This paper presents a novel technique developed t o determine f i x e d tap transformer settings that are optimal f o r several load patterns representing, f o r example, u i n t e r peak, sumner peak, and off-peak loading patterns. The s o l u t i o n algorithm i s based on the Newton approach and enploys a recently developed technique t o i d e n t i f y binding i n e q u a l i t y constraints. A special base case i s constructed t o represent several load patterns and additional equality constraints on f i x e d tap transformer s e t t i n g s are enforced during optimization. Extensive t e s t s have been performed t o v e r i f y the v a l i d i t y of the approach i n the pouer system operations planning envirorment. The secure and economic operation of a pouer system has been a problem of s i g n i f i c a n t interest among researchers and the industry practitioners during the l a s t 20 years. A nunber o f d i f f e r e n t optimal power flow (OPF) techniques have been developed over the years t o tackle the problem, s t a r t i n g with the classic reduced gradient approach o f Domnel and Tinney t11. An extensive review o f the recent progress i n the OPF methods and applications has been published by Carpentier t21, and by S t o t t , Alsac, and MonticelliC31. Most of the OPF algorithms published i n the l i t e r a t u r e provide optimal c o n t r o l variables settings only f o r a s p e c i f i c system generation and load condition. These algorithms have been developed u i t h the intention f o r o n -l i n e use where an OPF program uould be activated c y c l i c a l l y and uould provide on-line optimal control variable settings. In some applications, however, the control variable s e t t i n g s f o r o f f -l i n e controls, obtained from a s p e c i f i c operating scenario, may not be appropriate f o r other system conditions. This i s the case, f o r example, f o r the f i x e d tap transformer settings [ 4 J . 91 WM 040-6 PWRS by the IEEE Power System Engineering Committee of the IEEE Power Engineering Society for presentation at the IEEE/PES 1991 Winter Meeting, New York, New York, February 3-7, 1991. Manuscript submitted A u g u s t 30, 1988; made available for printing January 22, 1991. A paper recommended and approved Canada The technique presented i n t h i s paper combines OPF r e s u l t s f o r several d i f f e r e n t load patterns and determines the optimal tap settings f o r a range o f loading conditions. The approach consists of two parts. The f i r s t p a r t i s concerned u i t h the construction of a base case combining several load patterns and retaining a l l the features o f the i n d i v i d u a l load patterns. The second part presents a formulation o f the OPF problem subject t o several load patterns which includes additional e q u a l i t y constraints on selected f i x e d tap transformer settings, r e f l e c t i n g the fact that those settings should be the same f o r a l l load patterns considered. The basic idea o f t h i s paper i s presented using the f i ...
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