Jia Ma
Delphi Powertrain Systems,
Auburn Hill, MI 48326
e-mail: jia.ma@delphi.com
Guoming G. Zhu
e-mail: zhug@egr.msu.edu
Harold Schock
e-mail: schock@egr.msu.edu
Michigan State University,
East Lansing, MI 48824
A Dynamic Model of an
Electropneumatic Valve Actuator
for Internal Combustion Engines
This paper presents a detailed model of a novel electropneumatic valve actuator for both
engine intake and exhaust valves. The valve actuator’s main function is to provide vari-
able valve timing and variable lift capabilities in an internal combustion engine. The
pneumatic actuation is used to open the valve and the hydraulic latch mechanism is used
to hold the valve open and to reduce valve seating velocity. This combination of pneu-
matic and hydraulic mechanisms allows the system to operate under low pressure with an
energy saving mode. It extracts the full pneumatic energy to open the valve and use the
hydraulic latch that consumes almost no energy to hold the valve open. A system dynam-
ics analysis is provided and followed by mathematical modeling. This dynamic model is
based on Newton’s law, mass conservation, and thermodynamic principles. The air com-
pressibility and liquid compressibility in the hydraulic latch are modeled, and the dis-
continuous nonlinearity of the compressible flow due to choking is carefully considered.
Provision is made for the nonlinear motion of the mechanical components due to the
physical constraints. Validation experiments were performed on a Ford 4.6 l four-valve
V8 engine head with different air supply pressures and different solenoid pulse inputs.
The simulation responses agreed with the experimental results at different engine speeds
and supply air pressures. DOI: 10.1115/1.4000816
Keywords: automotive systems, powertrain systems, camless valve actuation, hydraulic
and pneumatic system model
1 Introduction
In a camless valvetrain, the motion of each valve is controlled
by an independent actuator. There is no camshaft or other mecha-
nisms coupling the valve to the crankshaft as in a conventional
valvetrain. This provides the possibility to control the valve
events, i.e., timing, lift, and duration, independent of crankshaft
rotational angle. Various studies have shown that an engine with
variable valve actuation reduces pumping losses, adjusts the
cycle-to-cycle internal residual gas recirculation RGR, and re-
duces nitrogen oxide NO
x
emissions with improved perfor-
mance over a wide operating range.
A significant amount of research has been contributed to dem-
onstrate the advantage of variable valve actuation VVA over the
traditional cam-based valvetrain for both gasoline and diesel en-
gines. The investigation of intake valve timing control of a spark
ignited SI engine was conducted in Ref. 1. It was found that at
low and partial load conditions, engine pumping loss was reduced
by 20–80% due to throttless operation. Fuel consumption was
improved up to 10% at idle. Through simulation and experiments,
Negurescu et al. 2 showed that SI engine efficiency can be im-
proved up to 29% due to variable valve timing VVT, compared
with a classic throttled engine. The engine torque output was also
improved by up to 8% at low speed with wide open throttle.
Research carried out in Ref. 3 demonstrated how VVT and
variable valve lift VVL affect the partial load fuel economy of a
light-duty diesel engine. In this study, the indicated and brake-
specific fuel consumptions were improved up to 6% and 19%,
respectively. The operation of an Otto–Atkinson cycle engine by
late intake valve closing to have a larger expansion ratio than
compression ratio was studied in Ref. 4. A significant reduction
of carbon monoxide CO and NO
x
emissions was obtained. Urata
et al. 5 also showed that the operational range of a homoge-
neously charged compression ignition HCCI engine can be ex-
panded to both high and low load ranges through the adoption of
VVT and VVL. The advantages of VVT and VVL engines lead to
combustion optimization over a broad engine operational range.
For example, Trask et al. 6 developed the VVT and VVL opti-
mization methodologies for an I4 2.0 l camless ZETEC engine at
various operational conditions including cold starts, cylinder de-
activation, full load, idle, and transient operations.
Three primary types of camless valve actuators are electromag-
netic, hydraulic, and pneumatic actuators. Sugimoto et al. 7,
Theobald et al. 8, and Pischinger and Kreuter 9 presented the
results of electromagnetic actuators. A hydraulic actuator was dis-
cussed in Ref. 10. A pneumatic actuator incorporated with a
permanent magnet control latch was presented in Ref. 11. The
advantages and disadvantages of a pneumatic actuator over a hy-
draulic actuator were addressed in Ref. 12, where a pneumatic
valve actuator with a physical motion stopper was presented and
the simulations of the valve actuation system were shown. Imple-
mentation of various camless valve actuators was studied in 13.
In order to provide an insight to the pneumatic actuator design
and its control requirements, mathematical modeling was per-
formed to the engine and its various actuation systems. A variable
valve timing engine was modeled in Ref. 14, along with its
engine control strategy. Tessler et al. 15 analyzed and modeled
the dynamics of a pneumatic system consisting of a double-acting
or single-acting cylinder and servo valve. A mathematical model
of a pneumatic force actuator was presented in Ref. 16.
In this article, an electropneumatic valve actuator EPVA is
employed to replace the traditional camshaft in an internal com-
bustion engine. The EPVA is capable of varying valve lift, timing,
and opening duration as desired in a variable valve timing engine.
Different from the pneumatic valve discussed in Ref. 12, the
EPVA is designed to extract the maximum work from the air flow
by incorporating a hydraulic latch mechanism to hold valve open
Contributed by the Dynamic Systems Division of ASME for publication in the
JOURNAL OF DYNAMIC SYSTEMS,MEASUREMENT, AND CONTROL. Manuscript received
November 15, 2008; final manuscript received November 20, 2009; published online
February 3, 2010. Assoc. Editor: Bin Yao.
Journal of Dynamic Systems, Measurement, and Control MARCH 2010, Vol. 132 / 021007-1
Copyright © 2010 by ASME
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