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Angewandte Regelung und Optimierung in der ... - uni-stuttgart

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Network Simplification<br />

Steps of the simplification algorithm<br />

• The algorithms consists of two parts<br />

• Pre-process<strong>in</strong>g<br />

• Substitute valves that are always open<br />

• Remove valves that are always closed<br />

• Remove dead-end pipes<br />

• Remove short pipes<br />

• Comb<strong>in</strong>e pipes <strong>in</strong> series / <strong>in</strong> parallel connected to nodes<br />

without demand to <strong>uni</strong>que pipe<br />

• Gauss-Jordan Simplification<br />

• Determ<strong>in</strong>e nonl<strong>in</strong>ear model<br />

• L<strong>in</strong>earize nonl<strong>in</strong>ear model<br />

• Reduce l<strong>in</strong>earized model us<strong>in</strong>g Gauss-Jordan<br />

• Convert back to nonl<strong>in</strong>ear model<br />

© ABB Group<br />

June 28, 2010 | Slide 52

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