Control of a Three-Phase Power Converter Connected to Unbalanced Power Grid in a Non-Cartesian Oblique Frame

ABSTRACT:

The paper presents a new approach to positive and negative sequence current vector control of a grid connected three-phase three-wire power electronic converter operating under grid voltage imbalance conditions. The concept utilizes representation of unbalanced converter current in the new coordinates frame in which the current vector components are constant. The nonlinear trigonometric transformation of two-dimensional current vector components from the stationary frame to the new frame is found on-line depending on the reference current asymmetry. The presented concept of new coordinates utilization allows implementation of proportional-integral terms as current regulators without the use of resonant terms and without the use of the measured current symmetrical sequences decomposition. The paper presents the theoretical approach, simulation results, as well as laboratory tests results.

KEYWORDS:

 

1.      AC–DC power conversion

2.      Current control

3.      Clarke’s transformation

4.       Park’s transformation

SOFTWARE: MATLAB/SIMULINK

CIRCUIT DIAGRAM:

 

Fig. 1. Scheme of the power circuit of a three-phase power electronic converter operating with unbalanced grid voltage.

 EXPECTED SIMULATION RESULTS:

 

Fig. 2. Simulation results showing the new trigonometric transformation properties in the case in which the asymmetry factor is out of the dead-zone.

 

Fig. 3. Simulation results showing the new trigonometric transformation properties in the case in which the asymmetry factor crosses the dead-zone

 

Fig. 4. Simulation results showing the reference vector hodograph in the case in which the asymmetry factor crosses the dead-zone.

 

Fig. 5. Simulation results presenting three-phase grid voltage (a), and three-phase unbalanced current for DSFR control with notch filters (b), DSFR control with positive and negative sequence decoupling (c), oscillatory terms based current controllers (d), and proposed current control method (e) during reference step change of the converter current imbalance.

Fig. 6. Simulation results presenting operation of the grid power converter with the new transformations application for the case of grid voltage imbalance compensation and fundamental positive sequence component sag compensation (0-0.05s – initial state, 0.05-0.3s – no load operation with imbalance and sag compensation, 0.3-0.5s – imbalance and sag compensation with simultaneous dc bus feeding from external source by 26kW of power (inverter operation mode).

 

CONCLUSION:

 The paper presents a new transformation of unbalanced three-phase signals to the oblique non-Cartesian frame in which the obtained signals in the new frame have equal amplitudes and are shifted by despite three-phase signals imbalance. Thus in a new frame the vector is seen as balanced. Transformed next to the rotating frame using Park’s transformation the vector components are constant. The proposed transformation from stationary to new frame and next from to the frame was used in the voltage oriented vector control of a three-phase grid converter.

The new transformation parameters can be relatively simply found based on reference positive and negative sequence current vector components, making it possible to obtain any imbalance of converter current depending on the outer control loops referencing current vector components.

The method has a limitation in a narrow range of current asymmetries, where the magnitude of positive sequence vector is close to the magnitude of the negative sequence vector, therefore a dead-zone is implemented to avoid converter operation in this narrow range. Simulation and experimental results show that the method works in a stable manner even when crossing the dead-zone. Simulation and experimental tests were done with disabled outer control loops of dc and ac voltage (so with arbitrarily referenced positive and negative sequence components) and with enabled outer control loops. In both cases the results are satisfactory.

REFERENCES:

[1] VDE–AR–N 4120: Technical requirements for the connection and operation of customer installations to the high–voltage network VDE, Jan. 2015, Germany.

[2] M. M. Baggu, B. H. Chowdhury and J. W. Kimball, "Comparison of Advanced Control Techniques for Grid Side Converter of Doubly-Fed Induction Generator Back-to-Back Converters to Improve Power Quality Performance During Unbalanced Voltage Dips," IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 3, no. 2, June 2015, pp. 516-524.

[3] W. Liu, F. Blaabjerg, D. Zhou and S. Chou, "Modified Instantaneous Power Control with Phase Compensation and Current-limited Function under Unbalanced Grid Faults," IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 9, no. 3, June 2021, pp. 2896 – 2906.

[4] Y. Du, X. Lu, H. Tu, J. Wang and S. Lukic, "Dynamic Microgrids With Self-Organized Grid-Forming Inverters in Unbalanced Distribution Feeders," IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 8, no. 2, June 2020, pp. 1097-1107.

