Mathematical Model of SPWM Voltage Source Inverter

A SPWM Voltage Source Inverter is an electronic device that converts DC voltage to AC voltage. Its mathematical model comprises a set of equations capable of directly generating waveforms. These equations are derived from modeling the internal circuit components of the inverter while accounting for interactions between them. When input voltage or load conditions change, the equation set enables calculation of output voltage and current variations. In practical implementation, this model can be programmed using numerical computation tools (e.g., MATLAB/Simulink) where key components like IGBT switches and LC filters are represented through state-space equations. The core algorithm involves sinusoidal pulse width modulation (SPWM) techniques, typically implemented via carrier-comparison methods where a high-frequency triangular carrier wave is compared with sinusoidal reference signals to generate switching pulses. Consequently, SPWM voltage source inverters are widely adopted in applications including solar power generation systems and AC motor drives due to their precise voltage control and harmonic reduction capabilities.