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Numerical Modeling and Multi-Objective Control of Air Pollutant Emissions from Natural Gas Internal Combustion Engines

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24 mar 2025

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Figure 1.

The temperature change trend on the central axis of the combustion chamber
The temperature change trend on the central axis of the combustion chamber

Figure 2.

The radial distribution of NOx in each cross section
The radial distribution of NOx in each cross section

Figure 3.

The parameters of axial distance distribution under different temperature
The parameters of axial distance distribution under different temperature

Figure 4.

Structural diagram of the algorithm
Structural diagram of the algorithm

Figure 5.

Pareto frontier of multi-objective optimization
Pareto frontier of multi-objective optimization

Figure 6.

The relationship curve of CO2 emission rate and annual total cost
The relationship curve of CO2 emission rate and annual total cost

Figure 7.

The relationship curve of system exergy efficiency and annual total cost
The relationship curve of system exergy efficiency and annual total cost

Figure 8.

The relationship curve of CO2 emission rate and system exergy efficiency
The relationship curve of CO2 emission rate and system exergy efficiency

Figure 9.

The proportion of the system environment part cost in annual total lost
The proportion of the system environment part cost in annual total lost

The energy, economic and environmental performance of the optimization point

Target function Unit Before optimization After optimization
Cost ¥ 6.52×108 6.45×108
HGTCC % 56.31 56.82
ε kg/(MW·h) 357.61 353.31

Optimized system and original system design parameters

Design parameter Unit Before optimization After optimization
High pressure steam pressure value MPa 9.921 12.568
Medium pressure vapor pressure value MPa 2.13 2.05
Low pressure steam pressure value MPa 0.38 0.27
High pressure steam temperature °C 567.6 573.69
Reheat steam temperature °C 576.6 576.98
Close temperature difference (high, medium, low pressure) °C 15/15/15 17/8/8
Node temperature difference (high, medium, low pressure) °C 8/8/8 5/9.5/5

The variation ranges of the design parameters

Design parameter Variation range
High pressure steam pressure value 9.5MPa~12.5MPa
Medium pressure vapor pressure value 2.0MPa~2.6MPa
Low pressure steam pressure value 0.3 MPa ~0.9 MPa
High pressure steam temperature <575.65°C
Reheat steam temperature <575.65°C
Close temperature difference (high, medium, low pressure) 6~18°C
Node temperature difference (high, medium, low pressure) 10~22°C

Design parameters of the optimized points

Design parameter Unit Internal combustion turbine load rate
100% 75% 50% 30%
High pressure steam pressure value MPa 12.381 12.5 12.5 12.5
Medium pressure vapor pressure value MPa 2.11 2.126 2.11 2.11
Low pressure steam pressure value MPa 0.284 0.265 0.225 0.21
High pressure steam temperature °C 576.36 571 571 558.56
Reheat steam temperature °C 576.96 576.8 576.8 5573.879

Algorithm operation parameters

Item value
Population size 150
Cross probability 0.8
Mutation probability 0.2
The number of individuals per generation 0.7

Comparison of the analog and actual data of the combustion chamber exit

Item Analog value Actual value Error(%)
Combustion chamber outlet temperature(K) 1789.27 1796.57 0.41%
Mean NOx of combustion chamber exit(ppm) 24.08 24.52 1.79%
Maximum amplitude of pressure pulsation(kPa) 12.79 12.43 2.91%
Average flow rate of exit section(m/s) 115.58 120.61 4.17%
Mean CO of combustion chamber exit(ppm) 5.88 5.95 1.18%

Comparison of energy, economic, environment performance after optimization

Target function Unit Before optimization
100% 75% 50% 30%
Cost ¥(×108) 6.52 5.62 4.45 3.61
HGTCC % 56.31 53.38 50.37 45.98
ε kg/MW·h 357.61 376.79 400.65 442.3
Target function Unit After optimization
100% 75% 50% 30%
Cost ¥(×108) 6.45 5.52 4.36 3.24
HGTCC % 56.82 54.36 51.87 47.66
ε kg/MW·h 353.31 368.39 387.54 421.74