Design and Analysis of a Fully Variable Valve Actuation System
Abstract
:1. Introduction
2. System Overview
2.1. System Requirements
- In order to ensure adequate intake and exhaust, the FVVA system needs to provide a maximum valve lift of 8 mm in general, and it also needs to have the function of adjusting the valve lift.
- In order to ensure that the internal combustion engine runs at high load and high velocity, the valves need to be able to move to a specified displacement in a short time. For the FVVA system, the important indicator is the transition time of valve opening or closing. The transition time is defined as the time from 5% to 95% of the valve opening or closing position.
- 3.
- During the valve closing process, if the seating velocity exceeds a certain range, it is very likely to cause an impact between the valve seat and the valve with the valve rebound. This will easily cause the valve to fail to close in time and affect the ventilation function. It is generally believed that the maximum allowable valve seat velocity is 0.3 m/s [15,16].
2.2. System Structure
3. Structure Design
3.1. Requirement Analysis
- According to Formula (10), the minimum moment of inertia of the motor is related to the maximum lift of the valve and the mass of the valve and the valve connector. The motor rotation angle is required to be limited to 20°.
- According to Formula (7), in order to ensure that the motor can provide the maximum acceleration of the valve, the arm length can be determined. In the design stage, the inertia of the rotating arm and the mass of the valve connector cannot be calculated, which can be temporarily ignored. It can be verified after the design is finished.
- According to Formula (8), the drive capacity of the motor is estimated through the motor parameters. It is necessary to ensure that the acceleration of the valve can meet the theoretical requirements.
- After determining the mechanism parameters, step 2 and step 3 are repeated, considering the moment of inertia of the rotating arm and the mass of the valve connector to ensure that the actuator meets the requirements.
3.2. Structure Design of the BLDCM
- First, determine the minimum moment of inertia of the motor. In this system, the valve mass is 48 g, the maximum valve lift is 8 mm, and the rotation angle of the motor is limited to less than 20°. According to Formula (10), the minimum inertia of the motor is 2.54 × 10−5 kg·m2.
- After determining the arm length, according to Formula (8), the maximum acceleration of the valve is proportional to the maximum torque of the motor, and inversely proportional to the moment of inertia of the motor. It is necessary to ensure that the acceleration capability of the valve meets the theoretical requirements, namely a ≥ 935 m/s2.
3.3. Structure Design of the Crank-Moving Guide Rod Mechanism
3.4. Actuator Design Verification
4. Modeling and Analysis
4.1. Model for the FVVA System
- The stator three-phase windings are symmetrical, and the stator current and the rotor magnetic field are symmetrically distributed.
- Excluding the influence of eddy current and hysteresis loss.
- Ignore the armature reaction and cogging effect of the motor.
- Ignore the power loss in the control circuit.
4.2. Motion Control Algorithm of the FVVA System
4.3. Results and Discussion
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
Abbreviations
FVVA | fully variable valve actuation |
BLDCM | brushless direct current motor |
EMCL | electromechanical camless valve |
PWM | pulse width modulated |
the maximum velocity of the engine | |
The maximum time allowed for valve opening or closing | |
the maximum continuous crank angle | |
the length of the boom | |
the acceleration of the BLDCM | |
the acceleration of the valve | |
the moment of inertia of the motor | |
the mass of the valve | |
the mass of the valve connector | |
the maximum valve displacement | |
the maximum angle of motor rotation | |
Tmag | the electromagnetic driving torque |
c | the mechanical damping coefficient |
F0 | the combustion forces |
v | the velocity of the valve |
phase winding inductance | |
resistance of the phase | |
mutual inductance | |
A phase current | |
B phase current | |
C phase current | |
A phase voltage | |
B phase voltage | |
C phase voltage | |
EMF | back ElectroMagnetic Forces |
the EMF generated in A phase | |
the EMF generated in B phase | |
the EMF generated in C phase | |
the electrical angular velocity of BLDCM | |
the tracking error | |
the reference value | |
the feedback value | |
proportional gains of the controller | |
integral gains of the controller |
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Name | Parameters |
---|---|
Outer diameter of the stator | 60.8 mm |
inner diameter of the stator | 38 mm |
Outer diameter of the rotor | 37 mm |
inner diameter of the rotor | 28 mm |
Length of the motor | 59 mm |
The rated voltage | 48 V |
Phase resistance | 0.61 Ω |
Phase inductance | 0.57 mH |
Constant torque | 0.198 N·m/A |
Peak current | 30 A |
The moment of inertia | 4.75 × 10−5 kg·m2 |
Name | Moment of Inertia (kg·m2) | Name | Mass (g) |
---|---|---|---|
Rotor | 4.75 × 10−5 | Valve | 48 |
Shaft | 1.06 × 10−5 | Valve connector | 9 |
Rotating arm | 0.37 × 10−5 | Hole sleeve | 2.5 |
Shaft sleeve | 0.27 × 10−5 | Valve lock clip | 1.2 |
Encoder | 0.35 × 10−5 | Valve holder | 1.9 |
Total | 6.8 × 10−5 | Total | 62.6 |
Electrical Angle | Phase A | Phase B | Phase C |
---|---|---|---|
0°–60° | 1 | 0 | / |
60°–120° | 1 | / | 0 |
120°–180° | / | 1 | 0 |
180°–240° | 0 | 1 | / |
240°–300° | 0 | / | 1 |
300°–360° | / | 0 | 1 |
Electrical Angle | The Traditional Valve Drive System | EMCLV | FVVA |
---|---|---|---|
Transition Time (ms) | / | 3.5 [20] | 3.8 |
Seating Velocity (m/s) | 0.3 | 0.1 | 0.18 |
Controllable Variables | / | Phase During | Phase During Lift |
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Jiang, L.; Liu, L.; Peng, X.; Xu, Z. Design and Analysis of a Fully Variable Valve Actuation System. Energies 2020, 13, 6391. https://doi.org/10.3390/en13236391
Jiang L, Liu L, Peng X, Xu Z. Design and Analysis of a Fully Variable Valve Actuation System. Energies. 2020; 13(23):6391. https://doi.org/10.3390/en13236391
Chicago/Turabian StyleJiang, Longxin, Liang Liu, Xiaowei Peng, and Zhaoping Xu. 2020. "Design and Analysis of a Fully Variable Valve Actuation System" Energies 13, no. 23: 6391. https://doi.org/10.3390/en13236391