Question $1$ AIM: Development of MATLAB program for Transient stability analysis of single machine infinite bus and multi machine system by point by point method OBJECTIVE: A $20,50$ generator delivers $18$ over a double circuit line to an infinite bus. The generator has $$ of $2\mathrm{.}5$ at rated speed. The generator transient reactance is $=0\mathrm{.}35..$ Each transmission circuit has $=0$ and a reactance of $0\mathrm{.}2$ on $20$ Base. $||=1\mathrm{.}1.$ and infinite bus voltage $=1\mathrm{.}0.$ A three phase short circuit occurs at the midpoint of one of the transmission lines. Plot swing curves with fault cleared by simultaneous opening of breakers at both ends of the line at $6\mathrm{.}25$ cycles after the occurrence of fault. Also plot the swing curve over the period of $0\mathrm{.}5$ s if the fault sustained. Solve the swing equation by point$$by point method theoretically and verify using MATLAB Program. Comment on system stability Question $2$ AIM: To write a MATLAB program for analyzing the small$-$signal stability of a single$-$machine$-$infinite bus system, assuming classical model of the generator $($constant voltage behind transient reactance$)$