Angewandte Regelung und Optimierung in der ... - uni-stuttgart
Angewandte Regelung und Optimierung in der ... - uni-stuttgart
Angewandte Regelung und Optimierung in der ... - uni-stuttgart
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Gauss-Jordan Simplification<br />
Full nonl<strong>in</strong>ear<br />
model<br />
Use po<strong>in</strong>t <strong>in</strong> time with max. number<br />
of pipes with flow > 0 to l<strong>in</strong>earize<br />
network<br />
L<strong>in</strong>earize model<br />
Full l<strong>in</strong>ear<br />
model<br />
Use Gauss-Jordan algorithm to<br />
reduce number of nodes and pipes<br />
Simplify model<br />
Simplified<br />
l<strong>in</strong>ear model<br />
Convert back to<br />
nonl<strong>in</strong>ear model<br />
© ABB Group<br />
June 28, 2010 | Slide 58<br />
Calculate new nonl<strong>in</strong>ear pipe<br />
parameters us<strong>in</strong>g <strong>in</strong>cidence matrix<br />
(C=100, D=L)<br />
Simplified<br />
nonl<strong>in</strong>ear model