This report describes the implementation of the Dispa-SET model version 2.2. It extensively describes the model equations, the model inputs, and the resolution process. This version of Dispa-SET focuses more specifically on the inclusion of the heating sector, with a new dedicated module. It allows simulating the potential interactions between heat and power and the exploitation of thermal storage as a flexible resource. The model is an open-source tool and comes with an open dataset for testing purposes. It can therefore be freely re-used or modified to fit the needs of a particular case study.