Calibration of 0-D combustion model applied to dual-fuel engine

Development and Validation of Heat Release Characteristics Identification Method of Diesel Engine under Operating Conditions

“…The foregoing is supported by the work of other authors on the single-phase Wiebe function for an engine (TBD234V6 medium speed; B/S 128/140 mm; 444 kW) operating on 70% diesel and 30% fatty acid methyl ester (D70B30) at a 50% and 25% engine load. In all cases, the results led to unacceptable inaccuracy (R 2 = 0.94) compared with experimental data [29]. In contrast, according to several other researchers the use of the single-phase combustion Wiebe function with Woschni's analytical additions ensure an adequately accurate determination of m and ϕ z parameters over a wide load range.…”

“…Reports in literature show that the calculation error of the combustion cycle energy parameters resulting from the use of the double-phase Wiebe function compared with experimental data reaches 4.15% for an engine (Deutz FL1 906; B/S 95/100 mm single cylinder; 11 kW; 2400 RPM) running on D70/B30 at different load modes [31]. On the contrary, in a study [29] considering an analogous load range (25-100%), a high simulation accuracy of energy parameters of an engine (TBD234V6 medium speed; B/S 128/140 mm; 444 kW) was achieved with an error of 0.06-1.2%. Moreover, in applying the double-phase Wiebe function to simulate a marine engine running on diesel (B/S 128/140 mm; 444 kW; 1800 RPM), the calculation error of the heat release characteristic at a 20% engine load reaches 1.4% [22].…”

“…The Wiebe model was proposed in 1970 [17] to determine the heat release using singlephase (kinetic) combustion and double-phase (kinetic-diffusion) combustion functions with various types of fuel. The model continues to be widely used in internal combustion engine (ICE) research [21][22][23][27][28][29][30][31][32][33]. In the initial research stage, virtually all the Wiebe heat release characteristic parameters are determined according to experimental indicator diagrams with the engine operating in rated power and part load modes.…”

“…For practical applications, determining m and ϕ z parameters is extremely important under various engine operating conditions. In general, these parameters are determined based on experimental data when the pressure in the cylinder is registered (i.e., when registering indicator diagrams) [27][28][29][30][31][32][33]. According to ongoing research, no technological difficulties are encountered in performing engine bench tests under laboratory conditions to record the pressure in the cylinder and other operating parameters.…”

The combustion and emission improvements for diesel–biodiesel hybrid engines based on response surface methodology

“…A genetic algorithm based on algebraic analysis is proposed to optimize the combustion phase change angle of a dual-fuel engine, and a double Wiebe function is proposed to fit the actual operating conditions in its work. Finally, by comparing the genetic algorithm with the Levenberg-Marquardt (LM) algorithm for iterative calculations, the genetic algorithm is examined for its practicality, and also, the accuracy of the genetic algorithm is demonstrated (Hu et al, 2022a). However, while improving its convergence, the genetic algorithm requires about 150 iterations, requiring much computational time.…”