Mapped SI Engine

Spark-ignition engine model using lookup tables

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Libraries:
Powertrain Blockset / Propulsion / Combustion Engines
Vehicle Dynamics Blockset / Powertrain / Propulsion

Description

The Mapped SI Engine block implements a mapped spark-ignition (SI) engine model using power, air mass flow, fuel flow, exhaust temperature, efficiency, and emission performance lookup tables. You can use the block for:

• Hardware-in-the-loop (HIL) engine control design

• Vehicle-level fuel economy and performance simulations

The block enables you to specify lookup tables for these engine characteristics. The lookup tables, developed with the Model-Based Calibration Toolbox™, are functions of commanded torque, T_cmd, brake torque, T_brake, and engine speed, N. If you select Input engine temperature, the tables are also a function of engine temperature, Temp_Eng.

Table	Input Engine Temperature Parameter Setting
	off	on
Power	ƒ(Tcmd,N)	ƒ(Tcmd,N,TempEng)
Air	ƒ(Tbrake,N)	ƒ(Tbrake,N,TempEng)
Fuel
Temperature
Efficiency
HC
CO
NOx
CO2
PM

To bound the Mapped SI Engine block output, the block does not extrapolate the lookup table data.

Virtual Calibration

If you have Model-Based Calibration Toolbox, click Calibrate Maps to virtually calibrate the 2D lookup tables using measured data. The dialog box steps through these tasks.

Task	Description
Import firing data	Import this loss data from a file. For example, open <matlabroot>/toolbox/mbc/mbctraining/SiEngineData.xlsx. For more information, see Using Data (Model-Based Calibration Toolbox). Required Data Optional Data Engine speed, rpm Engine torque, N·m Air mass flow rate, kg/s Brake specific fuel consumption, g/(kW·h) CO2 mass flow rate, kg/s CO mass flow rate, kg/s Exhaust temperature, K Fuel mass flow rate, kg/s HC mass flow rate, kg/s NOx mass flow rate, kg/s Particulate matter mass flow rate, kg/s Collect firing data at steady-state operating conditions when injectors deliver the fuel. Data should cover the engine speed and torque operating range. Model-Based Calibration Toolbox uses the firing data boundary as the maximum torque. To filter or edit the data, select Edit in Application. The Model-Based Calibration Toolbox Data Editor opens.
Import non-firing data	Import this non-firing data from a file. For example, open <matlabroot>/toolbox/mbc/mbctraining/SiEngineData.xlsx. Engine speed, rpm Engine torque, N·m Collect non-firing (motoring) data at steady-state operating conditions when fuel is cut off. All non-firing torque points must be less than zero. Non-firing data is a function of engine speed only.
Generate response models	For both firing and non-firing data, the Model-Based Calibration Toolbox uses test plans to fit data to Gaussian process models (GPMs). To assess or adjust the response model fit, select Edit in Application. The Model-Based Calibration Toolbox Model Browser opens. For more information, see Model Assessment (Model-Based Calibration Toolbox).
Generate calibration	Model-Based Calibration Toolbox calibrates the firing and non-firing response models and generates calibrated tables. To assess or adjust the calibration, select Edit in Application. The Model-Based Calibration Toolbox CAGE Browser opens. For more information, see Calibration Lookup Tables (Model-Based Calibration Toolbox).
Update block parameters	Update the block lookup table and breakpoint parameters with the calibration.

Cylinder Air Mass

The block calculates the normalized cylinder air mass using these equations.

$$\begin{array}{l}{M}_{Nom}=\frac{P_{std}{V}_d}{N_{cyl}{R}_{air}{T}_{std}}\\ L=\frac{\left(\frac{60s}{min}\right)Cps\cdot {\dot{m}}_{air}}{\left(\frac{1000g}{Kg}\right)N_{cyl}\cdot N\cdot M_{Nom}}\end{array}$$

The equations use these variables.

