RK–Butcher algorithms for singular system-based electronic circuit

Abstract

In this paper, a new method of analysis for a singular system-based electronic circuits using the Runge–Kutta (RK)–Butcher algorithm is presented for linear time-invariant and time-varying cases. The discrete solutions obtained using the RK–Butcher algorithms are compared with the exact solutions of the electronic circuit problem and are found to be very accurate. Stability regions for the Single term walsh series method and the RK–Butcher algorithms are presented. Error graphs for inductor currents and capacitor voltages are presented in a graphical form to show the efficiency of this method. This RK–Butcher algorithm can be easily implemented in a digital computer and the solution can be obtained for any length of time.

Keywords:

• singular systems
• single term Walsh series
• electronic circuit
• RK–butcher algorithm

CCS Category :

• G.1.7