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Research Papers

Hybrid Power/Energy Generation Through Multidisciplinary and Multilevel Design Optimization With Complementarity Constraints

[+] Author and Article Information
Shen Lu

Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801shenlu2@illinois.edu

Nathan B. Schroeder

Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801nschroe2@illinois.edu

Harrison M. Kim1

Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801hmkim@illinois.edu

Uday V. Shanbhag

Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801udaybag@illinois.edu

1

Corresponding author.

J. Mech. Des 132(10), 101007 (Oct 04, 2010) (12 pages) doi:10.1115/1.4002292 History: Received December 11, 2008; Revised July 21, 2010; Published October 04, 2010; Online October 04, 2010

The optimal design of hybrid power generation systems (HPGSs) can significantly improve the technical and economic performance of power supply. However, the discrete-time simulation with logical disjunctions involved in HPGS design usually leads to a nonsmooth optimization model, to which well-established techniques for smooth nonlinear optimization cannot be directly applied. This paper casts the HPGS design optimization problem as a multidisciplinary design optimization problem with complementarity constraints, a formulation that introduces a complementarity formulation of the nonsmooth logical disjunction, as well as a time horizon decomposition framework, to ensure a fast local solution. A numerical study of a stand-alone hybrid photovoltaic/wind power generation system is presented to demonstrate the effectiveness of the proposed approach.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of hybrid power generation system

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Figure 2

The multidisciplinary optimization model derived from time horizon decomposition

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Figure 3

The decomposition of multistage optimization problem with complementarity constraints

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Figure 4

Alternating direction method of multiplier for HPGS design optimization

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Figure 5

Energy resources at Ersa on Corsica Island, France

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