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.

1.
Baykov, B. P., et al., 1975, Turbochargers for Diesel Engines, “Mashinostroenie,” 1975 (in Russian).
2.
Danov, S., Yamamoto, T., and Arai, N., 1998, “Modeling the Power-Economic Characteristics of Diesel-Steam Combined Cycle in the Whole Spectrum of Operating Conditions,” Proc. ASME International Joint Power generation Conference, Baltimore MD, ASME, New York, (1), pp. 275–286.
3.
Danov, S., 1997, “A Differential Equation of the First Law of Thermodynamics for Modeling the Indicator Process of a Diesel Engine,” Proc. ASME International Design Engineering Technical Conferences, Computers in Engineering Conference, Sacramento, CA, ASME Paper DETC97/CIE-4429.
4.
Danov
,
S.
, and
Gupta
,
A. K.
,
2000
, “
Effects of SMD on the Combustion Related Parameters in Heavy-Duty Diesel Engines
,”
AIAA J. Prop. and Power
,
16
(
6
), pp.
980
987
.
5.
Danov
,
S.
, and
Gupta
,
A. K.
,
2001
, “
Influence of Imperfections in Working Media on Diesel Engine Indicator Process
,”
ASME J. Eng. Gas Turbines Power
,
123
, pp.
231
239
.
6.
Danov, S., and Gupta A. K., 1997, “Understanding of Diesel Engine Combustion Process,” ASME International Design Engineering Technical Conferences, Computers in Eng. Conference, Sacramento, CA, ASME Paper DETC97/CIE-4430.
7.
Danov, S., Furuhata, T., and Arai, N., 1998, “Effects of Thermo-Physical Properties of Products of Burning on the Combustion Characteristics in a Diesel Engine,” Proc. 63rd Annual Meeting of the Society of Chemical Engineers, Osaka, Japan, Paper E106, p. 101.
8.
Semenov, N. N., Theory of Chain Reactions and Heat Ignition, Znanic Publisher, Moscow (in Russian).
9.
Wark, K., 1995, Advanced Thermodynamics for Engineers, McGraw-Hill, New York.
10.
Shliakhin, P. N., 1974, Steam and Gas Turbines, Energia Publisher, Moscow (in Russian).
11.
Hiroyasu, H., 1985, “Diesel Engine Combustion and its Modeling,” Diagnostics and Modeling of Combustion in Reciprocating Engines, Proceedings of the Symposium COMODIA’85, Tokyo, pp. 53–75.
12.
Woschni
,
G.
, 1967, “Universally Applicable Equation for the Instantaneous Heat Transfer Coefficient in the Internal Combustion Engine,” SAE Paper 670931, SAE Trans., 76.
13.
Woschni, G., and Anisits, F., 1974, “Experimental Investigation and Mathematical Presentation of Rate of Heat Release in Diesel Engines Dependent Upon Engine Operating Conditions,” SAE Paper No. 7400086.
14.
Heywood, J. B., 1988, Internal Combustion Engine Fundamentals, McGraw-Hill, New York.
15.
Gonchar, B. M., 1969, “Numerical Modeling of Diesel Engine Cycle,” D.Sc. thesis, Moscow (in Russian).
16.
Hiroyasu
,
H.
, and
Kadota
,
T.
, 1983, “Fuel Droplet Size Distribution in Diesel Combustion Chamber,” SAE Trans., 83.
17.
Hardenberg
,
H. O.
, and
Hase
,
F. W.
, 1979, “An Empirical Formula for Computing the Pressure Rise Delay of a Fuel From Cetane Number and From the Relevant Parameters of a Direct-Injection Diesel Engines,” SAE Paper 790493, SAE Trans., 88.
18.
Rivkin, S., and Alexandrov, A., 1978, Thermodynamic Properties of Water and Steam, Sofia, Technika Publisher.
19.
Enin, V., 1978, Marine Steam Generators, Transport Publisher, Moscow.
20.
Dorn, W. S., and McCracken, D. D., 1972, Numerical Methods With Fortran 4 Case Studies, John Wiley and Sons, New York.
21.
Fox, L., 1962, Numerical Solution of Ordinary and Partial Differential Equations, Pergamon Press, Oxford.
22.
Ralston
,
A.
,
1962
, “
Runge-Kutta Methods with Minimum Error Bounds
,”
Mathematics of Computation
pp.
431
437
.
You do not currently have access to this content.