Open multi-energy system models are becoming increasingly more important for transitioning into a sustainable energy system. Open-source energy modelling tools like SpineOpt can provide such a transparent and flexible framework for performing complex and realistic case studies. In this paper, a short-term electricity and heat dispatch model with different types of Combined Heat and Power units and Power-to-Heat systems is implemented and simulated, using SpineOpt. The model’s performance and efficacy is evaluated against the commercial equation-based optimisation library GUROBIPY with good results. The model and the data are made openly available.