In a Synchronous Generator, Maximum Power Transfer (Pmax) takes place at Load Angle 90 degree. Pmax = 3EV/xS. Beyond Load Angle 90 degree, Generator becomes Unstable. Pmax is Steady State Stability Limit.
Steady State Stability Margin is the difference between Maximum Power (Pmax) and Rated Power. In terms of Load Angle, it is the Difference between 90 degree and Delta Zero.
In this Video, Maximum Power Transfer at the end of Transmission Line is calculated. Let Synchronous Reactance of Generator is xS. Reactance of Transmission Line is x1. Total Reactance called Transfer Reactance is xS + x1. Maximum Power = 3EV/(xS + x1).
Suppose there are 2 Transmission lInes in Parallel having Reactances x1 and x2 respectively. Transfer Reactance = xS + x1x2/(x1 + x2). Maximum Power = 3EV/[xS + x1x2/(x1 + x2)]. Transfer Reactance = xS + x1x2/(x1 + x2). If x1 = x2, Transfer Reactance = xS + x1/2.
Thus when number of Transmission Lines in parallel are increased, Transfer Reactance reduces, thus increasing Maximum Power Transfer.
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