Abstract
An analytical method is presented for calculating the electromagnetic field of the stator winding of an alternating current machine, a turbine generator by solving the Laplace equation, first for a point conductor with a current i, by the method of separating variables when representing the space of the machine location consisting of five regions. The purpose of the work is to show that for all three components of the air gap field created by the winding, the magnetic circuit is common, but the magnetic circuits are different for each of them.
Highlights
Of the currently existing analytical methods for solving the field equation, we used the method of direct solution, i.e. solution of the Laplace equation by the method of separation of variables
It is known [1] that the method of direct solution of the field equations is reduced to finding a potential function that satisfies the Laplace or Poisson equations, as well as specified boundary and other conditions that determine the field in a particular investigated area of space where an AC electric machine is located [2]
An analytical method for calculating the electromagnetic field of the stator winding of an alternating current turbine generator (TG) by solving the Laplace equation first for a point conductor with a current i, by the separation of variables method when representing the space of the machine location consisting of five regions [3] (Fig. 1): 1. Outer region U ! d with index 0 and magnetic permeability P 0 = 4S10–7 H / m; 2
Summary
Of the currently existing analytical methods for solving the field equation, we used the method of direct solution, i.e. solution of the Laplace equation by the method of separation of variables. An analytical method for calculating the electromagnetic field of the stator winding of an alternating current turbine generator (TG) by solving the Laplace equation first for a point conductor with a current i, by the separation of variables method when representing the space of the machine location consisting of five regions [3] (Fig. 1): 1. Since there is no volume distribution of the current density in this two-dimensional model, the magnetic field can be characterized by a scalar magnetic potential
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