As rooftop solar panels and batteries are becoming more viable in the residential area, home energy management system (HEMS) is rapidly gaining popularity. Its operation should consider possible interactions with utility regulators to make benefit from pricing policies. To reduce house energy expenses, as an objective of scheduling electrical appliances at home, this research proposes a HEMS controlling method to take a connecting agreement and the expected active power curtailment into account. Such a curtailment comes from a generation-load balance requirement planned by system operators, a preset volt-watt function in the solar-battery inverter, or from both. In addition, effects of HEMS synchronization on the loading condition of a pole-transformer are investigated. Through simulations of a low-voltage network, effectiveness of the proposed HEMS control is well illustrated in different scenarios of electricity prices.