Optimal operation of building microgrids – comparison with mixed-integer linear and continuous non-linear programming approaches. Issue 2 (5th March 2018)

• Record Type: Journal Article
• Authors: Reinbold, Vincent; Dinh, Van-Binh; Tenfen, Daniel; Delinchant, Benoit; Saelens, Dirk
• Is Part Of: Compel. Volume 37:Issue 2(2018)
• Page Start: 603
• Page End: 616
• Publication Date: 2018-03-05
• Subjects: Microgrid -- Mixed integer linear programming -- Optimal operation -- Sequential quadratic programming; Electrical engineering -- Data Processing -- Periodicals; Electrical engineering -- Mathematics -- Periodicals; Electrical engineering -- Periodicals; Electronics -- Data Processing -- Periodicals; Electronics -- Mathematics -- Periodicals; 621.3
• DOI: 10.1108/COMPEL-11-2016-0489
• Languages: English
• ISSNs: 0332-1649

Abstract

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.