Chapter Nine: Speed control of an induction motor

Abstract

A new approach to system sensitivity is applied to the constant voltage-to-frequency ratio (V/f) speed control of induction motors. Unlike the classical sensitivity definition, here, the functional sensitivity is defined in terms of variational calculus. The modeling tool used here is the differential inclusion. Some basic definitions are recalled, including the reachable set of the differential inclusion. The functional sensitivity of the V/f speed control is proposed, based on the reachable sets of differential inclusions.

It is pointed out that the non-local functional sensitivity is given in the form of the system's reachable set. The solution to the functional sensitivity is shown, ...

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