The cascade equivalent A-H-circuit of the salient-pole generator on the base of the anisotropic model

Alexey Blanc

Abstract


Cartesian and cylindrical laminated models are well known in the design of the electric machines. In such models, the general solutions of the partial differential equations are transformed into four-terminal network equations, and this makes possible to synthesize the cascade equivalent circuits of the electric machines. In salient-pole machines, the solutions of the partial differential equations are formed on the base of piecewise continuous Sturm-Liouville eigenfunctions. However, in this case, the cascade equivalent circuits cannot be synthesized since it needs many piecewise continuous eigenfunctions in the zone of poles and many smooth functions in the zone of the air gap for ensuring the uniqueness of the solution. Meanwhile the author of this paper had offered the approximate method on the base of the single piecewise continuous Sturm-Liouville eigenfunction in the zone of poles and many smooth functions in the zone of the air gap. This method allows transforming the solution of the partial differential equation into the four-terminal network equations and synthesizing the cascade equivalent circuits of the salient-pole machines. In this paper, the cascade equivalent A-H-circuit of the synchronous salient-pole generator is considered (without using piecewise continuous Sturm-Liouville eigenfunctions but also without properties averaging).

Keywords


electric machines; salient-pole electric machines; synchronous electric generators; cascade equivalent circuits



DOI: http://doi.org/10.11591/ijece.v11i1.pp%25p
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ISSN 2088-8708, e-ISSN 2722-2578