Abstract：It is difficult to apply natural-sampled harmonic-injection SPWM (HISPWM) method in digital real-time control because its switch-points are expressed in transcendental equations. This paper tries to deduce the analytical expression of the third harmonic injection SPWM’s switch- points by inverse operator method, and gives the precision analysis examples for the analytical solutions of natural-sampled HISPWM’s switchpoints at different carrier ratio. The results show the switch-points can be expressed in a series of adomian polynomials. The precision of HISPWM switch-points is depended on how many adomian polynomial terms are used in the calculation, which provide theoretical basis for the application of HISPWM efficiently in practice.
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