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TORQUE CHAIN STRUCTURE
Regarding the control logic of an internal combustion engine, the torque chain is managed in a
way that the torque delivered is determined by the combination of two levers:
• Slow Path
• Fast Path
Torque is influenced by the amount of air because the air intake determines the amount of fuel
that can be burned, which in turn dictates the possible power output. In spark-ignited (SI)
engines, we aim for a lambda value close to one to ensure optimal combustion. By controlling
the spark advance (SA), we modify combustion efficiency. Therefore, we prefer to use air intake
control to regulate torque rather than adjusting the spark advance.
The slow path manages the amount of air entering the cylinder, which ultimately provides the
engine's power. In the fast path, we control the spark advance. While we prefer using the slow
path to maximize efficiency, there are instances where we must use the fast path.
The torque coordinator's main task is to answer the question: what torque output do we want
to deliver to the engine? Once this is determined, the system decides whether to use the fast or
slow path, based on the criteria mentioned earlier.
The driver is not the only source of external torque demand. Additional torque is needed to
ensure proper operation of various systems, such as catalyst converter heating or engine start-
up. These functions require more torque than the driver’s direct input to meet their operational
needs.
Finally, it is essential to understand how to convert the requested torque into control signals.
71
A change in the spark advance angle has an immediate effect on the torque delivered (its value
may also vary between two subsequent cycles).
In contrast, a change in the configuration of actuators controlling the quantity of air (such as
the throttle, wastegate valve, or variators) results in a slower torque change. This delay occurs
due to phenomena related to the filling and emptying dynamics of the intake manifold and
cylinders, causing the effect to manifest after several cycles.
At the same time, there is an optimal spark advance angle for each operating condition, which
delivers the maximum torque. This optimal point is known from the IMEP-MFB50 curve.
Deviating from this optimal angle reduces combustion efficiency, leading to increased fuel
consumption.
However, it is sometimes necessary to vary the spark advance angle under certain conditions
requiring instant torque adjustments. These situations include idle engine speed control,
catalyst heating, driveability filters, traction control interventions, knock control, and torque
modifications during gear shifts. AIR PATH
If no specific priorities are imposed (such as catalyst heating or fast torque correction), the
preferred method of delivering the requested torque is through the air path, as it is the most
efficient approach.
The process begins with the gas pedal input, which is interpreted as a torque request at the
wheels. This request is then translated into commands for the engine's air management system,
such as adjusting the throttle, wastegate, or other actuators controlling air intake. By
optimizing air intake dynamics, the engine achieves the desired torque with minimal losses and
maximum efficiency. 72
The gas pedal position is interpreted as a request of torque at the wheel [N/m] through a map
that depends on engine speed; at low speeds, pushing the pedal, a significant amount of torque
is wanted at the wheels while at high speeds it’s necessary to press more the pedal to have more
torque. The torque at the wheel is then a target to be achieved through the net torque requested
to the ICE, so by considering the gear ratio and the transmission efficiency. Basically now it’s
obtained a torque target at the ICE so that a certain torque at the wheel can be obtained. At
this point the mechanical efficiency in the ICE has to be considered obtaining an indicated
torque requested to the ICE and in the end also a combustion efficiency (dependent also on SA
and λ) in order to calculate the amount of air needed per cylinder per cycle, therefore to calculate
the actuation in terms of throttle and wastegate position.
How to decouple the throttle and waste gate position targets? We have cases:
1. If :
≤
,
1. (
= 100% )
2. =
ℎ ℎ,
2. If :
>
,
1. =
,
2. (
= 100% )
ℎ
And, how correct the target values in closed loop? We need a PID:
1. If :
≤
,
with (open loop only);
= 100%
73
2. If :
>
,
with (open loop only);
= 100%
ℎ
A change in the spark advance angle has an immediate effect on the torque delivered, and its
value may also vary between two subsequent cycles.
In contrast, adjusting the configuration of actuators controlling the quantity of air (such as the
throttle, wastegate valve, or variators) results in a slower change in torque. This delay occurs
due to factors related to volumetric efficiency, such as the dynamics of cylinder filling and
emptying.
