Question
Download Solution PDFThe efficiency of a 60 Hz, 6-pole, 1000 rpm 3-phase induction motor is _______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
The slip 's' is given by:
\(s={N_s-N_r\over N_s}\)
The power relation for an induction motor is given by:
\(P_g:P_c:P_d=1:s:1-s\)
The efficiency of a 3ϕ induction motor is given by:
% η \(={P_d\over P_g}\times 100\)
% η \(={1-s\over 1}\times 100\)
where, s = Slip
Ns = Synchronous speed
Nr = Rotor speed
Calculation
Given, Nr = 1000 rpm
P = 6
\(N_s={120\times 60\over 6}=1200\space rpm\)
\(s={1200-1000\over 1200}=0.167\)
% η \(={1-0.167\over 1}\times 100\)
%η = 83.4%
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