Solid Oxide Fuel Cell (SOFC) based combined heat and power systems are considered a promising technology for residential purposes. Meantime, Distributed Energy Resources (DER) installations are typical applications that need energy storage and fit well with the features of ZEBRA battery. The objective of this work was to develop an efficient hybrid system able to deliver the power requirement, combine energy storage and ensure durable operation. The integration of a SOFC system with one or more storage devices allows, in fact, to use the inherent advantages of each system. A specific control algorithm was developed for utilizing the SOFC system as a base power source and ZEBRA battery as a complementary source. The developed demonstrator is a Combined Storage Heat and Power (CSHP) system.