This paper is a detailed description of the method mentioned already in the author's previous paper to calculate the electromagnetically induced voltage on the weak current line by the accidental grounding of the power line. The assumptions upon which the autor's calculation is based are as follows:-
1. The current distribution within the earth crust is always determin-ated, independent of the nature of current, power current or charging current.
2. The electromagnetically induced voltage per unit length of the weak current line at any point is proportional to the magnitude of the current at the opposite point on the power line.
First the auther explained the current distribution when one line of the isolated 3-phase system is accidentally grounded, assuming that the line is free from impedance. Fig. 2 is the case when the ground occurs at the sending end, Fig. 3 the case when the ground occurs at the receiving end, Fig. 4 that for the intermediate point.
Based upon the prescribed assumptions, the electromagnetically induced voltage of the weak current line, of equal length with the inducing power line, as a function of the distance x of the ground from the sending end, is shown in Fig. 5. Thus when the ground occurs at the middle point, the total electromagnetically induced voltage becomes null.
If the neutral is ground with the Petersen earth coil, the total induced voltage becomes independent of the position of grounl as shown in Fig. 7.
If the neutral is ground with a non-inductive resistance having the same ohmicity with the Petersen earth coil, the total induced voltage increases greatly as shown in Fig. 8. x represents the position of ground on the power line from the sending end.
Finally the author calculated for the case, when the induced line is of the quarter length near the receiving end. In this case when the ground occurs at the receiving end with isolated neutral the total induced voltage becomes 7/16 E0, with the Peterson earth coil 1/16 E0, with non-inductive resistance 10.7/16E0.
As the remedy for the electromagnetic inductive interference, which constitutes a serious complaint in Japan, the Petersen earth coil seems to be very promising.
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