diff options
Diffstat (limited to 'Working_Examples/83/CH4')
-rwxr-xr-x | Working_Examples/83/CH4/EX4.1/example_4_1.sce | 43 | ||||
-rwxr-xr-x | Working_Examples/83/CH4/EX4.1/result_example_4_1.txt | 18 | ||||
-rwxr-xr-x | Working_Examples/83/CH4/EX4.2/example_4_2.sce | 43 | ||||
-rwxr-xr-x | Working_Examples/83/CH4/EX4.2/result_example_4_2.txt | 32 | ||||
-rwxr-xr-x | Working_Examples/83/CH4/EX4.3/example_4_3.sce | 24 | ||||
-rwxr-xr-x | Working_Examples/83/CH4/EX4.3/result_example_4_3.txt | 5 | ||||
-rwxr-xr-x | Working_Examples/83/CH4/EX4.4/example_4_4.sce | 50 | ||||
-rwxr-xr-x | Working_Examples/83/CH4/EX4.4/result_example_4_4.txt | 14 |
8 files changed, 229 insertions, 0 deletions
diff --git a/Working_Examples/83/CH4/EX4.1/example_4_1.sce b/Working_Examples/83/CH4/EX4.1/example_4_1.sce new file mode 100755 index 0000000..bc919b4 --- /dev/null +++ b/Working_Examples/83/CH4/EX4.1/example_4_1.sce @@ -0,0 +1,43 @@ +//Chapter 4 +//Example 4.1 +//page 103 +// to draw the per unit reactance diagram +clear;clc; +mvab=30; kvb=33; //MVA base and KVA base are selected + +gen1_mva=30; gen1_kv=10.5; gen1_x=1.6; //Generator No.1 details +gen2_mva=15; gen2_kv=6.6; gen2_x=1.2; //Generator No.2 details +gen3_mva=25; gen3_kv=6.6; gen3_x=0.56; //Generator No.3 details + +t1_mva=15; t1_hv=33; t1_lv=11; t1_x=15.2; //Transformer T1 details +t2_mva=15; t2_hv=33; t2_lv=6.2; t2_x=16; //Transformer T1 details + +tl_x=20.5; //Transmission line recatance + +//Loads are neglected as said in the problem + +tl_pu=(tl_x*mvab)/kvb^2; +t1_pu=(t1_x*mvab)/kvb^2; +t2_pu=(t2_x*mvab)/kvb^2; +gen1_kv_base=t1_lv; +gen1_pu=(gen1_x*mvab)/gen1_kv_base^2; +gen2_kv_base=t2_lv; +gen2_pu=(gen2_x*mvab)/gen2_kv_base^2; +gen3_pu=(gen3_x*mvab)/gen2_kv_base^2; + +//diplaying the results on console + +printf('Per unit impedance of the components of the given power system are as follows :\n\n'); + +printf('Transmission line: %0.3f \n\n',tl_pu); + +printf('Transformer T1: %0.3f \n\n',t1_pu); + +printf('Transformer T2: %0.3f \n\n',t2_pu); + +printf('Generator 1: %0.3f \n\n',gen1_pu); + +printf('Generator 2: %0.3f \n\n',gen2_pu); + +printf('Generator 3: %0.3f \n\n',gen3_pu); + diff --git a/Working_Examples/83/CH4/EX4.1/result_example_4_1.txt b/Working_Examples/83/CH4/EX4.1/result_example_4_1.txt new file mode 100755 index 0000000..975ce31 --- /dev/null +++ b/Working_Examples/83/CH4/EX4.1/result_example_4_1.txt @@ -0,0 +1,18 @@ + +Per unit impedance of the components of the given power system are as follows : + +Transmission line: 0.565 + +Transformer T1: 0.419 + +Transformer T2: 0.441 + +Generator 1: 0.397 + +Generator 2: 0.937 + +Generator 3: 0.437 + + + Execution done. + diff --git a/Working_Examples/83/CH4/EX4.2/example_4_2.sce b/Working_Examples/83/CH4/EX4.2/example_4_2.sce new file mode 100755 index 0000000..31701df --- /dev/null +++ b/Working_Examples/83/CH4/EX4.2/example_4_2.sce @@ -0,0 +1,43 @@ +//Chapter 4 +//Example 4.2 +//page 104 +// To draw the per unit reactance diagram when pu