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International Journal of Automotive Technology

, Volume 20, Issue 6, pp 1221–1236 | Cite as

Modeling and Control of A High Speed On/Off Valve Actuator

  • Jigen Fang
  • Xifeng Wang
  • Jinjun Wu
  • Shuai Yang
  • Liang LiEmail author
  • Xiang Gao
  • Yue Tian
Article
  • 17 Downloads

Abstract

Accurate electromagnetic force control in a high speed on/off valve actuator (HSVA) can improve the performance of a vehicle braking system, and an accurate theoretical model is the key to smoothly controlling the high speed on/off valve. Therefore, a nonlinear model of an HSVA is proposed in this paper. Three subsystems are modeled as a spring/mass/damper system, a nonlinear resistor/inductor system and a multiwall heat transfer system, respectively. Then, a sliding-model controller combined with a sliding-model observer is designed to adjust the electromagnetic force for an accurate HSVA state control, taking the effect of the coil heating into account. The feasibility of the three submodels and the sliding-model controller are verified by comparing the simulation results with the experimental results obtained on a test bench. Our study shows that the three subsystems are coupled to one another through resistance, displacement, and temperature. When the excitation voltage exceeds 9 V, the coil temperature can reach more than 150 degrees Celsius within 300 s, and the electromagnetic force decreases by approximately 30 %. However, by applying the above control strategy, the electromagnetic force can also be stable, fluctuating within 5 % even if the temperature of the coil rises to the thermal equilibrium temperature.

High speed on/off valve actuator Spring/mass/damper system Resistor/inductor system Multiwall heat transfer system Sliding-model controller 

Nomenclature

Ae

section area of the air gap

B

magnetic flux density

c

coulomb friction term

c1

specific heat capacity of the copper wire

c2

specific heat capacity of the nylon frame

c3

specific heat capacity of the shell

dr

differential thickness

e

is the estimation error

FM

electromagnetic force

FS

spring force

Fpre

preload of the return spring

H

magnetic field

i

current through the coil

id

desired current

im

measured current

Je

eddy current density

k

return spring

kpi

proportional gain

kii

integral gain

L

inductance of the coil

m1

mass of the copper wire

m2

mass of the nylon frame

m3

mass of the shell

N

number of turns on solenoid coil

nx, ny, nz

direction cosines of the exterior normal to the boundary

PR

copper loss

Pe

iron loss

Q

heat conduction rate

q

heat flow

qhc

heat flux of heat conduction

qt

heat flux of thermal convection

qV

heat generation ratio

R

resistance of the coil

r1

inner radius of a heat transfer layer

r2

outer radius of a heat transfer layer

T

temperature

Us

supply voltage

UR

voltage of the equivalent resistance

UL

voltage of the equivalent inductor

η

viscous damping term

x

armature/spool displacement

xd

desired armature position

λ

thermal conductivity

λx, λy, λ

heat conductivity coefficients in the x-, y- and z-directions

εf

black body coefficient

σ

electrical conductivity

Ψ

flux linkage

αw

temperature coefficient of resistance

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Notes

Acknowledgement

This work was supported by the National Natural Science Foundation of China (grant number 51475197 and 51422505). The authors would like to thank Tianjin Trinova Automobile Technology Co. Ltd. for providing technical and experimental support for this research.

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Copyright information

© KSAE/ 111-14 2019

Authors and Affiliations

  • Jigen Fang
    • 1
  • Xifeng Wang
    • 1
  • Jinjun Wu
    • 1
  • Shuai Yang
    • 3
  • Liang Li
    • 2
    Email author
  • Xiang Gao
    • 2
  • Yue Tian
    • 3
  1. 1.China Productivity Center for MachineryChina Academy of Machinery Science and TechnologyBeijingChina
  2. 2.State Key Laboratory of Automotive Safety and EnergyTsinghua UniversityBeijingChina
  3. 3.School of Mechanical EngineeringYanshan UniversityHebeiChina

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