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Unformatted text preview: + X(O) = X(O)e-Axt + ~~ [e-A/t -e->.xt] AX -Al (PIO.5) These two results for the post shutdown transients X(t) and I(t), can also be obtained directly from Eqs. (10.32) and (10.33) by setting l/Jo = 0 in these equations. To find the time tmax following the shutdown at which X (t) reaches a maximum, we differentiate Eq. (PIO.5) and set the result to zero at t = tmax. The result >..x >'1 1(0) A~I(O) eXp[-Axtmax] -~~ eXp[-A[tmax]. 0 = t->'IX(O) + ">,X ->'1 Multiply by eA[tmax and collect terms to obtain X(O) + r. = (1 -r)r"""j(O) exp[-(AI -AX)tmax] = July 24, 2002...
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This note was uploaded on 02/01/2010 for the course ECE 4130 taught by Professor Cady during the Spring '06 term at Cornell University (Engineering School).
- Spring '06