Abstract
The authors derive the static electromechanical spring stiffness coefficient of the class of balanced polyphase electric machines which are amenable to the generalized machine reference-frame transformation. The stiffness coefficient derived from the torque equation of the original unprimed frame expressed in the linearized small-perturbation form is given. The spring stiffness, which is physically present but suppressed in the reference-frame transformation, is then modeled and can be used effectively for transient analysis and the analysis of the dynamics of motion control systems. A procedure for the calculation of the stiffness coefficient is described and the electromechanical spring stiffness coefficients of synchronous machines and the induction machine are derived.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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