As a kind of clean heating and cooling equipment with high energy efficiency ratio , ground source heat pump (GSHP) has been widely used in the integrated energy system (IES). However, the output of different types of power by GSHP in different seasons will cause seasonal scheduling problems. Therefore, this study constructs a seasonal differential scheduling model of IES with surface-water GSHP and ground-water GSHP. In addition, the bald eagle search algorithm (BES) is improved to solve the daily scheduling optimization problem of IES on typical days in summer, transition season and winter, for the IES to formulate different energy supply scheduling strategies in different seasons. Firstly, the power supply, heating and cooling equipment are modeled, considering the capacity characteristics of GSHPs. Meanwhile, the energy scheduling strategies of IES in summer, transition season and winter are constructed. Secondly, this study uses Hammersley low-disparity sequence to improve the initial population, adds the comparative analysis stage of search space and hunting position, and introduces the differential mutation population to jump out of the local solution to improve the BES algorithm. Thirdly, the improved bald eagle search algorithm (IBES) is used to solve the typical daily energy scheduling problem of IES with surface-water GSHP and ground-water GSHP in different seasons, taking into account the equality constraints of energy balance and the inequality constraints of normal operation of equipment. Finally, the effectiveness of IBES algorithm in solving seasonal differential scheduling model is verified by the measured data of IES. The optimization results show that the comprehensive economic cost of the IES solved by IBES algorithm is 0.01%, 0.06% and 0.03% lower than that of BES algorithm in summer, transition season and winter, and the comprehensive economic cost of the IES with surface-water GSHP and ground-water GSHP is 7.23% lower than that of the IES without GSHPs. The results of this study are helpful to improve the utilization efficiency of GSHPs in IES and the economy of the IES. • The seasonal difference model of the IES is proposed to optimize the comprehensive cost of the system. • The energy supply strategy of new energy and the application strategy of energy storage equipment are improved. • The methods improve the BES algorithm. • The results show that installing GSHPs in the IES saves system cost.
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