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Wednesday, June 5, 2024

Power Quality Enhancement Using Dynamic Voltage Restorer (DVR)-Based Predictive Space Vector Transformation (PSVT) With Proportional Resonant (PR)-Controller

Abstract

 In the power distribution system, the Power Quality (PQ) is disturbed by the voltage sag and swells. The Dynamic Voltage Restorer (DVR) is used to enhance various PQ problems like voltage sag, swells, and Harmonics. The previous Intrinsic Space Vector Transformation (ISVT) control techniques with DVR system, to compensate the power quality issue. It produced a steady-state error, low efficiency, and high THD. The SMES based DVR has provided excellent results in overcoming these issues. The energy is stored by DVR through a storage element, which takes alternate energy from a Solar PV cell. The Maximum Power Point Tracking (MPPT) based P&O algorithm is implemented to equalize the solar power. The Voltage Source Inverter (VSI) generates the reactive power, which has to be compensated with the help of Pulse Width Modulation (PWM) and the feedback control loop are essential to enhance the injection of reactive power to the line. Due to this reason, a proposed Predictive Space Vector Transformation (PSVT) control-based DVR is implemented. It analyzes the variation of power on the distribution side and generates the proper feedback control to the inverter systems. In the instant of voltage injection to the line with the help of DVR, the phase angle mismatch happens which is not synchronized reactive power to the grid. Due to the non-synchronization of reactive power, more harmonic distortion is generated. A Proportional Resonant (PR) controller is introduced, which is Proportional Resonant (PR) current controller. The current injected by the inverter into the grid in phase with the grid voltage maintain constant with unity power factor. The PR controller design is cascaded with a harmonic compensator to mitigate low order odd harmonic components present in the output current of VSI and minimize the total harmonic distortion (THD). The performance of the proposed is evaluated using MATLAB 2017b software.

Index Terms

DVR, predictive space vector transformation (PSVT), PR-controller, PQ, VSI, THD, MPPT

based P&O algorithm.

Proposed Circuit:


 

Figure 1. Proposed DVR control scheme.

Expected Simulation Results:


Figure 2. Load Power Stabilization Of 500watts And 1000w System waveforms in the compensation of voltage sags and harmonic distortion. (a_c) feeder 1 waveforms; (d_f) feeder 2 waveforms; (g) virtual dc-link Voltage Waveform.

 


Figure 3. Voltage And Current In-Phase Waveform.

 

Figure 4. Voltage Sag With Resistive Load.(1) Load Voltage, Grid voltage (2) dclink voltage, (3) grid voltage of source side converter, source current.

 


Figure 5. Voltage Swell With Resistive Load. (I) Load Voltage, Grid Voltage (ii): dc-link voltage (iii): grid voltage of source side converter.

 


                               Figure 6. Single Line Load Voltage Waveform With Sag/Swell compensation.

 


                                       Figure 7. Waveforms Of Shunt And Series Converter With Sag In Grid voltage.

 

 Conclusion

In this work, a DVR-PSVT based PR controller power compensation model was implemented to compensate for the grid power fluctuations. The purpose of the PSVT controller is to vary the PWM of the inverter and to use the DVR offset to generate the appropriate reactive power and maintain the power quality. The proposed PR control system includes the possibility of turning their individual resonant peaks to the grid frequency, while injecting the compensated voltage through DVR based PSVT system. The PR controller required lesser computational overhead and also not required an explicit grid voltage feed forwarder control path in DVR system. For three phase grid connected system, the PR technique compensating for both positive and negative sequence simultaneously, there is no need for synchronous reference frame. In case of PI controller, the synchronous reference frame is required to compensate the positive and negative sequence voltage. The output of the PR controller with DVR system provides better performance compared with conventional controller and the THD of the proposed system was very low. The DVR-PSVT based PR controller was compensate the voltage sag, voltage swell and reduced the THD to 1.06% at the time of reactive power compensation to the grid. The results show that the integrated DVR - PSVT based PR control technologies can maintain optimal power flow in the power supply system and power distribution system. This makes it an attractive solution to deal with voltage sag, swell and Harmonic of PQ problems. On the other hand, the proposed PR controller topology presents many development opportunities for future research, including

1. The implementation of a prototype for experimental tests.

2. Interfacing the Grid with line the compensation of voltage sag device which produced good quality of power in hybrid micro-grids.

