Numerical Analysis Of Transient Analysis Of RLC Circuit Under AC Supply

Kamaruddin, Mohd Syahril Amri (2018) Numerical Analysis Of Transient Analysis Of RLC Circuit Under AC Supply. Project Report. Universiti Teknikal Malaysia Melaka, Melaka, Malaysia. (Submitted)

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Abstract

The objective of this project is to analyze the transient analysis of transient response in RLC electric circuit under Alternate Current (AC) supply by using numerical method.Transient analysis is the analyzation of transient response in an electric circuit.The purpose of transient analysis is to measure the performance of the electric circuit.This motivates us to provide alternative solution in obtaining transient analysis by using numerical analysis.Transient response is occurred when there were voltage and current change suddenly that may cause damage to electrical component and instrument in the circuit.In order to obtain the transient analysis,analytical method and numerical method are used to solve the second order ordinary differential equation that is derived from series RLC circuit.Meanwhile,transient response is a response of a system from equilibrium state to steady state.Analytical method is commonly used in obtaining transient analysis however it use more computational time and require expertise in mathematic knowledge.The numerical methods discussed in this project are Trapezoidal method,Euler method and Runge-Kutta method. The advantage and disadvantage of each method are then being discussed.The Fourth-Order Runge-Kutta was selected because it produces high accuracy result.The results of transient analysis obtained are plotted in MATLAB software.The numerical analysis method results are then being compared with analytical solution.In chapter 4,the Fourth-Order Runge-Kutta is a highly accurate method in predicting the transient response.At the end of this report,the conclusion can be made was Fourth-Order Runge-Kutta method produce 99% accuracy and the highest error obtained is 0.0352%.This make Fourth-Order Runge-Kutta is convenient method in obtaining the transient response.

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