From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 1938/CH4/EX4.1/4_1.jpg | Bin 0 -> 711811 bytes 1938/CH4/EX4.1/4_1.sce | 9 ++++++++ 1938/CH4/EX4.10/4_10.sce | 36 ++++++++++++++++++++++++++++++ 1938/CH4/EX4.11/4_11.sce | 34 ++++++++++++++++++++++++++++ 1938/CH4/EX4.12/4_12.sce | 48 +++++++++++++++++++++++++++++++++++++++ 1938/CH4/EX4.13/4_13.sce | 22 ++++++++++++++++++ 1938/CH4/EX4.14/4_14.sce | 28 +++++++++++++++++++++++ 1938/CH4/EX4.15/4_15.sce | 21 +++++++++++++++++ 1938/CH4/EX4.16/4_16.sce | 41 ++++++++++++++++++++++++++++++++++ 1938/CH4/EX4.17/4_17.sce | 34 ++++++++++++++++++++++++++++ 1938/CH4/EX4.18/4_18.sce | 20 +++++++++++++++++ 1938/CH4/EX4.19/4_19.sce | 21 +++++++++++++++++ 1938/CH4/EX4.2/4_2.sce | 11 +++++++++ 1938/CH4/EX4.3/4_3.sce | 13 +++++++++++ 1938/CH4/EX4.4/4_4.sce | 23 +++++++++++++++++++ 1938/CH4/EX4.5/4_5.sce | 24 ++++++++++++++++++++ 1938/CH4/EX4.6/4_6.sce | 57 +++++++++++++++++++++++++++++++++++++++++++++++ 1938/CH4/EX4.7/4_7.sce | 23 +++++++++++++++++++ 1938/CH4/EX4.8/4_8.sce | 27 ++++++++++++++++++++++ 1938/CH4/EX4.9/4_9.sce | 22 ++++++++++++++++++ 20 files changed, 514 insertions(+) create mode 100755 1938/CH4/EX4.1/4_1.jpg create mode 100755 1938/CH4/EX4.1/4_1.sce create mode 100755 1938/CH4/EX4.10/4_10.sce create mode 100755 1938/CH4/EX4.11/4_11.sce create mode 100755 1938/CH4/EX4.12/4_12.sce create mode 100755 1938/CH4/EX4.13/4_13.sce create mode 100755 1938/CH4/EX4.14/4_14.sce create mode 100755 1938/CH4/EX4.15/4_15.sce create mode 100755 1938/CH4/EX4.16/4_16.sce create mode 100755 1938/CH4/EX4.17/4_17.sce create mode 100755 1938/CH4/EX4.18/4_18.sce create mode 100755 1938/CH4/EX4.19/4_19.sce create mode 100755 1938/CH4/EX4.2/4_2.sce create mode 100755 1938/CH4/EX4.3/4_3.sce create mode 100755 1938/CH4/EX4.4/4_4.sce create mode 100755 1938/CH4/EX4.5/4_5.sce create mode 100755 1938/CH4/EX4.6/4_6.sce create mode 100755 1938/CH4/EX4.7/4_7.sce create mode 100755 1938/CH4/EX4.8/4_8.sce create mode 100755 1938/CH4/EX4.9/4_9.sce (limited to '1938/CH4') diff --git a/1938/CH4/EX4.1/4_1.jpg b/1938/CH4/EX4.1/4_1.jpg new file mode 100755 index 000000000..81fdf149e Binary files /dev/null and b/1938/CH4/EX4.1/4_1.jpg differ diff --git a/1938/CH4/EX4.1/4_1.sce b/1938/CH4/EX4.1/4_1.sce new file mode 100755 index 000000000..9a0599fe3 --- /dev/null +++ b/1938/CH4/EX4.1/4_1.sce @@ -0,0 +1,9 @@ +clc,clear +printf('Example 4.1\n\n') + +Pole=4 +Slots=24 +Phase=3 //number of phases +n=Slots/Pole //slots per pole +m=Slots/Pole/Phase //slots per pole per phase +beeta=180/n //Slot angle diff --git a/1938/CH4/EX4.10/4_10.sce b/1938/CH4/EX4.10/4_10.sce new file mode 100755 