3. Improving the reliability of micro-grid.

References

[1] E. Hossain, M. R. Tur, S. Padmanaban, S. Ay, and I. Khan, ``Analysis and mitigation of power quality issues in distributed generation systems using custom power devices,'' IEEE Access, vol. 6, pp. 1681616833, 2018.

[2] M. Pradhan and M. K. Mishra, ``Dual P��Q theory based energy-optimized dynamic voltage restorer for power quality improvement in a distribution system,'' IEEE Trans. Ind. Electron., vol. 66, no. 4, pp. 29462955, Jun. 2018.

[3] S. Patra, N. Kishor, S. R. Mohanty, and P. K. Ray, ``Power quality assessment in 3- grid connected pv system with single and dual stage circuits,'' Int. J. Electr. Power Energy Syst., vol. 75, pp. 275288, Feb. 2016.

[4] O. P. Mahela, A. G. Shaik, N. Gupta, M. Khosravy, B. Khan, H. H. Alhelou, and S. Padmanaban, ``Recognition of power quality issues associated with grid integrated solar photovoltaic plant in experimental framework,'' IEEE Syst. J., vol. 15, no. 3, pp. 37403748, Sep. 2021.

[5] A. A. Alkahtani, S. T. Y. Alfalahi, A. A. Athamneh, A. Q. Al-Shetwi, M. B. Mansor, M. A. Hannan, and V. G. Agelidis, ``Power quality in microgrids including supraharmonics: Issues, standards, and mitigations,'' IEEE Access, vol. 8, pp. 127104127122, 2020.

An Efficient Inductive Power Transfer Topology for Electric Vehicle Battery Charging

Abstract

 Recently available high-frequency power converter topologies for inductive power transfer (IPT) system utilize either zero voltage switching (ZVS) or zero current switching (ZCS) based power electronic converters while maintaining a near sinusoidal current for limited power transfer range. However, achieving ZVS or ZCS for all power switches simultaneously is still a challenging task in IPT systems. In this article, an improved zero-voltage zero-current switching (ZVZCS) IPT topology and its switching pattern are proposed. ZVS is achieved by optimizing the classical series compensation and additionally, an auxiliary network is employed to achieve ZCS. The proposed concept is verified by using MATLAB/Simulink based simulations for resistive and battery load. Finally, the practical viability of the proposed topology is validated by the results obtained using a laboratory prototype rated for 1.1kW, 85 kHz.An efficiency of 91.26% is achieved with ZVZCS for a full dynamic power transfer range of 20W–1.1 kW.

Index Terms

Battery chargers, dc–dc power converters, electric vehicles (EVs), inductive charging, soft switching, wireless power transmission.

Block diagram:


 

Fig. 1. General configuration of wireless battery charger topology.

Expected simulation results:

 

 


Fig. 2. ZCS turn-OFF for (a) S2 and (b) S4.

 


Fig. 3. Converter characteristics waveform in various operating modes.

 


Fig. 4. Input side characteristic of primary network.

 


Fig. 5. Output characteristic for BC application

Conclusion

 In this article, the voltage fed series compensation based ZVZCS topology and its tuning method for wireless electrical vehicle battery charger have been proposed. Suitable modifications were presented for the full-bridge dc–dc converter, and enhanced performance with a wide range of input variation is achieved. The need for a high-power processor is eliminated, which further reduces the overall cost. The theoretical analysis and modeling have been presented to obtain ZVZCS with reduced control complexity. The simulation results verified the ZVZCS condition of the proposed topology for a full load range. The offered solution produced less ripple in input/ output voltage and current while utilizing a low value of dc link, and filter capacitance values, respectively. An acceptable efficiency of 91.26% has been achieved for both battery and resistive loads.

References

 

[1] M. Granovskii, I. Dincer, and M. A. Rosen, “Economic and environmental comparison of conventional, hybrid, electric and hydrogen fuel cell vehicles,” J. Power Sources, vol. 159, no. 2, pp. 1186–1193, 2006.

[2] S. B. Peterson, J. Whitacre, and J. Apt, “The economics of using plug-in hybrid electric vehicle battery packs for grid storage,” J. Power Sources, vol. 195, no. 8, pp. 2377–2384, 2010.

