Sliding Mode Observer Based Voltage-Sensorless Model Predictive Power Control of PWM Rectifier Under Unbalanced Grid Condition


A sliding-mode grid voltage observer (SMGVO) is proposed and experimentally verified in this paper for voltage-sensorless operation under an unbalanced network. Fundamental positive sequence component (FPSC) and fundamental negative sequence component (FNSC) are inherently separated in the observer without employing any additional filters. Due to embedded filtering effect, high frequency chattering and harmonic ripples can be well suppressed. Additionally, DC component can be completely rejected. As a result, DC offset would not cause fundamental frequency oscillations in magnitude and frequency of the estimated FPSC and FNSC.


Owing to the predictive ability of SMGVO, one-step delay can be directly compensated using state variables in the observer. By combining estimation and prediction into one stage, the designed SMGVO turns out to be a compact solution for finite control set-model predictive power control (FCS-MPPC) without voltage sensors. Theoretical proof is derived to verify that FPSC and FNSC can be accurately estimated and separated. Experimental results obtained from a two-level PWM rectifier confirm the effectiveness of the whole control system.



Fig. 1. Control diagram of SMGVO based FCS-MPPC.



 Fig. 2. Startup responses with 50% voltage dip in phase A. (a) Actual grid voltages, currents and estimated voltages; (b) comparison between estimated voltages from SMGVO and calculated voltages from DSOGI.

Fig. 3. Operation from balanced condition to unbalanced condition. (a) Actual grid voltages, currents and estimated voltages; (b) comparison with usogi p and usogi n calculated from actual voltage by DSOGI.

Fig. 4. Dynamic responses when Pref steps from 600 W to 1000 W.

Fig. 5. Steady state responses with 1.5 V DC component and 50% AC voltage dip in phase A.

Fig. 6. Average switching frequency fsw when Pref = 1 kW.

Fig. 7. Spectrum analysis of (a) grid voltage, (b) ^up and (b) ^un under unbalanced and distorted grid conditions.

Fig. 8. Estimated grid frequency with sudden frequency step change of +10 Hz under unbalanced and distorted grid conditions.


A SMGVO is designed and experimentally verified in this paper. It has the following properties: 1) inherent separation of FPSC and FNSC without utilizing any filters; 2) no high frequency chattering; 3) satisfactory DC component rejection; 4) comparable performance with DSOGI based sequence separation using measured voltage; 5) predictive ability to compensate one-step delay in predictive control. FCS-MPPC is implemented based on SMGVO and tested on a two-level PWM rectifier to verify the effectiveness of the control system. Experimental results show that FPSC and FNSC can be accurately estimated and separated. The dynamic performance of SMGVO during voltage sag is similar to that of DSOGI. The implemented voltage sensorless FCSMPPC presents fast dynamic responses which can track power reference quickly. Direct start without initial knowledge of grid voltage is possible due to fast converging rate of SMGVO and high regulation bandwidth of FCS-MPPC.


[1] Z. Zhang, H. X u, M. X u e, Z. Chen, T. Sun, R. Kennel, and C. M. Hack l, “Predictive control with novel virtual-flux estimation for back to- back power converters,” IEEE Trans. Ind. Electron., vol. 62, no. 5, pp. 2823–2834, May 2015.

[2] A. M. Ra z a l i, M. A. Rah man, G. George, and N. A. Ra him, “Analysis and design of new switching lookup table for virtual flux direct power control of grid-connected three-phase P WM AC – DC converter,” IEEE Trans. Ind. App l., vol. 51, no. 2, pp. 1189–1200, March 2015.

[3] J. K u k kola and M. H i n k k a n en, “State observer for grid-voltage sensor less control of a converter equipped with an L CL filter: Direct discrete time design,” IEEE Trans. Ind. App l., vol. 52, no. 4, pp. 3133–3145, July 2016.

[4] H.-S. Song, I.-W. Jo o, and K. Nam, “Source voltage sensor less estimation scheme for P WM rectifiers under unbalanced conditions,” IEEE Trans. Ind. Electron., vol. 50, no. 6, pp. 1238–1245, Dec 2003.

[5] K. H. Ahmed, A. M. Mas sou d, S. J. Fin n e y, and B. W. Williams, “Sensor less current control of three-phase invert er based distributed generation,” IEEE Trans. Power Del., vol. 24, no. 2, pp. 919–929, April 2009.

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