Composite state observer for resolver-to-digital conversion

Zhang, Jian; Wu, Zhong

doi:10.1088/1361-6501/aa6145

Cited by 18 publications

(11 citation statements)

References 33 publications

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“…It should be mentioned that the windings of stator and rotor are wound based on the principle of on-tooth, variable turn, overlapping method. To achieve sinusoidal distribution for windings, turns of sine and cosine coils on the kth stator/rotor tooth can be presented by [2,11]…”

Section: Topology and Operating Principlementioning

confidence: 99%

“…Finally, substituting (2) in (5)–(6) and considering this fact that the excitation frequency is much higher than rotor speed, the stator voltages can be summarised as

V_{a} = \frac{L_{s, ex} V_{m} ω}{\sqrt{R_{ex}^{2} + L_{ex}^{2} ω^{2}}} \sin (ϑ) \sin (ω t - Arc \tan \frac{L_{ex} ω}{R_{ex}})

V_{b} = \frac{L_{s, ex} V_{m} ω}{\sqrt{R_{ex}^{2} + L_{ex}^{2} ω^{2}}} \cos (ϑ) \sin (ω t - Arc \tan \frac{L_{ex} ω}{R_{ex}})

Then, rotor position ( ϑ ) can be calculated as

ϑ = \tan^{- 1} ()(, \frac{V_{a}}{V_{b}})

It should be mentioned that the windings of stator and rotor are wound based on the principle of on‐tooth, variable turn, overlapping method. To achieve sinusoidal distribution for windings, turns of sine and cosine coils on the k th stator/rotor tooth can be presented by [2, 11]

N_{c k} = N_{s 0} \cos (][, false(k - 1 false) \frac{2 p_{w} π}{Z})

N_{s k} = N_{s 0} \sin (][, false(k - 1 false) \frac{2 p_{w} π}{Z})

…”

Section: Topology and Operating Principlementioning

confidence: 99%

“…Although sensor less control of electrical machines has many advocates, its drawbacks such as vibration at zero start-up due to uncertain rotor position, make them unsuitable for high-accuracy applications. In such applications, usually encoders and resolvers are used [1][2][3][4]. The challenges of optical encoders make resolvers the only choice for many applications where the sensor has to be worked accurately in polluted environments over a wide range of speeds, temperature, and vibration [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

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Effect of damper winding on accuracy of wound‐rotor resolver under static‐, dynamic‐, and mixed‐eccentricities

Totoonchian

2018

IET Electric Power Applications

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Most of the resolvers used in high precision servomechanism are two-pole, wound-rotor ones. The configuration of their stator winding is based on variable-turn, on-tooth method. However, there is different opportunity for their rotor: using distributed winding or on-tooth one. Furthermore, based on the operating principle of the resolver its rotor needs a single phase winding. While, in many practical cases a two-phase winding that one of them is short-circuited (damper winding) is employed for rotor. In this study, the effect of different configurations for rotor winding on the resolver performance in terms of the average of absolute position error, maximum position error, and total harmonic distortion of induced voltages envelopes is investigated. Then, the effect of damper winding on the performance of the resolver under static-, dynamic-, and mixed-eccentricities are studied. In this study, all simulations are performed using three-dimensional time stepping finite-element method and finally, the experimental tests on the studied sensor using a precision test setup are employed to approve the simulation results.

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Section: Topology and Operating Principlementioning

confidence: 99%

“…Finally, substituting (2) in (5)–(6) and considering this fact that the excitation frequency is much higher than rotor speed, the stator voltages can be summarised as

V_{a} = \frac{L_{s, ex} V_{m} ω}{\sqrt{R_{ex}^{2} + L_{ex}^{2} ω^{2}}} \sin (ϑ) \sin (ω t - Arc \tan \frac{L_{ex} ω}{R_{ex}})

V_{b} = \frac{L_{s, ex} V_{m} ω}{\sqrt{R_{ex}^{2} + L_{ex}^{2} ω^{2}}} \cos (ϑ) \sin (ω t - Arc \tan \frac{L_{ex} ω}{R_{ex}})

