Abstract
This paper presents a novel mathematical model for the transmission network expansion planning problem. Main idea is to consider phase‐shifter (PS) transformers as a new element of the transmission system expansion together with other traditional components such as transmission lines and conventional transformers. In this way, PS are added in order to redistribute active power flows in the system and, consequently, to diminish the total investment costs due to new transmission lines. Proposed mathematical model presents the structure of a mixed‐integer nonlinear programming (MINLP) problem and is based on the standard DC model. In this paper, there is also applied a specialized genetic algorithm aimed at optimizing the allocation of candidate components in the network. Results obtained from computational simulations carried out with IEEE‐24 bus system show an outstanding performance of the proposed methodology and model, indicating the technical viability of using these nonconventional devices during the planning process.
Highlights
Transmission network planning begins with the establishment of power demand growth scenarios, in accordance with forecasts along the time
The problem is represented by a Mixed-Integer Nonlinear Programming (MINLP) problem that presents many local optima solutions for real-life systems
Details of the algorithm and some improvements made to the genetic algorithm
Summary
Transmission network planning begins with the establishment of power demand growth scenarios, in accordance with forecasts along the time. The problem is represented by a Mixed-Integer Nonlinear Programming (MINLP) problem that presents many local optima solutions for real-life systems This high number is due to the possible expansion plans that shows the association of the specified optimal operational mode. Most papers treat only the operational improvement by using FACTS devices [1,2,3] This topic is considered as the operation planning, in which FACTS devices are used, for example, to redistribute the active power flow in order to eliminate congestion problems and/or to optimize the power dispatch. The proposed model is based on the DC model, which is the most employed one in planning problems; only the active power flow is considered Other aspects such as performance analysis (reliability and stability analysis, reactive planning, AC power flow, and short-circuit calculation) relevant to transmission expansion are beyond the scope of this paper. In general, after obtaining a basic solution, all those analyses can be carried out
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