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    ASSIGNMENT NO. 1

    Ans. 1

    MATLAB Program

    r = input('radius of conductor in cm') ;

    r1= 0.7788*r ;

    GMRL = ((r1^7)*((2*r)^6)*((2*r)^12)*((4*r)^6)*((2*r)^6)*((2*sqrt(2)*r)^12))^(1/49)

    GMRC = ((r^7)*((2*r)^6)*((2*r)^12)*((4*r)^6)*((2*r)^6)*((2*sqrt(2)*r)^12))^(1/49)

    Result

    >> Q.1

    radius of conductor in cm 0.9

    GMRL =

    1.8641

    GMRC =

    1.9319

    Ans.2

    MATLAB Program

    d = input('bundle spacing in cm');

    r = input ('radius of conductors in cm');

    r1= 0.7788*r;

    display('for square coniguration')

    GMRL = (d*d*sqrt(2)*d*r1)^(1/4)

    GMRC = (d*d*sqrt(2)*d*r)^(1/4)

    Result

    >> Q.2

    bundle spacing in cm 25

    radius of conductors in cm 1.5

    for square configuration

    GMRL =

    12.6754

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    GMRC =

    13.4929

    Ans

    3(a)

    MATLAB Program

    d12 = input('spacing b/w 1 & 2');

    d23 = input('spacing b/w 2 & 3');

    d13 = input('spacing b/w 1 & 3');

    r = input('radius of conductor in cm');

    r1 = 0.7788*r;

    display('for single conductor');

    GMD = (d12*d23*d13)^(1/3);

    GMRL = r1;

    GMRC = r;

    L = 2*(10^(-7))* log (GMD/GMRL)

    C = 2*pi*8.85*(10^(-12))/ log (GMD/GMRC)

    display('for bundled conductor');

    d = input('spacing b/w bundled conductors');

    display(' for equilateral configuration');

    GMRL = (r1*d*d)^(1/3);

    GMRC = (r*d*d)^(1/3);

    L = 2*(10^(-7))* log (GMD/GMRL)

    C = 2*pi*8.85*(10^(-12))/ log (GMD/GMRC)

    display(' for square configuration');

    GMRL = (r1*d*d*sqrt(2))^(1/4);

    GMRC = (r*d*d*sqrt(2))^(1/4);

    L = 2*(10^(-7))* log (GMD/GMRL)

    C = 2*pi*8.85*(10^(-12))/log (GMD/GMRC)

    Result

    spacing b/w 1 & 2 in cm 200

    spacing b/w 2 & 3 in cm 150

    spacing b/w 1 & 3 in cm 300

    radius of conductor in cm 0.9

    for single conductor

    L =

    1.1386e-006

    C =

    1.0216e-011

    for bundled conductor

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    spacing b/w bundled conductors in cm 25

    for equilateral configuration

    L =

    6.6202e-007

    C =

    1.7233e-011

    for square configuration

    L =

    7.4607e-007

    C =

    1.5160e-011

    Ans3(b)

    (I)

    MATLAB Program

    d12 = input('spacing b/w 1 & 2');

    d23 = input('spacing b/w 2 & 3');

    d13 = input('spacing b/w 1 & 3');

    r = input('radius of conductor in cm');

    r1 = 0.7788*r;display('for single circuit');

    GMD = (d12*d23*d13)^(1/3);

    GMRL = r1;

    GMRC = r;

    L = 2*(10^(-7))* log (GMD/GMRL)

    C = 2*pi*8.85*(10^(-12))/ log (GMD/GMRC)

    Result

    spacing b/w 1 & 2 in cm 300

    spacing b/w 2 & 3 in cm 200spacing b/w 1 & 3 in cm 150

    radius of conductor in cm 0.9

    for single circuit

    L =

    1.1386e-006

    C =

    1.0216e-011

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    (II)

    MATLAB Program

    r = input('radius of conductor');

    n = input('spacing between a1 & a2');m = input('spacing between a1 & b2');

    h = input('spacing between c1 & a2');

    D = input('spacing b/w a1 & b1 or b1 & c1');

    r1 = 0.7788*r;

    display('for calculation of inductance')

    GMRa = sqrt(r1*n);

    GMRb = sqrt(r1*h);

    GMRc = sqrt(r1*n);

    GMRL = (GMRa*GMRb*GMRc)^(1/3)

    GMDab = sqrt(D*m);

    GMDbc = sqrt(D*m);GMDca = sqrt(2*D*h);

    GMD = (GMDab*GMDbc*GMDca)^(1/3)

