NUMERICAL SIMULATION OF SYNCHRONOUS GENERATOR ON STEADY STATE

ABSTRACT

In its first part, this paper deals with steady state operation of a synchronous generator knowing its geometry, its magnetic characteristic, its output voltage and the field current. The second part is about the computation of the field current and load angle knowing the load of the synchronous generator, in terms of active power (P), reactive power (Q) and terminal voltage (V).

While the magnetic material characteristic is linear, the machine's equations can be solved analytically for the determination of its operating point. But when it is in a nonlinear area the problem becomes more intricate. In that case numerical modeling is very useful. In this paper we propose a model based on the simultaneous solution of electric and magnetic equations, where the latter are solved using the FEM. To consider the movement, the electric equations are expressed in d-q reference axes. As current and load angle are unknown, one has to add a new nonlinear electric equation to the classical nonlinear magnetic system. In our model the solution is obtained using the Newton-Raphson iterative procedure.

Numerical applications have been done on an EDF (Electricité de France) 1300MW synchronous generator designed by GEC.ALSTHOM. To show the validity of the model different trials have been performed, first without load, then when the machine produces active and reactive power.