The minimum number of units in a
network has been proposed to be
obtained using a very simple formula using graph theory (
HohmannE. C.
Hohmann, E. C.
Ph.D. Thesis, University of Southern
California, Los Angeles, CA, 1971.; LinnhoffB.
Linnhoff, B.
Comput. Chem. Eng.19793295). This is done, usually, assuming that thermodynamic feasibility
holds, especially in Pinch technology, where it is applied above and
below the pinch, but also for cases where the pinch is ignored. While
the failure of this formula is informally known in the community,
to our knowledge no realistic counterexample was presented before.
We provide such an industrial counterexample. In addition, we propose
to use a recently developed MILP model (BarbaroA.BagajewiczM.
Barbaro, A.
Bagajewicz, M.
Comput. Chem.
Eng.2005291945) that guarantees finding the global minimum number of
exchangers. Finally, we point out the large number of alternative
solutions that real industrial problems may exhibit.