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-rwxr-xr-x | Working_Examples/83/CH12/EX12.12/example_12_12.sce | 97 | ||||
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diff --git a/Working_Examples/83/CH12/EX12.12/example_12_12.sce b/Working_Examples/83/CH12/EX12.12/example_12_12.sce new file mode 100755 index 0000000..647cf0a --- /dev/null +++ b/Working_Examples/83/CH12/EX12.12/example_12_12.sce @@ -0,0 +1,97 @@ +//Chapter 12 +//Example 12.12 +//page 500 +//To plot swing curves for single pole and three pole switching +clear;clc; + +Xg0=0.1;Xg1=0.3;Xg2=0.15;E=1.2;H=4.167; +Xt=0.1; +Xl0=1.0;Xl1=0.3;Xl2=0.3;V=1; + +//transfer reactance during LG fault(fault not cleared) by star delta transformation is given by +X12_fault=1.45; + +//transfer reactance after LG faulted line open is given by +X12_fault_open=1.22; + +//transfer reactance when all the lines are healthy is given by +X12_healthy=0.8; + +//power angle equations +delta=0:0.1:180; + +//Prefault condition +Pe1=(E*V)*sind(delta)/X12_healthy; +//for an initial load of 1PU +delta0=asind(1/1.5); + +//during fault +Pe2=(E*V)*sind(delta)/X12_fault; + +//during single pole switching +Pe3=(E*V)*sind(delta)/X12_fault_open; + +//during three pole switching +Pe4=0; + +//after reclosure +Pe5=Pe1; + +Pm=1.0; + +//xdot function defining the swing equations of machine during single poling +function xdot=mac_1_pole(t,x,tc,tr) + xdot(1)=x(2); + if (t<=tc) then + xdot(2)=180*50*(Pm-(0.827*sind(x(1))))/12; //swing equation before clearing the faulted line + elseif (t>tc)&(t<tr) then + xdot(2)=180*50*(Pm-(0.985*sind(x(1))))/12;//swing equation during single pole switching + elseif (t>=tr) then + xdot(2)=180*50*(Pm-(1.5*sind(x(1))))/12; //after reclosure + end +endfunction + +//xdot function defining the swing equations of machine during three poling +function xdot=mac_3_pole(t,x,tc,tr) + xdot(1)=x(2); + if (t>tc)&(t<tr) then + xdot(2)=180*50*(Pm-0)/4.167;//swing equation during three pole switching + elseif (t<=tc) then + xdot(2)=180*50*(Pm-(0.827*sind(x(1))))/4.167; //swing equation before clearing the faulted line + elseif (t>=tr) then + xdot(2)=180*50*(Pm-(1.5*sind(x(1))))/4.167; //after reclosure + end +endfunction + +//to find the solution of swing equation to draw the swing curves + +//to draw the swing curves for three pole switching with reclosure +subplot(2,1,1) +x_1_0=[41.8,0]';t0=0; T=0:0.001:0.65;T=T'; +tc=0.075;tr=0.325; +sol1=ode(x_1_0,t0,T,mac_3_pole); +plot(T,sol1(1,:)'); +set(gca(),"grid",[1 1]); +title('Swing Curve for three pole switching at '+string(tc)+' s'+' and reclosure at '+string(tr)+' s','fontsize',3); +xset("font size",3) +xstring(0.2,300,'MACHINE UNSTABLE'); +xlabel('Time (in seconds)----->'); +ylabel('Torque Angle (delta,deg)----->'); + +//to draw the swing curves for single pole switching with reclosure +subplot(2,1,2) +x_1_0=[41.8,0]';t0=0; T=0:0.001:2.2;T=T'; +tc=0.075;tr=0.325; +sol2=ode(x_1_0,t0,T,mac_1_pole); +plot(T,sol2(1,:)'); +set(gca(),"grid",[1 1]); +title('Swing Curve for single pole switching at '+string(tc)+' s'+' and reclosure at '+string(tr)+' s','fontsize',3); +xset("font size",3) +xstring(1.2,50,'MACHINE STABLE'); +xlabel('Time (in seconds)----->'); +ylabel('Torque Angle (delta,deg)----->'); + +f=get("current_figure"); +f.figure_position=[0,15]; +f.figure_size=[560,1000]; + diff --git a/Working_Examples/83/CH12/EX12.12/result_12_12.jpeg b/Working_Examples/83/CH12/EX12.12/result_12_12.jpeg Binary files differnew file mode 100755 index 0000000..8614513 --- /dev/null +++ b/Working_Examples/83/CH12/EX12.12/result_12_12.jpeg |