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Convex optimization of PV-battery system sizing and operation with non-linear loss models.
- Source :
-
Applied Energy . Jan2024:Part A, Vol. 353, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- To mitigate climate change, households are increasingly incentivized to install PV systems in combination with battery energy storage systems to increase their self-sufficiency and flexibility as well as to relieve the stress caused by the high penetration of distributed generation on the grid. This paper aims to assess the need for non-linear loss models as opposed to linear loss models found in the literature when optimizing the sizing and operation of PV-battery systems. Therefore, an optimization model is presented which implements non-linear, convex and linear converter and battery loss model formulations. The relaxed convex formulation is equivalent to the original non-linear formulation and can be solved more efficiently, decreasing the run time by a factor of 4. The impact of non-linear as opposed to linear loss models on the optimal solution is illustrated for a residential DC-coupled PV-battery system. The linear loss model is shown to result in an underestimation of the cost by 14.7% and the battery size by 12.4%. Further, the battery utilization is underestimated by a third. The proposed method is useful to accurately model the losses when optimizing the sizing and operation of a PV-battery system in exchange for a slightly higher computational time compared to linear loss models, though far below that of solving the non-relaxed non-linear problem. • Measurement-based quadratic loss models were implemented using convex relaxations • Up to four times faster run times compared to non-linear optimization • Optimization results using linear and convex loss models were compared • Simultaneous optimization of PV-battery system sizing and operation • Optimal sizing of the battery, PV and individual converters of the DC-coupled system [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03062619
- Volume :
- 353
- Database :
- Academic Search Index
- Journal :
- Applied Energy
- Publication Type :
- Academic Journal
- Accession number :
- 173809255
- Full Text :
- https://doi.org/10.1016/j.apenergy.2023.121976