DC Optimal Power Flow Formulation and Solution Using QuadProgJ
AbstractNonlinear AC Optimal Power Flow (OPF) problems are commonly approximated by linearized DC OPF problems to obtain real power solutions for restructured wholesale power markets. We first present a standard DC OPF problem, which has the numerically desirable form of a strictly convex quadratic programming (SCQP) problem when voltage angles are eliminated by substitution. We next augment this standard DC OPF problem in a physically meaningful way, still retaining an SCQP form, so that solution values for voltage angles and locational marginal prices are directly obtained along with real power injections and branch flows. We then show how this augmented DC OPF problem can be solved using QuadProgJ, an open-source Java SCQP solver newly developed by the authors that implements the well-known dual active-set SCQP algorithm by Goldfarb and Idnani (1983). To demonstrate the accuracy of QuadProgJ, comparative results are reported for a well-known suite of numerical QP test cases with up to 1500 decision variables plus constraints. Detailed QuadProgJ results are also reported for 3-node and 5-node DC OPF test cases taken from power systems texts and ISO-NE/MISO/PJM training manuals. Related work can be accessed at: http://www.econ.iastate.edu/tesfatsi/AMESMarketHome.htm
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Bibliographic InfoPaper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 12558.
Date of creation: 30 Mar 2006
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AC optimal power flow; DC OPF approximation; Strictly convex quadratic programming; Dual active-set method; Lagrangian augmentation; Java implementation; QuadProgJ; AMES Market Package;
Find related papers by JEL classification:
- B4 - Schools of Economic Thought and Methodology - - Economic Methodology
- C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
- C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software
- L94 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Electric Utilities
- Q4 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy
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