L	Normalized cylinder air mass
$M_{Nom}$	Nominal engine cylinder air mass at standard temperature and pressure, piston at bottom dead center (BDC) maximum volume, in kg
$$Cps$$	Crankshaft revolutions per power stroke, rev/stroke
$P_{std}$	Standard pressure
$T_{std}$	Standard temperature
$R_{air}$	Ideal gas constant for air and burned gas mixture
$V_d$	Displaced volume
$N_{cyl}$	Number of engine cylinders
N	Engine speed
${\dot{m}}_{intk}$	Engine air mass flow, in g/s

Turbocharger Lag

To model turbocharger lag, select Include turbocharger lag effect. During throttle control, the time constant models the manifold filling and emptying dynamics. When the torque request requires a turbocharger boost, the block uses a larger time constant to represent the turbocharger lag. The block uses these equations.

Dynamic torque	$$\frac{d{T}_{brake}}{dt}=\frac{1}{{\tau }_{eng}}(T_{stdy}-T_{brake})$$
Boost time constant	$${\tau }_{bst}=\{\begin{array}{c}{\tau }_{bst,rising}\text{ when }{T}_{stdy}>T_{brake}\\ {\tau }_{bst,falling}\text{ when }{T}_{stdy}\le T_{brake}\end{array}$$
Final time constant	$${\tau }_{eng}=\{\begin{array}{c}{\tau }_{thr}\text{ when }{T}_{brake}<f_{bst}(N)\\ {\tau }_{bst}\text{ when }{T}_{brake}\ge f_{bst}(N)\end{array}$$

The equations use these variables.

Tbrake	Brake torque
Tstdy	Steady-state target torque
τbst	Boost time constant
τbst,rising, τbst,falling	Boost rising and falling time constant, respectively
τeng	Final time constant
τthr	Time constant during throttle control
ƒbst(N)	Boost torque speed line
N	Engine speed

Fuel Flow

To calculate the fuel economy for high-fidelity models, the block uses the volumetric fuel flow.

$$Q_{fuel}=\frac{{\dot{m}}_{fuel}}{\left(\frac{1000kg}{m^3}\right)S{g}_{fuel}}$$

The equation uses these variables.

$${\dot{m}}_{fuel}$$	Fuel mass flow
Sgfuel	Specific gravity of fuel
Qfuel	Volumetric fuel flow

Power Accounting

For the power accounting, the block implements these equations.

Bus Signal			Description	Equations
PwrInfo	PwrTrnsfrd — Power transferred between blocks Positive signals indicate flow into block Negative signals indicate flow out of block	PwrCrkshft	Crankshaft power	$-{\tau }_{eng}\omega$
	PwrNotTrnsfrd — Power crossing the block boundary, but not transferred Positive signals indicate an input Negative signals indicate a loss	PwrFuel	Fuel input power	${\dot{m}}_{fuel}LHV$
		PwrLoss	Power loss	${\tau }_{eng}\omega -{\dot{m}}_{fuel}LHV$
	PwrStored — Stored energy rate of change Positive signals indicate an increase Negative signals indicate a decrease		Not used

The equations use these variables.

LHV	Fuel lower heating value
ω	Engine speed, rad/s
$${\dot{m}}_{fuel}$$	Fuel mass flow
τeng	Fuel mass per injection time constant

Examples

SI Engine Dynamometer Reference Application

Simulate a spark-ignition (SI) engine and controller under a dynamometer test harness using the SI engine dynamometer reference application.

• Open Script

Ports

Input

TrqCmd — Commanded torque

scalar

Torque, T_cmd, in N·m.

EngSpd — Engine speed

scalar

Engine speed, N, in rpm.

EngTemp — Engine temperature

scalar

Engine temperature, Temp_Eng, in K.

Dependencies

To enable this port, select Input engine temperature.

Output

Info — Bus signal

bus

Bus signal containing these block calculations.

