The effect of a regenerative heat exchanger in a gas turbine is analys
ed using a regenerative Brayton cycle model, where all fluid friction
losses in the compressor and turbine are quantified by an isentropic e
fficiency term and all global irreversibilities in the heat exchanger
are taken into account by means of an effective efficiency. This analy
sis, which generalizes that reported by Gordon and Huleihil for a simp
le, non regenerative Brayton cycle, provides a theoretical tool for th
e selection of optimal operating conditions in a regenerative gas turb
ine. For a fixed ratio of the compressor inlet temperature to the turb
ine inlet temperature and in terms of the isentropic and regenerator e
fficiencies we present explicit results for the behaviour of the maxim
um efficiency, efficiency at maximum power, maximum power and power at
maximum efficiency as well as for the behaviour of the pressure ratio
s required for maximum efficiency and maximum power.