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R1=0.98ohms, pole pairs is 2 since rated speed is 1410 rpm and frequency is 50Hz1В Ri I X3 I RI V R Xm Xm Re Vi h a Figure 1.1. The exact (a) and the approximate (b) equivalent circuitsNameplate Parameter Rated Voltage Value 415 V Rated Frequency Rated Curent Rated Power-Factor Rated Output Power Rated SpeedX3 () X1 () Blecked-rotor test (s* Blocked-rotor test (s 1) 1.03 2.21 2.21 = No-load test (s 0) 240 44.1

Using this equivalent circuit, calculate the following quantities out by hand (showing your working) at rated speed when operating with rated voltage.

1) Rated slip

2) Rated output torque (using torque equation)

3) Rated output power

4) Magnitude and phase of rated stator current

5) rated input power

6) rated input power factor

7) rated efficiency

1В Ri I X3 I RI V R Xm Xm Re Vi h a Figure 1.1. The exact (a) and the approximate (b) equivalent circuits
Nameplate Parameter Rated Voltage Value 415 V Rated Frequency Rated Curent Rated Power-Factor Rated Output Power Rated Speed Winding Connection 50 Hz 11.0 A 0.85 5.5 kW 1410 rpm star
X3' () X1 () Blecked-rotor test (s* Blocked-rotor test (s 1) 1.03 2.21 2.21 = No-load test (s 0) 240 44.1
engineering   Electrical-Engineering   
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Answer #1

! Given data 445u =50tH3 Poe fa = 2 lIA No of Pods = L 272 085 Cose S.5KW 410 0pm Ny Re-240s R=0.98 J03n 4.1A 2.21n X 2.21, 92 Rated output power From Name plate Pout 5.5KW Rated Output torue 66x Paut 9TT N 6o x 5.5KID3 37.25 N-m fo Bams Thege aboveph (41/5) (4.1099 tj8.629 (12.3583-j7558) A (I1 I4.486 A -31.4498 Input poer 415x 14. 486x 3 (31.444) 1 8.8829 kW vi) GR ) Po2A 1.63/0,044 Pi% 0.98n ww Ri 17.163 1 44.1A J (Auo 4jan) (RtN)CRJ) (0981.2)17-1IG ja21) Zsh 11 ZRevies C.838 j42.C59) (18.1415,90k A 32.17 1 Inpust Pover 11 S2x WISx I5904x (32.17) 7 9676.284 W Vi) Poes faurr 32.171h) Cor 0.84 64 lag tiny Output Poc

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