values are specified based on euipment rating +clear;clc; +mvab=30; kvb=11; //MVA base and KVA base are selected in the circuit of generator 1 + +gen1_mva=30; gen1_kv=10.5; gen1_x=0.435; //Generator No.1 details +gen2_mva=15; gen2_kv=6.6; gen2_x=0.413; //Generator No.2 details +gen3_mva=25; gen3_kv=6.6; gen3_x=0.3214; //Generator No.3 details + +t1_mva=15; t1_hv=33; t1_lv=11; t1_x=0.209; //Transformer T1 details +t2_mva=15; t2_hv=33; t2_lv=6.2; t2_x=0.220; //Transformer T1 details + +tl_x=20.5; //Transmission line recatance + +//Loads are neglected as said in the problem + +tl_pu=(tl_x*mvab)/t1_hv^2; +t1_pu=t1_x*(mvab/t1_mva); +t2_pu=t2_x*(mvab/t2_mva); +gen1_pu=gen1_x*(mvab/gen1_mva)*(gen1_kv/kvb)^2; +gen2_kv_base=t2_lv; +gen2_pu=gen2_x*(mvab/gen2_mva)*(gen2_kv/gen2_kv_base)^2; +gen3_kv_base=t2_lv; +gen3_pu=gen3_x*(mvab/gen3_mva)*(gen3_kv/gen3_kv_base)^2; + +//diplaying the results on console + +printf('Per unit impedance of the components of the given power system are as follows :\n\n'); + +printf('Transmission line: %0.3f \n\n',tl_pu); + +printf('Transformer T1: %0.3f \n\n',t1_pu); + +printf('Transformer T2: %0.3f \n\n',t2_pu); + +printf('Generator 1: %0.3f \n\n',gen1_pu); + +printf('Generator 2: %0.3f \n\n',gen2_pu); + +printf('Generator 3: %0.3f \n\n',gen3_pu); + diff --git a/Working_Examples/83/CH4/EX4.2/result_example_4_2.txt b/Working_Examples/83/CH4/EX4.2/result_example_4_2.txt new file mode 100755 index 0000000..30c5370 --- /dev/null +++ b/Working_Examples/83/CH4/EX4.2/result_example_4_2.txt @@ -0,0 +1,32 @@ + +Per unit impedance of the components of the given power system are as follows : + +Transmission line: 0.565 + +Transformer T1: 0.418 + +Transformer T2: 0.440 + +Generator 1: 0.396 + +Generator 2: 0.936 + +Generator 3: 0.437 + +Per unit impedance of the components of the given power system are as follows : + +Transmission line: 0.565 + +Transformer T1: 0.419 + +Transformer T2: 0.441 + +Generator 1: 0.397 + +Generator 2: 0.937 + +Generator 3: 0.437 + + + Execution done. + diff --git a/Working_Examples/83/CH4/EX4.3/example_4_3.sce b/Working_Examples/83/CH4/EX4.3/example_4_3.sce new file mode 100755 index 0000000..9c72377 --- /dev/null +++ b/Working_Examples/83/CH4/EX4.3/example_4_3.sce @@ -0,0 +1,24 @@ +//Taking Base value MVA and KVA +clear;clc; +mvab=645; //Base MVA in 3-phase +kvb=24; //Base KV,line-to-line + +vl=24/kvb; //Load voltage +xs=1.2; +xs=(xs*mvab)/kvb^2; // xs converted to its pu + +//since the generator is operating at full load & 0.9pf +pf_angle=acos(0.9); +Ia=1*(cos(pf_angle)-%i*sin(pf_angle)); //load current +//to find excitation emf +ef=vl+%i*xs*Ia; +delta=atand(imag(ef)/real(ef));//positive for leading +ef=abs(ef)*kvb; //pu to actual unit conversion + if(delta>0) then lead_lag='leading'; + else lead_lag='lagging'; + end +printf('Excitation emf= %0.2f kV at an angle %0.3f (%s) \n\n',ef,delta,lead_lag); +//to find reactive power drawn by load +Q=vl*abs(imag(Ia)); +Q=Q*mvab; //pu to actual unit conversion +printf('Reactive power drawn by laod= %d MVAR',Q); diff --git a/Working_Examples/83/CH4/EX4.3/result_example_4_3.txt b/Working_Examples/83/CH4/EX4.3/result_example_4_3.txt new file mode 100755 index 0000000..17267b8 --- /dev/null +++ b/Working_Examples/83/CH4/EX4.3/result_example_4_3.txt @@ -0,0 +1,5 @@ + +Excitation emf= 47.86 kV at an angle 37.331 (leading) + +Reactive power drawn by laod= 281 MVAR + diff --git a/Working_Examples/83/CH4/EX4.4/example_4_4.sce b/Working_Examples/83/CH4/EX4.4/example_4_4.sce new file mode 100755 index 0000000..064e191 --- /dev/null +++ b/Working_Examples/83/CH4/EX4.4/example_4_4.sce @@ -0,0 +1,50 @@ +//Taking Base value MVA and KVA +clear;clc; +global mvab +mvab=645; //Base MVA in 3-phase +kvb=24; //Base KV,line-to-line +vt=24/kvb; //Terminal voltage +xs=1.2; +xs=(xs*mvab)/kvb^2; // xs converted to its pu + +//since the generator is operating at full load & 0.9pf +pf_angle=acos(0.9); +Ia=1*(cos(pf_angle)-%i*sin(pf_angle)); //load current +//to find excitation emf +ef=vt+%i*xs*Ia; +ef=abs(ef); +P=1*0.9; //at Full load + +/////// writing an inline function ///////////////// +function [pf,lead_lag,Q]=excitation_change(P,ef,vt,xs) +sin_delta=(P*xs)/(ef*vt); +delta=asind(sin_delta); +ef0=ef*(cosd(delta)+(%i*sind(delta))); +Ia=(ef0-vt)/(%i*xs); +Ia_mag=abs(Ia);Ia_ang=atand(imag(Ia)/real(Ia)); // Magnitude and angle of Ia +pf=cosd(abs(Ia_ang)); +if(Ia_ang>0) then lead_lag='leading'; + elseif (Ia_ang==0) then lead_lag='unity pf' + else lead_lag='lagging'; + end +Q=vt*Ia_mag*sind(abs(Ia_ang)); +Q=abs(Q)*mvab; +endfunction +//////////////////////////////////////////////////////// + + +// First Case when Ef is increased by 20% at same real load now + ef1=ef*1.2; +[pf1,lead_lag1,Q1]=excitation_change(P,ef1,vt,xs); +disp("Case (i): When Ef is increased by 20% "); +printf('\n\tPower factor pf= %0.2f %s \n',pf1,lead_lag1); +printf('\tReactive power drawn by the load = %0.1f MVAR \n',Q1); + +//Second Case when Ef is decreased by 20% at same real load now + ef2=ef*0.8; +[pf2,lead_lag2,Q2]=excitation_change(P,ef2,vt,xs); +disp("Case (ii): When Ef is decreased by 20% "); +printf('\n\tPower factor pf= %0.2f %s \n',pf2,lead_lag2); +printf('\tReactive power drawn by the load = %0.1f MVAR \n',Q2); + +disp('The answers given here are exact values.Textbook answers has an approximation of upto 2 decimal places on Xs,Ia,pf. '); diff --git a/Working_Examples/83/CH4/EX4.4/result_example_4_4.txt b/Working_Examples/83/CH4/EX4.4/result_example_4_4.txt new file mode 100755 index 0000000..7e86950 --- /dev/null +++ b/Working_Examples/83/CH4/EX4.4/result_example_4_4.txt @@ -0,0 +1,14 @@ + + + Case (i): When Ef is increased by 20% + + Power factor pf= 0.75 lagging + Reactive power drawn by the load = 511.2 MVAR + + Case (ii): When Ef is decreased by 20% + + Power factor pf= 1.00 lagging + Reactive power drawn by the load = 19.5 MVAR + + The answers given here are exact values.Textbook answers has an approximat + ion of upto 2 decimal places on Xs,Ia,pf. |