Signal			Description	Units
IntkGassMassFlw			Engine air mass flow output	kg/s
NrmlzdAirChrg			Normalized engine cylinder air mass	N/A
Afr			Air-fuel ratio (AFR)	N/A
FuelMassFlw			Engine fuel flow output	kg/s
FuelVolFlw			Volumetric fuel flow	m3/s
ExhManGasTemp			Engine exhaust gas temperature	K
EngTrq			Engine torque output	N·m
EngSpd			Engine speed	rpm
CrkAng			Engine crankshaft absolute angle $${\displaystyle \underset{0}{\overset{(360)Cps}{\int }}EngSpd\frac{180}{30}d\theta }$$ where $$Cps$$ is crankshaft revolutions per power stroke.	degrees crank angle
Bsfc			Engine brake-specific fuel consumption (BSFC)	g/kWh
EoHC			Engine out hydrocarbon emission mass flow	kg/s
EoCO			Engine out carbon monoxide emission mass flow rate	kg/s
EoNOx			Engine out nitric oxide and nitrogen dioxide emissions mass flow	kg/s
EoCO2			Engine out carbon dioxide emission mass flow	kg/s
EoPM			Engine out particulate matter emission mass flow	kg/s
PwrInfo	PwrTrnsfrd	PwrCrkshft	Crankshaft power	W
	PwrNotTrnsfrd	PwrFuel	Fuel input power	W
		PwrLoss	Power loss	W
	PwrStored		Not used

EngTrq — Engine brake torque

scalar

Engine brake torque, $T_{brake}$, in N·m.

Parameters

Block Options

Include turbocharger lag effect — Increase time constant

off (default)

To model turbocharger lag, select Include turbocharger lag effect. During throttle control, the time constant models the manifold filling and emptying dynamics. When the torque request requires a turbocharger boost, the block uses a larger time constant to represent the turbocharger lag. The block uses these equations.

Dynamic torque	$$\frac{d{T}_{brake}}{dt}=\frac{1}{{\tau }_{eng}}(T_{stdy}-T_{brake})$$
Boost time constant	$${\tau }_{bst}=\{\begin{array}{c}{\tau }_{bst,rising}\text{ when }{T}_{stdy}>T_{brake}\\ {\tau }_{bst,falling}\text{ when }{T}_{stdy}\le T_{brake}\end{array}$$
Final time constant	$${\tau }_{eng}=\{\begin{array}{c}{\tau }_{thr}\text{ when }{T}_{brake}<f_{bst}(N)\\ {\tau }_{bst}\text{ when }{T}_{brake}\ge f_{bst}(N)\end{array}$$

The equations use these variables.

Tbrake	Brake torque
Tstdy	Steady-state target torque
τbst	Boost time constant
τbst,rising, τbst,falling	Boost rising and falling time constant, respectively
τeng	Final time constant
τthr	Time constant during throttle control
ƒbst(N)	Boost torque speed line
N	Engine speed

Dependencies

Selecting Include turbocharger lag effect enables these parameters:

• Boost torque line, f_tbrake_bst

• Time constant below boost line, tau_thr

• Rising torque boost time constant, tau_bst_rising

• Falling torque boost time constant, tau_bst_falling

Input engine temperature — Create input port

off (default) | on

Select this to create the EngTemp input port.

The block enables you to specify lookup tables for these engine characteristics. The lookup tables, developed with the Model-Based Calibration Toolbox, are functions of commanded torque, T_cmd, brake torque, T_brake, and engine speed, N. If you select Input engine temperature, the tables are also a function of engine temperature, Temp_Eng.

Table	Input Engine Temperature Parameter Setting
	off	on
Power	ƒ(Tcmd,N)	ƒ(Tcmd,N,TempEng)
Air	ƒ(Tbrake,N)	ƒ(Tbrake,N,TempEng)
Fuel
Temperature
Efficiency
HC
CO
NOx
CO2
PM

Configuration

Calibrate Maps — Calibrate tables with measured data

selection

If you have Model-Based Calibration Toolbox, click Calibrate Maps to virtually calibrate the 2D lookup tables using measured data. The dialog box steps through these tasks.

