The integration of energy storage and wind power is an effective solution to address the challenge of system stability. Hydrogen energy storage system offers large storage capacities to supply electricity, making it highly promising for large-scale consumption of wind power. However, due to the uncertainty of wind power, the thermal demand of hydrogen energy storage system is uncertain when the system switches operation modes frequently. Therefore, the thermal energy demand of the hydrogen storage system in intermittent mode is considered comprehensively. Initially, the basic structure of the electricity and heat integrated energy system connected to the hydrogen energy storage system is introduced, and a wind-hydrogen hybrid system composed of a wind farm and hydrogen energy storage is described. Furthermore, a robust interval optimization dispatch model for the electricity-heat integrated energy system is proposed, taking into account the uncertainty of the thermal balance demand of the wind-hydrogen hybrid system. Finally, based on the duality theory, the proposed model is transformed into a mixed-integer linear programming problem. By comparing and analyzing the optimization results of various scenarios through numerical examples, the effectiveness of hydrogen energy storage in promoting wind power consumption and increasing the comprehensive energy utilization rate of the system is verified. It is also demonstrated that the system's efficiency can be improved by considering the working temperature of electrolytic and fuel cell, leading to an increase in the grid-connected power of wind farms.