Inclusion of inter-temporal constraints into a distributed Newton-Raphson method
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Baker, K; Hug, G; Li, X
Published in: 2012 North American Power Symposium, NAPS 2012
December 10, 2012
Newton-Raphson based methods are widely used for solving Optimal Power Flow (OPF) problems. Convergence can be sensitive to the starting point of the algorithm, the step size, and the condition number of the Jacobian. The inclusion of inter-temporal constraints, i.e., constraints that link successive time steps in the optimization, can in certain cases cause the Jacobian to become singular and Newton-Raphson to diverge. These cases occur when the binding inter-temporal constraints do not fulfill the Linear Independence Constraint Qualification (LICQ). In this paper, we discuss the conditions under which this happens, and analyze when singularities occur in a particular storage device model test case. © 2012 IEEE.
Duke Scholars
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2012 North American Power Symposium, NAPS 2012
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Publication Date
December 10, 2012
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Baker, K., Hug, G., & Li, X. (2012). Inclusion of inter-temporal constraints into a distributed Newton-Raphson method. In 2012 North American Power Symposium, NAPS 2012. https://doi.org/10.1109/NAPS.2012.6336344
Baker, K., G. Hug, and X. Li. “Inclusion of inter-temporal constraints into a distributed Newton-Raphson method.” In 2012 North American Power Symposium, NAPS 2012, 2012. https://doi.org/10.1109/NAPS.2012.6336344.
Baker K, Hug G, Li X. Inclusion of inter-temporal constraints into a distributed Newton-Raphson method. In: 2012 North American Power Symposium, NAPS 2012. 2012.
Baker, K., et al. “Inclusion of inter-temporal constraints into a distributed Newton-Raphson method.” 2012 North American Power Symposium, NAPS 2012, 2012. Scopus, doi:10.1109/NAPS.2012.6336344.
Baker K, Hug G, Li X. Inclusion of inter-temporal constraints into a distributed Newton-Raphson method. 2012 North American Power Symposium, NAPS 2012. 2012.
Published In
2012 North American Power Symposium, NAPS 2012
DOI
Publication Date
December 10, 2012