[Objective] Heatwaves， featured by extensive influence and high intensity， are among the meteorological disaster events that exert the most significant impacts on China’s power system. Industrial consumers， possessing substantial power demand and considerable regulation potential， represent high-quality resources for ensuring a guaranteed power supply. However， existing studies have not fully accounted for the coupled effect of temperature and humidity on temperature-sensitive loads under humid heatwaves， which hinders the accurate prediction of load gaps. Furthermore， traditional power consumption control overlooks the industrial chain coupling characteristics inherent in industrial clusters. In engineering practice， loads are usually curtailed at a uniform proportion， which tends to trigger passive shutdowns of upstream and downstream enterprises and cascading supply disruptions， resulting in massive economic losses. To address these issues， this paper proposes a power consumption control method for industrial clusters considering industrial chain coupling under humid heatwaves.[Methods] First， by integrating multiple meteorological factors including temperature and humidity， the source-load sequence of the power system under high-temperature scenarios is generated to improve the accuracy of load gap forecasting. Second， based on the industrial chain coupling characteristics of industrial clusters， an evaluation model of internal load regulation capability is established， taking into account the production features of industrial consumers. Furthermore， an optimal operation model for regional power grids with a high proportion of industrial loads is constructed， with the objective of minimizing both the planned regulation loss of industrial loads and the coupled loss of the industrial chain.[Results] Simulation verification was conducted on a regional power grid with a high proportion of industrial loads in eastern China. The results demonstrate that the proposed method significantly reduces load regulation losses and cascading supply disruption losses within the industrial chain compared with traditional control methods.[Conclusions] The proposed method can effectively address the unique challenges of power consumption control for industrial clusters under humid heatwaves， remedy the deficiencies of traditional methods that ignore industrial chain coupling， and mitigate the comprehensive loss under supply-demand imbalance. This approach provides scientifically sound and feasible technical support for power systems managing peak summer loads.