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Knock Rating of Gaseous Fuels in a Single Cylinder Spark Ignition Engine

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Page 1: Knock Rating of Gaseous Fuels in a Single Cylinder Spark Ignition Engine

Knock rating of gaseous fuels in a single cylinder spark ignition engine

C. Rahmounia, G. Brecqb, M. Tazeroutb, O. Le Correb,*

aCreeD, 291 Avenue Dreyfous Ducas, 78520 Limay, FrancebEcole des Mines de Nantes, Department of Energy and Environment System, 4 Rue A. Kastler, BP 20722, 44307 Nantes Cedex 3, France

Received 25 February 2003; revised 7 July 2003; accepted 7 July 2003; available online 6 August 2003

Abstract

This paper presents the determination of knock rating of gaseous fuels in a single cylinder engine. The first part of the work deals with an

application of a standard method for the knock rating of gaseous fuels. The Service Methane Number (SMN) is compared with the standard

Methane Number (MN) calculated from the standard AVL software METHANE (which corresponds to the MN measured on a Cooperative

Fuel Research engine). Then, in the second part, the ‘mechanical’ resistance to knock of our engine is highlighted by means of the Methane

Number Requirement (MNR). A single cylinder LISTER PETTER engine was modified to run as a spark ignition engine with a fixed

compression ratio and an adjustable spark advance. Effects of engine settings on the MNR are deduced from experimental data and compared

extensively with previous studies. Using the above, it is then possible to adapt the engine settings for optimal knock control and

performances. The error on the SMN and MNR stands beneath ^2 MN units over the gases and engine settings considered.

q 2004 Elsevier Ltd. All rights reserved.

Keywords: Knock rating of gaseous fuels; Service methane number; Methane number requirement

1. Introduction

The composition of natural gas depends on the feed stock

location [1]. For instance, the methane concentration in

natural gas supplied in Europe ranges from about 80 to 98%

[2]. When natural gas is used to run an internal combustion

engine, these variations can induce knock occurrence and

lead to increasing emissions and decreasing engine

efficiency. Knock is due to auto-ignition of the end-gas

ahead of the propagating flame. When this auto-ignition

takes place in the cylinder, the chemical energy contained in

the end gas is released very rapidly. Beyond a certain burn

rate, it causes the propagation of shock waves across the

combustion chamber that is then forced to resonate at its

natural frequencies. This can lead to high frequency shock

waves hitting the cylinder walls and causing irreversible

damages.

The indicator generally used to characterise changing

composition is the methane number (MN). It is similar to the

octane number (ON) used for liquid fuels. MN characterises

the tendency to knock of gaseous fuels measured on a

Cooperative Fuel Research engine (CFR engine) [3–5].

Methane, which is the least detonating hydrocarbon, has a

conventional MN of 100. At the opposite scale, hydrogen,

which is the most detonating gas [6], has a conventional MN

of 0. It is however possible to get a MN over 100 for gases

mainly composed of methane and inert compounds like

nitrogen and carbon dioxide (biogas for instance) [3].

Shrestha and Karim [7] and Brecq et al. [8] have

investigated the effect of inert gases on the knock rating

of gaseous.

Combined heat and power (CHP) engines run at knock

limit for optimal efficiency and environmental perform-

ances in order to reduce the pay-back period [9]. Because of

environmental and economical concerns, engines are set

with high compression ratios. Consequently, optimal

operating conditions are generally very close to those of

knock occurrence.

Human ear was for a long time the unique mean of knock

detection. This method is still taken as a reference in recent

works carried out by Kalghatgi in 1996 [10]. ON was

frequently determined using this specific ‘knock detection’

[11]. But, because of subjectivity (human ear is incapable of

measuring knock intensity), it was necessary to define a

knock indicator capable of characterising its intensity and

determining its threshold in a reliable and reproducible

manner.

0016-2361/$ - see front matter q 2004 Elsevier Ltd. All rights reserved.

doi:10.1016/S0016-2361(03)00245-X

Fuel 83 (2004) 327–336

www.fuelfirst.com

* Corresponding author. Tel.: þ33-2-518-58257; fax: þ33-2-518-58299.

E-mail address: [email protected] (O. Le Corre).

