Abstract

Techniques for estimating the plunger position have successfully proven to support operation and monitoring of electromagnetic actuators without the necessity of additional sensors. Sophisticated techniques in this field make use of an oversampled measurement of the rippled driving current in order to reconstruct the position. However, oversampling algorithms place high demands on AD converters and require significant computational effort which are not desirable in low-cost actuation systems. Moreover, such low-cost actuators are affected by eddy currents and parasitic capacitances, which influence the current ripple significantly. Therefore, in this work, those current ripples are modeled and analyzed extensively taking into account those effects. The Integrator-Based Direct Inductance Measurement (IDIM) technique, used for processing the current ripples, is presented and compared experimentally to an oversampling technique in terms of noise robustness and implementation effort. A practical use case scenario in terms of a sensorless end-position detection for a switching solenoid is discussed and evaluated. The obtained results prove that the IDIM technique outperforms oversampling algorithms under certain conditions in terms of noise robustness, thereby requiring less sampling and calculation effort. The IDIM technique is shown to provide a robust position estimation in low-cost applications as in the presented example involving a end-position detection.

Highlights

  • Electromagnetic actuators are nowadays widely applied in industrial, automotive, and consumer applications

  • A thorough mathematical analysis of current ripples inside electromagnetic actuators when driven with switching electronics is conducted taking into account the presence of eddy currents and parasitic capacitances

  • The results of this analytical as well as numerical analysis prove that the presence of these effects has a significant influence on the current ripple especially at the switching time instants of the Pulse Width Modulation (PWM) driving voltage

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Summary

Introduction

Electromagnetic actuators are nowadays widely applied in industrial, automotive, and consumer applications. The above-mentioned techniques show that the use of a pre-processing hardware increases the SNR while minimizing the computational effort This inspired the works [25,26,27] introducing the so-called Integrator-Based Direct Inductance Measurement (IDIM) technique, which makes use of an analog integrator for inductance estimation: due to the concept of analog integration, the current ripple can be amplified while the noise is rejected during integration. The following work offers a thorough analysis of the current ripple inside an electromagnetic reluctance actuator including parasitic effects such as iron losses, eddy currents, and capacitances as well as back-EMF voltages and improves the mathematical description of the IDIM technique taking into account the presence of those effects Another important research aspect concerns noise rejection and computational effort of the discussed techniques. The obtained sensorless position estimator is compared to the position measured by an high-precision positioning table and conclusions concerning precision, noise robustness, and implementation effort are drawn

Mathematical Analysis of the Current Ripples inside Electromagnetic Actuators
Analysis of the Response of a RL Circuit Driven with a PWM Voltage
Analysis of the Response of the Complete Circuit Driven with a PWM Voltage
Approximation of the Model for Common Electromagnetic Reluctance Actuators
Circuitry used theimplementation implementation of of the the IDIM
Simplified IDIM Approach
Oversampling Approach
Experimental Results
Noise Power of the Discussed Approaches
Inductance Characteristic of the Actuator under Testing
Validation of the Use Case Scenario
Conclusions
Patents
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