index 000000000..8f7ebfb42 --- /dev/null +++ b/1938/CH4/EX4.10/4_10.sce @@ -0,0 +1,36 @@ +clc,clear +printf('Example 4.10\n\n') + +Slots=180 +Pole=12 +Ns=600 //Synchronous speen in rpm +f=Pole*Ns/120 //frequency +phi=0.05 //flux per pole in weber + +//Part(i) +//Average EMF in a conductor=2*f*phi +rms_value_1=1.11*2*f*phi //rms value of emf in a conductor +printf('(i)r.m.s value of e.m.f in a conductor is %.2f V ',rms_value_1) + +//part(ii) +//Average EMF in a turn=4*f*phi +rms_value_2=1.11*4*f*phi//r.m.s value of e.m.f in a turn +printf('\n(ii)r.m.s value of e.m.f in a turn is %.2f V ',rms_value_2) + +//part(iii) +conductors_per_coilside=10/2 +rms_value_3=rms_value_2*conductors_per_coilside //r.m.s value of e.m.f in a coil +printf('\n(iii)r.m.s value of e.m.f in a coil is %.1f V ',rms_value_3) + +//part(iv) +conductors_per_slot=10 +Z=conductors_per_slot * Slots //total number of conductors +Z_ph=Z/3 //conductors per phase +T_ph=Z_ph/2 //turns per phase +n=Slots/Pole //slots per pole +m=n/3 //slots per pole per phase +beeta=180/n //slot angle + +K_d=sind(m*beeta/2) /(m*sind(beeta/2)),K_c=1 //distribution & coil-span factor +E_ph=rms_value_2*T_ph*K_d*K_c //induced emf +printf('\n(iv)per phase induced e.m.f is %.1f V ',E_ph) diff --git a/1938/CH4/EX4.11/4_11.sce b/1938/CH4/EX4.11/4_11.sce new file mode 100755 index 000000000..105d03d46 --- /dev/null +++ b/1938/CH4/EX4.11/4_11.sce @@ -0,0 +1,34 @@ +clc,clear +printf('Example 4.11\n\n') + +Pole=8 +f=50 //frequency +phi=60*10^-3 //flux per pole in weber +Slots=96 +n=Slots/Pole //slots per pole +beeta = 180/n //slot angle +m=n/3 //slots per pole per phase + +coil_pitch=10*beeta //10 slots +alpha=180-coil_pitch +K_c=cosd(alpha/2) //coi;-span factor +K_d=sind(m*beeta/2) /(m*sind(beeta/2)) //distribution factor + +conductors_per_slot=4 +Z=Slots*conductors_per_slot //total conductors +Total_turns=Z/2 +T_ph=Total_turns/3 //turns per phase + +//part (i) +E_ph= 4.44 *K_c *K_d *phi *f *T_ph +printf('\The phase voltage is %.2f V ',E_ph) + +//part(ii) +E_line=E_ph*sqrt(3) +printf('\nThe Line Voltage is %.2f V ',E_line) + + //part(iii) +I_ph=650 +I_l=I_ph // Star Connection +kVA_rating=sqrt(3)*E_line*I_l +printf('\nkVA rating is %.1f kVA ',kVA_rating/1000) diff --git a/1938/CH4/EX4.12/4_12.sce b/1938/CH4/EX4.12/4_12.sce new file mode 100755 index 000000000..02f40a617 --- /dev/null +++ b/1938/CH4/EX4.12/4_12.sce @@ -0,0 +1,48 @@ +clc,clear +printf('Example 4.12\n\n') + +Ns=600 //synchronous speed in rpm +Pole=10 +l=30/100 //divided by 100 for centimetre-metre conversion +Pole_pitch=35/100 //numerically equal to pi*d/Pole +Phase=3 +conductors_per_slot=8 +A1=Pole_pitch*l //Area of each fundamental pole +m=3 //Slot per Pole per Phase +n=Phase*m //slots per pole +beeta=180/n //slot angle + +B_m1=1,B_m3=0.3,B_m5=0.2 //amplitude of 1st, 3rd and 5th harmonic +phi_1=(2/%pi)*A1*B_m1 //average value of fundamental flux per pole +f=Ns*Pole/120 //frequency + +Coil_span=(8/9)*180 +alpha=180-Coil_span +//pitch factor for 1st, 3rd and 5th harmonic +K_c1=cosd(alpha/2) +K_c3=cosd(3*alpha/2) +K_c5=cosd(5*alpha/2) + +// using K_dx=sin(m*x*beeta*(%pi/180)/2) /(m*sin(x*beeta*(%pi/180)/2)) +//distribution factor for 1st, 3rd and 5th harmonic +K_d1=sind(m*1*beeta/2) /(m*sind(1*beeta/2)) +K_d3=sind(m*3*beeta/2) /(m*sind(3*beeta/2)) +K_d5=sind(m*5*beeta/2) /(m*sind(5*beeta/2)) + +Slots=n*Pole +Total_conductors=conductors_per_slot * Slots +Total_turns=Total_conductors/2 +T_ph=Total_turns/3 //turns per phase + +//EMF of 1st , 3rd and 5th harmonic +E_1ph=4.44 * K_c1 * K_d1*phi_1 * f * T_ph +E_3ph= E_1ph* (B_m3*K_c3*K_d3)/(B_m1*K_c1*K_d1) +E_5ph= E_1ph* (B_m5*K_c5*K_d5)/(B_m1*K_c1*K_d1) + +// Using E_xph= E_1ph* (B_mx*K_cx*K_dx)/(B_m1*K_c1*K_d1) +E_ph=sqrt( E_1ph^2 + E_3ph^2 + E_5ph^2 ) +printf('Phase value of induced e.m.f is %.2f V ',E_ph) +E_line=sqrt(3) * sqrt( E_1ph^2 + E_5ph^2 )//no 3rd harmonic appears in line value +printf('\nline value of induced e.m.f is %.2f V ',E_line) + +printf('\n\nAnswer mismatches due to approximation') diff --git a/1938/CH4/EX4.13/4_13.sce b/1938/CH4/EX4.13/4_13.sce new file mode 100755 index 000000000..41b99f92a --- /dev/null +++ b/1938/CH4/EX4.13/4_13.sce @@ -0,0 +1,22 @@ +clc,clear +printf('Example 4.13\n\n') + +Pole=16 +phi=0.03 //flux per pole +Ns=375 //synchronous speed in rpm +f=Ns*Pole/120 //frequency +printf('frequency is %.0f Hz ',f) +Slots=144 +n=Slots/Pole //slots per pole +m=n/3 //slots per pole per phase +beeta=180/n //slot angle +K_c=1 //assuming Full-Pitch coil +Conductors_per_slot=10 +K_d=sind(m*beeta/2) /(m*sind(beeta/2)) //distribution factor + +Total_conductors=Slots*Conductors_per_slot +Total_turns=Total_conductors/2 +T_ph=Total_turns/3 //turns per phase +E_ph=4.44* K_c* K_d*phi* f* T_ph +E_line=E_ph*sqrt(3) +printf('\nline voltage is %.2f V ',E_line) diff --git a/1938/CH4/EX4.14/4_14.sce b/1938/CH4/EX4.14/4_14.sce new file mode 100755 index 000000000..0bf84be33 --- /dev/null +++ b/1938/CH4/EX4.14/4_14.sce @@ -0,0 +1,28 @@ +clc,clear +printf('Example 4.14\n\n') + +Ns=250 //Speed in rpm +f=50 //frequency +I_l=100 +Slots=216 +Conductors_per_slot=5 +Pole=120*f/Ns +phi=30*10^-3//flux per pole in weber +Z=Slots*Conductors_per_slot //Total Conductors +Z_ph=Z/3 //conductors per phase +T_ph=Z_ph/2 //turns per