With climate change is an undeniable reality, hydrogen based energy solutions will become increasingly important for specific aspects of economies. To meet emission targets, Solid Oxide Electrolysers (SOECs) and Solid Oxide Fuel Cells (SOFCs) will become an increasingly useful part of global energy infrastructure. Identifying the economically advantageous areas where SOECs and SOFCs can be deployed inside a complex economic and energy systems requires the creation of numerical models which are capable of analysing economic and energy markets as well as models which replicate the characteristics of SOEC/SOFC operations. This thesis describes the fundamental physical principals used to create numerical models which describe the steady state behavior of solid oxide cells and
SOEC systems and discusses the results for various operation strategies of SOEC systems.