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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