An Efficient Mixed-Integer Linear Programming Model for Optimal Sizing of Battery Energy Storage in Smart Sustainable Buildings

Mehrtash, Mahdi; Capitanescu, Florin; Heiselberg, Per

doi:10.1109/tpec48276.2020.9042498

Cited by 12 publications

(14 citation statements)

References 14 publications

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“…To address the two knowledge gaps, this article significantly extends the previous authors' work [18], which only focused on profit-based optimal sizing of BES, in two respects: 1) joint optimal sizing of PV and BES systems and 2) consideration of environmental impacts. Accordingly, the key new contribution of this article is an enhanced (but scalable to large-scale planning problems) mathematical model for the optimal PV and BES sizing problem fulfilling the definition of ZEBs.…”

Section: Introductionmentioning

confidence: 92%

“…The zero energy constraint and limitation of environmental impacts are modeled by linear constraints (17) and (18), respectively. According to (17), the annual electricity bought from the grid must be less or equal than the annual electricity sold to the grid.…”

Section: A Minlp Modelmentioning

confidence: 99%

“…To sum up, the proposed MINLP model for the optimal PV and BES sizing problem consists in minimizing the objective function (1) subject to (3)- (18). The decision variables of the model include the size of the battery C B , size of the PV C PV , the amount of electricity bought from the grid P b (t) and the amount of electricity sold to the grid P s (t).…”

Section: A Minlp Modelmentioning

confidence: 99%

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An Enhanced Optimal PV and Battery Sizing Model for Zero Energy Buildings Considering Environmental Impacts

Mehrtash

Capitanescu

Heiselberg

et al. 2020

IEEE Trans. on Ind. Applicat.

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The important focus of the energy strategy of the European Union relies on the concept of zero energy building (ZEB), which is, by definition, a building that roughly produces yearly as much renewable energy as it consumes. This article proposes an enhanced mixed-integer nonlinear programming model for optimal sizing of photovoltaic (PV) and battery energy storage systems to comply with the definition of a ZEB. A salient novel feature of the proposed model is that it factors in the environmental impacts, computed through rigorous life cycle assessment methodology, of buying electricity from the grid and manufacturing battery and PV systems. Furthermore, an adjustable parameter is introduced to make the model adaptive from the perspective of the building owner's willingness-to-pay for environmental impacts. The proposed model is then rigorously reformulated, managing to accumulate its nonlinearity in only one constraint per time interval. Eventually, the reformulated model is linearized to a mixed-integer linear programming model using the McCormick relaxation technique. The case study conducted on archetypal buildings in Luxembourg reveals that the proposed McCormick-based linear model is able to provide high accuracy results with reasonable computational effort.

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Section: Introductionmentioning

confidence: 92%

Section: A Minlp Modelmentioning

confidence: 99%

Section: A Minlp Modelmentioning

confidence: 99%

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An Enhanced Optimal PV and Battery Sizing Model for Zero Energy Buildings Considering Environmental Impacts

Mehrtash

Capitanescu

Heiselberg

et al. 2020

IEEE Trans. on Ind. Applicat.

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“…building-integrated battery energy storage (BES) or heat storage tank, can be economically beneficial for the ZEB owner as well as for the grid (e.g. in congestion relieving manner) [3][4][5][6]. This paper focuses on finding the optimum size of each energy production, storage and energy-efficient device at ZEB planning stage that satisfies the zero energy constraint.…”

mentioning

confidence: 99%

“…In the case of having excess of electricity at time interval ‫,ݐ‬ the excess of electric power can be calculated by (5). Similarly, for intervals that deficit of electricity exists, the deficit of electric power can be obtained by (6). As imposed by (7) and (8), the continuous variables ܲ ା ሺ‫ݐ‬ሻ and ܲ ି ሺ‫ݐ‬ሻ are always non-negative.…”

mentioning

confidence: 99%

A New Bi-Objective Approach for Optimal Sizing of Electrical and Thermal Devices in Zero Energy Buildings Considering Environmental Impacts

Mehrtash

Capitanescu

Heiselberg

et al. 2021

IEEE Trans. Sustain. Energy

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This paper proposes a new bi-objective optimization model, trading-off cost and environmental impacts, for sizing the key electrical and thermal devices in a zero energy building (ZEB), i.e. a building that roughly generates as much renewable energy as it consumes annually. A salient novel feature is the consideration of the environmental impacts, computed through a rigorous life cycle assessment approach, of buying electricity from the grid and manufacturing devices. Furthermore, an enhancement of the proposed model, as compared to the existing models, is to prioritize storing the ZEB excess of energy rather than selling it to the grid. The proposed solution approach of the initial mixedinteger nonlinear programming model relies on McCormick relaxation linearization to obtain a more tractable mixed-integer linear model. An augmented ε-constraint method is applied to solve the obtained bi-objective model. Finally, considering the building owners' willingness-to-pay for environmental impacts, a decision-making criterion is proposed to select the optimal size of the devices among all non-dominated solutions of the Pareto front.

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Prediction-Based Optimal Sizing of Battery Energy Storage Systems in PV Integrated Microgrids for Electricity Bill Minimization

Vaka

Kumari

2022

J. Inst. Eng. India Ser. B

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An Efficient Mixed-Integer Linear Programming Model for Optimal Sizing of Battery Energy Storage in Smart Sustainable Buildings

Cited by 12 publications

References 14 publications

An Enhanced Optimal PV and Battery Sizing Model for Zero Energy Buildings Considering Environmental Impacts

An Enhanced Optimal PV and Battery Sizing Model for Zero Energy Buildings Considering Environmental Impacts

A New Bi-Objective Approach for Optimal Sizing of Electrical and Thermal Devices in Zero Energy Buildings Considering Environmental Impacts

Prediction-Based Optimal Sizing of Battery Energy Storage Systems in PV Integrated Microgrids for Electricity Bill Minimization

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