Position error compensation in quadrature analog magnetic encoders through an iterative optimization algorithm

Lara, Jorge; Chandra, Ambrish

doi:10.1109/iecon.2014.7048943

Cited by 29 publications

(8 citation statements)

References 16 publications

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“…where

k_{s}

and

k_{c}

are the DC offset gains. The resulting error is provided as follows [2]:

ε = k_{c} \sin θ_{e} - k_{s} \cos θ_{e} .

…”

Section: Problem Formulationmentioning

confidence: 99%

“…Resolvers provide a robust method for angular position measurement and speed tracking in field-oriented control (FOC) of permanent magnet synchronous machines (PMSMs) and induction machines. However, due to the non-ideal factors in the design, manufacture, installation and digital decoding of resolvers, the position signal usually contains inherent periodic position errors, which will inevitably reduce the control performance [1][2][3]. Therefore, it is necessary to design an effective position signal filtering algorithm to achieve a highperformance application.…”

Section: Introductionmentioning

confidence: 99%

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A novel filtering algorithm for the resolver position signal based on recursive least squares and phase‐locked loop

Lian

Xiao

Liu

et al. 2021

IET Power Electronics

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This paper presents a novel filtering algorithm for the resolver position signal based on recursive least squares (RLS) and phase‐locked loop (PLL). The proposed RLS‐PLL‐based algorithm designs a harmonic iterative estimation and elimination mechanism, which can accurately estimate and eliminate the specified harmonic contained in the resolver online and obtain an ideal reconstructed position signal. The convergence analysis, parameter design and pseudo code of the proposed algorithm are all provided. The advantage of the presented method mainly lies in that it has excellent position signal filtering performance in the entire operating condition, including low speed, high speed, steady state, and dynamic. Experimental results demonstrate that compared to the results achieved with the conventional look‐up table (LUT) method and the advanced type‐III angle tracking observe (ATO), the proposed RLS‐PLL‐based algorithm has improved filtering performance. Under some typical operating conditions, the harmonic content of the position signal reconstructed by the new method is reduced by an order of magnitude.

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“…where

k_{s}

and

k_{c}

are the DC offset gains. The resulting error is provided as follows [2]:

ε = k_{c} \sin θ_{e} - k_{s} \cos θ_{e} .

…”

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A novel filtering algorithm for the resolver position signal based on recursive least squares and phase‐locked loop

Lian

Xiao

Liu

et al. 2021

IET Power Electronics

View full text Add to dashboard Cite

show abstract

“…To reject the disturbances, harmonics are expanded to sine and cosine terms with zero phases as in equation (3). The gradient descent method then learns the amplitudes of the sine and cosine terms, instead of estimating the disturbance phases θ i .…”

Section: Related Workmentioning

confidence: 99%

A Stable Adaptive Gradient Descent Harmonic-Disturbance Rejection for Improving Phase-Tracking Accuracy

et al. 2020

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This paper proposes a stable adaptive gradient descent for harmonic-disturbance rejection as a tool for grid-power signal processing, magnetic rotary encoders, and permanent-magnet synchronous motors. The method can be widely applied to increase the accuracy of phase or position estimation in various systems in which harmonic disturbances exist. The proposed technique is based on learning the harmonic amplitudes by means of gradient descent on the feedback phase error. To compensate for the disadvantages of existing gradient-descent methods, the derivative expansion is fully developed with system transfer function integration for stable weighting update. In addition, an adaptive learning rate is also proposed based on discrete Lyapunov standard to achieve stability, and theoretical analysis is discussed. The performance of the method is evaluated by numerical simulation in MATLAB with various scenarios, and by the experiment with the rotary magnetic encoders. The results show that the proposed method achieves stability and high performance in harmonic rejection.

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“…Common methods include mathematical modeling, filters, and phase-locked loop. Lara et al [12] utilized a higher order approximation to describe harmonics but had a slight convergence deviate. The smaller the deviation was, the more complex model needed to be established.…”

Section: Introductionmentioning

confidence: 99%

Noise Reduction for High-Accuracy Automatic Calibration of Resolver Signals via DWT-SVD Based Filter

Guo

2019

Electronics

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High-accuracy calibration of resolver signals is the key to improve its angular measurement accuracy. However, inductive harmonics, residual excitation components, and random noise in signals dramatically restrict the further improvement of calibration accuracy. Aiming to reduce these unexpected noises, a filter based on discrete wavelet transform (DWT) and singular value decomposition (SVD) is designed in this paper. Firstly, the signal was decomposed into a time-frequency domain by DWT and several groups of coefficients were obtained. Next, the SVD operation of a Hankel matrix created from the coefficients was made. Afterwards, the noises were attenuated by reconstructing the signal with a few selected singular values. Compared with a conventional low-pass filter, this method can almost only preserve the fundamental and DC components of the signal because of the multi-resolution characteristic of DWT and the good correspondence between the singular value and frequency. Therefore, the calibration accuracy of the imperfect characteristics could be improved effectively. Simulation and experimental results demonstrated the effectiveness of the proposed method.

show abstract

Position error compensation in quadrature analog magnetic encoders through an iterative optimization algorithm

Cited by 29 publications

References 16 publications

A novel filtering algorithm for the resolver position signal based on recursive least squares and phase‐locked loop

A novel filtering algorithm for the resolver position signal based on recursive least squares and phase‐locked loop

A Stable Adaptive Gradient Descent Harmonic-Disturbance Rejection for Improving Phase-Tracking Accuracy

Noise Reduction for High-Accuracy Automatic Calibration of Resolver Signals via DWT-SVD Based Filter

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