Читать книгу Advances in Electric Power and Energy - Группа авторов - Страница 56

QC mathematical programming formulation is

(2.35a)

subject to

(2.35b)

(2.35c)

(2.35d)

If problem (2.34) is to be expressed as a standard mathematical programming problem, then a binary variable vector b must be added to the optimization variable set. The resulting formulation (2.35) is a mixed integer nonlinear problem.

Although problem (2.35) is a mixed integer nonlinear programming problem, the set of constraints (2.35d) can be relaxed:

leading to a relaxed mixed integer nonlinear programming problem. This relaxed problem can be tackled by any nonlinear programming solver (such as MINOS [11]). Numerical simulations show that the particular structure of problem (2.35) imposes that relaxed binary variables b_i have a binary value at the optimum, i.e. .