Naturally, there is an optimal spark advance angle for each operating condition, which delivers
the maximum torque. This optimal point is derived from the IMEP-MFB50 curve. Deviating
from this optimal angle reduces combustion efficiency, leading to increased fuel consumption.
Despite this, reducing the spark advance is necessary in certain situations where instant torque
variation is required. These scenarios include maintaining a torque reserve (e.g., during
minimum revving speed control or catalyst heating), driveability filters (to accommodate
different driving map options), traction control interventions, knock control, and torque
adjustments (increases or decreases) during gear shifts.
74
IDLE SPEED CONTROL
It can be necessary to reduce the SA for example for knock limitations (only at high loads) or
for other reasons like engine warm up, cylinder or bank individual correction, calibratable offset
The data from a spark advance sweep test show the results in the figure. On the x-axis this
time there’s not the SA but the CA50 MFB, that has an optimal combustion phase for more or
less 8°CA50MFB, generally the optimal is for a CA50MFB between 8 ÷ 12◦ . Retarding the SA
and therefore the CA50MFB, it can be seen that the stability is reduced (retarded combustions
are less stable); indeed for the blue points that have all the same SA there is great variability
in torque production (IMEP).
The idle speed controller must be able to manage torque to maintain a stable speed condition.
Therefore, idle speed control needs the ability to generate sufficient torque to keep the engine
operating stably. When the engine approaches the instability threshold, it is essential to have
a "ready-to-use" positive torque to move away from that zone.
Idle speed control is not easy, indeed the ECU should calculate the amount of air to introduce
in the engine to achieve an indicated torque equal to the resistant torque inside the engine
because the driver is asking for 0 torque; idle means to keep constant engine speed as low as
possible while guaranteeing stable engine operation.
Having ω = const doesn’t mean that its value is constant, but that the speed is constant along
the cycle. At some point the driver can increase the torque due to friction and auxiliaries for
example by turning on the air conditioning, this brakes the equilibrium between the indicating
torque and the torque lost through auxiliaries and friction. If no action is taken, the engine
speed drops in a dead zone where the engine turns off.
75
In order to avoid this condition, it’s necessary to increase the indicating torque in a very fast
way but if the SA at idle is at its SAMBT then it’s not possible to react fast.
For this reason, at idle SAMBT is not applied but it’s chosen to be less efficient by lowering ∆SA
to guarantee a certain amount of torque reserve. The choice of how much retard the SA at idle
is obviously a compromise between the needs in terms of stability and the needs in terms of
CO2 emissions that a less efficient combustion generates.
If another load is attached to the crankshaft and the torque reserved was already used then the
engine would turn off; therefore it’s always necessary to restore the torque reserve, for example
by opening more the throttle position.
Since the response through the throttle ∆α is quite slow and the response through the spark
advance ∆SA is quite fast, it’s possible to model the control through two PID controller in which
for ∆α the integral component is the main part while for ∆SA the proportional component is the
most important. Obviously ∆SA can reduce the error but cannot set it to 0, while ∆α is slower
but can annul the error. 76
In-Cylinder Pressure Measurement
OVERVIEW
The information about the in-cylinder pressure is very important and would be good to have it
also on-board but up to now it’s not possible.
• The main reasons to measure this signal is to have a quantitative measurement of the
torque that the engine can potentially produce; the first important measurement that
can be extracted is then the indicated mean effective pressure IMEP (and indicated
torque): integral of the pressure over the volume, that is the work produced by the engine.
Obviously this is not the total work available because part of it is wasted to win friction
and drag auxiliaries.
• By measuring the indicated torque and the torque at the brake, it is possible to
calculate the mechanical efficiency.
• Starting from the pressure, it’s possible to analyse the heat release.
• Determination of combustion phasing and duration.
• Evaluation of combustion variability (pressure peak and its position, max pressure
gradient position, CoV IMEP).
• Knock intensity measurement (and control).
• Fault diagnosis (misfire, leaks, anomalous friction, . . . ).
• Pressure peak measurement
MEASUREMENT SYSTEMS
Initially, cylinder pressure measurement was performed using Watt's indicator, a mechanical
device consisting of a small piston connected to a spring. The piston’s movement, caused by
pressure changes in the chamber, was recorded by a pen on a rotating drum. However, this
system had significant limitations, including inertia, friction, inability to accur