1. Optimal operation of building microgrids – comparison with mixed-integer linear and continuous non-linear programming approaches.
- Author
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Reinbold, Vincent, Dinh, Van-Binh, Tenfen, Daniel, Delinchant, Benoit, and Saelens, Dirk
- Subjects
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MICROGRIDS , *MIXED integer linear programming , *NONLINEAR programming , *AIR quality , *VENTILATION - Abstract
Purpose This paper aims to present two mathematical models to solve the Energy Management problem of a building microgrid (MG). In particular, it proposes a deterministic mixed integer linear programming (MILP) and non-linear programming (NLP) formulations. This paper focuses on the modelling process and the optimization performances for both approaches regarding optimal operation of near-zero energy buildings connected to an electric MG with a 24-h time horizon.Design/methodology/approach A general architecture of a MG is detailed, involving energy storage systems, distributed generation and a thermal reduced model of the grid-connected building. A continuous non-linear model is detailed along with linearizations for the mixed-integer liner formulation. Multi-physic, non-linear and non-convex phenomena are detailed, such as ventilation and air quality models.Findings Results show that both approaches are relevant for solving the energy management problem of the building MG.Originality/value Introduction and modelling of the thermal loads within the MG. The resulting linear program handles the mutli-objective trade-off between discomfort and the cost of use taking into account air quality criterion. Linearization and modelling of the ventilation system behaviour, which is generally non-linear and non-convex equality constraints, involving air quality model, heat transfer and ventilation power. Comparison of both MILP and NLP methods on a general use case provides a solution that can be interpreted for implementation. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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