Modeling and Identification of
Electro-pneumatic VNT Actuator for
Simulation and Control
A. Mehmood
*
S. Laghrouche
*
M. El Bagdouri
*
*
Laboratoire S.E.T, Universite de Technologie de Belfort-Montbeliard,
Belfort, France.( e-mail: adeel.mehmood@utbm.fr,
salah.laghrouche@utbm.fr, mohammed.el-bagdouri@utbm.fr).
Abstract: An accurate non-linear model based control of the electro-pneumatic actuator
adjoined to a Variable Nozzle Turbocharger (VNT) is proposed in this paper. Electro-pneumatic
actuator is composed of electro-pneumatic pressure converter (EPC) coupled to pneumatic
actuator. A precise physical model which captures fundamental dynamics of pneumatic
actuator and its interaction with EPC is proposed. Dynamics of the pressure inside the
actuator chamber are modeled, considering variation in volume and the temperature, along
with EPC controlled air mass flow to the actuator. Modeling of air-leakage phenomenon in the
EPC is also addressed. Comparison between simulation and experimental results shows the
effectiveness of the proposed model.
1. INTRODUCTION
In compliance with the new laws of pulsion control and
better performance, turbocharger control is essential re-
quirement of the automotive industry. Electro-pneumatic
actuators are widely used for the control of Variable Nozzle
Turbocharger (VNT). Their high power to weight ratio and
low cost make them more useful for automotive industry,
robotics and many other industrial applications ( See for
example Wang et al. [2007] and Garrett et al. [2001]).
VNT is a special type of turbocharger that can regulate
air charge, by changing the opening angle of its vanes.
Electro pneumatic actuator is connected to these vanes
via rotating unison ring that actuates all vanes together.
Electro-pneumatic actuators are the unification of electro-
pneumatic pressure converter (EPC) and pneumatic actu-
ators. Pressure inside the pneumatic actuator is controlled
with the help of EPC. See Fig.1 for more comprehension.
EPC, a solenoid actuator, connect the pneumatic actuator
chamber either with source reservoir (vacuum) or with
atmosphere. This paper concerns with the application of
the Electro-pneumatic actuators for the VNT.
In the literature, physical models for EPC and pneumatic
actuators are addressed separately. kotwicki and Russell
[1998] proposed an adiabatic thermodynamic vacuum ac-
tuator model for pneumatic actuator without considering
its interaction with EPC. Carneiro and Almeida [2006] pre-
sented and compared different thermodynamic models for
pneumatic actuator chamber (See also White [1994]). But,
dynamics of the diaphragm and EPC were not considered.
Simplified model of temperature and air mass flow are also
presented, in Messina et al. [2005], Smaoui et al. [2005] and
Laghrouche et al. [2005], to propose different control laws.
Physical models, based on solenoid actuators, for the EPC
are discussed in the work by Taghizadeh et al. [2009] and
Topcu et al. [2006]. To avoid parameter identification,
a static model for magnetic force acting on the EPC is
proposed by Galindo et al. [2009]. In his work, several
characterization tests were performed to obtain relevant
information from the vacuum system. Galindo et al. [2009]
also proposed 1D model of vacuum circuit but the physical
model was developed with some assumption like constant
volume and temperature within the pneumatic actuator.
Leakage phenomenon is not addressed in any of these
works.
An accurate model of VNT system is presented, that
captures fundamental dynamics of the actuator and inter-
action between its subsystems (EPC and pneumatic ac-
tuator). Experiments were carried out to determine static
model for magnetic force as a function of PWM. This force
controls effective air mass flow area between atmosphere,
actuator and reservoir chamber. Effective flow area is also
parameterized, as a function of plunger position, from
mechanical equation of the EPC (plunger). Variation in
the actuator pressure is also considered into account by
considering variable volume, temperature and air mass
flow. Moreover, air-leakage phenomenon in the EPC which
is due to flaws in the sealing is also considered in this work.
The paper is organized as follow; In the section II work-
ing and parameter identification of the electro-pneumatic
pressure converter is discussed. Physical modeling of the
pneumatic actuator along with dynamics of pressure, air
mass flow area and leakage phenomenon is addressed in
section III. In section IV, simulation results are compared
with measurements obtained from experimental setup. It
is shown that simulation results predict the experimental
results with accuracy. At the end, Some simplifications are
proposed to adopt the model for control.
2. SYSTEM MODELING
EPC controls pressure in the pneumatic actuator. Due to
change in pressure in the pneumatic actuator diaphragm
moves back and forth to open vanes of the turbocharger.
8th IFAC Symposium on Nonlinear Control Systems
University of Bologna, Italy, September 1-3, 2010
978-3-902661-80-7/10/$20.00 © 2010 IFAC 897 10.3182/20100901-3-IT-2016.00264