The authors present a model for the d and q-axis synchronous reactances in which the effects of both the d- and q-axis saturation factors and the cross-magnetizing phenomenon are included. The variations of the d- and q-axis mutual reactances versus the d- and q-axis ampere-turns are also shown. The results obtained by using this model were found to be in good agreement with those measured experimentally. These results show also that the saturation effects on the d- and q-axis mutual reactances could be large and its effect on the q-axis reactance could be larger than that on the d-axis reactance. The results demonstrate that the effect of the cross-magnetizing phenomenon could be appreciable and its negligence or improper representation could lead to inaccurate values for the machine reactances.>
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El-Serafi et al. (1992) studied this question.
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