[3] Y. Zhou, M. Wang, H. Hao, L. Johnson, and H. Wang, “Plug-in electric vehicle market penetration and incentives: A global review,” Mitigation Adaptation Strategies Global Change, vol. 20, no. 5, pp. 777–795, 2015.

[4] B. Nykvist and M. Nilsson, “Rapidly falling costs of battery packs for electric vehicles,” Nature Climate Change, vol. 5, no. 4, pp. 329–332, 2015.

[5] W. Zhang and C. C. Mi, “Compensation topologies of high-power wireless power transfer systems,” IEEE Trans. Veh. Technol., vol. 65, no. 6, pp. 4768–4778, Jun. 2016.

A New Technique Implemented in Synchronous Reference Frame for DVR Control Under Severe Sag and Swell Conditions

Abstract

Nowadays, power quality under the excessive implementation of power electronics devices is quite challenging issue. The compensation of non-sinusoidal; reactive and harmonic; components is the main role for power quality devices which highly depend on the robustness of the control system. Some common control systems are implemented using Synchronous Stationary Frame (DQ) theory. This paper proposes a new version of DQ control technique to control dynamic voltage restorer under severe transient voltage conditions. The power system network with the new DQ control technique is studied and analyzed under different scenarios to compensate for severe balanced and unbalanced voltage sags and swells. This new scheme is based on extraction of positive sequence components to implement the control algorithm. A mathematical model of the dynamic voltage restorer (DVR), hysteresis voltage control, converter controller model, new DQ scheme with complete system equations are carried out and verified using Simulink / MATLAB. The proposed system is validated experimentally using D Space 1104 based laboratory system. The obtained results of the proposed compensation algorithm are compared with the results obtained from the traditional DQ method. Simulation and experimental results are correlated and show effectiveness of the proposed DQ control scheme.

Index Terms

Balance and unbalanced load, dynamic voltage restorer (DVR), instantaneous space vector, synchronous stationary frame (DQ) theory, voltage sag, voltage swell.

Circuit diagram:

 


 Figure 1. Basic Circuit Of Power System With DVR.

Expected Simulation Results:


 

Figure 2. Simulation Results Of Grid Voltages, Load Voltage And DVR Voltages (Traditional DQ) Under Balanced 3' Grid Voltage Sag Of 20%.

 


 

Figure 3. Simulation Results Of Grid Voltages, Load Voltage And Dvr Voltages (Modified Dq) Under Balanced 3' Grid Voltage Sag Of 20%.


 Figure 4. Simulation Results Of Grid Voltages, Load Voltage And Dvr Voltages (Traditional Dq) Under Balanced 3' Grid Voltage Swell Of 70%.


 

 Figure 5. Simulation Results Of Grid Voltages, Load Voltage And Dvr Voltages (Modified Dq) Under Balanced 3' Grid Voltage Swell Of 70%.

 


 

Figure 6. Simulation Results Of Grid Voltages, Load Voltage And Dvr Voltages (Traditional Dq) Under Unbalanced 3' Grid Voltage Sag Of 20%.


 

Figure 7. Simulation Results Of Grid Voltages, Load Voltage And Dvr Voltages (Modified Dq) Under Unbalanced 3' Grid Voltage Sag Of 20%.


 

Figure 8. Simulation Results Of Grid Voltages, Load Voltage And Dvr Voltages (Traditional Dq) Under Unbalanced 3' Grid Voltage Swell Of 70%.


 Figure 9. Simulation Results Of Grid Voltages, Load Voltage And Dvr Voltages (Modified Dq) Under Unbalanced 3' Grid Voltage Swell Of 70%.

 

Conclusion

This paper inspects the control of DVR with modified DQ algorithm to generate reference voltage signals to control the DVR. The proposed DVR control method relies on a modified version of DQ theory with a detection method for the positive and negative sequence components. The modelled simulations are carried out in MATLAB Simulink and the results were validated with Experimental setup carried out on DSPACE 1104 module. The results are shown good correlation between simulation and experimental results. The control of modified DQ method is compared with the traditional DQ control technique under the conditions of severe sag and swell. The performance of the controllers is also compared during balanced and unbalanced situation with severe cases of sag and swell. The comparative results suggest that the new modified DQ control method shows effective in compensating voltage during severe sag swell in balance and unbalance conditions with advantages of

· Less computational effort.

· Faster response.

· Less transient oscillation in the fundamental frequency under unbalanced voltage sag and swell.

