This paper outlines a modeling approach for electrical machines with multi-phase systems, accounting for physical principles, saturation, and cross-coupling effects. It uses an orthogonal reference frame and derives the Clarke factor for cross-coupling calculations, extendable to the (d, q)-reference frame. An electrical subsystem with multiple windings and power and torque equations is developed. Validation is performed on an electrically excited synchronous machine (EESM) with a damper winding. Finite element analysis (FEA) assesses model parameters. Simulations in MATLAB/Simulink confirm the effectiveness in current control.

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