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Implementation of a Lagrangian relaxation based unit commitment problem

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4 Author(s)
Virmani, S. ; Electr. Power Ind. Consultants, Mountain View, CA, USA ; Adrian, Eugene C. ; Imhof, Karl ; Mukherjee, Shishir

An effort is made to provide an understanding of the practical aspects of the Lagrangian relaxation methodology for solving the thermal unit commitment problem. Unit commitment is a complex, mixed integer, nonlinear programming problem complicated by a small set of side constraints. Until recently, unit commitment for realistic size system has been solved using heuristic approaches. The Lagrangian relaxation offers a new approach for solving such problems. Essentially, the method involves decomposition of the problem into a sequence of master problems and easy subproblems, whose solutions converge to an ε-optimal solution to the original problem. The authors concentrate on the implementation aspects of the Lagrangian relaxation method applied to realistic and practical unit commitment problems

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Power Systems, IEEE Transactions on  (Volume:4 ,  Issue: 4 )