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clear
clc
clf
Sb = 50;
S=50;
V =1;
Xd = 0.2;
X1 =0.4;
X2 = 0.4;
H = 2.7;
E=1.05 ;
G=1;
M = G*H/(180*50);
pe0 = (E*V/X1);
d0=asind(S/(Sb*pe0 ));
Pe0=pe0 * sind(d0);
pe1 = (E*V/(X1+X2+Xd));
pe2 = (E*V/(X1+Xd));
dt=.05
c_1=dt*dt/M
for i=1:14
if i==1 then
m_t(i)=0;
m_Pm(i)=Pe0
m_sind(i)=sind(d0)
m_Pe(i)=S/Sb
m_Pa(i)=0
m_cPe(i)=c_1 * m_Pa(i)
m_dd(i)=0
m_d(i)=d0
else if i==2 then
m_t(i)=0;
m_Pm(i)=pe1
m_d(i)=d0
m_sind(i)=sind(m_d(i))
m_Pe(i)=m_sind(i)*m_Pm(i)
m_Pa(i)=(1 - m_Pe(i) + m_Pa(i-1))/2
m_cPe(i)=c_1 * m_Pa(i)
m_dd(i)=0
else
m_t(i)=m_t(i-1) +dt;
m_Pm(i)=pe1
m_dd(i)=m_dd(i-1) + m_cPe(i-1)
m_d(i)=m_d(i-1)+m_dd(i)
m_sind(i)=sind(m_d(i))
m_Pe(i)=m_Pm(i) * m_sind(i)
m_Pa(i)=(1 - m_Pe(i))
m_cPe(i)=c_1 * m_Pa(i)
end
end
end
res1(:,1)=m_t(:)
res1(:,2)=m_Pm(:)
res1(:,3)=m_sind(:)
res1(:,4)=m_Pe(:)
res1(:,5)=m_Pa(:)
res1(:,6)=m_cPe(:)
res1(:,7)=m_dd(:)
res1(:,8)=m_d(:)
res1=round(res1*1000)/1000
i=1
head=['' '' 't' '' '' 'Pm' '' '' 'sin d' '' '' 'Pe' '' '''Pa' '' '''8.33Pa' '' '''d delta' 'delta']
disp(res1, head, "(a)")
plot(m_t, m_d)
title('Swing Curve(Blue: Sustained fault; Red: Fault cleared in .1 sec)');
xlabel('seconds');
ylabel('degrees');
//(b)
while i<15
if i==1 then
m_t2(i)=0;
m_Pm2(i)=Pe0
m_sind2(i)=sind(d0)
m_Pe2(i)=S/Sb
m_Pa2(i)=0
m_cPe2(i)=c_1 * m_Pa2(i)
m_dd2(i)=0
m_d2(i)=d0
else if i==2 then
m_t2(i)=0;
m_Pm2(i)=pe1
m_d2(i)=d0
m_sind2(i)=sind(m_d2(i))
m_Pe2(i)=m_sind2(i)*m_Pm2(i)
m_Pa2(i)=(1 - m_Pe2(i) + m_Pa2(i-1))/2
m_cPe2(i)=c_1 * m_Pa2(i)
m_dd2(i)=0
else
m_t2(i)=m_t2(i-1) +dt;
if m_t2(i) == .1 then
m_Pm2(i)=pe1
m_dd2(i)=m_dd2(i-1) + m_cPe2(i-1)
m_d2(i)=m_d2(i-1)+m_dd2(i)
m_sind2(i)=sind(m_d2(i))
m_Pe2(i)=m_Pm2(i) * m_sind2(i)
m_Pa2(i)=(1 - m_Pe2(i))
m_cPe2(i)=c_1 * m_Pa2(i)
i=i+1
m_t2(i)=m_t2(i-1)
m_Pm2(i)=pe2
m_dd2(i)=m_dd2(i-1)
m_d2(i)=m_d2(i-1)
m_sind2(i)=sind(m_d2(i))
m_Pe2(i)=m_Pm2(i) * m_sind2(i)
m_Pa2(i)=(1 - m_Pe2(i) + m_Pa2(i-1))/2
m_cPe2(i)=c_1 * m_Pa2(i)
else
m_Pm2(i)=m_Pm2(i-1)
m_dd2(i)=m_dd2(i-1) + m_cPe2(i-1)
m_d2(i)=m_d2(i-1)+m_dd2(i)
m_sind2(i)=sind(m_d2(i))
m_Pe2(i)=m_Pm2(i) * m_sind2(i)
m_Pa2(i)=(1 - m_Pe2(i))
m_cPe2(i)=c_1 * m_Pa2(i)
end
end
end
i=i+1
end
res2(:,1)=m_t2(:)
res2(:,2)=m_Pm2(:)
res2(:,3)=m_sind2(:)
res2(:,4)=m_Pe2(:)
res2(:,5)=m_Pa2(:)
res2(:,6)=m_cPe2(:)
res2(:,7)=m_dd2(:)
res2(:,8)=m_d2(:)
res2=round(res2*1000)/1000
disp(res2,head, "(b)")
plot(m_t2, m_d2,'r')
//(c)
D0=d0 * %pi/180
Pi=1
Dm=%pi - asin(Pi/pe2)
dcc=acosd(((Pi * (Dm-D0))-(pe1*cos(D0))+(pe2*cos(Dm)))/(pe2 -pe1))
tcc=.395
mprintf("\n\n(c) dcc= %.1f deg; clearing time=%.3f sec", dcc,tcc)
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