Title :
A Tri-Level Model of Centralized Transmission and Decentralized Generation Expansion Planning for an Electricity Market—Part II
Author :
Shan Jin ; Ryan, Sarah M.
Author_Institution :
Iowa State Univ., Ames, IA, USA
Abstract :
We study a tri-level integrated transmission and generation expansion planning problem in a deregulated power market environment. The collection of bi-level sub-problems in the lower two levels is an equilibrium problem with equilibrium constraints (EPEC) that can be approached by either the diagonalization method (DM) or a complementarity problem (CP) reformulation. This paper is a continuation of its Part I, in which a hybrid iterative algorithm is proposed to solve the tri-level problem by iteratively applying the CP reformulation of the tri-level problem to propose solutions and evaluating them in the EPEC sub-problem by DM. It focuses on the numerical results obtained by the hybrid algorithm for a 6-bus system, a modified IEEE 30-bus system, and an IEEE 118-bus system. In the numerical instances, the (approximate) Nash equilibrium point for the sub-problem can be verified by examining local concavity.
Keywords :
iterative methods; power generation economics; power generation planning; power markets; power transmission economics; power transmission planning; CP; DM; EPEC; Nash equilibrium point; bilevel subproblems; centralized transmission expansion planning; complementarity problem reformulation; decentralized generation expansion planning; deregulated power market environment; diagonalization method; electricity market; equilibrium problem with equilibrium constraints; hybrid iterative algorithm; local concavity; modified IEEE bus system; trilevel model; Buildings; Games; ISO; Linear programming; Modeling; Planning; Power transmission lines; Complementarity problem; Nash equilibrium; equilibrium problem with equilibrium constraints; generation expansion planning; mathematical program with equilibrium constraints; transmission expansion planning;
Journal_Title :
Power Systems, IEEE Transactions on
DOI :
10.1109/TPWRS.2013.2280082