Dynamic Modeling and Analysis of a Double-Star Synchronous Machine Interfaced with a Static Converter

¹ PhD Student, Laboratory of Water, Energy, Environment and Industrial Processes (LE3PI) Polytechnic School (ESP) – Cheikh Anta Diop University of Dakar (UCAD) Fann, BP 5085, Dakar-Fann, Senegal
² Professor, PhD Supervisor, Department of Electrical Engineering Polytechnic School (ESP) – Cheikh Anta Diop University of Dakar (UCAD) Fann, BP 5085, Dakar-Fann, Senegal

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Abstract

This paper presents a rigorous modeling of the “Double-Star Permanent Magnet Synchronous Machine – Static Converter” (DS-PMSM) system operating in generator mode. The model is based on Concordia and Park transformations to express electrical quantities in a rotating reference frame, thereby simplifying dynamic analysis. The double-star structure enables independent control of the two stator sets, optimizing energy production and the regulation of active (P) and reactive (Q) power. The static converter is modeled using a behavioral approach based on dual three-phase inverters. The fundamental equations (flux, voltage, torque) are developed in both abc and dq reference frames. This modeling framework provides a solid foundation for implementing robust control strategies and optimized energy injection into the grid.