[5] A. Mora, R. Cárdenas, M. Urrutia, M. Espinoza and M. Díaz, "A Vector Control Strategy to Eliminate Active Power Oscillations in Four-Leg Grid-Connected Converters Under Unbalanced Voltages," IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 8, no. 2, June 2020, pp. 1728-1738.

 

 

Bidirectional Harmonic Current Control of Brushless Doubly Fed Motor Drive System Based on a Fractional Unidirectional Converter Under a Weak Grid

ABSTRACT:

The brushless doubly fed machine (BDFM) drive system based on a fractional unidirectional converter is a promising low-cost variable-speed drive system, which shows great potential in applications of driving fans and pumps. However, the harmonic current generated by a diode rectifier can flow into the machine and the grid under a weak grid, which will cause a 6th-order frequency torque ripple and lead to voltage distortion. A steady equivalent circuit considering the uncontrolled rectifier and the grid impedance is built firstly to study the harmonic distribution characteristics. To eliminate the influence of harmonic currents, the harmonic equivalent impedance of the machine system should be regulated to change the harmonic distribution characteristics. This paper improves the conventional control method through adding a harmonic control loop to prevent harmonic currents from being injected into the machine or the grid, which is then applied in the fundamental synchronous frame. Two indirect parameters are selected to realize the two control targets. Afterwards, the influence of the control system on the harmonic equivalent impedance of the machine system under the conventional method and the proposed method are compared. Finally, experimental results obtained from a 30 kW BDFM prototype verify the proposed method.

KEYWORDS:

1.      Brushless doubly fed machine

2.      Fractional unidirectional converter

3.      Harmonic current control

4.      Weak grid

SOFTWARE: MATLAB/SIMULINK

SCHEMATIC DIAGRAM:

 

 Figure 1. The Structure Of The BDFM Drive System With A Unidirectional Converter.

EXPECTED SIMULATION RESULTS:

 

Figure 2. Simulation Results Of The Msogi-Fll With An 11 Kw Diode Rectifier Load Switched In The Weak Grid.

 

  

Figure 3. Pw Currents And The Grid Current Sensitivity To The Diode Rectifier Current In Proposed Control Structure: (A) Magnitude Frequency Response Of G1irecpir ; (B) Magnitude Frequency Response Of G2irecpir .

 

Figure 4. Bode Diagrams Of The Open-Loop Transfer Function In (28) With Different Kr : (A) Target I; (B) Target Ii.

 

Figure 5. The Maximum Cw Voltages Of The Two Control Targets At Different Speeds.

 

CONCLUSION:

The BDFM variable speed drive system based on a fractional unidirectional converter has wide application prospects for loads that require only limited range speed regulation. To solve the influence of harmonics on system, this paper studies the harmonic characteristics through a new equivalent circuit and proposes a direct harmonic control strategy. It is shown that:

1) The harmonic current contents in the machine and the grid are determined by the grid harmonic impedance and the harmonic equivalent impedance of the machine system. Calculation results agree with the experiment data;

2) The nature of the bidirectional harmonic currents control between the weak grid and the machine is changing the harmonic distribution characteristics of the BDFM driving sys- tem shown in Fig. 1, while the conventional control method can hardly realize this target;

3) The torque ripples and the harmonic currents injecting into the grid can be controlled indirectly through iph and uph;

4) The proposed control method can regulate the harmonic equivalent impedance of the machine system effectively, which commendably realizes the bidirectional harmonic cur- rent control. The equivalent circuit structure and control method pro- posed in this paper are also suitable for distorted grid with a large number of nonlinear loads. In this operation environment, a single BDFM control system is insufficient to improve the grid, which will be studied in the future.

 REFERENCES:

[1] X. Chen and X.Wang, ``Proximate standing wave feature of magnetic field and its influence on the performance of wound rotor brushless doubly- fed machine,'' IEEE Trans. Energy Convers., vol. 32, no. 1, pp. 296_308, Mar. 2017.

[2] J. Su, Y. Chen, D. Zhang, and Y. Kang, ``Stand-alone brushless doubly fed generation control system with feedforward parameters identification,'' IEEE Trans. Ind. Informat., vol. 15, no. 11, pp. 6011_6022, Nov. 2019.

