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- W2526472441 abstract "Elliptical air gap fields are decomposed by Fourier transforms into forward and backward rotating components. By applying these to two distinct rotor models, it is possible to account for motional eddy current effects by slip transformation. External circuit coupling and ferromagnetic saturation are considered. The overall approach simulates efficiently the steady-state behaviour of rotating shaded-pole induction machines without time stepping. Introduction To simulate a three-phase induction machine at steady-state, a time-harmonic finite element (FE) method can be used [1]. Motional eddy current effects are incorporated by slip transformation, i.e., by multiplying the rotor bar conductivities by the slip. The main assumption thereby is that the air gap field is a rotating, sinusoidal wave. In single-phase induction machines, however, the air gap field is alternating or, if an auxiliary winding or shading rings are applied, of an elliptical wave form (Fig. 1) [2]. Hence, time-harmonic simulation with slip transformation is no longer applicable. Existing simulation techniques are based on transient FE simulation [3], suffering from huge simulation times, or lumped parameter extraction methods, which may be inaccurate [4]. In this paper, a novel time-harmonic FE method with air gap flux splitting is presented and applied to a shaded-pole machine. Single-Phase Induction Machine Model The 2D time-harmonic magnetodynamic formulation is V A s j y A y x A x z z z z ∆ σ = σ ω + ∂ ∂ ν ∂ ∂ − ∂ ∂ ν ∂ ∂ − l (1) with ν the reluctivity, σ the conductivity, ω the electrical pulsation and z l the axial length of the 2D model [5]. The phasor z A corresponds to the z -component of the magnetic vector potential. The phasor V ∆ is the voltage drop between the front and rear ends of the model. The slip is defined by" @default.
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- W2526472441 date "2002-01-01" @default.
- W2526472441 modified "2023-09-27" @default.
- W2526472441 title "Time-harmonic finite element simulation of a shaded-pole induction machine" @default.
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