This paper focuses on the dynamics and control aspects of a class of energy integrated networks with large recycle of energy compared to the input/output energy flows. A prototype network is considered to identify the underlying model structure. A time scale separation in the energy dynamics of such networks is documented. Using singular perturbation techniques, a model reduction procedure is outlined, resulting in nonstiff reduced order models for the dynamics in each time scale. The theoretical results are illustrated with the help of examples and a simulation case study on a reactor-feed effluent heat exchanger network.