References

[1] S. Hasan, K. Muttaqi, D. Sutanto, and M. A. Rahman, ``A novel dual slope delta modulation technique for a current source inverter based dynamic voltage restorer for mitigation of voltage sags,'' IEEE Trans. Ind. Appl., vol. 57, no. 5, pp. 54375447, Sep. 2021, doi: 10.1109/TIA.2021.3089984.

[2] B. Bae, J. Jeong, J. Lee, and B. Hen, ``Novel sag detection method for lineinteractive dynamic voltage restorer,'' IEEE Trans. Power Del., vol. 25, no. 2, pp. 12101211, Apr. 2010, doi: 10.1109/TPWRD.2009.2037520.

[3] M. Vilathgamuwa, A. A. D. Ranjith, S. S. Choi, and K. J. Tseng, ``Control of energy optimized dynamic voltage restorer,'' in Proc. IECON Conf. 25th Annu. Conf. IEEE Ind. Electron. Soc., vol. 3, Dec. 1999, pp. 873878.

[4] P. Li, L. Xie, J. Han, S. Pang, and P. Li, ``New decentralized control scheme for a dynamic voltage restorer based on the elliptical trajectory compensation,'' IEEE Trans. Ind. Electron., vol. 64, no. 8, pp. 64846495, Aug. 2017, doi: 10.1109/TIE.2017.2682785.

[5] N. C. S. Sarita, S. S. Reddy, and P. Sujatha, ``Control strategies for power quality enrichment in distribution network using UPQC,'' Mater. Today, Proc., vol. 10, Feb. 2022, doi: 10.1016/j.matpr.2021.07.053.

Monday, April 22, 2024

Speed Sensorless vector controlled Synchronous Reluctance Motor drive

Abstract

 In this paper, the Model Reference Adaptive System (MRAS) based speed estimation technique is proposed which estimates the rotor speed/position in a vector controlled Synchronous Reluctance Motor (SynRM) drive to give the successful speed sensorless operation of the drive. The functional candidate chosen to build the MRAS system is the reactive power quantity ‘Q’ expressed in terms of dq quantities in voltages and currents. The advantage of using reactive power ‘Q’ as the functional candidate is that it eliminates the presence of stator resistance in the adjustable model thus making the speed estimator independent to stator resistance variations. Apart from it, the speed estimator is free from derivative and integrator terms in the adjustable model. Also, the speed estimator involves simple processing and is not hardware intensive like injection-based speed estimators available in the literature. Finally, the effectiveness of the proposed speed estimator is verified through exhaustive simulations carried out in MATLAB/SIMULINK platform.

Keywords

MRAS

Reactive Power

Sensorless

SynRM

Vector Control

 

Block diagram:



Fig. 1. Vector Control of SynRM Drive with MRAS Speed Estimator

EXPECTED SIMULATION RESULTS:

 


                                           Fig. 2. Variable speed operation including zero speed operation


 


Fig. 3. Four quadrant operations of SynRM Drive


 


Fig. 4. Speed estimation under the step change in motor speed



Fig. 5. Speed estimation under the variation in stator resistance at low speed


 


Fig. 6. Speed estimation under variation in stator resistance at low speeds in all the four quadrants of operation

Conclusion

A new speed estimator is proposed for a vector controlled SynRM drive involving reactive power as the functional candidate in constructing the MRAS reference and adjustable models. The proposed speed estimator is found to be independent of stator resistance of the machine, apart from it the speed estimator involves less signal processing and too is hardware non-intensive. The speed estimator performs well in all the four quadrants of operation and is proved by performing the MATLAB simulations. Making the proposed speed estimator totally independent of the parameters is future aspect of this research.

References

 

[1] B.K. Bose, “Modern Power Electronics and AC Drives,” Upper SaddleRiver,New Jersey: Prentice Hall PTR, 2002.

[2] Pradyumna Ranjan Ghosh , Anandarup Das , G. Bhuvaneswari, “Performance Comparison of Different Vector Control Approaches for a Synchronous Reluctance Motor Drive,” 2017 6th International Conference on Computer Applications In Electrical Engineering- Recent Advances (CERA) pp- 320-325.

