans Power Syst 15: 1062–1086

    Article  Google Scholar 

  23. Stankovic AM, Mattavelli P, Caliskan V, Verghese GC (2000) Modeling and analysis of FACTS devices with dynamic phasors. In: Proc IEEE Power Eng Soc, Winter Meeting, vol 2, Singapore, 23–27 Jan 2000, pp 1440–1446

  24. Martí JR, Lin J (1989) Suppression of numerical oscillations in the EMTP. IEEE Trans Power Deliv 18(2): 739–747

    Google Scholar 

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Authors and Affiliations

  1. Department of Electrical Engineering, Instituto Tecnologico de Morelia, Morelia, Mexico

    H. Garcia & M. Madrigal

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  1. H. Garcia
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  2. M. Madrigal
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Correspondence to H. Garcia.

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Garcia, H., Madrigal, M. Companion harmonic circuit models for transient studies. Electr Eng 95, 43–51 (2013). https://doi.org/10.1007/s00202-012-0239-5

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  • DOI: https://doi.org/10.1007/s00202-012-0239-5

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