Abstract
In this study, we successfully develop the transmission planning problem of large-scale power systems based on generalized shift-factors. These distribution factors produce a reduced solution space which does not need the voltage bus angles to model new transmission investments. The introduced formulation copes with the stochastic generation and transmission capacity expansion planning problem modeling the operational problem using a 24-hourly load behaviour. Results show that this formulation achieves an important reduction of decision variables and constraints in comparison with the classical disjunctive transmission planning methodology known as the Big M formulation without sacrificing optimality. We test both the introduced and the Big M formulations to find out convergence and time performance using a commercial solver. Finally, several test power systems and extensive computational experiments are conducted to assess the capacity planning methodology. Solving deterministic and stochastic problems, we demonstrate a prominent reduction in the solver simulation time especially with large-scale power systems.
Highlights
The capacity expansion planning (CEP) problem solves the following issues—(1) how much generation and transmission capacity requires the electrical power system, (2) when and what type of new power units and new transmission elements are needed and (3) where locate these new elements to supply adequately the long-term energy of the customers.1.1
The authors include the number of decision variables (v), the number of equality and inequality constraints (Θ), the non-zeros elements, the objective function (OF) and the average solver time obtained by Gurobi simulating 200–trials
This study introduced an efficient planning methodology to formulate large-scale transmission networks based on generalized shift-factors
Summary
The capacity expansion planning (CEP) problem solves the following issues—(1) how much generation and transmission capacity requires the electrical power system, (2) when and what type of new power units and new transmission elements are needed and (3) where locate these new elements (generation units and transmission transformer and lines) to supply adequately the long-term energy of the customers
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