Lecture 1 electric machinery fundamental

... 0.933 0.966 1. 033 1. 067 1. 1 1. 133 1. 167 1. 2 1. 233 1. 267 1. 3 1. 333 1. 367 1. 4 1. 433 1. 466 1. 5 10 4.4 11 8.86 13 2.86 14 6.46 15 9.78 17 2 .18 18 3.98 19 5.04 205 .18 214 .52 223.06 2 31. 2 238 244 .14 249.74 255.08 ... R3 + R4 ) R1 + R2 + R3 + R4 ( R1 + R2 ) φ right = φTOT = R1 + R2 + R3 + R4 (90 .1 + 77.3) 90 .1 + 10 8.3 + 90 .1 + 77.3 φTOT = (90 .1 +...

Ngày tải lên: 05/08/2014, 20:22

... 11 6.3 2. 28° V 27 VR = (3) 11 6.3 -11 5 × 10 0% = 1. 1% 11 5 0.8 PF Leading: VP ′ = VS + Z EQ IS = 11 5∠0° V + ( 0 .14 0 + j 0.5 32 Ω )(8.7∠36.87° A ) VP ′ = 11 3.3 2. 24° V 11 3.3 -11 5 VR = × 10 0% = 1. 5% 11 5 ... 11 5∠0° V + ( 0 .14 0 + j 0.5 32 Ω )(8.7∠ − 36.87° A ) VP ′ = 11 8.8 1. 4° V 11 8.8 -11 5 VR = × 10 0% = 3.3% 11 5 (2) 1. 0 PF: VP ′ = VS + Z EQ I S = 11 5∠0...

Ngày tải lên: 05/08/2014, 20:22

... 19 .9 kV 7.97 kV 200 kVA 2.50 :1 19.9 kV 13 .8 kV 200 kVA 1. 44 :1 Y-∆ 34 .5 kV 7.97 kV 200 kVA 4 .33 :1 ∆-Y 34 .5 kV 13 .8 kV 200 kVA 2.50 :1 ∆-∆ 34 .5 kV 13 .8 kV 34 6 kVA 2.50 :1 open-∆ 19 .9 kV 13 .8 kV 34 6 ... (low-voltage) side is Vbase (15 kV ) = 1. 125 Ω = S base 200 MVA Z base = so REQ = ( 0. 012 ) (1. 125 Ω ) = 0. 0 13 5 Ω X EQ = ( 0.05) (1. 125 Ω ) = 0.05 63 Ω...

Ngày tải lên: 05/08/2014, 20:22

... Load = (0 .47 65∠ − 41 . 6°) (1. 513 + j1 .13 4 ) = 0.9 01 − 4. 7° VLoad = VLoad,puVbase3 = (0.9 01) (48 0 V ) = 43 2 V The power supplied to the load is PLoad,pu = I RLoad = ( 0 .47 65) (1. 513 ) = 0. 344 PLoad ... j0. 040 + 0.00723 + j0. 048 2 + 0. 040 + j 0 .17 0 + 1. 513 + j1 .13 4 Z EQ = 1. 5702 + j1.3922 = 2.099∠ 41 . 6° The resulting current is I= 1 0° = 0 .47 65∠ − 41 . 6° 2....

Ngày tải lên: 05/08/2014, 20:22

... Phase − T / 12 T / 12 3T / 12 5T / 12 7T / 12 9T / 12 11 T / 12 T / 12 3T / 12 5T / 12 7T / 12 9T / 12 11 T / 12 T / 12 c a a b b c c b b c c a a b 88 Conducting SCR (Positive) SCR3 SCR1 SCR1 SCR2 SCR2 ... from R1, the time at which iD(t) reaches IH is t2 = − R2C ln I H R2 (0.00 05 A ) ( 15 00 Ω ) = 5. 5 ms = − ( 0.0 0 15 ) ln 30 V VBO Therefore, the period of the relaxation...

Ngày tải lên: 05/08/2014, 20:22

... below: 11 2 0 .15 Ω j1 .1 Ω IA + EA + - Vφ Z 6. 667 ∠30° - The magnitude of the phase current flowing in this generator is IA = EA 13 77 V 13 77 V = = = 18 6 A RA + jX S + Z 0 .15 + j1 .1 + 6. 667 ∠30° 1. 829 ... A = 12 40∠0° + ( 0 .15 Ω ) (18 6 − 30° A ) + j (1. 1 Ω) (18 6 − 30° A ) E A = 13 77 6. 8° V The resulting phasor diagram is shown below (not to scale): E = 13 77 6. 8...

Ngày tải lên: 05/08/2014, 20:22

... MW = (1. 5) 61. 0 − f sys + (1. 676 ) 61. 5 − f sys + (1. 9 61) 60.5 − f sys ) MW = 91. 5 − 1. 5f sys + 10 3. 07 − 1. 676 f sys + 11 8.64 − 1. 961f sys 5 .13 7 fsys = 306.2 f sys = 59. 61 Hz The power supplied by ... SD B 3.0 +1 +1 100 10 0 f nl,C 60.5 Hz f fl,C = = = 58. 97 Hz SDC 2.6 +1 +1 100 10 0 and the slopes of the power-frequency curves are: MW S PA = = 1. 5 MW/Hz Hz...