[3] J. Chen, X. Wang, T. Zhao, Z. Li, M. Kong, and P. Nie, ``Application of brushless doubly-fed machine system in hydropower generation,'' in Proc. 22nd Int. Conf. Electr. Mach. Syst. (ICEMS), Harbin, China, Aug. 2019, pp. 1_4.

[4] T. D. Strous, H. Polinder, and J. A. Ferreira, ``Brushless doubly-fed induction machines for wind turbines: Developments and research challenges,'' IET Electr. Power Appl., vol. 11, no. 6, pp. 991_1000, Jul. 2017.

[5] M. Kong, X. Wang, Z. Li, and P. Nie, ``Asynchronous operation characteristics and soft-starting method for the brushless doubly-fed motor,'' IET Electr. Power Appl., vol. 11, no. 7, pp. 1276_1283, Aug. 2017.

Assessment and Mitigation of Dynamic Instabilities in Single-Stage Grid-Connected Photovoltaic Systems With Reduced DC-Link Capacitance

ABSTRACT:

Single-stage utility-scale photovoltaic (PV) systems are usually interfaced with the host grid via a centralized voltage-source converter (VSC). Recently, and due to their reliability, the dc-link film capacitors are favored over electrolytic types in grid-connected applications. However, the capacitance per unit volume of film capacitors is significantly smaller than electrolytic capacitors. The overall system stability might be compromised by the reduction of the dc-link capacitance, particularly in PV systems that have a dynamic resistance that varies with operating conditions. Using a detailed small-signal model of the grid-connected PV system, it is shown in this paper that the reduction of the dc-link capacitance interferes with the dynamic resistance of the PV array, which eventually leads to instabilities. The minimum dc-link capacitance that preserves the overall system stability is determined. A simple and effective active compensator is developed to mitigate the instabilities with the reduced dc-link capacitance. Detailed time-domain simulations are presented to validate the analytical results and show the proposed compensator's effectiveness in preserving the system stability.

KEYWORDS:

1.      Active damping

2.      DC-AC power converters

3.      DC-link stabilization

4.      Grid-connected inverters photovoltaic

5.      Single-stage

6.      Small-signal analysis

SOFTWARE: MATLAB/SIMULINK

SCHEMATIC DIAGRAM:

 

Figure 1. Vector Control Schematic Of The Grid-Connected Vsc.

EXPECTED SIMULATION RESULTS:

Figure 2. Uncompensated System Response Operating In The Cvr, Mpp, And Ccr At T D 0 􀀀 3 S, T D 3 􀀀 4 S, And T D 4 􀀀 7 S, Respectively, As Cdc Decreases From 1 P:U: To 0:6 P:U:

 

Figure 3. Influence Of Added Active Compensation Loop At T D 1:3s. Under The Ccr Operation.

 

Figure 4. Compensated System Response Operating In The Cvr, Mpp, And Ccr At T D 0 􀀀 3 S, T D 3 􀀀 4 S, And T D 4 􀀀 7 S, Respectively, As Cdc Decreases From 1 P:U: To 0:6 P:U:

 

Figure 5. Compensated And Uncompensated Dc-Link Voltage Response To A Single-Phase Ground Fault At T D 1:5 S For 5 Cycles. (A) Under The Ccr And Cdc D 0:6p:U: (B) At Mpp And Cdc D 0:6p:U:

 

Figure 6. Compensated And Uncompensated Dc-Link Voltage Responses At Cdc D 0:6p:U: Due To The Dc Cable Influence.

Figure 7. Compensated And Uncompensated Dc-Link Voltage Responses At Cdc D 1p:U:

 

CONCLUSION:

This paper has introduced comprehensive modeling and control of the single-stage grid-connected PV system. The dynamic resistance of the PV arrays is analyzed and defined under different operating regions. It is found that reduced dc-link capacitance affects the dynamic stability of the overall system due to interactions with the dynamic resistance of the PV array. As a result, a new and simple compensator is proposed to stabilize the system with a reduced dc-link capacitance. The small-signal stability analysis of the overall system is performed under different operating conditions. The proposed compensators have the following advantages: 1) it is simple yet effective and can be easily designed using linear analysis tools, 2) it does not affect the steady-state operation of the VSC grid-connected PV system, 3) it improves the damping performance of the dc-link voltage and provides a robust and stable performance at different operating conditions of the PV system, and 4) it facilitates successful low voltage ride-through at different operating conditions.