    L = 2*10^(-7)* log (GMD/GMRL)

    display('for calculation of capacitance')

    GMRa = sqrt(r*n);

    GMRb = sqrt(r*h);

    GMRc = sqrt(r*n);

    GMRC = (GMRa*GMRb*GMRc)^(1/3)

    C = 2*pi*8.85*10^(-12)/log(GMD/GMRC)

    Result

    radius of conductor 0.9

    spacing between a1 & a2 in cm 500

    spacing between a1 & b2 in cm 300

    spacing between c1 & a2 in cm 500

    spacing b/w a1 & b1 or b1 & c1 in cm 250

    for calculation of inductance

    GMRL =

    18.7206

    GMD =

    334.7165

    L =

    5.7673e-007

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    for calculation of capacitance

    GMRC =

    21.2132

    C =

    2.0157e-011

    (III)

    MATLAB Program

    display('for horizontal configuration')

    r = input('radius of conductor');d = input('spacing b/w two phases')

    r1 = 0.7788*r;

    display('for calculation of inductance')

    GMRa = sqrt(r1*5*d)

    GMRb = sqrt(r1*3*d);

    GMRc = sqrt(r1*d);

    GMRL = (GMRa*GMRb*GMRc)^(1/3)

    GMDab = sqrt(d*d*4);

    GMDbc = sqrt(d*2*d);

    GMDca = sqrt(2*d*3*d);

    GMD = (GMDab*GMDbc*GMDca)^(1/3)L = 2*10^(-7)* log (GMD/GMRL)

    display('for calculation of capacitance')

    GMRa = sqrt(r*5*d)

    GMRb = sqrt(r*3*d);

    GMRc = sqrt(r*d);

    GMRC = (GMRa*GMRb*GMRc)^(1/3)

    C = 2*pi*8.85*10^(-12)/log(GMD/GMRC)

    Result

    for horizontal configuration

    radius of conductor in cm 0.9

    spacing b/w two phases in cm 350

    for calculation of inductance

    GMRa =

    35.0230

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    GMRL =

    24.5971

    GMD =

    667.2290

    L =

    6.6010e-007

    for calculation of capacitance

    GMRa =

    39.6863

    GMRC =

    27.8722

    C =

    1.7511e-011

    Ans4

    MATLAB Program -

    r = input('radius of conductor');

    Sa1c2 = input('spacing between a1 & c2');

    Sb1b2 = input('spacing between b1 & b2');

    Sc1a2 = input('spacing between c1 & a2');H12 = input('H12');

    H23 = input('H23');

    display('for calculation of inductance')

    r1 = 0/7788*r;

    Da1a2 = sqrt((Sa1c2^2)+((H12+H23)^2));

    Dc1c2 = sqrt((Sc1a2^2)+((H12+H23)^2));

    Db1b2 = Sb1b2;

    GMRa = sqrt(r1*Da1a2);

    GMRb = sqrt(r1*Db1b2);

    GMRc = sqrt(r1*Dc1c2);

    GMRL = (GMRa*GMRb*GMRc)^(1/3)Da1b1 = sqrt((H12^2)+((Sb1b2-Sa1c2)/2)^2);

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    Da1b2 = sqrt((H12^2)+((Sb1b2+Sa1c2)/2)^2);

    Db1c1 = sqrt((H23^2)+((Sb1b2-Sc1a2)/2)^2);

    Db1c2 = sqrt((H23^2)+((Sb1b2+Sc1a2)/2)^2);

    GMDab = sqrt(Da1b1*Da1b2);

    GMDbc = sqrt(Db1c1*Db1c2);

    GMDca = sqrt(Sa1c2*Sc1a2);GMD = (GMDab*GMDbc*GMDca)^(1/3)

    L = 2*10^(-7)* log (GMD/GMR)

    display('for calculation of capacitance')

    GMRa = sqrt(r*Da1a2);

    GMRb = sqrt(r*Db1b2);

    GMRc = sqrt(r*Dc1c2);

    GMRC = (GMRa*GMRb*GMRc)^(1/3)

    C = 2*pi*8.85*10^(-12)/log(GMD/GMRC)

    Result

    diameter of conductor 4.4069

    spacing between a1 & c2 16

    spacing between b1 & b2 24

    spacing between c1 & a2 17

    H12 10

    H23 9

    for calculation of inductance

    GMRL =

    6.5198

    GMD =

    15.5545

    L =

    1.7390e-007

    for calculation of capacitance

    GMRC =

    7.3879

    C =

    7.4689e-011