| As the traditional vertical monopoly utilities are broken and the power market is popularized in the whole country, our power industry appears many new problems, how to exactly calculate available transfer capability (ATC) is the one of them. ATC is the capability that the power network can transfer extra power besides having already transfered power. it can help to know whether a system can accommodate some power transfer and whether a customer can order some transmission services. So, how to calculate and how to improve ATC has received more and more attention in recent years.However, the former studies on ATC calculation only considered static field but not considered dynamic constraints, thus ATC can be over-estimated and the safety of system can not be satisfied, especially in the power market the power systems can not run in the conservative state. Therefore it is important in theory and practice to study ATC calculation taking account of transient stability constraints.The method of calculating ATC based on OPF can expediently deal with all kinds of constraints and optimize system resoure, so it is extensively applied to ATC calculation taking account of transient stability constraints.This paper presented an algorithm for calculating ATC with transient stability constraints by adding transient stability constraints in the OPF model of no transient stability constraints, in which a optimization problem including differential equations in functional space can be transformed to an static optimization problem in Euclidean space via constraint transcription techniques. The transformed optimization model is soluted by a nonlinear complementarity method. it is based on primal-dual interior method and employ a function to handle the complementarity conditions, without requiring positive conditions be satisfied at every iteration and its value in R n×Rn space. Numerical results illustrate the viability of the proposed model and method as applied to 7-bus and 36-bus systems. |
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