REFERENCES:

[1] International Renewable Energy Agency. (Mar. 2019). Renewable Capac- ity Statistics. [Online]. Available: https://www.irena.org/-/media/Files/  IRENA/Agency/Publication/2019/Mar/RE_capacity_highlights_2019.pdf

[2] B. Karanayil, V. G. Agelidis, and J. Pou, ``Performance evaluation of three-phase grid-connected photovoltaic inverters using electrolytic or polypropylene _lm capacitors,'' IEEE Trans. Sustain. Energy, vol. 5, no. 4, pp. 1297_1306, Oct. 2014.

[3] 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, Sep. 2004.

[4] A. Yazdani, A. R. Di Fazio, H. Ghoddami, M. Russo, M. Kazerani, J. Jatskevich, K. Strunz, S. Leva, and J. A. Martinez, ``Modeling guidelines and a benchmark for power system simulation studies of three-phase single-stage photovoltaic systems,'' IEEE Trans. Power Del., vol. 26, no. 2, pp. 1247_1264, Apr. 2011.

[5] H. Wang and F. Blaabjerg, ``Reliability of capacitors for DC-link applications in power electronic converters_An overview,'' IEEE Trans. Ind. Appl., vol. 50, no. 5, pp. 3569_3578, Oct. 2014.

Control of a Three-Phase Power Converter Connected to Unbalanced Power Grid in a Non-Cartesian Oblique Frame

ABSTRACT:

The paper presents a new approach to positive and negative sequence current vector control of a grid connected three-phase three-wire power electronic converter operating under grid voltage imbalance conditions. The concept utilizes representation of unbalanced converter current in the new coordinates frame in which the current vector components are constant. The nonlinear trigonometric transformation of two-dimensional current vector components from the stationary frame to the new frame is found on-line depending on the reference current asymmetry. The presented concept of new coordinates utilization allows implementation of proportional-integral terms as current regulators without the use of resonant terms and without the use of the measured current symmetrical sequences decomposition. The paper presents the theoretical approach, simulation results, as well as laboratory tests results.

KEYWORDS:

1.      AC–DC power conversion

2.      Current control

3.      Clarke’s transformation

4.       Park’s transformation

SOFTWARE: MATLAB/SIMULINK

 BLOCK DIAGRAM:

 

 

Fig. 1. Scheme of the power circuit of a three-phase power electronic converter operating with unbalanced grid voltage.

 EXPECTED SIMULATION RESULTS:

 

Fig. 2. Simulation results showing the new trigonometric transformation properties in the case in which the asymmetry factor is out of the dead-zone.

 

Fig. 3. Simulation results showing the new trigonometric transformation properties in the case in which the asymmetry factor crosses the dead-zone

 

Fig. 4. Simulation results showing the reference vector hodograph in the case in which the asymmetry factor crosses the dead-zone.

 

Fig. 5. Simulation results presenting three-phase grid voltage (a), and three-phase unbalanced current for DSFR control with notch filters (b), DSFR control with positive and negative sequence decoupling (c), oscillatory terms based current controllers (d), and proposed current control method (e) during reference step change of the converter current imbalance.

Fig. 6. Simulation results presenting operation of the grid power converter with the new transformations application for the case of grid voltage imbalance compensation and fundamental positive sequence component sag compensation (0-0.05s – initial state, 0.05-0.3s – no load operation with imbalance and sag compensation, 0.3-0.5s – imbalance and sag compensation with simultaneous dc bus feeding from external source by 26kW of power (inverter operation mode).

 CONCLUSION:

The paper presents a new transformation of unbalanced three-phase signals to the oblique non-Cartesian frame in which the obtained signals in the new frame have equal amplitudes and are shifted by despite three-phase signals imbalance. Thus in a new frame the vector is seen as balanced. Transformed next to the rotating frame using Park’s transformation the vector components are constant. The proposed transformation from stationary to new frame and next from to the frame was used in the voltage oriented vector control of a three-phase grid converter.

The new transformation parameters can be relatively simply found based on reference positive and negative sequence current vector components, making it possible to obtain any imbalance of converter current depending on the outer control loops referencing current vector components.

