Angewandte Regelung und Optimierung in der ... - uni-stuttgart
Angewandte Regelung und Optimierung in der ... - uni-stuttgart
Angewandte Regelung und Optimierung in der ... - uni-stuttgart
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Gauss-Jordan Simplification<br />
Determ<strong>in</strong>e nonl<strong>in</strong>ear model<br />
reservoir<br />
demand<br />
demand<br />
• Setup <strong>in</strong>cidence matrix to describe model of water network<br />
tank<br />
demand<br />
demand<br />
⎡ 1<br />
⎢<br />
⎢<br />
−1<br />
⎢ 0<br />
Λ = ⎢<br />
⎢ 0<br />
⎢ 0<br />
⎢<br />
⎣ 0<br />
|<br />
0<br />
1<br />
−1<br />
0<br />
0<br />
0<br />
0<br />
0<br />
1<br />
−1<br />
0<br />
0<br />
h |<br />
0.54<br />
0<br />
0<br />
1<br />
0<br />
−1<br />
0<br />
0<br />
0<br />
0<br />
1<br />
−1<br />
0<br />
sign(<br />
∆<br />
0 ⎤<br />
0<br />
⎥<br />
⎥<br />
0 ⎥<br />
⎥<br />
1 ⎥<br />
0 ⎥<br />
⎥<br />
−1<br />
⎦<br />
The Hazen-Williams equation describes<br />
the flow-head relationship <strong>in</strong> a pipe<br />
Q<br />
ij<br />
=<br />
g<br />
ij<br />
∆<br />
ij<br />
ij<br />
h)<br />
Λq = q<br />
nod<br />
Mass balance equation<br />
∆h<br />
T<br />
= Λ<br />
h<br />
Headloss equation<br />
© ABB Group<br />
June 28, 2010 | Slide 59
Change language