Deslagging and dedusting system capable of separating ash and slag

The invention relates to a slag and dust removal system for ash and slag separation, which belongs to the technical field of waste heat boiler application and comprises a coal hopper, a fire grate, a slag falling hopper, a slag removal device, an ash flushing groove, a first convection bank, a second convection bank, an ash blower, a first ash falling device, a second ash falling device, a hydraulic ash discharge water spray pipe and an ash falling hopper. A slag falling hopper and an ash flushing groove are arranged at the bottom of the fire grate, a hydraulic ash discharging water spraying pipe is arranged in the ash flushing groove, a first convection bank and a second convection bank are arranged in a smoke pipeline of the fire grate, and two ash blowers are arranged on the side face, corresponding to the convection banks, of the smoke pipeline. A first ash falling device and a second ash falling device are arranged at the bottom of the flue gas pipeline and are both connected with an ash falling hopper;