The method has a limitation in a narrow range of current asymmetries, where the magnitude of positive sequence vector is close to the magnitude of the negative sequence vector, therefore a dead-zone is implemented to avoid converter operation in this narrow range. Simulation and experimental results show that the method works in a stable manner even when crossing the dead-zone. Simulation and experimental tests were done with disabled outer control loops of dc and ac voltage (so with arbitrarily referenced positive and negative sequence components) and with enabled outer control loops. In both cases the results are satisfactory.

REFERENCES:

[1] VDE–AR–N 4120: Technical requirements for the connection and operation of customer installations to the high–voltage network VDE, Jan. 2015, Germany.

[2] M. M. Baggu, B. H. Chowdhury and J. W. Kimball, "Comparison of Advanced Control Techniques for Grid Side Converter of Doubly-Fed Induction Generator Back-to-Back Converters to Improve Power Quality Performance During Unbalanced Voltage Dips," IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 3, no. 2, June 2015, pp. 516-524.

[3] W. Liu, F. Blaabjerg, D. Zhou and S. Chou, "Modified Instantaneous Power Control with Phase Compensation and Current-limited Function under Unbalanced Grid Faults," IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 9, no. 3, June 2021, pp. 2896 – 2906.

[4] Y. Du, X. Lu, H. Tu, J. Wang and S. Lukic, "Dynamic Microgrids With Self-Organized Grid-Forming Inverters in Unbalanced Distribution Feeders," IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 8, no. 2, June 2020, pp. 1097-1107.

[5] A. Mora, R. Cárdenas, M. Urrutia, M. Espinoza and M. Díaz, "A Vector Control Strategy to Eliminate Active Power Oscillations in Four-Leg Grid-Connected Converters Under Unbalanced Voltages," IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 8, no. 2, June 2020, pp. 1728-1738.

 

 

Analysis of Fractional Order Sliding Mode Control in a D-STATCOM Integrated Power Distribution System

 ABSTRACT:

At present, the disturbances like the voltage fluctuations, resulting from the grid's complexities and unbalanced load conditions, create severe power quality concerns like total harmonic distortion (THD) and voltage unbalance factor (VUF) of the grid voltage. Though the custom power devices such as distribution-static compensators (D-STATCOMs) improve these power quality concerns, however, the accompanying controller plays the substantial role. Therefore, this paper proposes a fractional-order sliding mode control (FOSMC) for a D-STATCOM to compensate the low power distribution system by injecting/absorbing a specific extent of the reactive power under disturbances. FOSMC is a non-linear robust control in which the sliding surface is designed by using the Riemann-Liouville (RL) function and the chattering phenomenon is minimized by using the exponential reaching law. The stability of FOSMC is evidenced by employing the Lyapunov stability criteria. Moreover, the performance of the proposed FOSMC is further accessed while doing its parametric variations. The complete system is demonstrated with a model of 400V, 180kVA radial distributor along with D-STATCOM under two test scenarios in MATLAB/Simulink environment. The results of the proposed controller are compared with the fixed frequency sliding mode control (FFSMC) and conventional proportional-integral (PI) control. The results validate the superiority of the proposed controller in terms of rapid tracking, fast convergence, and overall damping with very low THD and VUF.

 KEYWORDS:

1.      Power quality

2.      Custom power devices

3.      Distribution static compensator

4.      Fractional order

5.      Sliding mode control

6.      Total harmonic distortion

7.      Voltage unbalance factor

SOFTWARE: MATLAB/SIMULINK

SCHEMATIC DIAGRAM:

Figure 1. Simplified Model Of D-Statcom Configuration.

 EXPECTED SIMULATION RESULTS:

Figure 2. (A) Three-Phase Voltage At Lv Ac Bus Under Voltage Sag/Swell Of Main Grid (B) Rms Voltage At Lv Ac Bus Under Voltage Sag/Swell Of Main Grid (C) Load Active And Reactive Power Under Voltage Sag/Swell Of

Main Grid.

Figure 3. (A) Three-Phase Voltage At Lv Ac Bus Under Voltage Sag/Swell Of Main Grid With D-Statcom While Employing Pi Control (B) Rms Voltage At Lv Ac Bus Under Voltage Sag/Swell Of Main Grid With D-Statcom While Employing Pi Control (C) Three-Phase Voltage At Lv Ac Bus Under Voltage Sag/Swell Of Main Grid With D-Statcom While Employing Ffsmc (D) Rms Voltage At Lv Ac Bus Under Voltage Sag/Swell Of Main Grid With D-Statcom While Employing Ffsmc (E) Three-Phase Voltage At Lv Ac Bus Under Voltage Sag/Swell Of Main Grid With D-Statcom While Employing Fosmc (F) Rms Voltage At Lv Ac Bus Under Voltage Sag/Swell Of Main Grid With D-Statcom While Employing Fosmc.

