It is difficult to measure the voltage, current and power for induction motor under non-sinusoidal power supply, and this results in distortion of the wave of voltage and current which includes many harmonics.

The method that the complex mapping connection among voltage,current,power factor and rotation speed for induction motor under non-sinusoidal power supply are simulated with back prop agation neural network is presented,and the rotation speed can be estimated without speed sensor.

A few kinds of definitions of nonactive power in nonsinusoidal circuits were described and analyzed,and some of their limitations were indicated in this article.

In some circuit textbooks the rectifier circuit with the filter has been used as an example to illustrate the harmonic analysis of nonsinusoidal circuit adopted Fourier series.

Analysis) of the performance of multi-phase induction machines with non-sinusoidal currents in their stator windings requires knowledge of the relationship between the harmonic currents and the corresponding harmonic magneto-motive forces (MMF s).

Then the definitions of average and instantaneous reactive power based on Hilbert transforrnation for non-sinusoidal circuit are presented.

Reactive power measurement of non-sinusoidal circuit is the hot-spot research in Electric Power System.

Proof of readings of wattmeters working in non-sinusoidal circuit;