Due to the increasing profitability of photovoltaic systems, the penetration of decentralized domestic photovoltaic energy sources is growing. Contrarily to conventional energy sources, photovoltaic systems cannot be scheduled to meet the consumption. This prompts the need to shift the energy consumption towards times with high photovoltaic production. Indeed, local consumption of the produced energy allows the prosumer to increase the profitability of its photovoltaic system and decreases the impact of high photovoltaic penetration on the distribution grid. To this end, energy management methods are investigated. However, the benefits of the methods are inherently dependent on the study case. This paper presents a sensitivity analysis based on a demand response method, investigating its dependency with the prosumer load profile and with the production forecast accuracy. The demand response method introduces flexibility in the time-of-use of electricity consuming devices in order to increase the profitability of photovoltaic systems, but also to reduce the peak power exchanged with the distribution grid.