# me318_03-04 by zhangsshaohui123

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SCHOOL OF ENGINEERING

MODULAR HONOURS DEGREE

LEVEL 3

SEMESTER 2

2003/2004

ENGINE MANAGEMENT AND CONTROL

Examiners: Dr J. J. Leary / Dr P.A. Howson

Attempt FIVE questions only                                          Time allowed : 3 hours.

Total number of questions = 8

All questions carry equal marks

The figures in brackets indicate the relative weightings
of parts of a questions

Special requirements : None
ME318 2 /7

1) The majority of spark ignition internal combustion engines utilise an inductive discharge
ignition system rather than a or capacitor discharge spark ignition system.

a) Sketch the voltage and current characteristic of a typical spark produced by a inductive
discharge system.                                                                          (5)

b) Indicate on a sketch of the voltage characteristic in (a) where you would expect to find
the “Arc Phase” of the spark.                                                              (7)

c)   Discuss what are the causes of radio frequency emission produced by a spark ignition
System.                                                                                   (8)

2)

a) Describe briefly the phenomena of “pre ignition” and “detonation”, in particular the
causes of each and the differences.                                                        (5)

b) Figure 1 shows the electrical representation of a typical ignition coil at the point of
ignition, where ;

Ip=Primary Peak Current, Io=Secondary Current, Cp=Primary winding capacitance,
Rp=Primary winding resistance, Lp=Primary Winding Inductance, Ls=Secondary
Winding inductance, Rs=Secondary Winding Resistance and Cs=Secondary Winding
Capacitance.
Ip                                           Io

Rp                     Rs

Cp
Cs              Vo
Lp               Ls

Derive an approximate expression to obtain the peak value of Vo in terms of Ip, Lp and Cs.         (10)
ME318 3 /7

c) Sketch the electrical representation of a spark plug explaining what each component
represents. Assume that the spark plug does not contain any internal noise suppression
resistor.                                                                                       (5)

3)

a) Explain the principal advantages and disadvantages of single point fuel injection
compared to sequential fuel injection systems.                                               (4)

b) Why is it considered essential that after treatment exhaust emission control systems, that
contain a three way catalytic converter, should operate at lambda = 1.                 (6)

c) What are the application differences between a “hot” differences between a running

spark plug compared to “cold” running spark plug.                                            (6)

d) What are the potential consequences of using a “hot” running spark plug in a engine

that requires a “cold” type spark plug.                                                      (4)

4) An industrial twin cylinder four stroke engine is under test on a engine test bed,
utilising a electrical dynamometer as the load. The engine is fuel injected on each
revolution and running at a fixed speed, but a slight misfire was observed.

The following data were recorded by the engine monitoring system;

Torque ( Nm )         Engine speed       Average Inlet Air     Lambda (sensor)   Injector open Time
(r.p.m)            mass flow (kg / hr)                     per cycle (ms)

4.5                      1600            2.0                   1.2               0.51

a) Calculate the power produced by the engine at the crankshaft.                                   (2)

b) Calculate the efficiency of the engine.                                .                        (6)

c) Calculate what the true value of lambda should be.                                              (4)

d) Explain why there is a difference between the calculated value of lambda and the
measured value.                                                                                 (5)
e) If the ignition is switched off and the engine speed maintained by the dynamometer
what would you expect the air mass to do.                                                       (3)
ME318 4 /7

Take the injector flow rate to be 1.86 grams per second.
Energy value of the fuel to be 41 MJ per kg.
Relative density of fuel to be 0.79.
5)
a) Given the following flow chart for an interrupt loop within an engine management
system, derive the discrete time equation y(i) in terms of x(i), y(i-1) etc.               (5)

START:

1. y      0            Initialize running total to zero

3. y      y+x          Calcu late the new running total

4. DA C       y        Send the running total to the ADC

5. WAIT T              Delay until T seconds has elapsed

6. Goto step 2        Do it all over again

b) The above flow chart actually represents one form of integration (the backward rule)
where the sample interval is 1 second. Rewrite the backward rule equation to include a
sample interval of T seconds in terms of a z transform.                                    (2)

c) Describe the other two rules for integration that are commonly used and their
corresponding discrete time equation and z transforms.                                     (3)

d) Using the backward rule derive the difference equation for a discrete time
approximation to the phase lead compensator for a sample time of 1 second:                (10)

U ( s ) 1  as

E (s)    1  s
ME318 5 /7

6) The following controller transfer function is used to control the motor torque which drives
the fuel pressure pump in a CDI (common rail direct injection) diesel engine.

 bz  1
Gz   a 1 
    z  1 


U z 
where G  z  
E z 

a) Derive the discrete time equation for motor torque u(i) in terms of e(i), e(i-1), u(i-1) and
so on.                                                                                        (10)

b) Given a=b=1, show how you would construct an Excel spreadsheet to model the system
response to an arbitrary input.                                                                (5)

c) Calculate in tabular form the system output response to a unit step input over the range
0 - 5 seconds for a sample time interval of 1 second.                                          (5)
ME318 6 /7

7) Given the following block diagram of an internal combustion engine:

TL
A           V
U                 TI     - T                 1                     C
1
K1           + N                                  K3
0-100%                        -       J         S
       
                Engine
Acceleration                                                            Speed
position                         TF                                     (rev/min)

K2

Figure Q7 A dynamometer control system model

Variables
U       Engine throttle (%)
TI      Gross torque from combustion or indicated torque (Nm)
TN      Net torque (Nm)
TF      Frictional torque (Nm)
C       Engine speed (rev/min)

Constants
K1     0.3
K2     0.3/
K3     60/2 (to convert from rad/s to rev/min)
J      0.1 kg m2 (rotational inertial)

a) Describe in detail the function and contents of all the blocks shown in the diagram, and
explain the reasons why each of the connections are made as shown, as if you were
writing a tutorial for someone who is seeing it for the first time.                       (10)

Using either Excel or Visual Basic, show how you would create a mathematical model of
the above block diagram on a computer to model the time response.                            (10)
ME318 7 /7

8) A digital traction control system for a modern sports car needs to be implemented for
engine torque control during acceleration, using a digital equivalent of the analogue three
term controller shown here:

   1           de 
u c  K e   e.dt  Td 
 Tr            dt 

a) Explain the function of each of the terms K, Tr and Td                                  (5)

b) Explain in detail the individual steps needed to convert the above analogue controller
equation to the following digital controller, stating any assumptions made:           (10)

    T z  1 z  1Td 
Gc z   K 1 
ˆ                                   
 2z  1Tr      T .z 

c) Given that u(i) = up(i) + ui(i) + ud(i) where each term is either proportional, integral or

derivative, determine the discrete time equation for ud(i) only in terms of e(i).      (5)

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