This paper simulates the impact of battery sizing for an actual nearly-zero energy (NZEB) single-family house with solar PV located in Boras, Sweden. Simulations are done,° using measurement data as an input, for three different battery dispatch algorithms with two different purposes; (i) peak power shaving and (ii) maximising system self-consumption (SC) and self-sufficiency (SS) of the solar PV. The results show that the optimal battery storage size for this single-family house, given its measured electrical loads and existing solar PV system is around 7.2 kWh. System self-consumption and self-sufficiency from generated solar PV increased with 24.3 percentage points compared to a reference case without battery. Furthermore, results show that increasing the battery size beyond 7.2 kWh only results in minor performance gains.