Xh. Yan et Vh. Quintana, Improving an interior-point-based OPF by dynamic adjustments of step sizesand tolerances, IEEE POW SY, 14(2), 1999, pp. 709-716
This paper presents an efficient interior point algorithm for Optimal Power
Flow (OPF) problems, in particular, the real power dispatch and the reacti
ve power dispatch problems. The nonlinear OFF problem is solved by a predic
tor-corrector primal-dual log-barrier (PCPDLB) method as a sequence of line
arized sub-problems. Besides discussing the problem formulation, the paper
offers a detailed description of the PCPDLB algorithm; it also addresses se
veral implementation issues such as the determination of barrier parameter
and the customization of initial points for OFF problems. In addition, prac
tical issues on how to choose linear step sizes and convergence criteria ar
e investigated to evaluate their impact on the performance of the algorithm
. Some heuristics of dynamically adjusting step sizes and tolerance are pro
posed which significantly improve OFF solution speed. Computational results
on power systems of 118 and 1062 buses are presented and discussed. Compar
isons with other variants of primal-dual log-barrier methods are also provi
ded to demonstrate the superiority of the proposed predictor-corrector inte
rior point algorithm.