Page 2: Knock Rating of Gaseous Fuels in a Single Cylinder Spark Ignition Engine

Several knock detection methods exists in both industry

and research [12]:

† Wall losses. When knock occurs, wall losses are clearly

more important. Syrimis and Assanis [13,14] are the

main authors whose work deals with the link between

heat transfer and knock. Trapy also provides lots of

results in this field [15].

† Ion current. Along with the propagating flame (presence

of ions), to the spark plug neighbourhood, the electrical

conductivity changes and so far the current intensity.

There is a correlation between the ion current intensity

and the value of the cylinder pressure [16,17]. Therefore,

the high frequencies contained in the ion current signal

can be used to detect knock [18–21]. That technique is

however not yet reliable because of a high noise level.

† Engine vibrations. By means of an accelerometer fixed

onto the outer surface of the engine cylinder head. The

high noise level is the main drawback of this technique

[12,22], especially for high speed running engines.

† Cylinder pressure. That old technology, found in

previous works [23], is based on the fact that cylinder

pressure is directly linked to knock via shock waves.

Because this technique is based on the real nature of

knock, it is much more reliable than the one using engine

vibrations. Many authors advise it [12,24,25]. However,

these sensors are very expensive and not adapted for

industrial purpose. It mainly remains a research tool.

The two first techniques are not commonly used. The

first one is still a principle and the second is efficient and

interesting but is still known as an emerging technology.

The last two techniques are much more used: acceler-

ometer technique is mainly employed in industrial engines

because of a cost-effective sensor. The cylinder pressure

measure is mainly employed in research fields because of

the quality of the results and the high cost of pressure

probes. Advantages and drawbacks of each technique are

presented in Ref. [26].

Most of knock indicators that can be used to quantify

knock strength (that is knock intensity) are based on

cylinder pressure measurement:

† Direct evaluation from cylinder pressure (peak pressure

analysis, for instance) [3,27–29];

† Filtered pressure analysis (MAPO,IMPO,…) [4–6,12,

29–34,38–45,54];

† Pressure derivatives analysis [29,35–37].

There are numerous existing means to determine knock

limit in spark ignition engines. These means result from

three different choices: the choice of probes, the choice of

knock indicators and the choice of analytical methods to be

employed. Thus, the definition of knock limit is a relative

notion because it depends on these three choices. There are

different couples ‘indicator-method’ according to many

authors to define knock limit in SI engines. The synthesis of

these different indicators with the corresponding methods is

given in Table 1.

IMPO and MAPO. There are two knock indicators, based

on a high frequency analysis of cylinder pressure data,

commonly used in the literature. The first one is the integral

of modulus of pressure oscillations (IMPO), representing

the energy contained in the high frequency oscillations of

the cylinder pressure signal (including noise). The second

one is the maximum amplitude of pressure oscillations

(MAPO), related to the peak of the pressure oscillations due

to knock.

IMPO and MAPO are obtained for N consecutive cycles

and are expressed by the following relations:

MAPO ¼1

N

XN1

maxui ;uiþW

l~pl ð1Þ

IMPO ¼1

N

XN1

ðuiþW

ui

l~pldu ð2Þ

Nomenclature

IMPO integral of modulus of pressure oscillations,

bar.CA

MAPO maximum amplitude of pressure oscillations, bar

KLCR knock limited compression, –

KLER knock limited equivalence ratio, –

KLEP knock limited exhaust pressure, Pa

KLIP knock limited intake pressure, Pa

KLIT knock limited intake temperature, K

KLSA knock limited spark advance, 8CA

KLST knock limited spark timing, 8CA

KLVE knock limited volumetric efficiency, %

SA spark advance, CA

ST spark timing, CA

MN methane number, –

SMN service methane number, –

MNR methane number requirement, –

T temperature, K

PKC percentage of knocking cycles, %

KC knocking cycles

Greek symbols

D variation, –

f equivalence ratio, bar

hv volumetric efficiency, –

C. Rahmouni et al. / Fuel 83 (2004) 327–336328

Page 3: Knock Rating of Gaseous Fuels in a Single Cylinder Spark Ignition Engine

N represents the number of computed cycles, ui the crank

angle corresponding to the beginning of the window of

calculation, W the value of the window of calculation and ~p

the filtered in-cylinder pressure.

