By Alan J. Munday, Roy A. Farrar

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12 1. 14 1. 16 l. 18 l. 20 l. 22 l. 24 1. 26 l. 28 1. 30 1. 32 1. 6778 0. 7300 0. 7651 0. 8254 0. 8733 0. 9297 0. 9419 1. 36 1. 38 1. 40 1. 42 1. 44 1. 46 1 . 48 1. 50 1. 52 1. 54 1. 56 1. 58 1. 60 1. 62 1. 64 1. 66 1. 68 1. 70 1. 72 1. 74 1. 76 1. 78 1. 80 1. 82 1. 84 l. 86 1. 88 l. 90 l. 92 l. 94 l. 96 1. 9583 0. 9764 0. 9796 0. 05 2. 10 2. 35 2. 75 2. 80 2. 95 3. 00 4. 9976 0. 9989 0. 9999 1. 0000 1. 0000 40 7. 8 Some typical values of physical properties All values are given, unless otherwise stated, for a temperature of 20°C.

C::::::J ·~· ~-· ·~ Xx;~T 1 ___JL__ _;0 l+aTs ""1+lS 0 vi 1 58 T • X. vo xo wn'(l+2,5/wn) s2+2swns+wn2 KL_ 0 K Frequency Response Logarithmic Complex Plane Step Response T l t ~. ; 59 10. Y_ . 10- 12 Fm-l for RC circuit discharge i = -le-t/RC Stored energy = cv 2 F = 1 [v]2 l 2 £o£ra X Electrostatics QlQ2 I. lr For a magnetic circuit ~ a ___2_ NI + t2 ulal Stored Energy Density il2"2 B2a 1 F = (-zHB)a = ~ DC Machines ¥ i'rr p~ where c = 2 (wave) or 2p (lap) E± I a Ra Shunt motor ,~ LL Series motor AC or DC I ll 'lL Compound motor I AC Machines Synchronous speed = f/p E = 2.

KGH K 1 +G 1 G2H il,lJ(s+zi) zeros and poles i 1),1 ( s+pi) system type number =-y n-t s 1 E system order number 55 3. 2 Routh Array Characteristic equation bl cl = an an-2 an -4 n-1 an-1 an-3 an-5 n-2 bl b2 b3 n-3 cl c2 c3 - anan-3 'h- fn-2 blan-3 - an-lan-4 - anan-5 an-1 b2 an-1 an-lb2 c2 = blan-5 - an-lb3 Number of closed loop poles with positive real part sign changes in column 1. etc. 5 Phase Margin l8o0+ = -180° /KG(jwp)H(jwp), "'p such that 4. 1 Every point, a, on the root locus for positive K satisfies IG(a)H(a) I= l/K = (l+2k)l80° k=O,±l,±2 .....

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