The daVa of four networks that can be used in carrying out comparative studies with methods for transmission network expansion planning are gwen. These networks are of various types and different levels of complexity. The main mathematical formulations used in transmission expansion studies-transportation models, hybrid models, DC power flow models, and disjunctive models are also SummdnSed and compared. The main algorithm families are reviewed-both analytical, cOmbinatOnd1 and heuristic approaches. Optimal solutions are not yet known for some of the four networks when more accurate models (e.g. the DC model) are used to represent the power flow equations-the state of the art with regard to this is also summarised. This should sewe as a challenge to authors searching for new, more efficient methods. 10 IEE. 2002 IEE ProcmLp.s online no. 2W20026 DO/: K.lM9/ip-ptdZMl2W26 Paper first received 14th March 2001 R. Romero is with the Faculty of Enpineefins of llha Solteira, Paulista Swte University. CP 31, Ilha Soltririr 15385-NX1, SP, Brazil A. Monticelli and A. Garcia are with the Departmcnl of Electric Enersy Systems. University of Campinas, CP 6101, Campinns 13081-970. SP. Brazil S. Hafiner is with the Depaitmeni of EImtfimudl Enginee~ing. Pontifical Catholic University of Rio Grande do SUI. CP 1429. Port0 Alepre 90619-9INl RS, Brazil
This paper presents a comprehensive mathematical model to solve the restoration problem in balanced radial distribution systems. The restoration problem, originally modeled as mixed integer nonlinear programming, is transformed into a mixed integer second-order cone programming problem, which can be solved efficiently using several commercial solvers based on the efficient optimization technique family branch and bound. The proposed mathematical model considers several objectives in a single objective function, using parameters to preserve the hierarchy of the different objectives: 1) maximizing the satisfaction of the demand, 2) minimizing the number of switch operations, 3) prioritizing the automatic switch operation rather than a manual one, and 4) prioritizing especial loads. General and specialized tests were carried out on a 53-node test system, and the results were compared with other previously proposed algorithms. Results show that the mathematical model is robust, efficient, flexible, and presents excellent performance in finding optimal solutions.
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