Percentage of knocking cycle (PKC). A general method,

based on a statistical analysis of the in-cylinder peak

pressure (PP) and angle of peak pressure (APP) during

combustion was presented in Ref. [26]. Studies of Brecq

et al. [26,55] showed that over a great number of cycles

(about 400 cycles), two separated groups of cycles can be

distinguished: group A of non-knocking cycles and group B

of knocking cycles (Fig. 1). In this paper, an analysis, first

outlined in Ref. [26], concerning the evolution of the PKC

with spark advance showed that a threshold of knocking

cycles fixed at 50% gives a knock limit close to that given

by standard knock indices (Figs. 2 and 3). This indicator was

then used in all the experiments carried out because of its

versatility and its accuracy.

Indicators for knock rating of gaseous fuels. An

adaptation of engine settings to changing gas composition

is then necessary in order to ensure a safe running of the

engine. Schiffgens et al. [46] have already used a sensor to

adapt the engine to variable composition by means of a

measure of MN.

MN is directly linked to knock in SI engines. Numerous

authors [3,4–6,28,33,47–50] have observed interconnec-

tions between knock limited engine parameters and engine

settings on the one hand, and between knock limited engine

Table 1

Knock detection methods

Knock indices

Method Raw pressure Filtered pressure Pressure derivative

Constant threshold

method

Checkel and Dale [27],

Russ [28], Chun and

Kim [29]

Millo and Ferraro [12], Thomas et al. [30],

Dubel et al. [31], Chun and Kim [29],

Lee et al. [32], Westin et al. [33],

Attar and Karim [6],a Brunt et al. [34],

Brecq et al. [44], Worret et al. [45]

Checkel and Dale [35], Ando et al. [36],

Dhall and Beans [37], Chun and Kim [29]

Updated threshold

method

Ortmann et al. [38],a Schmillen and

Rechs [22], Ryan et al. [4],a Lee et al. [32],

Callahan et al. [5],a Ferraro et al. [39]

Trend-intersection

method

Checkel and Dale [27] Najt [40], Ho and Kuo [41], Dubel et al. [31],

Abu Qudais [42],a Goto and Itoh [43]a

a Indicators not given explicitly.

Fig. 2. Evolution of the % of knocking cycles versus spark advance (SA).

Fig. 1. Knocking-cycle distinction by PP analysis. Fig. 3. Value of PKC to determine the onset of knock.

C. Rahmouni et al. / Fuel 83 (2004) 327–336 329

Page 4: Knock Rating of Gaseous Fuels in a Single Cylinder Spark Ignition Engine

Table 2

Effect of þ10 MN units variation on critical engine parameters

Leiker [3] Douaud [51] Ryan [4] Schiffgens [46] Ho [49] Russ [28] Faure [50] Attar [6] Westin [33]

KLST þ1 to þ38CA þ4 to þ58CA þ3 to þ68CAa þ48CA þ68CA þ2 to þ38CAb

KLCR þ0.5 to 0.8 þ0.9 þ0.7 þ0.6b þ1.2 þ0.6

KLIT þ10 to þ14 8C þ40 to þ130 8C þ20 to þ25 8Cb þ40 8C þ40 8C

KLCT þ150 to þ210 8C þ48 to þ60 8C

KLIP þ13 to þ16 kPa þ15 to þ20 kPa

KLEP þ180 kPa þ110 to þ180 kPa

KLER ^0.17c ^0.15c

Speed 240%

Operating conditions according to authors

Engine CFR – CFR FEVa Cat. G3505 FEV CFR CFR Mitsubishia

Fuel Natural gas Gasoline Natural gas Natural gas Gasoline Gasoline Gasoline Binary gases Gasoline

No of cylinder 1 4 1 1 – 1 1 1 4

Displacement (cm3) 677 1289 677 <2000 4300 676 677 677 572

Compression ratio – 9.5 11–15 9.4–13 8–11 9.1–12.5 – 8.5–11 8.95

Speed (rpm) 375 3000 900 1500 1400 1500 – 900 3500

Spark timing – – 158CA 5 to 308CA – 1 to 118CA 128CA 158CA –

Equivalence ratio 1.0 1.2 1.0 1.0 < 0.6 and 0.8 1.17 1.1 0.8 and 1.0 < 1

Intake temperature (K) 298 <300 294 313 and 353 330 < 300 313 and 353 300 313

a Valid for 40 , MN (turbocharged engines).b Valid for 40 , MN , 80.c Sign ‘ þ ’ in lean mixtures and sign ‘ 2 ’ in rich mixtures.

