On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation

Serra, Federico M.; Montoya, Oscar Danilo; Alvarado-Barrios, Lázaro; Álvarez-Arroyo, César; Chamorro, Harold R.

doi:10.3390/electronics10192339

Cited by 8 publications

(3 citation statements)

References 44 publications

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“…GAMS software is a popular optimization tool used in academics and industry to solve large-scale optimization problems in science and engineering [37]. Some of the well-known applications of GAMS software include renewable energy and battery energy storage integration in power and distribution networks [5,7,38], optimization of pump and valve schedules in complex large-scale water distribution systems [39], multi-objective optimization of the stack of a thermoacoustic engine [40], and application in DC distribution networks [41,42].…”

Section: Gams Implementationmentioning

confidence: 99%

Optimal Integration of Dispersed Generation in Medium-Voltage Distribution Networks for Voltage Stability Enhancement

et al. 2022

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This study addresses the problem of the maximization of the voltage stability index (λ-coefficient) in medium-voltage distribution networks considering the optimal placement and sizing of dispersed generators. The problem is formulated through a mixed-integer nonlinear programming model (MINLP), which is solved using General Algebraic Modeling System (GAMS) software. A numerical example with a 7-bus radial distribution network is employed to introduce the usage of GAMS software to solve the proposed MINLP model. A new validation methodology to verify the numerical results provided for the λ-coefficient is proposed by using recursive power flow evaluations in MATLAB and DigSILENT software. The recursive evaluations allow the determination of the λ-coefficient through the implementation of the successive approximation power flow method and the Newton–Raphson approach, respectively. It is effected by fixing the sizes and locations of the dispersed sources using the optimal solution obtained with GAMS software. Numerical simulations in the IEEE 33- and 69-bus systems with different generation penetration levels and the possibility of installing one to three dispersed generators demonstrate that the GAMS and the recursive approaches determine the same loadability index. Moreover, the numerical results indicate that, depending on the number of dispersed generators allocated, it is possible to improve the λ-coefficient between 20.96% and 37.43% for the IEEE 33-bus system, and between 18.41% and 41.98% for the IEEE 69-bus system.

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Section: Gams Implementationmentioning

confidence: 99%

Optimal Integration of Dispersed Generation in Medium-Voltage Distribution Networks for Voltage Stability Enhancement

et al. 2022

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“…The second approach corresponds to design optimization strategies for planning and operation purposes [9]. In the planning case, the main idea is integrating new devices (renewables or batteries) to improve the grid performance regarding operational costs for an expected horizon period of analysis [10]. In the operation case, usually, the idea is to propose efficient energy management systems that allow defining the best daily power injection profiles for renewable generation and energy storage systems [11,12].…”

Section: Introductionmentioning

confidence: 99%

“…Ref. [10] proposed a convex approximation based on the McCormick envelopes to select and locate battery energy storage systems in monopolar DC networks. The objective function corresponded to the minimization of the total daily energy losses.…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Dispatch of PV Plants in Monopolar DC Grids Using a Weighted-Based Iterative Convex Solution Methodology

2023

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The design of an efficient energy management system (EMS) for monopolar DC networks with high penetration of photovoltaic generation plants is addressed in this research through a convex optimization point of view. The EMS is formulated as a multi-objective optimization problem that involves economic, technical, and environmental objective functions subject to typical constraints regarding power balance equilibrium, thermal conductor capabilities, generation source capacities, and voltage regulation constraints, among others, using a nonlinear programming (NLP) model. The main characteristic of this NLP formulation of the EMS for PV plants is that it is a nonconvex optimization problem owing to the product of variables in the power balance constraint. To ensure an effective solution to this NLP problem, a linear approximation of the power balance constraints using the McCormick equivalent for the product of two variables is proposed. In addition, to eliminate the error introduced by the linearization method, an iterative solution methodology (ISM) is proposed. To solve the multi-objective optimization problem, the weighted optimization method is implemented for each pair of objective functions in conflict, with the main advantage that in this extreme the Pareto front has the optimal global solution for the single-objective function optimization approach. Numerical results in the monopolar version of the IEEE 33-bus grid demonstrated that the proposed ISM reaches the optimal global solution for each one of the objective functions under analysis. It demonstrated that the convex optimization theory is more effective in the EMS design when compared with multiple combinatorial optimization methods.

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Optimization of BESS placement, technology selection, and operation in microgrids for minimizing energy losses and CO2 emissions: A hybrid approach

Cortés-Caicedo,

Grisales-Noreña,

Montoya

et al. 2023

Journal of Energy Storage

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On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation

Cited by 8 publications

References 44 publications

Optimal Integration of Dispersed Generation in Medium-Voltage Distribution Networks for Voltage Stability Enhancement

Optimal Integration of Dispersed Generation in Medium-Voltage Distribution Networks for Voltage Stability Enhancement

Multi-Objective Dispatch of PV Plants in Monopolar DC Grids Using a Weighted-Based Iterative Convex Solution Methodology

Optimization of BESS placement, technology selection, and operation in microgrids for minimizing energy losses and CO2 emissions: A hybrid approach

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