From 7bc77cb1ed33745c720952c92b3b2747c5cbf2df Mon Sep 17 00:00:00 2001 From: prashantsinalkar Date: Sat, 3 Feb 2018 11:01:52 +0530 Subject: Added new code --- 3885/CH6/EX6.2/Ex6_2.sce | 45 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 45 insertions(+) create mode 100644 3885/CH6/EX6.2/Ex6_2.sce (limited to '3885/CH6/EX6.2/Ex6_2.sce') diff --git a/3885/CH6/EX6.2/Ex6_2.sce b/3885/CH6/EX6.2/Ex6_2.sce new file mode 100644 index 000000000..a413259da --- /dev/null +++ b/3885/CH6/EX6.2/Ex6_2.sce @@ -0,0 +1,45 @@ +//control systems by Nagoor Kani A +//Edition 3 +//Year of publication 2015 +//Scilab version 6.0.0 +//operating systems windows 10 +// Example 6.2 + +clc; +clear; +s=poly(0,'s') +//calculation of gain K +kv=30//velocity error constant is 30sec^-1 +// open loop transfer function G(s)=K/s*(s+4)*(s+80) +//by definition of velocity error constant applying limit s=0 in G(s) +disp('the value of K is 9600;') +h=syslin('c',9600/(s*(s+4)*(s+80))) +bode(h) +show_margins(h) +xtitle("uncompensated system") +//from the plot the phase margin of uncompensated system is 12 +//but the system requires phase margin of 33 so lag compensation required +pm=38//choose PM of compensated system is 38 degree +phigcn=38-180// phase of G(s) at new gain cross over frequency +wgcn=4.7//the frequency corrosponding to phase of -142 is 4.7 rad/sec +agcn=16//db magnitude at wgcn +//20log betaa=16 +betaa=10^(agcn/20) +disp(betaa,'the value for betaa is') +zc=wgcn/10//zero of lag compensator +t=10/wgcn +disp(t,'the value for t is') +pc=1/(betaa*t) +disp(pc,'pole of lag compensator is') +//transfer function of lag compensation is (s+1/t)/(s+1/betaa*t)) +hc=syslin('c', (6.3*(1+2.13*s))/(1+13.419*s)) +disp(hc,'the transfer function of lag compensator is;') +//open loop transfer function of compensated system is h*hc +hcmp=syslin('c',h*hc) +disp(hcmp,'open loop transfer function of compensated system is') +figure() +bode(hcmp) +show_margins(hcmp) +xtitle("compensated system") + + -- cgit