Risk‐constrained multi‐level framework for coordination of generation and transmission expansion planning in liberalised environments – part II: method and case studies.

This paper presents a new hybrid method for solving the proposed multi‐level optimisation problem, as described in Part I. The hybrid method employs a novel two‐stage multi‐dimensional melody search algorithm (MSA) with an innovative alternative improvisation procedure (AIP). This hybrid method handles the different levels of the proposed multi‐level framework. The two‐stage multi‐dimensional MSA is a recently developed optimisation algorithm, which is derived from the harmony search algorithm (HSA). Unlike the HSA, the MSA uses different player memories and a group improvisation procedure for finding the best substitution of pitches within a melody. These two features can enhance the performance of the MSA in comparison with the HSA. In addition, to improve the efficiency of the proposed MSA, an innovative improvisation scheme based on the AIP is used for generating new melodies. The proposed methodology has been applied on the 46‐bus south Brazilian electric power grid and the IEEE 118‐bus test system under two different scenarios in order to demonstrate the feasibility and capabilities of the newly developed framework. The obtained results from case studies validate sufficiency and profitableness of the offered multi‐level framework. [ABSTRACT FROM AUTHOR]