[3] H Ding , Huangqiu Zhu ; Yizhou Hua, “Optimization Design of Bearingless Synchronous Reluctance Motor,” IEEE Transactions on Applied Superconductivity 2018, vol- 28 no- 3

[4] P.Vas, “Sensorless vector and Direct Torque Control, Oxford,” Oxford Science Publications, 1998

[5] A. Consoli, F. Russo ,G. Scarcella , A. Testa, Low- and Zero-Speed Sensorless Control of Synchronous Reluctance Motors,” IEEE Transaction on industry applications, vol. 35, no. 5,September/October 1999 pp 1050-1057.

 

 

 

Friday, March 15, 2024

Robust Sliding-Mode Control Design for a Voltage Regulated Quadratic Boost Converter

Abstract

A robust controller design to obtain output voltage regulation in a quadratic boost converter with high DC-gain is discussed in this paper. The proposed controller has an inner loop based on sliding mode control whose sliding surface is defined for the input inductor current. The current reference value of the sliding surface is modified by a proportional-integral (PI) compensator in an outer loop which operates over the output voltage error. The stability of the two-loop controller is proved by using the Routh-Hurwitz criterion, which determines a region in the - plane where the closed loop system is always stable. The analysis of the sliding mode-based control loop is performed by means of the equivalent control method while the outer loop compensator is derived by means of the Nyquist- based Robust Loop Shaping approach with the M-constrained Integral Gain Maximization technique (RLS-MIGO). Robustness is analyzed in depth taking into account the parameter variation related with the operation of the converter in different equilibrium points. Simulations and experimental results are presented to validate the approach for a 20 - 100 W quadratic boost converter stepping-up a low DC voltage (15 – 25 V DC) to a 400 V DC level.

Index Terms

1.      Quadratic boost converter

2.      Robust loop shaping

3.      Sliding-mode control

 

Circuit Diagram:


Fig. 1. Quadratic boost circuit configurations: a) ON-state; and b) OFF-state.

Expected Simulation Results:


Fig. 2. Transient responses to output power step disturbances in the extreme values of the converter operational range


Fig. 3. Transient response to input voltage step disturbances in the extreme values of the converter operational range.


Fig. 4. Transient response to a voltage reference step change in the extreme values of the converter operational range.

Conclusions

A complete description of a robust controller design obtaining output voltage regulation in a high DC-gain quadratic boost converter involving a sliding-mode current loop has been presented in this paper. The results show that this control scheme has a satisfactory performance regulating the output voltage in its overall operational range of output power and input voltage. The stability of the complete system has been treated as local by using the Routh-Hurwitz test constraining a stability region in the - plane which has been subsequently used as a reference to synthesize the PI compensator using the RLS-MIGO method. The stability and robustness of the overall system has been tackled by considering the possible variations in the output load or in the input voltage as parametric uncertainty. Several MATLAB simulations have been used to verify the theoretical approach and the converter expected performance when coping with important disturbances in the uncertain parameters. Moreover, experimental results using simple electronic circuits are in good agreement with the theoretical predictions and simulation results. The experiments have validated not only the high DC-gain capability of the quadratic boost converter operating with a hysteresis- based current controller but also the regulator robustness , ensured by the application of the loop shaping method in the PI synthesis. It can be concluded that the RLS-MIGO method is compatible with the sliding-mode approach providing an efficient solution to synthesize the proposed two-loop controller for a high-order topology such as the quadratic boost converter. Future works with the same converter will be devoted to the study of its possible discontinuous and critical conduction modes together with the associated design of an appropriate controller.

References

[1] F Blaabjerg, Z Chen and S B Kjaer, “Power electronics as efficient interface in dispersed power generation systems," IEEE Trans. Power Electron., vol. 19, no. 5, pp. 1184-1194, Sept. 2004.

[2] Q Li and P Wolfs, “A review of the single phase photovoltaic module integrated converter topologies with three different DC link configurations," IEEE Trans. Power Electron., vol. 3, no. 3, pp. 1320-1333, May. 2008.

[3] S Lee, P Kim and S Choi, “High step-up soft-switched converters using voltage multiplier cells,” IEEE Trans. Power Electron., vol. 28, no. 7, pp. 3379-3387, Jul. 2013.

[4] A Stupar, T Friedli, J Miniböck and J W Kolar, “Towards a 99% Efficient Three-Phase Buck-Type PFC Rectifier for 400-V DC Distribution Systems,” IEEE Trans. Power Electron., vol. 27, no. 4, pp. 1732-1744, Apr. 2012.

