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A simplified and fast-built flux-linkage analytical model for the switched-reluctance motor is proposed, which utilises the Fourier series in expression of the current-dependent arc-tangent function. Presently, there are many conventional methods requiring numerous flux-linkage-current-position data; however, this is not economical for modelling. In the proposed model, the position dependency of the flux linkage is represented by a limited number of Fourier series terms, and the variation of the flux linkage with phase current is expressed by means of an arc-tangent function. The proposed model can be built with only five data points, which are simply obtained through finite-element analysis, for easy implementation and high computational efficiency. The accuracy of the model is verified via comparison with laboratory measurements of the machine steady-state voltage and current waveforms as well as several characteristic curves. The proposed model is shown to have a good degree of the accuracy.