For the accurate analysis of salient-pole synchronous machines using the two-axis frame models, the direct- (d-) and quadrature-axis (9-) saturation characteristics are needed. Usually the direct-axis saturation characteristic can be obtained easily by the conventional open-circuit test with the machine excited from its field winding. On the other hand, the quadrature-axis saturation characteristics of synchronous machines cannot be measured applying simple, conventional methods and, thus, they are usually not available. This paper presents a new method for calculating the quadrature-axis saturation characteristics of salient-pole synchronous machines. In this method, the quadrature-axis saturation characteristic can be calculated from the readily available test data, namely the direct-axis saturation characteristic, and the direct-and quadrature-axis unsaturated magnetizing reactances.
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