A. PV Generation and Load Profile
By using the established model, the case of a one-family house with a roof mounted PV system will be studied over one year. The load profile is synthetically generated by a load generator [17] for a household with a couple and two kids. The annual consumption is 4 135 kWh. A time resolution of 30 seconds is chosen in order to preserve the typical domestic short term demand peaks. The PV generation profile is taken from empirical data of a roof mounted PV system located in Eschwege, Germany from 2014, and linearly scaled to 5 kWp with an annual generation of 5 030 kWh [18]. The time interval of PV generation power is 15 min. Fig. 4 shows the energy density of the load and generation profiles versus power