This post will teach you how to ulitize Matlab in Induction Motor design, this is real time engineering application example:
Problem statement:
Design a 30HP, 3 phase, 440V, 900 r.p.m, 50Hz, delta connected squirrel cage induction motor. Assume
specific electric loading 25000,
specific magnetic loading .46 Wb
full load effeciency 85%
power factor = .9 calculate the following
i) Stator core dimension D and L
ii) Number of stator slots and winding turns
Matlab program:
%Matlab program to design squirrel cage induction motor
clc;
clear all;
Po = 30*.746; %kw
Vin = 440;
N = 900;
Ns = N/60;
f = 50;
Bav = .46;
pf = 0.9;
eff = 0.85;
ac = 25000;
Kws = .955;
phase = 3;
%rating in kVA
Q = Po/(eff*pf);
Kw = .9;
fprintf('\nProgram to design squirrel cage induction motor');
fprintf('\n_______________________');
Co = 1.11*pi*pi*Bav*ac*Kw*(10^-3);
%number of poles
pole = (2*f)/Ns;
%Q = Co*Ns*D2L
disp('Input power or rating power = ');
disp(Q);
D2L = Q/(Co*Ns);
%for good overall design
%L/tow = 1
%L*pole/pi*D
D3 = (Q*pole)/(Co*Ns*pi);
D = D3^(1/3);
disp('Hence Diameter D = ');
disp(D);
disp('Hence Length L = ');
L = pi*D/(pole);
disp(L);
%peripheral speed Va
Va = pi*D*Ns;
disp('Peripheral speed = ');
disp(Va);
if(Va<30)
fprintf('\nAs Peripheral speed is less than 30m/secs so dimensions are permissable');
else
fprintf('\nAs Peripheral speed is not less than 30m/sec the dimensions are not mpermissabel. But still the dimensions will be');
end
phim = Bav*pi*D*L/pole;
fprintf('\nFlux density phim = ');
disp(phim);
%number of stator turns Ts
Ts = Vin/(4.44*f*phim*Kws);
fprintf('\nNumber of stator turns Ts = ');
disp(round(Ts));
%total number of stator slot per phase per pole Ss
Ss = 3*pole*phase;
fprintf('\nTotal number of stator slot per phase per pole Ss');
disp(Ss);
fprintf('\nSlot pitch Yss = ');
Yss = pi*D/Ss;
disp(Yss);
Zss = 6*round(Ts);
fprintf('\nTotal Coonductors Zss = ');
disp(Zss);
fprintf('\nNumber of Slots = ');
noofslots = Zss/Ss;
disp(noofslots);
fprintf('\n——————');
fprintf('\nCreated By A K Tyagi');
Program Output:
Program to design squirrel cage induction motor
_______________________Input power or rating power =
29.2549
Hence Diameter D =
0.3317
Hence Length L =
0.1563
Peripheral speed =
15.6318
As Peripheral speed is less than 30m/secs so dimensions are permissable
Flux density phim = 0.0112
Number of stator turns Ts = 185
Total number of stator slot per phase per pole Ss 60
Slot pitch Yss = 0.0174
Total Coonductors Zss = 1110
Number of Slots = 18.5000
——————
Created By A K Tyagi>>
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