A cascade equivalent A-H-circuit of a synchronous salient-pole electric machine

Cartesian and cylindrical laminated models are well known in electromagnetic calculations of electric machines. In such models, general solutions of partial differential equations are transformed into four-terminal circuit equations, and this makes possible to synthesize cascade equivalent circuits of the electric machines. In salient-pole machines, solutions of partial differential equations are formed on the base of piecewise continuous Sturm-Liouville eigenfunctions. However, in this case, cascade equivalent circuits cannot be synthesized since it needs many piecewise continuous eigenfunctions in a zone of poles and many smooth functions in a zone of an air gap for ensuring uniqueness of a solution. Meanwhile the author of this paper had offered an approximate method on the base of a single piecewise continuous Sturm-Liouville eigenfunction in a zone of poles and many smooth functions in a zone of the air gap. This method allows transforming an analytic solution of a partial differential equation into four-terminal circuit equations and synthesizing cascade equivalent circuits of salient-pole electric machines. In this paper, a synthesis of an active cell of a cascade equivalent A-H-circuit of a synchronous salient-pole electric machine is considered. The active cell of the corresponding exciting field is synthesized by means of a solution of Poisson's equation with a single piecewise continuous Sturm-Liouville eigenfunction.