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Optimal planning of gas turbine co‐generation plants based on mixed‐integer linear programming
Author(s) -
Horii S.,
Ito K.,
Pak P. S.,
Suzuki Y.
Publication year - 1987
Publication title -
international journal of energy research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.808
H-Index - 95
eISSN - 1099-114X
pISSN - 0363-907X
DOI - 10.1002/er.4440110407
Subject(s) - power station , mathematical optimization , linear programming , integer programming , a priori and a posteriori , turbine , optimal design , power (physics) , combined cycle , function (biology) , engineering , computer science , process engineering , mathematics , mechanical engineering , electrical engineering , philosophy , physics , epistemology , quantum mechanics , machine learning , evolutionary biology , biology
An optimal planning problem of a co‐generation plant is studied which is constructed by combining gas turbine generators, waste heat boilers, auxiliary boilers, etc. The planning problem proposed is to determine the optimal configuration of the plant equipment taking into account the optimal operational policy of the plant for the annual energy demands of electric power and heat given a priori . Based on the annual cost method, the long‐term economics of the plant is evaluated by the annual total cost, which is the objective function to be minimized. This optimal planning problem is formulated as a mixed‐integer linear programming problem, and the optimal solution is derived by adopting the branch and bound method. As a result, both the configuration of the plant equipment and the operational policy are optimally determined reflecting the difference in economics and efficiency of the scale of each equipment. In addition, both the power to be purchased and the value of maximum contract demand of the purchased power is optimally determined. Using a numerical example, the validity and effectiveness of the optimal planning method proposed here is ascertained.