Task	Description
Import firing data	Import this loss data from a file. For example, open <matlabroot>/toolbox/mbc/mbctraining/SiEngineData.xlsx. For more information, see Using Data (Model-Based Calibration Toolbox). Required Data Optional Data Engine speed, rpm Engine torque, N·m Air mass flow rate, kg/s Brake specific fuel consumption, g/(kW·h) CO2 mass flow rate, kg/s CO mass flow rate, kg/s Exhaust temperature, K Fuel mass flow rate, kg/s HC mass flow rate, kg/s NOx mass flow rate, kg/s Particulate matter mass flow rate, kg/s Collect firing data at steady-state operating conditions when injectors deliver the fuel. Data should cover the engine speed and torque operating range. Model-Based Calibration Toolbox uses the firing data boundary as the maximum torque. To filter or edit the data, select Edit in Application. The Model-Based Calibration Toolbox Data Editor opens.
Import non-firing data	Import this non-firing data from a file. For example, open <matlabroot>/toolbox/mbc/mbctraining/SiEngineData.xlsx. Engine speed, rpm Engine torque, N·m Collect non-firing (motoring) data at steady-state operating conditions when fuel is cut off. All non-firing torque points must be less than zero. Non-firing data is a function of engine speed only.
Generate response models	For both firing and non-firing data, the Model-Based Calibration Toolbox uses test plans to fit data to Gaussian process models (GPMs). To assess or adjust the response model fit, select Edit in Application. The Model-Based Calibration Toolbox Model Browser opens. For more information, see Model Assessment (Model-Based Calibration Toolbox).
Generate calibration	Model-Based Calibration Toolbox calibrates the firing and non-firing response models and generates calibrated tables. To assess or adjust the calibration, select Edit in Application. The Model-Based Calibration Toolbox CAGE Browser opens. For more information, see Calibration Lookup Tables (Model-Based Calibration Toolbox).
Update block parameters	Update the block lookup table and breakpoint parameters with the calibration.

Dependencies

To enable this parameter, clear Input engine temperature.

Breakpoints for commanded torque, f_tbrake_t_bpt — Breakpoints

1-by-M vector

Breakpoints, in N·m.

Breakpoints for engine speed input, f_tbrake_n_bpt — Breakpoints

1-by-N vector

Breakpoints, in rpm.

Breakpoints for temperature input, f_tbrake_engtmp_bpt — Breakpoints

[233.15 273.15 373.15] (default) | 1-by-L vector

Breakpoints, in K.

Dependencies

To enable this parameter, select Input engine temperature.

Number of cylinders, NCyl — Number

4 (default) | scalar

Number of cylinders.

Crank revolutions per power stroke, Cps — Crank revolutions

2 (default) | scalar

Crank revolutions per power stroke.

Total displaced volume, Vd — Volume

0.0015 (default) | scalar

Volume displaced by engine, in m^3.

Fuel lower heating value, Lhv — Heating value

45e6 (default) | scalar

Fuel lower heating value, LHV, in J/kg.

Fuel specific gravity, Sg — Specific gravity

0.745 (default) | scalar

Specific gravity of fuel, Sg_fuel, dimensionless.

Ideal gas constant air, Rair — Constant

287 (default) | scalar

Ideal gas constant of air and residual gas entering the engine intake port, in J/(kg*K).

Air standard pressure, Pstd — Pressure

101325 (default) | scalar

Standard air pressure, in Pa.

Air standard temperature, Tstd — Temperature

293.15 (default) | scalar

Standard air temperature, in K.

Boost torque line, f_tbrake_bst — Boost lag

1-by-M vector

Boost torque line, ƒ_bst(N), in N·m.

Dependencies

To enable this parameter, select Include turbocharger lag effect.

Time constant below boost line — Time constant below

0.2 (default) | scalar

Time constant below boost line, τ_thr, in s.

Dependencies

To enable this parameter, select Include turbocharger lag effect.

Rising torque boost time constant, tau_bst_rising — Rising time constant

1.5 (default) | scalar

Rising torque boost time constant, τ_bst,rising, in s.

Dependencies

To enable this parameter, select Include turbocharger lag effect.

Falling torque boost time constant, tau_bst_falling — Falling time constant

1 (default) | scalar

Falling torque boost time constant, τ_bst,falling, in s.

Dependencies

To enable this parameter, select Include turbocharger lag effect.

Power

Brake torque map, f_tbrake — 2D lookup table

M-by-N matrix

The engine torque lookup table is a function of commanded engine torque and engine speed, T = ƒ(T_cmd, N), where:

• T is engine torque, in N·m.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

Plot brake torque map — Plot table

button

Click to plot table.

Dependencies

To enable this parameter, clear Input engine temperature.

