Spark Ignition Engine

Naturally aspirated spark ignition engine

Since R2022a

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Libraries:
Simscape / Driveline / Engines & Motors

Description

The Spark Ignition Engine block represents a naturally aspirated, spark-ignited internal combustion engine. The engine can be an arbitrary configuration of one to four cylinders. This block is a composite block that uses a subcomponent implementation of these blocks:

• The SI Combustion Cylinder block represents an individual spark ignited combustion cylinder. The Spark Ignition Engine block controls how many SI Combustion Cylinder blocks it uses in the subcomponent implementation based on the value of the Number of cylinders parameter.

• The Ignition Trigger block controls the igniter timing for the SI Combustion Cylinder blocks.

• The Air Intake block provides the intake manifold pressure to the SI Combustion Cylinder block. To enable the air intake implementation, set Compute air intake dynamics to On.

• The Crank Shaft block connects to each SI Combustion Cylinder block to report the crank-angle-resolved instantaneous torque.

• The Exhaust Manifold Thermal block abstracts the thermodynamics of the exhaust manifold and reports the temperature of the exhaust manifold. To compute the exhaust manifold thermal effects, set Compute exhaust manifold temperature to On.

Many of the Spark Ignition Engine parameters are identical to the parameters in the subcomponent blocks, and when the block implements subcomponent blocks, it uses the equations from those blocks. You can learn more about how the Spark Ignition Engine block uses each parameter by visiting the reference pages for the subcomponent blocks. You can use this block to learn how to create your own implementations of the subcomponent blocks by viewing the source code.

Equations

The block derives performance information about the engine components using their respective relationship with the crank position, θ, where 0 degrees ≤ θ < 720 degrees. The block defines the crank starting position as the intake stroke at top dead center. For a four-stroke engine, each cylinder is uniquely affiliated with a crank position, where the crank position for a given cylinder i is θ_i. The block derives the angular velocity from θ as

$$\omega =\frac{d}{dx}\theta .$$

The block sets the first cylinder θ₁ = θ regardless of how many cylinders you simulate. When you set Number of cylinders to Two cylinders, the block calculates θ₂ as

$${\theta }_2={\theta }_1+\Delta ,$$

where Δ is the Spark angle difference parameter.

When you set Number of cylinders to Three cylinders, the block assumes that the cylinders are evenly phased such that

$$\begin{array}{l}{\theta }_2={\theta }_1+\left(1\cdot \frac{720°}{3}\right)\\ {\theta }_3={\theta }_1+\left(2\cdot \frac{720°}{3}\right)\end{array}$$

When you set Number of cylinders to Four cylinders, the block assumes that the spark angle difference is 180 degrees. You can select the firing order using the Firing order parameter.

Assumptions and Limitations

• The block ignores knocking and other combustion instabilities.

• The block ignores internal and external exhaust gas recirculation.

Examples

Single Cylinder Spark Ignition Engine

A crank-angle-resolved, naturally aspirated, spark ignited single cylinder engine. This example varies control inputs including the spark angle and the intake VVT during the simulation.

Open Model

Ports

Inputs

IgSw — Ignitor switch, binary

physical signal

Physical signal output associated with the ignitor, where 0 turns off the ignitor and 1 turns on the ignitor.

Dependencies

To enable this port, set Spark input type to Fixed or Spark angle.

Pim — Intake manifold pressure input, kPa

physical signal

Physical signal input associated with the intake manifold, in kPa. When you set Compute air intake dynamics to Off, you supply the intake manifold pressure using this port. You can use this port as an alternative to providing the throttle command to port Thr.

Dependencies

To enable this port, set Compute air intake dynamics to Off.

Thr — Throttle command input, unitless

physical signal

Physical signal input associated with the normalized throttle command, where 0 represents a fully closed throttle, and 1 represents a fully open throttle. The block maps this input to a throttle-open angle between 0 and 90 degrees.

Dependencies

To enable this port, set Compute air intake dynamics to On.

InVT — Intake Variable Valve Timing input, deg

physical signal

Physical signal input associated with the angle to shift the intake valve open and close timings, in degrees. Positive values advance the timing and negative values delay the timing.

Dependencies

To enable this port, set Intake Variable Valve Timing to On.

ExVT — Exhaust Variable Valve Timing input, deg

physical signal

Physical signal input associated with angle to shift the exhaust valve open and close timings, in degrees. Negative values advance the timing and positive values delay the timing.

Dependencies

To enable this port, set Exhaust Variable Valve Timing to On.

AfrCmd — Air-fuel ratio command input, unitless

physical signal

Physical signal input associated with the unitless air-fuel ratio command. Note that this is different from the stoichiometric air-fuel ratio for gasoline, which the block fixes at 14.6.