Figure 4. (A) Load Active And Reactive Power Under Voltage Sag/Swell With D-Statcom While Employing Pi Control (B) Load Active And Reactive Power Under Voltage Sag/Swell With D-Statcom While Employing Ffsmc (C) Load Active And Reactive Power Under Voltage Sag/Swell With D-Statcom While Employing Fosmc.

 

Figure 5. (A) Injected/Absorbed Reactive Power By D-Statcom Under Voltage Sag/Swell While Employing Pi Control (B) Injected/Absorbed Reactive Power By D-Statcom Under Voltage Sag/Swell While Employing Ffsmc.

 

Figure 6. (A) Injected/Absorbed Reactive Power By D-Statcom Under Voltage Sag/Swell While Employing Fosmc With _ D 0:2 And Kd , Kq D 5 _ 106 (B) Injected/Absorbed Reactive Power By D-Statcom Under Voltage Sag/Swell While Employing Fosmc With _ D 0:5 And Kd ; Kq D 5 _ 106 (C) Injected/Absorbed Reactive Power By D-Statcom Under Voltage Sag/Swell While Employing Fosmc With _ D 0:8 And Kd , Kq D 5 _ 106 (D) Injected/Absorbed Reactive Power By D-Statcom Under Voltage Sag/Swell While Employing Fosmc With _ D 0:5 And Kd , Kq D 3 _ 104:

CONCLUSION:

In this paper, the authors have proposed a FOSMC based DSTATCOM to compensate the low power distribution system under disturbances such as voltage sag/swell and unbalanced load conditions. Besides, the performance of the FOSMC under its parametric variations is discussed as well. The complete system is demonstrated with a model of 400V, 180kVA radial distributor along with D-STATCOM under two test scenarios in MATLAB/Simulink environment. In the first test scenario, the grid transients (voltage sag/swell) are considered at the LV AC bus. Likewise, in the second test scenario, the unbalanced load conditions are considered at the LV AC bus. D-STATCOM sustains the voltage at LV AC bus by injecting/absorbing a certain extent of reactive power under voltage sag/swell and unbalanced load conditions. The results of the proposed controller are compared with fixed frequency sliding mode control (FFSMC) and conventional proportional-integral (PI) control. The results validate the superiority of the proposed controller in terms of rapid tracking, fast convergence, and overall damping with very low THD, and VUF. In the first test scenario, the voltage THD of proposed FOSMC during voltage sag/swell results in 0.52% in contrast to FFSMC and PI control which have THD of 0.84% and 2.17% respectively. In the second test scenario, the voltage THD of proposed FOSMC during unbalanced load conditions results in 0.97% in contrast to FFSMC and PI control which have THD of 1.96% and 3.63%. Likewise, the VUF under unbalanced load conditions with proposed FOSMC is 0.0014% in contrast to FFSMC and PI control which have VUF of 0.02% and 0.71%. In terms of assessment with existing SMC schemes, the proposed FOSMC has a very high response time, very high accuracy, very high robustness, lowest chattering along with low THD and VUF. The proposed model could be realized on the hardware platform for real-time verification purposes in future applications.

REFERENCES:

[1] A. Q. Al-Shetwi, M. A. Hannan, K. P. Jern, A. A. Alkahtani, and A. E. P. Abas, ``Power quality assessment of grid-connected PV system in compliance with the recent integration requirements,'' Electronics, vol. 9, no. 2, p. 366, Feb. 2020.

[2] A. D. J. C. Leal, C. L. T. Rodríguez, and F. Santamaria, ``Comparative of power calculation methods for single-phase systems under sinusoidal and non-sinusoidal operation,'' Energies, vol. 13, no. 17, p. 4322, Aug. 2020.

[3] E. Hossain, M. R. Tür, 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. 16816_16833, 2018.

[4] F. R. Islam, K. Prakash, K. A. Mamun, A. Lallu, and H. R. Pota, ``Aromatic network: A novel structure for power distribution system,'' IEEE Access, vol. 5, pp. 25236_25257, 2017.

[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. 127104_127122, 2020.