The design problem considered in this paper is the optimal distribution of pressure drop over a network in which flow-rates are specified, but pipe diameters may vary. By using elements of the duality theory of nonlinear programming, the problem is cast in a form which is computationally attractive.
A new approach to the design of coupling networks
β Scribed by E. Zeheb; P. Landau
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 757 KB
- Volume
- 318
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
Mathematical results are derived, which enable one tojnd a vector of parameters k" such that (PI@, k")c H) n (P2(ko) = 0), where P,(s, k) is a polynomial in s and in the components of k, P,
(k) is a polynomial in the components of k, and H is the set of Hurwitz polynomials. The algorithm is based on an extension of the root locus technique to the multiparameter case. The design problem of coupling networks between a resistive generator and a passive load, under prescribed power gain characteristics, is translated into the above formulation. A numerical example is provided.
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