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Abstract
This paper addresses the simplification and linearization of the Park-Gorev equations used to study the electromagnetic and electromechanical transient processes of synchronous machines. The author proposes the “Simplified Comprehension (Apospasmatiká)” methodology, aimed at simplifying complex mathematical models so as to facilitate their comprehension while preserving the qualitative essence of the underlying physical processes. In the course of the study, a system of small-oscillation equations is derived, and the optimization of variables on the basis of the characteristic determinant is justified. The results obtained make it possible to substantially reduce the computational resources required for stability analysis and numerical modeling, particularly for low-power synchronous generators.
References
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