  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.
