The Application of Hyperbolic Functions to Electrical Engineering Problems Bein

Cover The Application of Hyperbolic Functions to Electrical Engineering Problems Bein
The Application of Hyperbolic Functions to Electrical Engineering Problems Bein
Arthur E Arthur Edwin Kennelly
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, of which by (23), page 15, the sending-end resistance at A when grounded at B is R M = z o tanh 140688 = 1273'633 ohms . . . (56) Proceeding in this way, we should find that in every respect the artificial line would behave in the steady state exactly like a real smooth line of surge-resistance z and angle Su hyps. Along and within the artificial line, the distribution of potential, current, resistance, power and energy would not be the same as in the corresponding smooth line; except at sect...ion junctions, where the agreement would be complete, each section being the external counterpart of a smooth line having a surge-resistance V 1 + 1= 2 J V^fp ohms L (57) and an angle = 2 u = 2 sinh-' ( 9 >) = 2 sinh-' ('J - ')hyps. L (58) which means that each section of artificial line is the equivalent T of the corresponding section of actual smooth line. See page 35, where // = r 1 /2.
If each T-section of the artificial line, in the case considered, represented 100 km. Of actual smooth line ; then the actual line of 400 km.


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