A Multi-objective Optimization Approach for Photovoltaic and Battery Sizing in an Off-Grid Power System

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Abstract
In the capacity optimization for off-grid power systems, accurate modeling of photovoltaic (PV) and battery energy storage devices is crucial for achieving precise optimization results on the system level. On this point, this work presents a physical PV model chain, as well as a measurement-based capacity degradation model for lithium-ion batteries, to objectively reflect the irradiance-to-power conversion process of PV panels and the actual operating behavior of batteries. These refined models are then incorporated into a multi-objective optimization problem for an off-grid power system located in a cold-climate city, Harbin, China. The results of the case study indicate that conventional PV and battery modeling severely underestimate the investment cost of the system by up to 10.7% (or S1.46 million in monetary terms). What this suggests is that precise and reliable optimization results of the off-grid system can only be ensured if accurate and realistic PV and battery models are used.

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