Implementation of Runge Kutta method of order 4 in RLC circuits

This paper describes a novel method of implementing Runge Kutta method of order 4 into RLC circuits. Differential equations solutions were classified and embedded like past and intermediate, intermediate and present and present and past are estimated simultaneously. Further we compared a mathematica...

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Bibliographic Details
Main Authors: Malarvizhi, M., Karunanithi, S.
Format: Conference Proceeding
Language:English
Subjects:
Circuits
Differential equations
Mathematical models
RLC circuits
Runge-Kutta method
Transient response
Truncation errors
Online Access:Get full text
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Summary:This paper describes a novel method of implementing Runge Kutta method of order 4 into RLC circuits. Differential equations solutions were classified and embedded like past and intermediate, intermediate and present and present and past are estimated simultaneously. Further we compared a mathematical (numerical) model of Heun, Improved Euler’s, Nystrom and Runge Kutta method of order 4. We compared these methods with general and classical method and among these methods we identified the optimal method of constructing RLC Circuit with higher order accuracy. Schematic procedure of proposed Runge Kutta method of order 4 is presented. Numerical simulation (demonstrated through MATLAB) and roundoff and truncation error along with array interpretation (Butcher) and representation of RK method of order 4 against circuits is obtained. The convenient way to construct the circuit is examined through Runge Kutta method of order 4. Applying Runge Kutta method of order 4 in RLC circuit simplifies the static circuit according to its time step, and is explored like exponentially decaying terms are termed as transient responses and sinusoidal terms termed as steady state responses.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0147733