C.

Ra

hm

ou

ni

eta

l./

Fu

el8

3(2

00

4)

32

7–

33

63

30

Page 5: Knock Rating of Gaseous Fuels in a Single Cylinder Spark Ignition Engine

parameters and knock rating indicators (MN, ON) on the

other hand. Among them, Russ [28] managed to find

relations between knock limited parameters of the engine,

via a variation of ON. Douaud [51] has also given

prominence to numerous dependencies between knock

limited parameters and ON. Leiker et al. [3] have linked

some knock limited parameters to a variation of þ10 MN

units. The effect of a variation of þ10 MN units on the

different knock limited parameters has been performed

(Table 2). As many authors have used ON instead of MN, a

conversion between these two indicators has been applied so

that comparisons can then be possible. By adding lead

tetraethyl to iso-octane, it is possible to estimate the ON of

gaseous fuels up to 120.3 ON units [52]. This method has

been applied by Kubesh et al. [52] in order to measure ON

of gaseous fuels. They also obtained a ON value for pure

methane of about 140. Besides, Daverat [53] and Dimpel-

feld and Foster [47] have as well measured ON of heavy

hydrocarbons like ethane, propane and n-butane. Thus,

using the composition tested by Kubesh [52], Daverat [53]

and Dimpelfeld [47] and the software developed by AVL for

the calculation of MN from composition, a relation between

ON and MN can be established (Fig. 4). The link between

the work carried out on liquid fuels and those carried out on

gaseous fuels is realised by the connecting relation between

MN and ON (þ5.7 ON units corresponds to þ10 MN

units).

Globally, there is a good agreement of the results,

summed up in Table 2, among the different authors.

The most important differences between authors result

from the KLIT (knock limited intake temperature).

However, the study of the impact of the KLIT on the

KLST results in the identification of the following trends:

† Russ [28], 27 K/8CA

† Faure [50], 27 K/8CA

† Leiker [3], 26 K/8CA1

† Schiffgens [46], 210 to 25 K/8CA

† Douaud [51], 214 K/8CA2

The differences observed in Table 2 result from the mean

of calculation, based on the KLST variation of Russ [28]

which is relatively important (þ5.7 ON units corresponds to

þ10 MN units).

The aim of this work is to define a knock indicator in a

single cylinder spark ignition engine, taking into account

gas composition and engine tunings. Two main points have

been tackled in this study:

† Capability of the MN to characterise the tendency to

knock of gaseous fuels, from different critical parameters

(equivalence ratio, volumetric efficiency, spark

advance);

† Measurement of the methane number requirement

(MNR) of the engine from different engine para-

meters (equivalence ratio, volumetric efficiency,

spark advance) and comparison with the results of

Table 2.

The influence of temperature on knock limited spark

advance is also presented in order to outline the temperature

dependence of all the results.

2. Material and methods

Test bench. The test bench is composed of a naturally

aspirated single-cylinder SI gas engine of Lister-Petter

make. Table 3 gives the main characteristics of this

engine. The engine is connected to an electrical generator,

which maintained the speed at 1500 rev/min (to generate

50 Hz electrical power). Engine and main measurements

are presented in Fig. 5. The engine is based on a DI

Diesel engine, with bowl chamber and flat-faced cylinder

head. It is adapted to SI operation by reducing its

compression ratio and by connecting a spark plug in the

injector location. The data acquisition system of cylinder

pressure is composed of

† Sensor AVL QH32D, gain 25.28 pC/bar, range

0–200 bar;

† Piezo amplifier AVL 3066A0, gain 400 pC/V with no

pressure reference;

† Piezo resistive pressure sensor fixed inside the inlet

manifold, range 0–2.5 bar.

The acquisition frequency of the in-cylinder pressure is

90 kHz. It corresponds to a resolution of 0.1 CA.

Fig. 4. Relation between IM and IO for gas mixtures [52] and pure gases

[47,53].

1 Average value calculated from the effect of the variation of MN on

KLST and KLIT.2 Average value calculated from the mean effect of the variation of

þ18CA of spark advance on ON.

