This study provides a risk-based gas and electricity expansion planning model to coordinate the expansion of electricity and gas networks in a multi-carrier energy network. Generally, electricity and gas networks have separate owners having no mechanisms to share information. In this study, a distributed algorithm based on alternative direction method of multipliers is developed to preserve the privacy of electricity and gas networks while maintaining a coordination link. Probabilistic outage of components is implemented into the expansion planning model to investigate the interactions between electricity and gas networks and evaluate the risk of contingencies in generating units, transmission lines, and pipelines. Second fuel of gas consuming generating units is modelled to have a holistic approach while studying electricity and gas interactions in the case of contingencies. Moreover, conditional value at risk is used to adjust a balance between risk and investment where each of energy parties can decide on the risk level of their expansion plans. The proposed expansion planning approach is applied to a realistic case study to evaluate its performance

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