2020-01-0552 Published 14 Apr 2020
Determination of Octane Index and K in a 2.0L,
4-Cylinder Turbocharged SI Engine Using the
Primary Reference Fuel (PRF) Method
Siddharth Gopujkar, Jeremy Worm, Joel Duncan, and William Hansley Michigan Technological University
Citation: Gopujkar, S., Worm, J., Duncan, J., and Hansley, W., “Determination of Octane Index and K in a 2.0L, 4-Cylinder Turbocharged
SI Engine Using the Primary Reference Fuel (PRF) Method,” SAE Technical Paper 2020-01-0552, 2020, doi:10.4271/2020-01-0552.
Abstract
R
esearch Octane Number (RON) and Motor Octane
Number (MON) have traditionally been used to
describe fuel anti-knock quality. Te test conditions
for MON are harsher than those for RON, causing the RON
for a particular fuel to be higher than the MON. Previous
researchers have proposed the anti-knock performance of a
fuel can be described at other operating conditions using the
Octane Index (OI), defned as OI=RON-K (RON-MON),
where ‘K’ is a weighing factor between RON and MON, and
is a function of engine operating condition. Te K-factor
indicates that at a particular operating condition, knock
tolerance is better described by RON as K approaches a value
of 0, and MON as K approaches a value of 1. Previous studies
claim that K-factor is dependent only on the engine
combustion system and the speed-load point, and that it is
independent of fuel chemistry. In most of these studies, K
was determined experimentally using linear regression. In
this particular study, K was determined using the PRF
method for two test fuels; EPA certi fcation tier 2 and tier 3
fuel. K was calculated for these fuels at multiple test points
and the results showed that the K was diferent for the two
fuels and thus it did depend on fuel chemistry. For a majority
of the test points, the fuel with the lower RON and MON
values (tier 3 cert fuel) had a lower K-factor as compared to
the tier 2 cert fuel. A parameter was developed to relate
engine speed, combustion phasing and cylinder trapped mass
to predict K-factor, independent of the fuel. Te correlation
of K with end gas conditions was also investigated as a part
of this project.
Introduction
K
nock is an abnormal combustion phenomenon that
occurs in a spark ignition (SI) engine. Te autoignition
of the end gas, which is the unburned fuel and air
mixture ahead of the advancing fame, leads to the sponta-
neous release of chemical energy which causes high pressure
oscillations inside the engine cylinder. Te sharp metallic
noise made by these oscillations is termed as ‘knock’ [1].
Knock is a hurdle to the betterment of SI engines. An engine
subject to knock for a long period can result in structural
damage to the engine [2]. Knock constrains a spark ignition
engine from performing at its peak efciency at certain points
in its speed-load map [3]. In such a case, the engine cannot
operate with the spark at Maximum Brake Torque (MBT).
Te spark has to be retarded to avoid knock, but in doing so,
the operating efciency of the engine is compromised. In such
a case, the engine is said to be knock limited [4]. Te spark
timing at which the engine is knock limited is known as the
knock limited spark advance (KLSA). Te KLSA for a partic-
ular engine at a particular operating point depends on the
knock mitigating or anti-knock property of the fuel.
Te anti-knock quality of fuels used in SI engines is char-
acterized by two octane numbers - Research Octane Number
(RON) and Motor Octane Number (MON). RON is deter-
mined by the ASTM procedure D2699-11 [5] while MON is
determined by the ASTM procedure D2700-11 [6]. Te proce-
dure involves running a Cooperative Fuel Research (CFR)
engine at highly controlled conditions, shown in Table 1. Te
operating conditions for the MON test are harsher as compared
to those of the RON test, thus the MON rating of a fuel tends
to be lower than its RON.
In the RON and MON tests, the knocking tendency of a
fuel at the test condition is compared with the knocking
tendency of primary reference fuels (PRFs) at the same condi-
tion. Te RON and MON of a fuel is assigned as the PRF
number that matches its knock tendency for the respective
test. PRFs are a binary mixture of the straight chain alkane
n-heptane and the branched chain alkane iso-octane [7]. Te
octane number of iso-octane is 100 by defnition, while that
TABLE 1 Test conditions for the RON and MON tests [5, 6]
Parameter RON test MON test
Engine Speed (RPM) 600 900
Intake Air Temperature (°C) 52 149
Spark Timing (° bTDC) 13 14-26
Coolant Temperature (°C) 100 100
Intake Air Pressure Atmospheric Atmospheric
Compression Ratio 4-18 4-18
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