Dependencies

To enable this port, set Input air-fuel ratio to On and Input injector pulse width to Off.

InjPw — Injector pulse width input, ms

physical signal

Physical signal input associated with the duration during which the injector is open to inject fuel, in ms. The block multiplies this signal by the value of the Injector slope parameter to calculate the amount of fuel that the injector releases during one pulse.

Dependencies

To enable this port, set Input air-fuel ratio to On and Input injector pulse width to On.

SA — Spark angle input, deg

physical signal

Physical signal input associated with the spark angle before top dead center, in deg.

Dependencies

To enable this port, set Spark input type to Spark angle.

IgTrig — Ignition trigger input, unitless

physical signal

Physical signal input associated with the ignition trigger. The block treats a rise from 0 to 1 as a trigger. The input must return to 0 before the block accepts another trigger.

Dependencies

To enable this port, set Spark input type to Spark trigger event.

Pback — Exhaust back pressure input, kPa

physical signal

Physical signal input associated with the exhaust back pressure, in kPa.

Dependencies

To enable this port, set Input back pressure to On.

Outputs

AvrTrq — Cycle-average net indicated torque output, N*m

physical signal

Physical signal output associated with the cycle-average net indicated torque in Nm.

Dependencies

To enable this port, set Cycle-average net indicated torque to On.

AvrSpd — Cycle-average speed output, rad/s

physical signal

Physical signal output associated with the cycle-average speed output, in rad/s.

Dependencies

To enable this port, set Cycle-average speed to On.

Pim — Intake manifold pressure output, kPa

physical signal

Physical signal output associated with the intake manifold pressure, in kPa.

Dependencies

To enable this port, set Intake manifold pressure to On.

crkpos — Crank position output, deg

physical signal

Physical signal output associated with the crank position, in degrees.

Dependencies

To enable this port, set Crank position to On.

AirMassFlow — Cylinder air mass flow output, g/s

physical signal

Physical signal output associated with the air mass flow, in g/s.

Dependencies

To enable this port, set Cylinder air mass flow to On.

FuelMassFlow — Cylinder fuel mass flow output, g/s

physical signal

Physical signal output associated with the fuel mass flow, in g/s.

Dependencies

To enable this port, set Cylinder fuel mass flow to On.

AFR — Air-fuel ratio output, unitless

physical signal

Physical signal output associated with the unitless air-fuel ratio response that the block attains during operation. Note that this is different from the stoichiometric air-fuel ratio for gasoline, which the block fixes at 14.6.

Dependencies

To enable this port, set Air-fuel ratio to On.

Vcyl — Cylinder volume output, cm^3

physical signal

Physical signal output associated with the cylinder volume, in cm³.

Dependencies

To enable this port, set Cylinder volume to On.

Pcyl — Cylinder pressure output, MPa

physical signal

Physical signal output associated with the cylinder pressure, in MPa.

Dependencies

To enable this port, set Cylinder pressure to On.

Tcyl — Cylinder temperature output, K

physical signal

Physical signal output associated with the cylinder temperature, in K.

Dependencies

To enable this port, set Cylinder temperature to On.

Conserving

F — Crank shaft driveline connection

mechanical rotational

Mechanical rotational conserving port associated with the crankshaft connection to the driveline. Include friction and inertia here to simulate engine load or directly connect other driveline elements.

Parameters

Mechanical

Number of cylinders — Total cylinder count

Single Cylinder (default) | Two Cylinders | Three Cylinders | Four Cylinders

Number of spark ignition cylinders.

Spark angle difference — Two-cylinder engine spark angle phase

270 deg (default) | positive scalar

Spark angle difference for two-cylinder engines.

Dependencies

To enable this parameter, set Number of cylinders to Two Cylinders.

Firing order — Ignition order for four cylinder engines

1-3-4-2 (default) | 1-3-2-4

Firing order for four-cylinder engines. Firing order is engine specific, but your selection for this parameter will not affect the block performance. Controller development requires this information.

Dependencies

To enable this parameter, set Number of cylinders to Four Cylinders.

Bore — Cylinder diameter

72.5 mm (default) | positive scalar

Diameter of the piston cylinder.

Stroke — Piston travel distance

80.5 mm (default) | positive scalar

Distance the piston head travels within the cylinder.

Connecting-rod length — Length of connecting rod

141 mm (default) | positive scalar

Length of the piston connecting rod from hole center to hole center.

Compression ratio — Static compression ratio

11.0 (default) | positive scalar

Ratio of the maximum to minimum cylinder volume.

Ambient

Ambient pressure — Reference air pressure

101.325 kPa (default) | positive scalar

Pressure of the air entering the intake.