Ngày tải lên: 05/08/2014, 20:22

... = 1. 15 E A1 = 1. 15 ( 384 V ) = 4 41. 6 V 15 0 δ = sin 1 E A1 384 V sin 1 = sin 1 sin ( −36.4° ) = − 31. 1° E A2 4 41. 6 V The new armature current is I A2 = Vφ − E A2 jX S = 480 ∠0° V − 4 41. 6∠ − 31. 1° ... = sin 1 E A1 13 ,230 V sin δ = sin 1 sin 27.9° = 31. 3° E A2 11 ,907 V Therefore, the new armature current is IA = E A2 − Vφ jX S = 11 ,907∠ 31. 3° − 7044∠0° = 84 8∠ − 26 .8...

Ngày tải lên: 05/08/2014, 20:22

... PIN = (c) Pout POUT 10 0 kW = = 11 0 kW 0. 91 η The mechanical speed is nm = 15 00 r/min (d) The armature current is IA = IL = P 11 0 kW = = 15 6 A VT PF ( 480 V )(0.85) I A = 15 6∠ 31. 8° A Therefore, ... English units is τ load = POUT ωm = ( 210 00 hp)(746 W/hp) (12 00 r/min ) 2π rad 60 s τ load = 6 -13 = 12 4,700 N ⋅ m 1r 5252 P 5252 ( 210 00 hp ) = = 91 , 91 0 lb ⋅ ft nm (12 00 r/...

Ngày tải lên: 05/08/2014, 20:22

... = 0. 211 Ω and X = 0. 317 Ω Therefore, X M = 5.455 Ω − 0. 211 Ω = 5.244 Ω The resulting equivalent circuit is shown below: 19 2 IA R1 + Vφ jX1 0 .10 5 Ω jX2 j0. 211 Ω j0. 317 Ω j5.244 Ω R2 0.0 71 Ω jXM ... M ( R1 + jX ) ( j15 Ω )( 0.20 Ω + j 0. 41 Ω ) = = 0 .18 95 + j0.4 016 Ω = 0.444∠64.7° Ω R1 + j ( X + X M ) 0.20 Ω + j ( 0. 41 Ω + 15 Ω ) VTH = jX M ( j15 Ω ) Vφ = (12 0∠0° V ) = 11 6...

Ngày tải lên: 05/08/2014, 20:22

... (18 8.5 rad/s) (0. 3 21 + 0 .1 72 Ω /1. 9 62) 2 + (0. 418 + 0. 420 )2 ( 26 2 V ) (0.0877 ) τ ind = (18 8.5 rad/s) (0. 3 21 + 0.0877 )2 + ( 0. 418 + 0. 420 )2 τ ind = 11 0 N ⋅ m, opposite the direction of motion 20 3 ... Motor Torque-Speed Characteristic 450 R2 = 0.0059 ohms R2 = 0 .1 72 ohms 400 350 300 τ ind 25 0 20 0 15 0 10 0 50 16 00 1 620 16 40 16 60 16 80 17 00 n 1...

Ngày tải lên: 05/08/2014, 20:22

... below: 11 2 0 .15 & j1 .1 & IA + + - E A 6.667 30° Z V ⎞ - The magnitude of the phase current flowing in this generator is EA I =A + S + jX R A 13 77 V 13 77 V = 0 .15 1. 1 + Z + 6.667 30 1. 82 j ° 18 6 ... = ) 18 A AR P = W re 12 40 V 18 6 A 0.8 ( = 24 kW = 18 kW )( ) = 6A ( 0 .15 & ) = 15 .6 kW 554 kW 18 6 30 A) P ray = (assumed 0) st IN = P+ OUT P+ P + P+ P CU F&W core P = 612...

Ngày tải lên: 06/08/2014, 11:20

... Manual to accompany Chapman Electric Machinery Fundamentals Fourth Edition Stephen J Chapman BAE SYSTEMS Australia i Instructor’s Manual to accompany Electric Machinery Fundamentals, Fourth Edition ... APPENDIX D: ERRATA FOR ELECTRIC MACHINERY FUNDAMENTALS 4/E 301 iii PREFACE TO THE INSTRUCTOR This Instructor’s Manual is intended to accompany the fourth edition of Electric...

Ngày tải lên: 24/12/2013, 08:16

... The overall efficiency of the power system will be the ratio of the output power to the input power The output power supplied to the load is POUT = 90 kW The input power supplied by the source ... questions about this power system (a) Assume that the switch shown in the figure is open, and calculate the current I, the power factor, and the real, reactive, and apparent power be...

Ngày tải lên: 21/06/2014, 21:20

... equivalent circuit of this power system 59 (b) With the switch opened, find the real power P, reactive power Q, and apparent power S supplied by the generator What is the power factor of the generator? ... generator? (c) With the switch closed, find the real power P, reactive power Q, and apparent power S supplied by the generator What is the power factor of the generator? (...

Ngày tải lên: 21/06/2014, 21:20