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1 % THEORETICAL DESIGN OF A REQUIRED TRANSFORMER vp=220; vs=35; Is=7; b=1.2; j=3e6; f=50; ip=(vs/vp)*Is x=sprintf('The value of Ip(Primary current) = %f A)',ip); disp(x) T=sym('(vs*2*Is)/(b*j*f)^(1/4)') T=((vs*2*Is)/(b*j*f))^(1/4); x=sprintf('The value of T = %f m = %f mm)',T,T*1000); disp(x) T=floor(T*1000); S=T; it=1; %Iterations while(1) x=sprintf('\nIteration # %f',it); disp(x) x=sprintf('For value of T = %f',T); disp(x) x=sprintf('Ns= vs/(4.44*b*0.97*T*T*10^(-1*6))*50)'); disp(x) Ns=vs/(4.44*b*0.97*T*T*50*10^(-1*6)); x=sprintf('The Value of Ns(secondary turns) = %f turns\n',Ns); disp(x) x=sprintf('Acu=(Is/j)*Ns'); disp(x) Acu=(Is*Ns*1000000/j); x=sprintf('The value Acu = %f mm^2\n',Acu); disp(x) Acw=3*Acu; x=sprintf('Acw = 3*Acu = 3*%f = %f mm^2\n',Acu,Acw); disp(x) Aew=(T*T)/(2); x=sprintf('Aew = Ac/2 = T^2/2 =(%f*%f m^2)/2 = %f mm^2',T,T,Aew); disp(x) Adw=Aew-Acw; x=sprintf('Adw=Aew-Acw = %f - %f = %f mm^2\n',Aew,Acw,Adw); disp(x)

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Transformer calculations

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1% THEORETICAL DESIGN OF A REQUIRED TRANSFORMERvp=220;vs=35;Is=7;b=1.2;j=3e6;f=50;ip=(vs/vp)*Isx=sprintf('The value of Ip(Primary current) = %f A)',ip);disp(x)T=sym('(vs*2*Is)/(b*j*f)^(1/4)')T=((vs*2*Is)/(b*j*f))^(1/4);x=sprintf('The value of T = %f m = %f mm)',T,T*1000);disp(x)T=floor(T*1000);S=T;it=1;%Iterationswhile(1)

x=sprintf('\nIteration # %f',it);disp(x)

x=sprintf('For value of T = %f',T);disp(x)

x=sprintf('Ns= vs/(4.44*b*0.97*T*T*10^(-1*6))*50)');disp(x)

Ns=vs/(4.44*b*0.97*T*T*50*10^(-1*6));x=sprintf('The Value of Ns(secondary turns) = %f turns\n',Ns);disp(x)

x=sprintf('Acu=(Is/j)*Ns');disp(x)Acu=(Is*Ns*1000000/j);x=sprintf('The value Acu = %f mm^2\n',Acu);disp(x)

Acw=3*Acu;x=sprintf('Acw = 3*Acu = 3*%f = %f mm^2\n',Acu,Acw);disp(x)

Aew=(T*T)/(2);x=sprintf('Aew = Ac/2 = T^2/2 =(%f*%f m^2)/2 = %f mm^2',T,T,Aew);disp(x)

Adw=Aew-Acw;x=sprintf('Adw=Aew-Acw = %f - %f = %f mm^2\n',Aew,Acw,Adw);disp(x)
2if(Adw
3T =

39

Iteration # 2.000000For value of T = 39.000000Ns= vs/(4.44*b*0.97*T*T*10^(-1*6))*50)The Value of Ns(secondary turns) = 89.049785 turns

Acu=(Is/j)*NsThe value Acu = 207.782832 mm^2

Acw = 3*Acu = 3*207.782832 = 623.348495 mm^2

Aew = Ac/2 = T^2/2 =(39.000000*39.000000 m^2)/2 = 760.500000 mm^2Adw=Aew-Acw = 760.500000 - 623.348495 = 137.151505 mm^2

Adw Is not very small)

T =

38

Iteration # 3.000000For value of T = 38.000000Ns= vs/(4.44*b*0.97*T*T*10^(-1*6))*50)The Value of Ns(secondary turns) = 93.798285 turns

Acu=(Is/j)*NsThe value Acu = 218.862664 mm^2

Acw = 3*Acu = 3*218.862664 = 656.587993 mm^2

Aew = Ac/2 = T^2/2 =(38.000000*38.000000 m^2)/2 = 722.000000 mm^2Adw=Aew-Acw = 722.000000 - 656.587993 = 65.412007 mm^2

Adw Is not very small)

T =

37

Iteration # 4.000000For value of T = 37.000000Ns= vs/(4.44*b*0.97*T*T*10^(-1*6))*50)The Value of Ns(secondary turns) = 98.936978 turns

Acu=(Is/j)*Ns
4The value Acu = 230.852949 mm^2

Acw = 3*Acu = 3*230.852949 = 692.558847 mm^2

Aew = Ac/2 = T^2/2 =(37.000000*37.000000 m^2)/2 = 684.500000 mm^2Adw=Aew-Acw = 684.500000 - 692.558847 = -8.058847 mm^2

T = 37.000000 mmNp= vp/(4.44*b*0.97*T*T*10^(-1*6))*50The Value of Np(Primary turns) = 621.889577 turns

Ns= vs/(4.44*b*0.97*T*T*10^(-1*6))*50The Value of Ns(secondary turns) = 98.936978 turns

Published with MATLAB R2014a