High temperature electrolysis using solid oxide technology engineered to produce hydrogen in the context of integration with nuclear energy was investigated in \cite{Elangovan_2004}. Laboratory scale experiments have shown that this technology can produce hydrogen at close to the theoretical parameters and simulated an application of SOE for a nuclear hydrogen plant using high temperature electrolysis, as shown in Fig. \ref{302228}. The reactor supplies both electricity and steam to the electrolytic cell. The steam generator supplies very superheated steam to the cells at a temperature of 750 .. 950°C, and pressure of 10 .. 50 bar. The input gas contains both steam and hydrogen in order to maintain reducing conditions at the electrolytic cathode. This concept involves operating a solid oxide fuel cell in reverse and using the HTGR to supply both heat to generate steam and electricity to drive the electrolysis process. If the electrolyzer is operated at about 800\(^{\circ}\)C, approximately 75% of the energy is supplied to the electrolyzer in the form of electricity and the remaining energy is supplied in the form of process heat to generate steam at 800\(^{\circ}\)\cite{Richards_2004}. Theoretical hydrogen production efficiencies greater than 50% are predicted for HTGR coolant outlet temperatures greater than 850\(^{\circ}\)C.
A research program at Idaho National Laboratory was tasked with simultaneously addressing research and scale-up issues associated with the implementation of planar solid-oxide electrolysis cell technology for hydrogen production from steam. The research program included an experimental program aimed at performance characterization of electrolysis cells and stacks.  Results of some of the single-cell tests as well as CFD modeling of the Solid Oxide Electrolysis were documented in several papers \cite{hawkes2005cfd,Hawkes_2005,herring2007overview,Hawkes_2007,Hawkes_2008}. They also investigated the possibility of performing co-electrolysis of steam and carbon dioxide \cite{Hawkes_2005}.
In principle, all non-photolytical methods of hydrogen production can be coupled with a nuclear reactor to provide electricity and process heat \cite{verfondern2007nuclear}. That paper lists a number of possible applications, as conventional light-water reactors can be employed to deliver electricity for the low temperature electrolysis process; electricity and hydrogen production are principally separated and could even be deployed at different locations. Other types of reactors with higher coolant outlet temperatures enable the hot medium to be used directly, transferring its heat to the chemical process.  
The investigation presented in \cite{uzunow2008} considers complex calculations of a new, combined water-steam system with peak-load hydrogen turbine to be applied in nuclear units with gas-cooled reactors.  The system's characteristic feature is the presence of two heat sources: a nuclear steam generator and a hydrogen-oxygen combustion chamber. The main idea is to create a system capable ofoperating in two modes, with one or two heat sources, which leads to significant output change. The results obtained are promising: system performance is very high, and its operating parameters are technically realizable in today's conditions. In addition, it delivers emission-free, dispatchable electricity generation during peak daytime demand.