Volume 9, Issue 10 (October 2022), Pages: 174-179

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 Technical Note

 Numerical higher-order Runge-Kutta methods in transient and damping analysis

 Author(s): A. G. Shaikh ^1, *, U. Keerio ², Wajid Shaikh ³, A. H. Sheikh ⁴

 Affiliation(s):

 ¹Department of BS & RS, QUEST, Nawabshah, Pakistan
 ²Department of Electrical Engineering, QUEST, Nawabshah, Pakistan
 ³Department of Mathematics & Statistics, QUEST, Nawabshah, Pakistan
 ⁴Institute of Business Management (IOB), Karachi, Pakistan

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0001-7367-993X

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2022.10.020

 Abstract:

Transient analysis of an RLC circuit (or LCR circuit) comprising of a resistor, an inductor, and a capacitor are analyzed. Kirchhoff’s voltage and current laws were used to generate equations for voltages and currents across the elements in an RLC circuit. From Kirchhoff’s law, the resulting first-order and second-order differential equations, The different higher-order Runge-Kutta methods are applied with MATLAB simulations to check how changes in resistance affect transient which is transitory bursts of energy induced upon power, data, or communication lines; characterized by extremely high voltages that drive tremendous amounts of current into an electrical circuit for a few millionths, up to a few thousandths, of a second, and are very sensitive as well important their critical and careful analysis is also very important. The Runge-Kutta 5^th and Runge-Kutta 8^th order methods are applied to get nearer exact solutions and the numerical results are presented to illustrate the robustness and competency of the different higher-order Runge-Kutta methods in terms of accuracy.

 © 2022 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: RLC circuit, Numerical methods, Runge-Kutta, MATLAB, Damping

 Article History: Received 23 July 2021, Received in revised form 31 January 2022, Accepted 18 July 2022

 Acknowledgment 

No Acknowledgment.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Shaikh AG, Keerio U, and Shaikh W et al. (2022). Numerical higher-order Runge-Kutta methods in transient and damping analysis. International Journal of Advanced and Applied Sciences, 9(10): 174-179

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 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 Fig. 5

 Tables

 Table 1 Table 2 Table 3 Table 4 Table 5

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