Ambient temperature — Reference temperature

298.15 K (default) | positive scalar

Temperature of the air entering the intake.

Ambient air density — Reference density

1.225 mg/cm^3 (default) | positive scalar

Density of the air entering the intake.

Specific gas constant of dry air — Specific gas constant of dry air

288.1965 J/(K*kg) (default) | positive scalar

Specific gas constant of dry air.

Air Intake

Compute air intake dynamics — Option to compute air intake dynamics

On (default) | Off

Whether to compute the air intake dynamics. Setting this parameter to On enables these parameters:

• Throttle response time constant

• Throttle rest angle

• Throttle plate diameter

• Throttle leakage area

• Intake manifold volume

Throttle response time constant — Throttle response time constant

0.1 s (default) | positive scalar

Time constant associated with the response rate of the engine to the throttle command.

Dependencies

To enable this parameter, set Compute air intake dynamics to On.

Throttle rest angle — Released throttle position

3 deg (default) | positive scalar

Radial distance from the resting throttle position to 0 degrees.

Dependencies

To enable this parameter, set Compute air intake dynamics to On.

Throttle plate diameter — Throttle plate diameter

5 cm (default) | positive scalar

Diameter of the butterfly valve disc in the throttle body.

Dependencies

To enable this parameter, set Compute air intake dynamics to On.

Throttle leakage area — Throttle leakage area

1 cm^2 (default) | nonnegative scalar

Cumulative area of the throttle leakage.

Dependencies

To enable this parameter, set Compute air intake dynamics to On.

Intake manifold volume — Intake manifold volume

1000 cm^3 (default) | positive scalar

Volumetric capacity of the intake manifold.

Dependencies

To enable this parameter, set Compute air intake dynamics to On.

Valves

Discharge coefficient for intake valve — Intake valve discharge coefficient

0.9 (default) | positive scalar

Ratio of actual discharge to ideal discharge for the intake valve.

Intake valve open before TDC — IVO crank position

15 deg (default) | scalar in the range [-360,360]

Crank position before top dead center at which the intake valve opens. Measure from top dead center to the crank position in the opposite direction of the crank rotation.

Intake valve close after BDC — IVC crank position

50 deg (default) | scalar in the range [-360,360]

Crank position after bottom dead center at which the intake valve closes. Measure from bottom dead center to the crank position in the same direction of the crank rotation.

Exhaust valve open before BDC — EVO crank position

55 deg (default) | scalar in the range [-360,360]

Crank position before bottom dead center at which the exhaust valve opens. Measure from bottom dead center to the crank position in the opposite direction of the crank rotation.

Exhaust valve close after TDC — EVC crank position

10 deg (default) | scalar in the range [-360,360]

Crank position after top dead center at which the exhaust valve closes. Measure from top dead center to the crank position in the same direction of the crank rotation.

Intake Variable Valve Timing — Intake variable valve timing option

On (default) | Off

Option to control the intake valve timing. Set this parameter to On to enable the InVT port.

Exhaust Variable Valve Timing — Exhaust variable valve timing option

On (default) | Off

Option to control the exhaust valve timing. Set this parameter to On to enable the ExVT port.

Fuel

Lower heating value for gasoline — Fuel net calorific value

44.3 MJ/kg (default) | positive scalar

Lower heating value for gasoline. This value is also known as the fuel net calorific value.

Input air-fuel ratio — Air-fuel ratio parameter option

On (default) | Off

Option to specify the air-fuel ratio by using the Air-fuel ratio parameter or the AfrCmd port.

Air-fuel ratio — Air-fuel ratio

14.6 (default) | positive scalar

Mixture ratio of air to fuel.

Dependencies

To enable this parameter, set Input air-fuel ratio to Off.

Input injector pulse width — Pulse width parameterization

On (default) | Off

Option to specify the injector pulse width.

Dependencies

To enable this parameter, set Input air-fuel ratio to On.

Injector slope — Injector slope

6.5 mg/ms (default) | positive scalar

Slope of the fuel injector mass flow rate.

Dependencies

To enable this parameter, set Input air-fuel ratio to On and Input injector pulse width to On.

Combustion

Spark input type — Spark input type

Fixed (default) | Spark angle | Spark trigger event

Whether to parameterize the spark input using a fixed value, spark angle, or spark trigger events.

Spark advance BTDC — Spark advance before top dead center

20 deg (default) | positive scalar

Spark advance before top dead center.

Combustion duration — Combustion duration

50 deg (default) | positive scalar

Duration of combustion as a portion of the crank shaft rotation.

Cylinder pressure slow decay time constant — Cylinder pressure slow decay rate

60 s (default) | positive scalar

Time constant for the cylinder pressure slow decay.

