Spiral vector theory of AC motor analysis and control

The spiral vector method is proposed as a tool for analyzing AC circuits and AC machines. Analytical results obtained have produced superior control features out of the induction motor, for example. The spiral vector method would also bring about an entirely new approach to AC circuit analysis, by unifying AC circuit theory for steady-state analysis and transient theory for transient-state analysis. The circuit equations derived are of first or second degree and are easy to solve. Analytical results obtained led to field acceleration method control of induction motor torque, in which preexcitation eliminates electromagnetic transients or suppresses them to a great extent. They also revealed that torque response could be independent of motor speed and gave transfer functions for torque response.<>