Transmission Expansion Planning Using Contingency Criteria

Abstract

This paper proposes a methodology for choosing the best transmission expansion plan considering various types of security (operating reliability) criteria. The proposed method minimizes the total cost that includes the investment cost of transmission as well as the operating cost and standby cost of generators. The purpose of the study is development of new methodology for solving transmission system expansion planning problem subject to (N ) contingency criteria which are essentially extensions of the (N-1) contingency criterion. The transmission expansion problem uses an integer programming framework, and the optimal strategy is determined using a branch and bound method that utilizes a network flow approach and the maximum flow-minimum cut set theorem. The characteristics of the proposed method are illustrated by applying it to a five-bus system and a 21-bus system. The results of these case studies demonstrate that the proposed method provides a practical way to find an optimal plan for power system expansion planning.Index Terms-Branch and bound method, investment cost, operating cost, security (reliability) criteria, standby cost, transmission expansion planning.

Stepwise Investment Plan Optimization for Large Scale and Multi-Zonal Transmission System Expansion

“…Constraint (10) states that the maximum power rating of a connection path may not exceed a pre-defined maximum rating K.…”

“…Mathematical optimization methods include linear programming [6]- [8], quadratic programming, non-linear programming [9], integer programming and mixedinteger programming [10]- [14] and their combinations. For high dimensional non-convex problems these methods become computationally expensive and have been enhanced by heuristic methods [15]- [17].…”

A new method of enhancing reliability for transmission expansion planning

“…The indices LOLE and EENS are strongly associated with the arrival power at load point. Therefore, based on the Monte Carlo simulation and the optimization model shown as (9), an implicit sensitivity index is presented.…”

“…It is not only restricted by the capacities of the generators and transmission lines, but also subjected to the availabilities of them. The reliability analysis is carried out before stability and fault analyses in conventional TEP [9]. Thus, reliability evaluation should be incorporated in TEP.…”

Transmission expansion planning with re-design

“…This impacts the modelling and significantly increases the size and complexity of the optimization problem. Reported results are mostly for small power systems (6 to 30 buses) [12,25,35]; see also [9-11, 15, 17, 23, 24, 34, 43]. When considering larger power systems, the problem size is reduced by some heuristic method, relying on human experts' judgment, as in [10,29,37].…”