Brake torque map, f_tbrake_3d — 3D lookup table

M-by-N-by-L array

The engine torque lookup table is a function of commanded engine torque, engine speed, and engine temperature, T = ƒ(T_cmd, N, Temp_Eng), where:

• T is engine torque, in N·m.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

• Temp_Eng is engine temperature, in K.

Dependencies

To enable this parameter, select Input engine temperature.

Air

Air mass flow map, f_air — 2D lookup table

M-by-N matrix

The engine air mass flow lookup table is a function of commanded engine torque and engine speed, ${\dot{m}}_{intk}$ = ƒ(T_cmd, N), where:

• ${\dot{m}}_{intk}$ is engine air mass flow, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

Dependencies

To enable this parameter, clear Input engine temperature.

Plot air mass map — Plot table

button

Click to plot table.

Dependencies

To enable this parameter, clear Input engine temperature.

Air mass flow map, f_air_3d — 3D lookup table

M-by-N-by-L array

The engine air mass flow lookup table is a function of commanded engine torque, engine speed, and engine temperature, ${\dot{m}}_{intk}$ = ƒ(T_cmd, N, Temp_Eng), where:

• ${\dot{m}}_{intk}$ is engine air mass flow, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

• Temp_Eng is engine temperature, in K.

Dependencies

To enable this parameter, select Input engine temperature.

Fuel

Fuel flow map, f_fuel — 2D lookup table

M-by-N matrix

The engine fuel mass flow lookup table is a function of commanded engine torque and engine speed, MassFlow = ƒ(T_cmd, N), where:

• MassFlow is engine fuel mass flow, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

Dependencies

To enable this parameter, clear Input engine temperature.

Plot fuel flow map — Plot table

button

Click to plot table.

Dependencies

To enable this parameter, clear Input engine temperature.

Fuel flow map, f_fuel_3d — 3D lookup table

M-by-N-by-L array

The engine fuel mass flow lookup table is a function of commanded engine torque, engine speed, and engine temperature, MassFlow = ƒ(T_cmd, N, Temp_Eng), where:

• MassFlow is engine fuel mass flow, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

• Temp_Eng is engine temperature, in K.

Dependencies

To enable this parameter, select Input engine temperature.

Temperature

Exhaust temperature map, f_texh — 2D lookup table

M-by-N matrix

The engine exhaust temperature lookup table is a function of commanded engine torque and engine speed, T_exh = ƒ(T_cmd, N), where:

• T_exh is exhaust temperature, in K.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

Dependencies

To enable this parameter, clear Input engine temperature.

Plot exhaust temperature map — Plot table

button

Click to plot table.

Dependencies

To enable this parameter, clear Input engine temperature.

Exhaust temperature map, f_texh_3d — 3D lookup table

array

The engine exhaust temperature lookup table is a function of commanded engine torque, engine speed, and engine temperature, T_exh = ƒ(T_cmd, N, Temp_Eng), where:

• T_exh is exhaust temperature, in K.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

• Temp_Eng is engine temperature, in K.

Dependencies

To enable this parameter, select Input engine temperature.

Efficiency

BSFC map, f_eff — 2D lookup table

M-by-N-by-L array

The brake-specific fuel consumption (BSFC) efficiency is a function of commanded engine torque and engine speed, BSFC = ƒ(T_cmd, N), where:

• BSFC is BSFC, in g/kWh.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

Dependencies

To enable this parameter, clear Input engine temperature.

Plot BSFC map — Plot table

button

Click to plot table.

Dependencies

To enable this parameter, clear Input engine temperature.

BSFC map, f_eff_3d — 3D lookup table

M-by-N-by-L array

The brake-specific fuel consumption (BSFC) efficiency is a function of commanded engine torque, engine speed, and engine temperature, BSFC = ƒ(T_cmd, N, Temp_Eng), where:

• BSFC is BSFC, in g/kWh.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

• Temp_Eng is engine temperature, in K.

Dependencies

To enable this parameter, select Input engine temperature.

HC

EO HC map, f_hc — 2D lookup table

M-by-N matrix

The engine-out hydrocarbon emissions are a function of commanded engine torque and engine speed, EO HC = ƒ(T_cmd, N), where:

• EO HC is engine-out hydrocarbon emissions, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

Dependencies

To enable this parameter, clear Input engine temperature.