Cylinder temperature slow decay time constant — Cylinder temperature slow decay rate

600 s (default) | positive scalar

Time constant for the cylinder temperature slow decay.

Exhaust

Exhaust gas temperature decay time constant — Exhaust temperature decay rate

5 ms (default) | positive scalar

Time constant for the exhaust gas temperature decay.

Input back pressure — Back pressure input option

On (default) | Off

Option to input the back-pressure pressure constant and speed constant.

Back-pressure pressure constant — Pressure constant for back pressure

50 kPa (default) | positive scalar

Back-pressure pressure constant.

Dependencies

To enable this parameter, set Input back pressure to Off.

Back-pressure speed constant — Speed constant for back-pressure

6000 rpm (default) | positive scalar

Back-pressure speed constant.

Dependencies

To enable this parameter, set Input back pressure to Off.

Compute exhaust manifold temperature — Option to compute exhaust manifold temperature

On (default) | Off

Whether the block computes the exhaust manifold temperature. Setting this parameter to On enables these parameters:

• Surface area of exhaust wall

• Mass of exhaust wall

• Heat capacity of exhaust wall

• Time constant of exhaust heat flow

• Convective heat transfer coefficient for the outer side of exhaust

• Radiation constant

• Stefan-Boltzmann constant

Surface area of exhaust wall — Exhaust wall surface area

1 m^2 (default) | positive scalar

Surface area of the exhaust wall. This is only the surface area of the internal wall that makes contact with the exhaust.

Dependencies

To enable this parameter, set Compute exhaust manifold temperature to On.

Mass of exhaust wall — Exhaust wall total mass

5 kg (default)

Mass of the exhaust wall.

Dependencies

To enable this parameter, set Compute exhaust manifold temperature to On.

Heat capacity of exhaust wall — Exhaust wall heat capacity

100 J/(K*kg) (default) | positive scalar

Heat capacity of the exhaust wall.

Dependencies

To enable this parameter, set Compute exhaust manifold temperature to On.

Time constant of exhaust heat flow — Exhaust heat flow time constant

10 s (default) | positive scalar

Time constant for the rate of exhaust heat flow.

Dependencies

To enable this parameter, set Compute exhaust manifold temperature to On.

Convective heat transfer coefficient for the outer side of exhaust — Exhaust external convective heat transfer coefficient

100 W/(K*m^2) (default) | positive scalar

Convective heat transfer coefficient for the outer side of the exhaust.

Dependencies

To enable this parameter, set Compute exhaust manifold temperature to On.

Radiation constant — Exhaust radiation constant

0.3 (default) | positive scalar

Radiation constant of the exhaust.

Dependencies

To enable this parameter, set Compute exhaust manifold temperature to On.

Stefan-Boltzmann constant — Stefan-Boltzmann constant of exhaust

5.7e-8 W/(K^4*m^2) (default) | positive scalar

Stefan-Boltzmann constant for the total exhaust.

Dependencies

To enable this parameter, set Compute exhaust manifold temperature to On.

Simulation

Initial intake manifold pressure — Initial pressure inside intake manifold

101.325 kPa (default) | positive scalar

Intake manifold pressure at the start of the simulation.

Initial crank position (0-720 CAdeg) — Initial crank position

0 deg (default) | scalar in the range [0,720]

Crank position at the start of the simulation.

Initial engine speed — Initial engine speed

0 rpm (default) | nonnegative scalar

Rotational speed of the engine at the start of the simulation.

Engine speed simulation limit — Maximum engine speed

8500 rpm (default) | positive scalar

Maximum engine speed allowed during the simulation. If the block exceeds this value, it will generate an error and stop the simulation.

Output

Engine outlet gas energy flow — Option to output engine outlet gas energy flow

Off (default) | On

Whether to output engine outlet gas energy flow from physical signal port Weo.

Cylinder volume — Option to output the cylinder volume

On (default) | Off

Whether to output the cylinder volume from physical signal port Vcyl.

Cylinder pressure — Option to output cylinder pressure

On (default) | Off

Whether to output the cylinder pressure from physical signal port Pcyl.

Cylinder temperature — Option to output cylinder temperature

On (default) | Off

Whether to output the cylinder temperature from physical signal port Tcyl.

Air/fuel ratio — Option to output the air-to-fuel ratio

On (default) | Off

Whether to output the air-to-fuel ratio from physical signal port AFR.

Air mass flow — Option to output cylinder air mass flow

On (default) | Off

Whether to output the intake manifold pressure from physical signal port AirMassFlow.

Fuel mass flow — Option to output fuel mass flow

On (default) | Off

Whether to output the fuel mass flow from physical signal port FuelMassFlow.

Version History

Introduced in R2022a