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                                                                                     INTRODUCTION  25
                             In its simplest form, the engine control algorithm controls the fuel injector in order to
                             maintain a desired speed set by the accelerator pedal position sensor.
                                  The actively controlled variables by ECM are the injectors (when and how much fuel
                             to inject – an analog signal per injector), and the RPCV valve which is used to regulate the
                             pressure of the amplification oil line. As a result, for a six-cylinder, four-stroke cycle diesel
                             engine, the engine controller has seven control outputs: six outputs (one for each injector
                             solenoid) and one output for the RPCV valve (Figure 1.19). Notice that at 3000 rpm engine
                                     ◦
                             speed, 36 of crankshaft rotation takes only about 2.0 ms, which is about the window
                             of opportunity to complete the fuel injection. Controlling the injection start time with an
                                        ◦
                             accuracy of 1 of crankshaft position requires about 55.5 microsecond repeatability in the
                             fuel-injection control system timing. Therefore, accuracy in controlling the injection start
                             time and duration at different engine speeds is clearly very important. Since we know that
                             the combustion and injection processes have their own inherent delay due to natural physics,
                             we can anticipate these delays in a real-time control algorithm, and advance or retard the
                             injection timing as a function of the engine speed. This is called variable injection timing
                             in engine control.
                                  Solenoid actuated fuel injectors are digitally controlled, thereby making the injection
                             start-time and duration changeable in real-time based on various sensory and command data.
                             The injection start-time and duration are controlled by the signal sent to the solenoid. The
                             solenoid motion is amplified to high pressure injection levels via high pressure hydraulic
                             lines (i.e., in the case of HEUI injectors by Caterpillar Inc.) or by cam-driven push rod arms
                             (i.e., in the case of EUI injectors by Caterpillar Inc.).
                                  The intake manifold absolute pressure is closely related to the load on the engine –
                             as the load increases, this pressure increases. The engine control algorithm uses this sensor
                             to estimate the load. Some engines also include a high bandwidth acceleration sensor (i.e.,
                             piezoelectric accelerometer) on the engine cylinder head to detect the “knock” condition in
                             the engine. Knock condition is the result of excessive combustion pressures in the cylinders
                             (usually under loaded conditions of engine) as a result of premature and unusually fast
                             propagation of ignition of the air–fuel mixture. The higher the compression ratio is, the more
                             likely the knock condition is. The accelerometer signal is digitally filtered and evaluated
                             for knock condition by the control algorithm. Once the control algorithm has determined
                             which cylinders have knock condition, the fuel injection timing is retarded until the knock
                             is eliminated in the cyclinders in which it has been detected.
                                  In diesel engines with electronic governors, the operator sets the desired speed with
                             the pedal which defines the desired speed as a percentage of maximum speed. Then the
                             electronic controller modulates the fuel rate up to the maximum rate in order to maintain
                             that speed. The engine operates along the vertical line between the desired speed and the
                             lug curve (Figure 1.22). If the load at that speed happens to be larger than the maximum
                             torque the engine can provide at that speed, the engine speed drops and torque increases
                             until the balance between load torque and engine torque is achieved. In most gasoline
                             engines, the operator pedal command is a desired engine torque. The driver closes the loop
                             on the engine speed by observing and reacting to the vehicle speed. When “cruise control”
                             is activated, than the electronic controller regulates the engine fuel rate in order to maintain
                             the desired vehicle speed.


                             1.1.3 Engine Modeling with Lug Curve
                             If we neglect the transient response delays in the engine performance and the oscillations
                             of engine torque within one cycle (two revolutions of crank angle), the steady-state per-
                             formance of an engine can be described in terms of its mean (average) torque per cycle,
                             power, and fuel efficiency as a function of engine speed (Figure 1.22). The most important
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