C. Rahmouni et al. / Fuel 83 (2004) 327–336 331

Page 6: Knock Rating of Gaseous Fuels in a Single Cylinder Spark Ignition Engine

Exhaust gases are analysed by a COSMA Cristal 500

analyser. Experiments were carried out with synthesised

natural gas fuel. A matrix of nine pure gases (CH4, C2H6,

C3H8, C4H10, CO2, N2, O2, H2, CO) simulates various

natural gas compositions accounting for the main constitu-

ents of natural gas encountered in stationary applications.

The gas composition was determined from the mass flow

rates and checked by gas chromatography.

Knock rating of gaseous fuels is determined by varying

the engine spark advance unlike Leiker [3] who used the

compression ratio. Authors have made this choice because

spark advance is the main adjustable parameter in stationary

gas engine.

Determination of knock limited spark advance (KLSA).

The knock limit is determined by increasing gradually the

SA until the occurrence of knock (Fig. 2), materialized by

oscillations of the in-cylinder pressure. The other engine

parameters (equivalence ratio and volumetric efficiency)

must remain constant during this operation. The knock limit,

corresponding to the onset of pressure oscillations in the

cylinder, is set using the PKC [3,6]. The threshold of knock

was fixed at 50% of knocking cycles (Fig. 3). We can notice

that the threshold of knock, fixed at 50% PKC, gives a

knock limit close to that obtained by the MAPO analysis

(Fig. 2).

3. Results and discussion

Experiments were divided into two distinct stages: First,

a matrix of different gas composition was established [54].

The service methane number (SMN) [3] of these gases is

measured. The relation between the SMN and the standard

MN calculated by the METHANE software developed by

AVL is performed. Finally, various specified operating

conditions were tested to calculate the MNR of the engine.

This allows us to obtain the variation of the MNR from

engine parameters. The methodologies for the determi-

nation of the SMN and the MNR are also described in Ref.

[54]. Table 4 gives the values of the engine parameters

considered. The fuel used is the synthesised Abu Dhabi gas,

whose composition is 82% of methane, 16% of ethane and

2% of propane. The MN of this gas is 69.1 (AVL).

Measurement of the SMN using spark advance as critical

parameter. The measurement of the SMN, for different

gaseous fuels, is based on a test gas matrix suggested by the

work carried out by Klimstra [5]. This database includes 21

gases of different compositions (binary, ternary gases or

more) [54]. Technical limitations on the mass flow rates

leaded in a limited range of pure gases as given in Ref. [54].

Despite these limitations, a large range of SMN has been

covered, from 70 to 110. Results are given in Fig. 6. A

comparison between the SMN, determined with spark

advance as critical parameter, and the standard MN,

determined in a CFR engine with compression ratio as

critical parameter, is made (Fig. 6). The link between knock

Fig. 5. Test rig and main sensor locations.

Table 3

Engine technical features

Type Spark ignition

Bore 95.3 mm

Stroke 88.9 mm

Displacement 633 cm3

Compression ratio 12.37:1

Cooling system Forced air circulation

No. of cylinders One

Table 4

Operating conditions for the first stage

T 288, 293, 298 and 310 K

f 0.7, 0.8 and 0.9

hv 60 and 70%

Fig. 6. KLSA versus SMN and standard MN (AVL) for the 21 gases of the

test matrix.

C. Rahmouni et al. / Fuel 83 (2004) 327–336332

Page 7: Knock Rating of Gaseous Fuels in a Single Cylinder Spark Ignition Engine

in engines and knock resistance of fuels is here highlighted.

We can thus notice that SMN, as well as MN, is a good

indicator for knock resistance of gaseous fuels (reflected by

KLSA), whatever the engine used as reference.

Measurement of the SMN using equivalence ratio and

volumetric efficiency as critical parameters. SMN can also

be determined by varying the equivalence ratio or the

volumetric efficiency (other parameters remaining constant)

using the same methodology as for the spark advance. From

Table 5, the SMN is determined for different critical

parameters. Thus, let us consider a gas of given compo-

sition. For an equivalence ratio of 0.8 and a volumetric

efficiency of 70%, the KLSA is 18.88CA and for a

volumetric efficiency of 70% and a spark advance of

158CA, the KLER is 0.86. Whatever critical parameter

chosen, the SMN remains 83. These results ascertain the

standard methodology used to determine knock rating of

gaseous fuels and show that the critical parameters chosen

have no effects on the measured SMN. As a consequence,

the work carried out on knock rating of gaseous fuels by

Leiker et al. [3] (KLCR) and Attar and Karim [6] (KLSA

and KLCR) should give similar results. Besides, the

determination of SMN is independent of the engine settings

considered.

