The invention provides an advanced heat insulation compressed air energy storage combined heat and power supply operation feasible region analysis method. The method comprises the steps that when advanced adiabatic compressed air energy storage is in a charging-heating mode, a first energy storage state constraint and a first electric heating power constraint are determined according to the ratioof the heat absorption power to the charging power of a compression side heat exchanger and the ratio of the air inlet flow to the compression power in the compression process, and therefore the feasible region in the charging-heating mode is determined; and when the advanced adiabatic compressed air energy storage is in a power generation-heat supply mode, a second energy storage state constraintand a second electric heating power constraint are determined according to the ratio of the heat release power to the power generation power of the turbine side heat exchanger and the ratio of the air inlet flow to the expansion power in the expansion process, and therefore the feasible region in the power generation-heat supply mode is determined. According to the method, the determination of the operation feasible region is realized, the method can be used for evaluating the operation flexibility, the energy supply capability and the adjustment allowance of the system, a visual analysis tool is provided for improving the scheduling instruction tracking, and the system parameter design, the structure improvement and the operation optimization are guided.