Current methods for post-disaster integrated energy system (IES) repair and restoration mostly neglect to consider the impact of gas/heat dynamics on objective multi-timescales and do not adequately exploit the load-side flexibility resources

the lack of a heat network model

and its coupling relationship as well. A heat network fault repair and restoration model that considers heat loss is proposed. Based on the transient models of gas and heat networks under faults

a specific method and calculation process for quantifying the gas/heat inertia are proposed

with an optimisation calculation model constructed. An integrated demand response framework applicable to the IES repair and restoration process is constructed

and based on the mechanism of user participation in load restoration

a calculation model for different types of loads participating in integrated demand response is proposed. The necessity of considering gas/heat inertia and the effectiveness of the proposed method

considering integrated demand response

are verified with examples. The example results demonstrate that the proposed method can effectively reduce the economic loss of IES after a disaster

reduce the load loss

shorten the load restoration time

and optimise the repair and restoration strategy.