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Sinusoidal Pulse Generator (SPG) Model

A mathematical model used to approximate the output voltage waveform as a series of discrete, high-frequency pulses, simplifying the analysis of the inverter's fundamental frequency components.
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The statement of the theorem

The Sinusoidal Pulse Generator (SPG) model approximates the output voltage vout(t)v_{out}(t) as a series of high-frequency rectangular pulses. For a fundamental frequency ω\omega and carrier frequency ωsw\omega_{sw}, the model can be represented by the Fourier series expansion: vout(t)≈Vdc∑h=1∞1hsin⁡(hωt)⋅(1−1h∣sin⁡(hωsw2Tsw)∣) v_{out}(t) \approx V_{dc} \sum_{h=1}^{\infty} \frac{1}{h} \sin(h \omega t) \cdot \left(1 - \frac{1}{h} \left| \sin(\frac{h \omega_{sw}}{2} T_{sw}) \right| \right) This formulation simplifies the analysis by treating the output as a superposition of harmonic components derived from the pulse shape.