phase +n=Slots/Pole //slots per pole +m=n/3 //slots per pole per phase +beeta=180/n //Slot angle + +K_d=sind(m*beeta/2) /(m*sind(beeta/2)) //distribution factor + +e_av=2*f*phi //Average Value of EMF in each conductor +E_c=1.11*(2*f*phi) //RMS value of EMF in each conductor +E=2*E_c*K_d //RMS value of EMF in each turn +E_ph=T_ph*E //RMS value of EMF in each phase +E_line= E_ph*sqrt(3) //As Star Connected Alternator +printf('RMS value of EMF in each phase = %.3f V\n',E_ph) +printf('RMS value of EMF line value = %.3f V\n',E_line) +kVA_rating=sqrt(3)*E_line*I_l +printf('\nkVA rating is %.3f kVA ',kVA_rating/1000) diff --git a/1938/CH4/EX4.15/4_15.sce b/1938/CH4/EX4.15/4_15.sce new file mode 100755 index 000000000..fd013fe12 --- /dev/null +++ b/1938/CH4/EX4.15/4_15.sce @@ -0,0 +1,21 @@ +clc,clear +printf('Example 4.15\n\n') + +Pole=10 +Slots=90 +E_l=11000 +f=50 +phi=0.15 //flux per pole in weber +n=Slots/Pole //slots per pole +m=n/3 //slots per pole per phase +beeta=180/n //slot angle + +K_d=sind(m*beeta/2) /(m*sind(beeta/2)) //distribution factor +K_c=1 //coil span factor + +E_ph=E_l/sqrt(3) +T_ph=floor( E_ph/(4.44*K_c*K_d*phi*f) ) +//T_ph should necessarily be an integer + +Z_ph=(T_ph)*2 +printf('Required number of armature conductors is %d',Z_ph) diff --git a/1938/CH4/EX4.16/4_16.sce b/1938/CH4/EX4.16/4_16.sce new file mode 100755 index 000000000..6be2bff7c --- /dev/null +++ b/1938/CH4/EX4.16/4_16.sce @@ -0,0 +1,41 @@ +clc,clear +printf('Example 4.16\n\n') + +Pole=10 +Ns=600 //speen in rpm +conductor_per_slot=8 +n=12 //slots per pole +Slots=Pole*n +m=n/3 //slots per pole per phase +beeta=180/n //slot angle +alpha=2*beeta //short by 2 slots + +//flux per pole corresponding to 1st,3rd and 5th harmonic +phi_1=100*10^-3 +phi_3=(33/100)*phi_1 +phi_5=(20/100)*phi_1 + +//coil span factor corresponding to 1st,3rd and 5th harmonic +K_c1=cosd( alpha/2) +K_c3=cosd( 3*alpha/2) +K_c5=cosd( 5*alpha/2) + +// using K_dx=sin(m*x*beeta /2) /(m*sin(x*beeta /2)) +//distribution factor corresponding to 1st,3rd and 5th harmonic +K_d1=sind(m*1*beeta/2) /(m*sind(1*beeta /2)) +K_d3=sind(m*3*beeta/2) /(m*sind(3*beeta /2)) +K_d5=sind(m*5*beeta/2) /(m*sind(5*beeta /2)) + +Z=conductor_per_slot*n*Pole //Total Conductors +Zph=Z/3 //conductors per phase +T_ph=Zph/2 //turns per phase + +f=Ns*Pole/120 +E_1ph=4.44*K_c1*K_d1*phi_1*f*T_ph +E_3ph=4.44*K_c3*K_d3*phi_3*f*T_ph +E_5ph=4.44*K_c5*K_d5*phi_5*f*T_ph + +E_ph=sqrt( E_1ph^2 + E_3ph^2 + E_5ph^2 ) +printf('Phase value of induced e.m.f is %.0f V ',E_ph) +E_line=sqrt(3)*sqrt( E_1ph^2 + E_5ph^2 ) //In a line value,3rd harmonic doesnt appear +printf('\nline value of