 [5] Rockwell Automation, “Common DC bus: Selection guide,” Publication DRIVES-SG001B-EN-P. Sep. 2005

RENEWABLE ENERGY SOURCES INTEGRATION AND CONTROL IN RAILWAY MICROGRID

ABSTRACT

 The traffic rail increase implies an increase in the electric energy consumption. Hybridizing the railway substations with hybrid energy sources based on renewable energy sources and storage units connected to a DC bus may be a solution to contribute to the partial independence of energy producers in the sector of traffic rail. A smart controlis highly recommended in order to avoid disturbing the traffic or the energy quality of railway lines. This paper proposes a reversible, self-adaptive, autonomous and intelligent distributed generator connected to the catenary thanks to the DC bus distributed control by the multi-agent system. The results analysis has shown that the proposed control architecture can be a solution to face the issues related to the traffic railway issues.

INDEX TERMS

1.      Railway microgrid

2.      Braking and tracking energy

3.      Renewable energy sources

4.      Penalty costs

5.      Multi agent system

6.      Jade

7.       MacsimJX

8.      Matlab Simulink

BLOCK DIAGRAM:


Fig. 1. HSS architecture

 EXPECTED SIMULATION RESULTS:


Fig. 2. The considered driving cycle


Fig. 3. Resultant current from tracking and braking process


Fig.4. Current generated by RES


Fig. 5. Battery DC-DC converter output current


Fig. 6. The line current


Fig. 7. Battery SOC evolution


Fig. 8. Subscribed power gain


Fig. 9. Subscribed power exceeding removal


Fig. 10. Penalty cost removal


Fig. 11. DC bus voltage evolution

CONCLUSION

 

This paper deals the DEM by MAS in the railway microgrid with HSS based on HPGS to meet the limitations of rail transportation systems in terms of energy saving. The HPGS consists of a multi-source system with decentralized energy sources with different capacities and a different generation, therefore, judicious use and integration of each element were respected. Reducing the subscribed power, eliminating the voltage drop in the line due to the acceleration and leading to the subscribed power exceeding and avoiding the voltage rise due to the deceleration by consuming the total of the regenerative energy not recovered by the other trains in the line, remain the main issues that should be taking into account while hybridizing the substation without modifying the existing architecture. Thereby, this paper meets the mentioned limitations and constraints by designing reversible, active, intelligent, self-adaptive, and autonomous DG connected to the catenary thanks to the distributed DC bus voltage control by MAS. It was shown the ability of the proposed control to reduce the subscribed power and to omit the subscribed power overrun by the RES generation and the storage system which is represented by the battery. The penalty costs related to the subscribed power exceeding and the RES intermittence and also to the acceleration and deceleration were suppressed, thanks to the simultaneous control of the battery with the generation of the RES. The results also showed the stability and continuity of the system thanks to the effectiveness of the proposed control.

REFERENCES

[1] R.R.Pecharroman and al, “Riding the Rails to DC Power Efficiency: Energy efficiency in dc-electrified metropolitan railways”, IEEE Electrification Magazine, vol. 2, No.3, pp. 32 – 38 , 2014

[2] Boudoudouh Soukaina, and Mohammed Maâroufi. "Smart control in a DC railway by Multi Agent System (MAS)." In Electrical Systems for Aircraft, Railway, Ship Propulsion and Road Vehicles & International Transportation Electrification Conference (ESARS-ITEC), International Conference on, pp. 1-6. IEEE, 2016.

[3] Hajizadeh, A., Golkar, M. A., "Intelligent power management strategy of hybrid distributed generation system", Elsevier, electrical Power and Energy systems, pp. 783-795, 2007

[4] H.Ibrahim and al “Integration of Wind Energy into Electricity Systems: Technical Challenges and Actual Solutions”, Energy proceedia, vol. 6, pp. 815_824, 2011

[5] B. Robyns and al, “Electricity production from renewables energies”, ISTE Wiley 2012.

 

Power Quality Enhancement Using Dynamic Voltage Restorer (DVR)-Based Predictive Space Vector Transformation (PSVT) With Proportional Resonant (PR)-Controller

Abstract  In the power distribution system, the Power Quality (PQ) is disturbed by the voltage sag and swells. The Dynamic Voltage Restorer ...