Time-Domain Analysis of PWM Inverters

TL;DR

This paper presents a method for analyzing PWM inverter outputs in the time domain by solving linear algebraic equations, providing explicit voltage and current expressions for various load circuits.

Contribution

It introduces a simplified analytical approach for time-domain analysis of PWM inverters applicable to any linear load circuit.

Findings

Explicit formulas for inverter output voltages and currents derived

Method applicable to second, third, and higher-order circuits

Analysis reduces to solving linear algebraic equations

Abstract

The time-domain analysis of pulse width modulated (PWM) single-phase inverters is presented for different load circuits. It is demonstrated that this analysis can be reduced to the solution of linear simultaneous algebraic equations with two diagonal matrices. Analytical solutions of such equations are easily found which leads to the explicit expressions for the output voltages and currents in terms of switching time-instants. This technique is presented for second and third order circuits, however it can be used in principle for any higher-order linear load circuit subject to pulse width modulated voltages.