induced e.m.f is %.0f V ',E_line) diff --git a/1938/CH4/EX4.17/4_17.sce b/1938/CH4/EX4.17/4_17.sce new file mode 100755 index 000000000..2fbd61a45 --- /dev/null +++ b/1938/CH4/EX4.17/4_17.sce @@ -0,0 +1,34 @@ +clc,clear +printf('Example 4.17\n\n') + +Pole=6 +Ns=1000 //speed in rpm +d=28/100 //Divided by 100 to convert from centimeters to metres +l=23/100 //Divided by 100 to convert from centimeters to metres +m=4 //slots per pole per phase +B_m1=0.87 //amplitude of 1st harmonic component of flux density +B_m3=0.24 //amplitude of 3rd harmonic component of flux density +Conductors_per_slot=8 +f=Ns*Pole/120 //frequency +A1=%pi*d*l/Pole //area of each fundamental pole +phi_1=(2/%pi)*A1*B_m1 //flux per pole in weber +n=m*3 //slots per pole +beeta=180/n //slot angle +alpha=beeta //because of 1 slot short +K_c1=cosd(alpha/2) //coil span factor corresponding to 1st harmonic +K_c3=cosd(3*alpha/2)//coil span factor corresponding to 3rd harmonic +// using K_dx=sin(m*x*beeta*(%pi/180)/2) /(m*sin(x*beeta*(%pi/180)/2)) +K_d1=sind(m*1*beeta/2) /(m*sind(1*beeta/2)) //distribution factor corresponding to 1st harmonic +K_d3=sind(m*3*beeta/2) /(m*sind(3*beeta/2)) //distribution factor corresponding to 3rd harmonic + +Slots=n*Pole +Z=Slots*Conductors_per_slot //total number of conductors +Z_ph=Z/3 //conductors per phase +T_ph=Z_ph/2 //turns per phase + +E_1ph=4.44*K_c1*K_d1*phi_1*f*T_ph +E_3ph=E_1ph* (B_m3*K_c3*K_d3)/(B_m1*K_c1*K_d1) //using E_xph=E_1ph* (B_mx*K_cx*K_dx)/(B_m1*K_c1*K_d1) +E_ph=sqrt( E_1ph^2 + E_3ph^2 ) +printf('r.m.s value of resultant voltage is %.1f V',E_ph) +E_line=sqrt(3)*E_1ph //For line Value, 3rd harmonic does not appear +printf('\nline voltage is %.3f V',E_line) diff --git a/1938/CH4/EX4.18/4_18.sce b/1938/CH4/EX4.18/4_18.sce new file mode 100755 index 000000000..c2b91553a --- /dev/null +++ b/1938/CH4/EX4.18/4_18.sce @@ -0,0 +1,20 @@ +clc,clear +printf('Example 4.18\n\n') + +V_L=125 +V_ph=V_L +VA=600*10^3 +I_L=VA/(sqrt(3)*V_L) // Because VA=sqrt(3)* V_L * I_L +I_ph=I_L/(sqrt(3)) + +//After Reconnection +V_ph=125 +V_L=V_ph*sqrt(3) +printf('New rating in volts is %.3f V',V_L) +//Winding Impedances remain the same +I_ph=1600 +I_L=I_ph + +printf('\nNew rating in amperes is %.0f A',I_L) +kVA=sqrt(3)*V_L*I_L*(10^-3) +printf('\nNew rating in kVA is %.0f kVA',kVA) diff --git a/1938/CH4/EX4.19/4_19.sce b/1938/CH4/EX4.19/4_19.sce new file mode 100755 index 000000000..8f6238b27 --- /dev/null +++ b/1938/CH4/EX4.19/4_19.sce @@ -0,0 +1,21 @@ +clc,clear +printf('Example 4.19\n\n') + +Pole=4 +f=50 //frequency +phi=0.12 //flux per pole in weber +m=4 // slot per pole per phase +conductor_per_slot=4 +coilspan=150 +Ns=120*f/Pole //synchronous speed in rpm +n=m*3 //Slots per pole +beeta=180/n //slot angle +K_d=sind(m*beeta/2) /(m*sind(beeta/2)) // distribution factor +alpha=180-coilspan //angle of short pitch +K_c=cos((%pi/180)*alpha/2) //coil span factor +Z=m*(n*Pole) // Also equal to (conductors/slots)*slots +Z_ph=Z/3 //conductors per phase +T_ph=Z_ph/2 //turns per phase +E_ph=4.44*K_c*K_d*phi*f*T_ph +E_line=sqrt(3)*E_ph +printf('e.m.f generated is %.2f V(phase),%.2f V(line)',E_ph,E_line) diff --git a/1938/CH4/EX4.2/4_2.sce b/1938/CH4/EX4.2/4_2.sce new file mode 100755 index 000000000..70a3e9d17 --- /dev/null +++ b/1938/CH4/EX4.2/4_2.sce @@ -0,0 +1,11 @@ +clc,clear +printf('Example 4.2\n\n') + +Slots=120 +Pole=8 +Phase=3 //number of phases +n=Slots/Pole //Slots per Pole +m=Slots/Pole/Phase //Slots per Pole per Phase +beeta=180/n //Slot angle in degree +K_d=sind(m*beeta/2) /(m*sind(beeta/2)) //Distribution Factor +printf('Distribution Factor:\nK_d=%.3f',K_d) diff --git a/1938/CH4/EX4.3/4_3.sce b/1938/CH4/EX4.3/4_3.sce new file mode 100755 index 000000000..ee761fd17 --- /dev/null +++ b/1938/CH4/EX4.3/4_3.sce @@ -0,0 +1,13 @@ +clc,clear +printf('Example 4.3\n\n') + +Slots=36 +Pole=4 +Phase=3 //number of phases +n=Slots/Pole //Slots per pole +beeta=180/n //Slot angle in degrees + +//coil is shorted by 1 slot i.e. by beeta degrees to full pitch distance +alpha=beeta //angle of short pitch +K_c=cosd(alpha/2) //Coil span Factor +printf('Coil Span Factor:\nK_c=%.4f',K_c) diff --git a/1938/CH4/EX4.4/4_4.sce b/1938/CH4/EX4.4/4_4.sce new file mode 100755 index 000000000..524bdef24 --- /dev/null +++ b/1938/CH4/EX4.4/4_4.sce @@ -0,0 +1,23 @@ +clc,clear +printf('Example 4.4\n\n') + +N_s=250 //Synchronous speed in r.p.m +f=50 //Frequency of generated e.m.f in hertz +Slots=216 +phi=30*10^-3 //flux per pole in weber + +Pole=120*f/N_s +n=Slots/Pole //Slots per Pole +m=n/3 //Slots per Pole per Phase +beeta=180/n //Slot angle in degree + +K_d=sind(m*beeta/2)/(m*sind(beeta/2)) //distribution factor +K_c=1 //Coil Span Factor for full pitch coils=1 + +Z=Slots*5 //Z is total no of conductors +Z_ph=Z/3 //Conductors Per Phase +T_ph=Z_ph/2 //Turns per phase +E_ph=4.44*K_c*K_d*f*phi*T_ph //induced emf +E_line=E_ph*sqrt(3) + +printf('Induced e.m.f across the Terminals is %.2f V',E_line) diff --git a/1938/CH4/EX4.5/4_5.sce b/1938/CH4/EX4.5/4_5.sce new file mode 100755 index 000000000..cb0e6c5cf --- /dev/null +++ b/1938/CH4/EX4.5/4_5.sce @@ -0,0 +1,24 @@ +clc,clear +printf('Example 4.5\n\n') + +Pole=16 +N_s=375 //synchronous speed in rpm +Slots=144 +E_line=2.657*10^3 //line value of emf across terminals +f=Pole*N_s/120 //frequency + +K_c=1 //assuming full pitch winding,Coil span Factor=1 +n=Slots/Pole //slots per pole +m=n/3 //slots per pole per phase + +beeta=180/n +K_d=sind(m*beeta/2) /(m*sind(beeta/2)) //Distribution Fcator +conductors_per_slot=10 +Z=Slots*conductors_per_slot //total conductors + +Z_ph=Z/3 //number of conductors per phase +T_ph=Z_ph/2 //no of turns per phase +E_ph=E_line/sqrt(3) //phase value of emf across terminals + +phi=E_ph/(4.44*K_c*K_d*f*T_ph) //E_ph=4.44*K_c*K_d*f*phi*T_ph +printf('Frequency of Induced e.m.f is %.0fHz\nFlux per Pole is %.0f mWb',f,phi*1000) diff --git a/1938/CH4/EX4.6/4_6.sce b/1938/CH4/EX4.6/4_6.sce new file mode 100755 index 000000000..f6e63dfe9 --- /dev/null +++ b/1938/CH4/EX4.6/4_6.sce @@ -0,0 +1,57 @@ +clc,clear +printf('Example 4.6\n\n') + +d=0.25 //Diameter in metre +l=0.3 //Length in metre +Pole=4 +A1=%pi*d*l/Pole //Area of each fundamental pole +f=50 //frequency in hertz +B_m1=0.15 , B_m3=0.03, B_m5=0.02 //Amplitude of 1st, 3rd and 5th harmonics +phi_1=(2/%pi)*B_m1*A1 //average value of fundamental flux per pole in weber + +//PART A +E_c1=1.11*2*f*phi_1 //R.M.S value of fundamental frequency e.m.f generated in single conductor +Coil_span=(13/15)*180 //since winding coil span is 13/15 of pole pitch +alpha=180-Coil_span + +//Pitch factor for 1st, 3rd and 5th harmonic +K_c1=cosd(alpha/2) +K_c3=cosd(3*alpha/2) +K_c5=cosd(5*alpha/2) + +//Using E_cx=E_c1 * (B_mx/B_m1) +E_c3=E_c1 * (B_m3/B_m1) +E_c5=E_c1 * (B_m5/B_m1) + +E_t1=K_c1 * (2*E_c1) //R.M.S Vaue of fundamental frequency EMF generated in 1 turn (in volts) +E_t3=K_c3 * 2*E_c3 +E_t5=K_c5 * 2*E_c5 +E_t=sqrt(E_t1^2 +E_t3^2 +E_t5^2) +V=10*E_t //(number of turns per coil )* (Total e.m.f per turn) +printf('Voltage generated per coil is %.1f V',V) + +// PART B +//E_1ph=4.44*K_c1*K_d1*phi_1*f*T_ph +T_ph=200 //T_ph=(60 coils * 10 turns per coil)/3 + +Total_Conductors=1200 // 60 coils * 10 turns per coil * 2 +Conductors_per_Slot=20 //2 conductors per turn * 10 turns per slot +Slots=Total_Conductors/Conductors_per_Slot + +n=Slots/Pole +m=n/3 +beeta=180/n //Slot angle in degree +K_d1=sind(m*1*beeta/2) /(m*sind(1*beeta/2)) +K_d3=sind(m*3*beeta/2) /(m*sind(3*beeta/2)) +K_d5=sind(m*5*beeta/2) /(m*sind(5*beeta/2)) + +E_1ph=4.44 * K_c1 * K_d1*phi_1 * f * T_ph +// Using E_xph= E_1ph* (B_mx*K_cx*K_dx)/(B_m1*K_c1*K_d1) +E_3ph= E_1ph* (B_m3*K_c3*K_d3)/(B_m1*K_c1*K_d1) +E_5ph= E_1ph* (B_m5*K_c5*K_d5)/(B_m1*K_c1*K_d1) +E_ph=sqrt( E_1ph^2 + E_3ph^2 + E_5ph^2 ) //voltage generated per phase +printf('\nVoltage generated per phase is %.0f V',E_ph) + + //PART c +E_line=sqrt(3) * sqrt( E_1ph^2 + E_5ph^2 ) //terminal