Plot EO HC map — Plot table

button

Click to plot table.

Dependencies

To enable this parameter, clear Input engine temperature.

EO HC map, f_hc_3d — 3D lookup table

M-by-N-by-L array

The engine-out hydrocarbon emissions are a function of commanded engine torque, engine speed, and engine temperature, EO HC = ƒ(T_cmd, N, Temp_Eng), where:

• EO HC is engine-out hydrocarbon emissions, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

• Temp_Eng is engine temperature, in K.

Dependencies

To enable this parameter, select Input engine temperature.

CO

EO CO map, f_co — 2D lookup table

M-by-N matrix

The engine-out carbon monoxide emissions are a function of commanded engine torque and engine speed, EO CO = ƒ(T_cmd, N), where:

• EO CO is engine-out carbon monoxide emissions, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

Dependencies

To enable this parameter, clear Input engine temperature.

Plot EO CO map — Plot table

button

Click to plot table.

Dependencies

To enable this parameter, clear Input engine temperature.

EO HC map, f_hc_3d — 3D lookup table

M-by-N-by-L array

The engine-out hydrocarbon emissions are a function of commanded engine torque, engine speed, and engine temperature, EO HC = ƒ(T_cmd, N, Temp_Eng), where:

• EO HC is engine-out hydrocarbon emissions, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

• Temp_Eng is engine temperature, in K.

Dependencies

To enable this parameter, select Input engine temperature.

NOx

EO NOx map, f_nox — 2D lookup table

M-by-N matrix

The engine-out nitric oxide and nitrogen dioxide emissions are a function of commanded engine torque and engine speed, EO NOx = ƒ(T_cmd, N), where:

• EO NOx is engine-out nitric oxide and nitrogen dioxide emissions, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

Dependencies

To enable this parameter, clear Input engine temperature.

Plot EO NOx map — Plot table

button

Click to plot table.

Dependencies

To enable this parameter, clear Input engine temperature.

EO NOx map, f_nox_3d — 3D lookup table

M-by-N-by-L array

The engine-out nitric oxide and nitrogen dioxide emissions are a function of commanded engine torque, engine speed, and engine temperature, EO NOx = ƒ(T_cmd, N, Temp_Eng), where:

• EO NOx is engine-out nitric oxide and nitrogen dioxide emissions, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

• Temp_Eng is engine temperature, in K.

Dependencies

To enable this parameter, select Input engine temperature.

CO2

EO CO2 map, f_co2 — 2D lookup table

M-by-N matrix

The engine-out carbon dioxide emissions are a function of commanded engine torque and engine speed, EO CO2 = ƒ(T_cmd, N), where:

• EO CO2 is engine-out carbon dioxide emissions, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

Dependencies

To enable this parameter, clear Input engine temperature.

Plot CO2 map — Plot table

button

Click to plot table.

Dependencies

To enable this parameter, clear Input engine temperature.

EO CO2 map, f_co2_3d — 3D lookup table

M-by-N-by-L array

The engine-out carbon dioxide emissions are a function of commanded engine torque, engine speed, and engine temperature, EO CO2 = ƒ(T_cmd, N, Temp_Eng), where:

• EO CO2 is engine-out carbon dioxide emissions, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

• Temp_Eng is engine temperature, in K.

Dependencies

To enable this parameter, select Input engine temperature.

PM

EO PM map, f_pm — 2D lookup table

M-by-N matrix

The engine-out particulate matter emissions are a function of commanded engine torque and engine speed, where:

• EO PM is engine-out PM emissions, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

Dependencies

To enable this parameter, clear Input engine temperature.

Plot EO PM map — Plot table

button

Click to plot table.

Dependencies

To enable this parameter, clear Input engine temperature.

EO PM map, f_pm_3d — 3D lookup table

M-by-N-by-L array

The engine-out particulate matter emissions are a function of commanded engine torque, engine speed, and engine temperature, where:

• EO PM is engine-out PM emissions, in kg/s.

• T_cmd is commanded engine torque, in N·m.

• N is engine speed, in rpm.

• Temp_Eng is engine temperature, in K.

Dependencies

To enable this parameter, select Input engine temperature.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2017a