Then, rotor position ( ϑ ) can be calculated as

ϑ = \tan^{- 1} ()(, \frac{V_{a}}{V_{b}})

N_{c k} = N_{s 0} \cos (][, false(k - 1 false) \frac{2 p_{w} π}{Z})

N_{s k} = N_{s 0} \sin (][, false(k - 1 false) \frac{2 p_{w} π}{Z})

…”

Section: Topology and Operating Principlementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of damper winding on accuracy of wound‐rotor resolver under static‐, dynamic‐, and mixed‐eccentricities

Totoonchian

2018

IET Electric Power Applications

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“…Caruso et al [21] focused on the compensation of position error by making the tracking system have a time-dependent error, which would finally be cancelled by the PI controller. Zhang et al [22] proposed a composite observer for fast-varying speed using the arctangent method to compensate the estimated speed from ATO. Drawing on advantages from both arctangent and ATO methods, this composite observer enhances accuracy in estimating acceleration-related position.…”

Section: Introductionmentioning

confidence: 99%

Angle Tracking Observer with Improved Accuracy for Resolver-to-Digital Conversion

Qin

2019

Symmetry

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A resolver is an absolute shaft sensor which outputs pair signals with ortho-symmetric amplitudes. Ideally, they are sinusoidal and cosinusoidal functions of the shaft angle. In order to demodulate angular position and velocity from resolver signals, resolver-to-digital conversion (RDC) is necessary. In software-based RDC, most algorithms mainly employ a phase-locked loop (PLL)-based angle tracking observer (ATO) to form a type-II system. PLL can track the detected angle by regulating the phase error from the phase detector which depends on the feature of orthogonal symmetry in the resolver outputs. However, a type-II system will result in either steady-state errors or cumulative errors in the estimation of angular position with constant accelerations. Although type-III ATOs can suppress these errors, they are still vulnerable to high-order acceleration signals. In this paper, an improved PLL-based ATO with a compensation model is proposed. By using dynamic compensation, the proposed ATO becomes a type-IV system and can reduce position estimation errors for high-order acceleration signals. In addition, the parameters of ATO can be tuned according to the bandwidth, noise level and capability of error suppression. Simulation and experimental results demonstrate the effectiveness of the proposed method.

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“…A PLL converter using PI controller was designed in [16] for resolvers and sine/cosine encoders. Besides, the angle tracking observer (ATO) methods presented in [17][18][19] are also PLL systems.…”

Section: Introductionmentioning

confidence: 99%

Demodulation of Angular Position and Velocity from Resolver Signals via Chebyshev Filter-Based Type III Phase Locked Loop

Liu¹,

Wu²

2018

Electronics

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A high-accuracy demodulation algorithm is required to estimate angular position and angular velocity from resolver signals. In order to improve the estimation accuracy of conventional phase-locked loop (PLL) based demodulation method, a Chebyshev filter-based type III PLL method is proposed in this paper. The proposed method makes PLL become a system of type III tracking loop, which could greatly reduce the theoretical constant deviation in the estimation results of conventional type II PLL in case of variable speed. Meanwhile, the eigenvalues of type III PLL are placed to be the same position as those of a Chebyshev low-pass filter. In this way, demodulation parameters with stronger filter properties can be obtained to effectively suppress the high-frequency measurement noise in resolver signals. Thus, the proposed method can achieve higher demodulation precision compared with the conventional ones. Simulations and experiments are performed to validate the proposed demodulation method.

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Composite state observer for resolver-to-digital conversion

Cited by 18 publications

References 33 publications

Effect of damper winding on accuracy of wound‐rotor resolver under static‐, dynamic‐, and mixed‐eccentricities

Effect of damper winding on accuracy of wound‐rotor resolver under static‐, dynamic‐, and mixed‐eccentricities

Angle Tracking Observer with Improved Accuracy for Resolver-to-Digital Conversion

Demodulation of Angular Position and Velocity from Resolver Signals via Chebyshev Filter-Based Type III Phase Locked Loop

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