Combustion engine combined heat and power generation heat supply system with synchronous automatic gear shifting clutch and method

The invention belongs to the technical field of gas turbine combined heat and power generation heat supply, and provides a gas turbine combined heat and power generation heat supply system with a synchronous automatic gear shifting clutch and a method. The gas turbine combined heat and power generation heat supply system with the synchronous automatic gear shifting clutch comprises a high-pressure cylinder, an intermediate-pressure cylinder, a low-pressure cylinder, a high-temperature reheat steam pipeline, a low-pressure main steam pipeline, an intermediate-low pressure communicating pipe heat supply pipeline and a steam extraction heat supply pipeline, and the synchronous automatic gear shifting clutch is arranged between the intermediate-pressure cylinder and the low-pressure cylinder; the synchronous automatic gear shifting clutch is used for controlling the unit to be switched between a steam condensing operation mode and a back pressure heat supply operation mode. The high-temperature reheat steam pipel