Measurement of the MNR. By definition, at knock limit,

the MNR is equal to the SMN of the consumed gas. Each

engine tuning is associated with a MNR. For its determi-

nation, the engine is supplied with a reference blend of

methane and hydrogen. At each engine setting, the

volumetric percentage of hydrogen is modified so as to

reach the knock limit, corresponding to 50% of knocking

cycles. The MNR then corresponds to the volumetric

percentage of methane in the reference blend.

An experimental plan was established in order to

determine the effect of each engine parameter on the

MNR. Two levels of variation are fixed. The mean effect of

each engine parameter was calculated to determine the

influent factors on the MNR. The plan quantifies the main

effects and their interactions on the MNR, which then results

in a regression model capable of taking into account MNR

variation. The levels of variation and the range of validation

of the engine settings considered are given in Table 6. We

are looking for a relation between the engine parameters and

the gas composition in order to define a global index to run

the engine at knock limit.

Predictive model of the MNR. The mean effect of each

engine parameter is obtained thanks to an experimental plan

[56]. Table 7 gives the mean effect of each engine

parameters and its interactions.

By arbitrarily fixing a significant threshold of 1 point for

the MNR, we noticed that the mean effect of each parameter

taken alone is more significant than the effect of double

interactions. The contribution of each parameter is fairly the

same. The effect of double interactions is also significant.

Interactions 3 to 3 are not significant. A correlation, between

the MNR, the main factors and their double interactions, is

established

MNR ¼ C1h2v þ C2f2 þ C3SA2 þ C4hvfþ C5hvSA

þ C6fSA þ C7hv þ C8fþ C9SA ð3Þ

where Ci are coefficients obtained by the least square

method [54], where

C1 ¼ 25:9 £ 1022; C2 ¼ 2:0 £ 102

; C3 ¼ 23:7 £ 1023;

C4 ¼ 2:4; C5 ¼ 10:3 £ 1022; C6 ¼ 13:0; C7 ¼ 6:0;

C8 ¼ 214:7 £ 102; C9 ¼ 214:1

The global behaviour of the MNR, displayed in Fig. 7, is

well predicted by correlation (3). The mean absolute error is

then lower than 3 MNR units and the global trend of MNR

variation is satisfactory for our application. In order to

obtain a more general relation, it is necessary to extend the

range of variations of the engine parameters.

Link between SMN and engine parameters. In order to

find a relation between engine parameters and gas

composition, the effect of a variation of composition

(here, SMN) on critical parameters such as the KLSA, the

equivalence ratio and the volumetric efficiency is brought

out in Tables 8 and 9. A variation of þ10 SMN units

corresponds to a variation contained between þ2 and þ4

CA in term of KLSA, a variation of þ0.029 in term of

equivalence ratio and a variation of þ5.5 points in term of

Table 5

SMN of Algerian gas for various critical engine parameters

r f SA SMN

KLSA 70 0.8 18.8 83

70 0.7 30.8 83

KLER 70 0.86 15 83

70 0.74 25 83

KLVE 77.8 0.70 25 82

Table 6

Levels of variation (experimental plan) and range of validation (corre-

lation) of engine parameters

Engine parameters Levels of variation Range of validation

T (K) 298 298

SA 10 and 158CA 10–308CA

f 0.8 and 0.9 0.7–0.9

hv 60 and 70% 60–70%

Table 7

Mean effect of each engine parameter and its interactions on MNR

Factor Main factors Interactions

SA f hv SAf SAhv fhv SAfhv

Mean effect 8.0 8.8 7.0 2.0 1.8 1.5 20.8

C. Rahmouni et al. / Fuel 83 (2004) 327–336 333

Page 8: Knock Rating of Gaseous Fuels in a Single Cylinder Spark Ignition Engine

volumetric efficiency. From Table 2, other authors [3,4,6,

28,33,46,49–51] have quantified the effect of a variation of

þ10 MN units on critical engine parameters and noted that

the corresponding variation in term of KLSA ranges

between þ1 and þ6 CA. These values depend on the

operating conditions according to authors and on the kind of

engine used. The values obtained from the Lister-Petter

engine are similar to those obtained by Leiker et al. [3] or

Attar and Karim [6], which ascertains the methodology

employed using KLSA.

