IMPROVING TIME INTEGRATION SCHEME FOR FET ANALYSIS OF POWER SYSTEM ANGLE STABILITY

Marin Mandić, Ivica Jurić-Grgić, Nedjeljka Grulović-Plavljanić

DOI Number
10.2298/FUEE2001119M
First page
119
Last page
131

Abstract


This paper presents improved algorithm for numerical analysis of power system angle stability achieved by improvement of the time integration when forming a local system of equations for power system finite elements (FE). Previously developed local system of equations of power system angle stability has been obtained using the generalized trapezoidal rule (ϑ - method). Improvement of accuracy was obtained by using Heun's method. Numerical solutions obtained using Heun’s method and using the generalized trapezoidal rule are compared to Electromagnetic Transients Program (EMTP). It has been shown that Heun’s method yields the results with much higher accuracy comparing to results obtained by generalized trapezoidal rule.

Keywords

Heun’s method, finite element technique, angle stability, time domain analysis.

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References


Z. de Souza, L. Bil, "Unified computational tool for transient and long‐term stability studies", IET Gener Transm Distrib, vol. 3, no.2, pp. 173‐181, 2009.

S. Henschel, Analysis of electromagnetic und electromechanical power system transients with dynamic phasors, Ph.D. dissertation, University of British Colombia, 1999.

V. Venkatasubramanian, "Tools for dynamic analysis of the general large power system using time-varying phasors", International Journal of Electrical Power and Energy Systems, vol. 16, no. 6, pp. 365-376, 1994.

T. Odun-Ayo, M.L. Crow, "An analysis of power system transient stability using stochastic energy functions", International Transactions on Electrical Energy Systems, vol. 23, no. 2, pp. 151-165, 2013.

R. Adapa, J. Reeve, "A new approach to dynamic analysis of AC networks incorporating detailed modeling of DC systems. II. Application to interaction of DC and weak AC systems", IEEE Transactions on Power Delivery, vol. 3, no. 4, pp. 2012-2019, 1988.

M.R. Zarate, C.T. Van, M. Federico, J. Conejo Antonio, "Securing transient stability using time-domain simulations within an optimal power flow", IEEE Trans Power System., vol. 25, no. 1, pp. 243‐253, 2010.

B.Y. Bagde, B.S. Umre, K.R. Dhenuvakonda, "An efficient transient stability‐constrained optimal power flow using biogeography‐based algorithm", International Transactions on Electrical Energy Systems, vol. 28, no. 1, e2467, 2018.

I . Jurić-Grgić, N . Grulović-Plavljanić, M. Dabro, "An Analysis of Power System Transient Stability Using Finite Element Technique", International Transactions on Electrical Energy Systems, vol. 29, no. 1, e2647. 2019

O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method, McGraw-Hill: Vol 1, London, UK, 1989.

O.C. Zienkiewicz, K. Morgan, Finite Elements and Approximation, John Willey & Sons: New York, USA, 1983.

S.C. Chapra, R.C. Canale, Numerical Methods for Engineers (7th Edition), McGraw-Hill: New York, 2015.

J. Arrillaga, C.P. Arnold, B.J. Harker, Computer Modelling of Electrical Power Systems. John Wiley and Sons: New York, USA, 1983.

J. Arrillaga, C.P. Arnold, Computer Analysis of Power Systems. John Wiley and Sons: New York, USA, 1990.

M. Dabro, I. Jurić-Grgić, R. Lucić, "EMTP-RV Model of Hydraulic Digital Governor", International Review on Modelling and Simulations, vol. 4, no. 6, pp. 1-5, 2011.

IEEE Standard 421.5-2016: Recommended Practice for Excitation System Models for Power System Stability Studies, 2016.


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