A Mixed Integer Quadratic Programming for Dynamic Economic Dispatch With Valve Point Effect

In this paper a mixed integer quadratic programming (MIQP) is proposed to solve the dynamic economic dispatch (DED) with valve-point effect (VPE) where the non-linear and non-smooth cost caused by VPE is piecewise linearized. However if the DED with VPE is directly solved by the MIQP in a single ste...

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Vydáno v:IEEE transactions on power systems Ročník 29; číslo 5; s. 2097 - 2106
Hlavní autoři: Wang, M. Q., Gooi, H. B., Chen, S. X., Lu, S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.09.2014
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Computing time
Convergence
Dynamic economic dispatch
Dynamical systems
Economics
Linear programming
Mathematical model
Mixed integer
mixed integer quadratic programming
Nonlinear dynamics
Optimization
piecewise linearization
Power generation
Quadratic programming
system loss
valve-point effect
warm start technique
ISSN:0885-8950, 1558-0679
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Shrnutí:In this paper a mixed integer quadratic programming (MIQP) is proposed to solve the dynamic economic dispatch (DED) with valve-point effect (VPE) where the non-linear and non-smooth cost caused by VPE is piecewise linearized. However if the DED with VPE is directly solved by the MIQP in a single step, the optimization suffers convergence stagnancy and will run out of memory. In this paper the multi-step method, the warm start technique and the range restriction scheme are combined with the MIQP. The optimization process can then break the convergence stagnancy and the computation efficiency can be greatly improved. When the system loss is considered, the loss formula is piecewise linearized. A post-processing procedure is proposed to eliminate the approximation error caused by linearization of the loss formula. The effectiveness of the proposed method is demonstrated by seven cases and the results are compared with those obtained by the previous published methods.
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ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2014.2306933