I. Introduction
The inter-turn short circuits fault of field windings, which often happen in turbine generators, will cause serious damages that the field current increases, the reactive power output decreases, and the rotor vibration aggravate [1] [2] [3]. So it is very important for the safe operation of generators to know fault characteristic of inter-turn short circuit of field windings. Existing research followed the experimental research, the qualitative analysis approaches and the numerical simulation method [2] [3] [4]. Some useful results have been achieved up to now. The qualitative analysis can get fault characteristic. The experimental research is closer to the actual situation, but for large-scale units, the experimental research needs the higher the cost of the experiment, and does not have universality, which has limitations in practical applications. The numerical simulation method can obtain accurately the distribution and the value of fault current in the loops [4] by simulating different operations of different structure machines with less cost [5] [6][7] [8].