DC Optimal Power Flow Formulation and Solution Using QuadProgJ

Junjie Sun and Leigh Tesfatsion ()

Staff General Research Papers Archive from Iowa State University, Department of Economics

Abstract: Nonlinear 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://www2.econ.iastate.edu/tesfatsi/AMESMarketHome.htm

Keywords: AC optimal power flow; DC OPF approximation; Strictly convex quadratic programming; Dual active-set method; Lagrangian augmentation; Java implementation; QuadProgJ; AMES Market Package (search for similar items in EconPapers)
JEL-codes: B4 C6 C88 L94 Q4 (search for similar items in EconPapers)
Date: 2006-03-30
New Economics Papers: this item is included in nep-cmp
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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http://www2.econ.iastate.edu/papers/p3847-2006-03-30.pdf (application/pdf)
http://www2.econ.iastate.edu/tesfatsi/DC-OPF.JSLT.pdf (application/pdf)

Related works:
Working Paper: DC Optimal Power Flow Formulation and Solution Using QuadProgJ (2010)
Working Paper: DC Optimal Power Flow Formulation and Solution Using QuadProgJ (2006)
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Persistent link: https://EconPapers.repec.org/RePEc:isu:genres:12558

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