| With the widespread introduction of gas-electricity equipment and batteries in households,the coupling degree of natural gas and electricity is deepened,and the household integrated energy system has more space for optimization.However,various uncertain factors such as renewable energy output,ambient temperature,and user demand in the household integrated demand response bring challenges to the optimal allocation and operation of the household integrated energy system.In order to improve the economy and low-carbon operation of the household integrated energy system,this paper mainly studies the energy storage capacity allocation and operation optimization of the household integrated energy system.Firstly,the allocation and operation framework of household integrated energy system based on interval optimization are proposed.This paper discusses the concepts,principles,and resources of household integrated demand response,and analyzes the principle of mutual aid between energy resources in household integrated demand response.The influence of uncertainty on integrated demand response was explored,and the interval optimization method was used to solve the uncertainty problem,and the framework of the allocation and operation of the household integrated energy system considering batteries was constructed.Secondly,under the background of photovoltaic output and user demand uncertainty,the interval optimization method is used to optimize the capacity allocation of energy storage equipment in the household integrated energy system.The optimization objective is the sum of annual operating cost and investment cost,and the decision variables are the capacity of battery and the ratio of power and gas consumption in the total energy consumption of gas-electricity equipment.Optimize the battery capacity of the household integrated energy system to obtain the optimal battery capacity and the proportion of power consumption in the total energy consumption of the gas-electricity equipment.The simulation results show that when the battery capacity is 12 k Wh,the sum of annual operating cost and investment cost of household is the lowest,and the economic benefit of household users is the highest.Thirdly,optimize the household integrated energy system that has been configured with battery capacity to control the switching state of load and the type of energy used.Interval optimization method is used to deal with the uncertain variables such as renewable energy output,ambient temperature,and user demand in the system,and the uncertain model is transformed into a deterministic model through interval order relation and interval possibility degree.At the same time,the potential for integrated demand response is further explored by considering the tolerance users.Finally,genetic algorithm is used to solve the deterministic model.The simulation results verify that the proposed interval optimization method can effectively deal with the uncertainty of the system,and on the basis of satisfying the needs of users,the energy cost can be saved by 14.7% compared with the household energy system using the deterministic optimization method.Under the condition of interval optimization,the energy cost of the household integrated energy system with batteries can be reduced by 9% compared with the household integrated energy system without batteries. |