Electrical Transients Assessment Based on Recording the State Variables Derivatives
(*) Corresponding author
The modern approach to assessing transients in electrical systems involves the employment of numerical integration methods to solve the state-space models for the various initial conditions. The results are provided to the system analysts as time domain representations of state variables and of any other quantity given as closed-form expression in terms of state variables. However, to accurately assess the transient response and to predict the final state of the system under study, the system analysts have to access huge files encompassing the data corresponding to a numerical integration performed over a very large time interval. To facilitate the transient performance analysis and the prediction of the system final state, alongside the representation in the time domain, the present paper puts forward the assessment by employing coordinate systems in two dimensions with the coordinates represented by pairs of state variables derivatives. The proposed approach requires software development having in view that the commonly used environments do not provide access to the values of state variables derivatives received during numerical integration. However, we consider that implementing a procedure of real-time recording the state variables derivatives is a plain task since exactly the time-related derivatives of selected state variables are used by the integrators to make a step forward i.e. to update the state variables.
Copyright © 2015 Praise Worthy Prize - All rights reserved.
T. Noda, K. Takenaka, and T. Inoue, Numerical Integration by the 2-Stage Diagonally Implicit Runge-Kutta Method for Electromagnetic Transient Simulations, IEEE Transactions on Power Delivery, Vol. 24(Issue 1):390-399, January 2009.
W.H. Enright, Software for Ordinary and Delay Differential Equations: Accurate Discrete Approximate Solutions Are Not Enough, Applied Numerical Mathematics, Vol. 56(Issues 3-4):459-471, March-April 2006.
G. Soderlind, L. Wang, Evaluating numerical ODE/DAE methods, algorithms and software, Journal of Computational and Applied Mathematics, Vol. 185(Issue 2):244-260, January 2006.
J.C. Butcher, Numerical Methods for Ordinary Differential Equations in the 20th Century, Journal of Computational and Applied Mathematics, Vol. 125(Issues 1-2):1-29, December 2000.
U.M. Ascher, L.R. Petzold, Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations (Society for Industrial and Applied Mathematics, 1998).
T.E. Hull, W.H. Enright, B.M. Fellen, and A.E. Sedgwick, Comparing numerical methods for ordinary differential equations, SIAM Journal on Numerical Analysis, Vol. 9(Issue 4):603-637, 1972.
L. Lupsa-Tataru, Procedure of Assessing the Electrical Transients with a View to Relative Extrema Localization, Journal of Computations & Modelling, Vol. 3(Issue 4):263-285, December 2013.
Radha Rani, K., Amarnath, J., Kamakshaiah, S., Transient stability and contingency analysis of power system in deregulated environment, (2011) International Review on Modelling and Simulations (IREMOS), 4 (3), pp. 1257-1265.
Lupsa-Tataru, L., Power generators transient fault analysis by repeated time domain numerical integrations, (2011) International Review on Modelling and Simulations (IREMOS), 4 (3), pp. 1270-1278.
N. Watson, J. Arrillaga, Power Systems Electromagnetic Transients Simulation (The Institution of Electrical Engineers, 2003).
N. Bijl, L. Der Van Sluis, New approach to the calculation of electrical transients, Part I: Theory, European Transactions on Electrical Power, Vol. 8(Issue 3):175-179, May/June 1998.
N. Bijl, L. Der Van Sluis, New approach to the calculation of electrical transients, Part II: Applications, European Transactions on Electrical Power, Vol. 8(Issue 3):181-186, May/June 1998.
J. Mahseredjian, G. Benmouyal, X. Lombard, M. Zouiti, B. Bressac, and L. Gerin-Lajoie, A link between EMTP and MATLAB for user-defined modeling, IEEE Transactions on Power Delivery, Vol. 13(Issue 2):667-674, April 1998.
A. Greenwood, Electrical Transients in Power Systems, 2nd edition (John Wiley and Sons, 1991).
Lupsa-Tataru, L., Depicting electrical systems dynamics by means of various cartesian planes, (2014) International Review on Modelling and Simulations (IREMOS), 7 (5), pp. 878-883.
J. Milnor, On the Concept of Attractor, Communications in Mathematical Physics, Vol. 99(Issue 2):177-195, 1985.
L. Lupsa-Tataru, Visualization Technique for Real-Time Detecting the Characteristic Quantities Critical Values During Electrical Transient Episodes, Journal of Computations & Modelling, Vol. 4(Issue 2):127-150, May 2014.
Gruhonjic Ferhatbegovic, S., Single Phase Fault Location in Distribution Networks Based on Charge Transients, (2015) International Review of Electrical Engineering (IREE), 10 (1), pp. 71-78.
E. Haginomori, S. Ohtsuka, Sudden Short Circuiting of Synchronous Machines by EMTP, Electrical Engineering in Japan, Vol. 146(Issue 1):78-88, January 2004.
A. Berizzi, S. Massucco, A. Silvestri, and D. Zaninelli, Short-Circuit Calculation: A Comparison Between IEC and ANSI Standards Using Dynamic Simulation as Reference, IEEE Transactions on Industry Applications, Vol. 30(Issue 4):1099-1106, July/August 1994
F. Castelli-Dezza, A. Silvestri, and D. Zaninelli, The IEC 909 Standard and Dynamic Simulation of Short-Circuit Currents, European Transactions on Electrical Power Engineering, Vol. 4(Issue 3):213-221, May/June 1994.
M. Van Canneyt, M. Gärtner, S. Heinig, F. Monteiro de Cavalho, and I. Ouedraogo, Lazarus. The Complete Guide (ProPascal Foundation, www.blaisepascal.eu, www.lazarus-ide.org, 2011)
M. Van Canneyt, Run-Time Library (RTL): Reference Guide. Free Pascal Version 2.6.4: Reference Guide for RTL Units, Document version 2.6 (www.freepascal.org, February 2014)
I. Boldea, The Electric Generators Handbook: Synchronous Generators (CRC Press, 2006).
R. Abraham, C.D. Shaw, Dynamics: The Geometry of Behavior (Addison-Wesley, 1992).
- There are currently no refbacks.
Please send any question about this web site to email@example.com
Copyright © 2005-2022 Praise Worthy Prize