| S. Feltenmark, On optimization of power production, Ph.D. thesis, Department of Mathematics, Royal Institute of Technology, Stockholm, 1997. |
....and reliable optimization models and methods. However, nding the optimal production of both heat and power, possibly also taking into account the optimal use of a heat storage, is a diOEcult optimization problem. Various approaches to the modeling have been proposed, see in particular [1] [2], 3] 4] 5] and [6] It seems that Lagrangian relaxation and dynamic programming methods in particular, possibly in combination, are considered to be relevant to this problem type. The present paper presents a modeling of a cogeneration plant including a heat storage. An algorithm for optimal ....
....A complicating issue is the time dependent start up cost, and the minimal up and down times, but these can be handled eOEciently using a dynamic programming algorithm with states corresponding to the up and down times. Methods for the solution of (22) are well described in the literature, see e.g. [2], 9] and will therefore not be discussed further. The storage problem (23) separates into one problem for each time interval. The solution of this single time interval problem is rather trivial. First q o i;S is calculated analytically, then e o i;S is given by the Forwards Sequential ....
Stefan Feltenmark, On Optimization of Power Production, PhD Thesis, TRITA-MAT 97-OS1, ISSN 0348-405X, ISRN KTH/OPT SYST/DA97/1SE, Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden, 1997.
.... first aim is to show that, under fairly general assumptions and without extra cost, GLP also finds a solution to a relaxed convexified version of the primal program; the latter is simpler than those derived in the abstract frameworks of [MSW76] Sha79, x5.3] LeR96] Such results are given in [Fel97, FeK96, FKL97] for the bundle method, are so far missing for the subgradient method, and may be expected (but have not been established) to hold for the exponential smoothing method of [Ber82, x5.6] and [BLSP83] which is restricted to problems with piecewise linear or concave costs and ....
S. Feltenmark, On optimization of power production, Ph.D. thesis, Department of Mathematics, Royal Institute of Technology, Stockholm, 1997.
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