The reaction mechanism function can effectively characterise the insulation ageing and deterioration process of GIS basin-insulators, which helps to reveal the failure mechanism of insulating materials and provides a new way to assess the insulation performance of basin-insulators. and establish the reaction mechanism expression. This expression may be adjusted to accommodate different reaction stages or pathways and has a broader range of applicability. On this basis, a structural form of this test function is derived based on the non-isothermal kinetic equations and the formulae for calculating the model are derived. Using this method it is also possible to calculate the finger front factor at the same time. The reaction mechanism functions for basin insulators and cross-linked polyethylene are further specified and the validity of the generic characte risation model and solution method for the reaction mechanism functions is verified based on the Coast-Redfern method and the modified Flynn-Wall-Ozawa method. The above work provides an effective method for analysing the reaction mechanism of the degradation process of insulator insulation materials