This paper demonstrates the use of the Infinite DimEnsionAl State space (IDEAS) approach in synthesizing optimal power cycles featuring minimum heat exchange area. IDEAS is used to synthesize power cycle networks which include splitters, mixers, pumps, turbines, and heat exchangers and feature a single or multiple working fluid(s). The overall synthesis goal is to minimize heat exchange area requirements, while delivering a fixed percentage of the maximum net power obtainable from a given set of hot and cold utilities. The global optimality of the obtained power cycle network configuration is guaranteed, since IDEAS gives rise to convex (linear) programs. The power of the proposed approach is demonstrated on a case study involving the generation of electricity by a bottoming cycle with a pure ammonia working fluid. Real thermodynamic data for pure ammonia and rigorous equipment models are employed in carrying out the proposed optimization. (C) 2002 Elsevier Ltd. All rights reserved.