Modeling radial air-gap forces of three-phase cage induction machines in spatial frequency domain

Acoustic optimization and auralization of inverter-fed drive systems require system-simulation models for the machine's air-gap forces. This paper proposes such a model for three-phase squirrel-cage induction machines. Modeling the radial air-gap forces as spatial forces shapes allows for an computationally efficient implementation, provides descriptive results and interfaces well with numerical vibration synthesis procedures. This paper proposes a transformation of radial airgap force models of induction machines from the spatial time domain to the spatial frequency domain. A procedure to compute the transient electromagnetic behavior in the air-gap of a three-phase cage induction machine is discussed using a model in spatial frequency domain.