maximum angle and the system will be unstable. Conversely, if , the system is stable.
From Fig. 4(a), , as is positive and is negative. The sum is a small positive number
because and are close in magnitude. On clearing, , because is positive (note direction
in which moves is opposite to that during the fault), and is negative. Because is a very large positive
area and dominates, is a large positive number. Hence and the system is unstable. Likewise for Fig. 4(b),
which is positive and .Hence ; which is negative and the system is stable. Fig. 4(c) shows as a function of clearing angle . When the system remains stable. Fig. 4(d) shows time variation of following a fault. is negative in regions , defining the intervals where there is an opportunity to clear the fault without causing instability.
maximum angle and the system will be unstable. Conversely, if , the system is stable.From Fig. 4(a), , as is positive and is negative. The sum is a small positive numberbecause and are close in magnitude. On clearing, , because is positive (note directionin which moves is opposite to that during the fault), and is negative. Because is a very large positivearea and dominates, is a large positive number. Hence and the system is unstable. Likewise for Fig. 4(b),which is positive and .Hence ; which is negative and the system is stable. Fig. 4(c) shows as a function of clearing angle . When the system remains stable. Fig. 4(d) shows time variation of following a fault. is negative in regions , defining the intervals where there is an opportunity to clear the fault without causing instability.
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