E.M.F. of the generator OE°, where Z0 = r0 - jx0 = inter-Apparatus, Machines, And Power Systems
Why This Family Matters
Section titled “Why This Family Matters”Routes formulas tied to machines, apparatus, synchronism, and operating power systems.
410
candidate records in this family.
323
reviewable relation candidates.
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sources represented.
Candidate Formula Cards
Section titled “Candidate Formula Cards”e1 = E cos(…); e2 = E cos(…), OCR candidateei = E cos (0e = e1 - e2 = 2E sin(…) sin(…), OCR candidatei = (2E / z) sin(…) sin(…), OCR candidatez = sqrt(r^2 + x^2); tan a = x / r, OCR candidatep’Y=-!|cos(2a>-a)P=- sin a sin 2coW= ^-sin a (1-cos 2 Wo )2Eo sin wo = I (2xx+x)” -Pi = U (e0 - ri\ - xi2) + it (xit - n2), (16)Pi = cot’i - r (tV + it2)tan a = -p”i=- cos agives, substituting cos a = -CI=E cos (ie = 2E sine = 2E sinID=- sin wtion : armature turns m to field turns n = 2 -4- i ; and at thisNo = 2 N, it must be one-half the main field.At half synchronism, No = 2 ^’ ^^^ transformer field ofthe commutating field required Fo = 2 F, and the short cir-Fo = 2 ^» ^^^ the transformer field thus is four times largere2 = Ecos (0+co)z = r2+x: p = a small quantity ; these additional terms in (3) and (4) arefor a = 0, that is, in the (theoretical)- — =- sin a (1z= Vr 2+xe 2 = E cos (1+s)= E<cos (1z= Vr 2+x- cos (2s0 = a)e 2 = E cos (0+w)x2 = 2x1 + x, OCR candidateXi = xn+Xi2 = total self inductive reactance of alternators or groupXo=xn+x 2Xl =.458 +.405 = 863;Xl = .318+.347 = .665; M = 67xlO.x 2 = 4.95; Xl =.325+.168 = .493; M = 78xl0 6Xl = .214+.168 = .382:z = .84: 1^ = 78 xlO 6z = 1.46: M^SOxlOthe system of ordinary numbers, this definition ofy = V- 1torque curve of the motor with short-circuited secondary, r = 0,E0 = E + Z„f„. (6)as = * (- H h - 1 Ici = - H 1- 6iEo = Ei{ai + jat + (r0 + jx0) (c, + jc,) }C = -=*=• (17)to = e,\/ci* + c,*. (18)D = D2 + Dh (21)P = (1 - s) Z>. (22)da = a2 + roC2 + XqCi,to = e* Vci2 + cf,P = (1 - s) D,Po = e*1 (cidx + c2d2),/o = U + I* + U + Fo#. (4)tf i = #* + jx, (It + /•), (6)E = Es\ai+ jai + r:’ («. + jo*) + 3 ^ (l + 3 ?) + 3 ?c2 = 62g - 616,a2 = - a2 + ■ - t f2Zo/o = #3 (di + jrf2) (r0 + ix0)#o = #3 (6i + jbt + /i + jf«)(Jz = b2 + /2U = ez Vrfi8 + _dS, (25)D = D, + D2 + D3, (31)P = (1 - s) Z>, (32)Q = «oio. (34)to = ez y/dx2 + dsSD = !>! + D2 + /)3,