voltage +printf('\nTerminal Voltage is %.1f V ',E_line) diff --git a/1938/CH4/EX4.7/4_7.sce b/1938/CH4/EX4.7/4_7.sce new file mode 100755 index 000000000..f88178218 --- /dev/null +++ b/1938/CH4/EX4.7/4_7.sce @@ -0,0 +1,23 @@ +clc,clear +printf('Example 4.7\n\n') + +Ns=250 //Synchronous speed in rpm +f=50 +Slots=288 +E_line=6600 +Pole=120*f/Ns +n=Slots/Pole //slots per pole +m=n/3 //slots per pole per phase +beeta=180/n //slot angle +conductors_per_slot=32 //16 conductors per coil-side *2 coil-sides per slot + +K_d=sind(m*beeta/2) /(m*sind(beeta/2)) //distribution factor +alpha=2*beeta// angle of short pitch +K_c=cosd(alpha/2) //coil span factor +Z = Slots*conductors_per_slot //total conductors +Z_ph=Z/3 //Conductors per phase +T_ph=Z_ph/2 //turns per phase + +E_ph=E_line/sqrt(3) +phi=E_ph/(4.44*K_c*K_d*f*T_ph) //Because E_ph=4.44 *K_c *K_d *phi *f *T_ph +printf('Flux per pole is %.0f mWb ',phi*1000) diff --git a/1938/CH4/EX4.8/4_8.sce b/1938/CH4/EX4.8/4_8.sce new file mode 100755 index 000000000..7f54cb405 --- /dev/null +++ b/1938/CH4/EX4.8/4_8.sce @@ -0,0 +1,27 @@ +clc,clear +printf('Example 4.8\n\n') + +Ns=1500 //synchronous speed in rpm +Pole=4 +Slots=24 +conductor_per_slot=8 +phi=0.05 //flux per pole in weber +f=Pole*Ns/120 //frequenccy +n=Slots/Pole //slots per pole +m=n // as number of phases is 1 +beeta=180/n //slot angle + +K_d=sind(m*beeta/2) /(m*sind(beeta/2)) //distribution factor + +//Full pitch= n =6 slots +//(1/6)th of full pitch =1slot +//angle of short pitch = 1 slot angle +alpha=beeta +K_c=cosd(alpha/2) //coil span factor + +Z=conductor_per_slot*Slots //total conductors +Z_ph=Z // as number of phases is 1 +T_ph=Z_ph/2 //turns per phase +E_ph=4.44*K_c*K_d* phi *f *T_ph //induced emf + +printf('Induced e.m.f is %.1f V ',E_ph) diff --git a/1938/CH4/EX4.9/4_9.sce b/1938/CH4/EX4.9/4_9.sce new file mode 100755 index 000000000..c8fef19da --- /dev/null +++ b/1938/CH4/EX4.9/4_9.sce @@ -0,0 +1,22 @@ +clc,clear +printf('Example 4.9\n\n') + +Pole=48 +n=9 //slots per pole +phi=51.75*10^-3 //flux per pole in weber +Ns=125 +f=Ns*Pole/120 //frequency +K_c=1 //due to full pitch winding +m=n/3 //slots per pole per phase +beeta=180/n //slot angle + +K_d=sind(m*beeta/2) /(m*sind(beeta/2)) //distribution factor +conductor_per_slot=4*2 //Each slot has 2 coil sides and each coil side has 4 conductors +Slots=n*Pole +Z=conductor_per_slot*Slots //total number of conductors +Z_ph=Z/3 //conductors per phase +T_ph=Z_ph/2 //turns per phase +E_ph=4.44 *K_c *K_d *phi *f *T_ph //induced emf + +E_line=(sqrt(3))*E_ph //due to star connection +printf('Induced e.m.f is %.0f kV ',E_line/1000) -- cgit