Diagonally implicit and explicit Euler’s methods for RLC circuit

Abstract

This paper integrates the intuitive look at the natural responses of Euler's components with inductors, capacitors and resistors (RLC circuits). Within these components, the current-voltage relationship is modeled by differential equations (according to Euler's implicit and explicit), and we analyzed computational methods for simulating RLC circuits.  This computational method leads the application of higher-order diagonally implicit and explicit Euler methods to an RLC circuit (static as well as dynamic circuit solving strategies) in the presence and absence of equilibrium. Typically, existing numerical methods for RLC circuits have accuracy in the first or second order. Our high order method allows larger time steps, which are critical and damped when large circuits are simulated over a significant period of time and phase angles.