I. Introduction
Decentralized renewable power generation gains much attention as an environmentally friendly power source and a promoter of local economies. One additional advantage often advocated is that decentralized renewable electricity generation helps avoiding infrastructure cost, because the transmission system is used less, as generation is geographically close to the consumption [1]. However, in many cases, variable renewable energy hardly reduces the annual net peak load [2]. The authors of [3] quantitatively illustrate that grid interaction can decrease with the introduction of on-site photovoltaic (PV) systems in Australia, but show the effect only for one case with a fixed PV size. With larger PV sizes, increased generation could cancel out the avoided transmission and even require an enhancement of grid infrastructure for exporting the surplus electricity. Therefore, it is interesting to study how avoided transmission depends on the PV size, and how it changes if battery storage is added to the local energy system.