Influence of ambient temperature on KLSA. The effect of

ambient temperature on the occurrence of knock is studied

for various engine settings. For each temperature, the engine

parameters are fixed. The SA is modified until KLSA is

reached.

Measurements show that temperature has an appreciable

effect on KLSA whatever engine settings. An increase of the

ambient temperature leads to a decrease in KLSA (Figs. 8

and 9). Knock appears much earlier when the equivalence

ratio and temperature are important. The dependence of

KLSA, in term of relative variation ðDrKLSAÞ; with the

absolute variation of ambient temperature ðDTÞ can be

observed in Fig. 10. It can be noted that DrKLSA is

proportional to DT whatever is the engine tuning. Thus,

an increase of the ambient temperature leads to a decrease of

KLSA. Ambient temperature has a double effect on the

inner charge temperature:

† First, it directly changes the air/fuel mixture temperature;

† Second, it has an influence on wall heat transfer.

The different tests show that:

† Temperature has a great role in the variation of the

KLSA. When temperature increases, KLSA decreases;

† The error on KLSA is estimated to be about ^0.5 CA

and the error on the ambient temperature to be about

^0.2 8C. The slope of the curve is 21.7. An error of

2.2% was calculated on this coefficient;

Fig. 7. Measured MNR versus calculated MNR for 15 engine tunings.

Table 8

Engine settings considered for the measure of the effect of a þ10 SMN

units variation on critical parameters

Engine set Tuning No. 1 Tuning No. 2 Tuning No. 3 Tuning No. 4

SA 10 15 10 25

w 0.8 0.8 0.9 0.7

hv 70 70 70 70

KLSA 18.8 18.8 12.6 30.8

KLER 1.02 0.858 .1.05 0.743

KLVE .75.7 .77 .76 78.1

MNR 52.7 70 71 68

SMN 83 83 83 83

Table 9

Effect of a þ 10 SMN units variation on critical engine parameters

Tuning No. 1 Tuning No. 2 Tuning No. 3 Tuning No. 4

KLSA 2.98CA 2.98CA 2.28CA þ3.98CA

KLER 0.073 0.045 – 0.029

KLVE – – – 5.5 points

Fig. 8. Effect of the ambient temperature on KLSA ðhv ¼ 70%Þ:

Fig. 9. Effect of the ambient temperature on KLSA ðhv ¼ 60%Þ:

C. Rahmouni et al. / Fuel 83 (2004) 327–336334

Page 9: Knock Rating of Gaseous Fuels in a Single Cylinder Spark Ignition Engine

† A þ10 8C increase in the temperature between two

tests corresponds to a decrease of approximately

17 ^ 0.4% on the relative variation of the KLSA.

Depending of the KLSA, one obtains a variable trend

ranging between 21.5 K/8CA (for very low knocking

conditions) and 210 K/8CA, reflecting a noticeable influ-

ence of the intake temperature compared to other studies

(25 to 214 K/8CA). It can be explained by the double

influence of the ambient air also used to cool the engine.

4. Conclusions

1. Knock has been studied in a natural gas fuelled SI engine.

2. A database of 21 different gases was established and their

SMN was measured. We calculated the SMN of gases,

using Leiker’s methodology by varying SA.

3. A remarkable result is that the SMN is a very good

indicator of knock rating of gaseous fuels.

4. The measured SMN is highly correlated with the MN,

derived from the AVL software METHANE. MN is also

a good indicator for the knock rating of gaseous fuels.

5. An experimental plan was established to obtain the

influence of engine parameters (equivalence ratio, volu-

metric efficiency and spark advance) on MNR. This latter

was determined from 15 different engine tunings.

6. A correlation between the MNR and the engine

parameters was deduced from experimental data using a

least square method. Optimal operation of the engine

(knock-free operation) is then possible by adapting engine

parameters to variation of gas quality.

7. The determination of the SMN was proved to be

independent of the critical parameters chosen.

8. Experiments confirm the role of temperature and highlight

an influence twice as much important in the case of a

cooled air engine.

9. This work should be expanded for other gas engines in

order to confirm the results and to control knock whatever

engines.

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