Modeling the Performance Characteristics of Diesel Engine Based Combined-Cycle Power Plants—Part I: Mathematical Model

Abstract

In this two-part series publication, a mathematical model of the energy conversion process in a diesel engine based combined-cycle power plant has been developed. The examined configuration consists of a turbocharged diesel engine (the topping cycle), a heat recovery steam generator (HRSG) and a steam turbine plant (the bottoming cycle). The mathematical model describes the processes that occur simultaneously in the diesel engine cylinders, turbocharger, air filter, air inlet pipes, exhaust pipes, HRSG, steam turbine, and the associated auxiliary equipment. The model includes nonlinear differential equations for modeling the energy conversion in the diesel engine cylinders, fuel combustion, gas exchange process, energy balance in the turbocharger, inlet pipes and exhaust system, heat balance in the HRSG, and steam turbine cycle. The fifth-order Kuta-Merson method has been applied for numerical solution of these simultaneous equations via an iterative computing procedure. The model is then used to provide an analysis of performance characteristics of the combined-cycle power plant for steady-state operation. The effect of change in the major operating variables (mutual operation of diesel engine, HRSG, and steam turbine) has been analyzed over a range of operating conditions, including the engine load and speed. The model validation and the applications of the model are presented in Part II (Results and Applications) of this two-part series publication.