Document Type : Research Articles


1 Department of Electrical Engineering, Faculty of Engineering, University of Mohaghegh Ardabili, Ardabil, Iran.

2 Department of Electrical and Computer Engineering, Faculty of Engineering, University of Mohaghegh Ardabili


In the grid-tied PV inverter systems, the design of a proper power conditioning system is an important issue to ensure high-quality power injection to the grid. Among various control methods for grid-interfacing inverter with LCL filter, converter-side current feedback (CCF) method has been widely used due to its inherent resonance damping feature. Applying the CCF method requires extra attention to the delay effect of the control system. In such systems, the delay narrows stability region of resonance frequency of the CCF control method, especially, in the presence of wide variations of the grid inductance. Adequate tuning of the LCL filter and consequently the proper choice of the resonance frequency can remarkably affect the performance of the CCF control. In this paper, a tuning procedure for LCL filter has been proposed. Mathematical tuning of the Proportional Resonant (PR) controller parameters has also been included to avoid typical trial and error procedures of tuning. Simulation of the overall system also includes solar panels, maximum power point tracking algorithm, Modified-Y-Source inverter, and LCL filter to model the grid-tied PV system with the most possible details. Simulations are carried out in MATLAB/Simulink and it has been proved that the proposed control system maintains its stability against grid parameters variations.


Main Subjects

[1] S. M. Hoseini, N. Vasegh, and A. Zangeneh, “Robust 
hybrid control of output power for three-phase grid 
connected PV system,” International Journal of Industrial 
Electronics, Control and Optimization, Vol. 2, No. 4, pp. 
365-372, 2019.

[2] J. Farzaneh, R. Keypour, and A. Karsaz, “A novel fast 
maximum power point tracking for a PV system using 
hybrid PSO-ANFIS algorithm under partial shading 
conditions,” International Journal of Industrial Electronics, 
Control and Optimization, Vol. 2, No. 1, pp. 47-58, 2019.

[3] D. Sera, T. Kerekes, R. Teodorescu, and F. Blaabjerg, 
“Improved MPPT algorithms for rapidly changing 
environmental conditions,” in 12th International Power 
Electronics and Motion Control Conference, pp. 1614-1619, 

[4] W. Wu, N. Pongratananukul, W. Qiu, K. Rustom, T. 
Kasparis, and I. Batarseh, “DSP-based multiple peak power 
tracking for expandable power system,” in Eighteenth 
Annual IEEE Applied Power Electronics Conference and 
Exposition, APEC'03., pp. 525-530, 2003.
[5] X. Ruan, X. Wang, D. Pan, D. Yang, W. Li, and C. Bao, 
Control techniques for LCL-type grid-connected inverters,
Springer, 2018.

[6] H. S. H. Chung, H. Wang, F. Blaabjerg, and M. Pecht, 
Reliability of power electronic converter systems: 
Institution of Engineering and Technology, Institution of 
Engineering and Technology, 2015.

[7] F. Z. Peng, “Z-source Inverters,” Wiley Encyclopedia of 
Electrical and Electronics Engineering, pp. 1-11, 1999.

[8] F. Z. Peng, M. Shen, and Z. Qian, “Maximum boost control 
of the Z-source inverter,” IEEE Transactions on power 
electronics, Vol. 20, No. 4, pp. 833-838, 2005.

[9] Y. P. Siwakoti, P. C. Loh, F. Blaabjerg, and G. Town, “Ysource impedance network,” in 2014 IEEE Applied Power 
Electronics Conference and Exposition-APEC 2014, pp. 
3362-3366, 2014.

[10] A. Rajabi, M. Simab, and J. Aghaei, “Design of a PowerConditioning System for Trans-Z-Source Inverter to 
Connect Photovoltaic Arrays to Single-Phase Household 
Electrical Grid,” Iranian Journal of Science and 
Technology, Transactions of Electrical Engineering, vol. 
42, No. 4, pp. 393-402, 2018.

[11] [11] M. Forouzesh and A. Baghramian, “Galvanically 
isolated high gain Y-source DC–DC converters for 
dispersed power generation,” IET Power Electronics, vol. 9, 
No. 6, pp. 1192-1203, 2016.

[12] Y. P. Siwakoti, F. Blaabjerg, and P. C. Loh, “Quasi-Ysource boost dc–dc converter,” IEEE Transactions on 
Power Electronics, vol. 30, No. 12, pp. 6514-6519, 2015.
[13] I. S. C. Committee, “IEEE Standard for Interconnecting 
Distributed Resources with Electric Power Systems," IEEE 
Std, pp. 1547-2003, 2009.

[14] C. C. Gomes, A. F. Cupertino, and H. A. Pereira, “Damping
techniques for grid-connected voltage source converters 
based on LCL filter: An overview,” Renewable and Sustainable Energy Reviews, Vol. 81, pp. 116-135, 2018.

[15] A. Ghanem, M. Rashed, M. Sumner, M. A. El-sayes, and I. 
I. Mansy, “Wide frequency range active damping of LCLfiltered grid-connected converters,” The Journal of 
Engineering, Vol. 2019, No. 17, pp. 3542-3547, 2019.

[16] Y. He, X. Wang, X. Ruan, D. Pan, X. Xu, and F. Liu, 
“Capacitor-Current Proportional-Integral Positive 
Feedback Active Damping for LCL-Type Grid-Connected 
Inverter to Achieve High Robustness Against Grid 
Impedance Variation,” IEEE Transactions on Power 
Electronics, Vol. 34, No. 12, pp. 12423-12436, 2019.

[17] M. Hosseinpour and N. Rasekh, “A Single-Phase Grid-tied 
PV based Trans-Z-Source Inverter Utilizing LCL filter and 
Grid Side Current Active Damping,” Journal of Energy 
Management and Technology, Vol. 3, No. 3, pp. 67-77, 

[18] N. Rasekh, M. M. Rahimian, M. Hosseinpour, A. 
Dejamkhooy, and A. Akbarimajd, “A step by step design 
procedure of PR controller and capacitor current feedback 
active damping for a LCL-type grid-tied T-type inverter,”
in 10th International Power Electronics, Drive Systems and 
Technologies Conference (PEDSTC), pp. 612-617, 2019.
[19] M. Saleem, K.-Y. Choi, and R.-Y. Kim, “Resonance 
damping for an LCL filter type grid-connected inverter with 
active disturbance rejection control under grid impedance 
uncertainty,” International Journal of Electrical Power & 
Energy Systems, Vol. 109, pp. 444-454, 2019.
[20] Y. Tang, P. C. Loh, P. Wang, F. H. Choo, and F. Gao, 
“Exploring inherent damping characteristic of LCL-filters 
for three-phase grid-connected voltage source inverters,”
IEEE Transactions on Power Electronics, Vol. 27, No. 3, 
pp. 1433-1443, 2012.

[21] [21] T. Abeyasekera, C. M. Johnson, D. J. Atkinson, and 
M. Armstrong, “Suppression of line voltage related 
distortion in current controlled grid connected inverters,”
IEEE Transactions on Power Electronics, Vol. 21, No. 6, 
pp. 1393-1401, 2005.

[22] J. Wang, J. D. Yan, L. Jiang, and J. Zou, "Delay-dependent 
stability of single-loop controlled grid-connected inverters 
with LCL filters,” IEEE Transactions on Power Electronics, 
vol. 31, pp. 743-757, 2016.

[23] C. Bao, X. Ruan, X. Wang, W. Li, D. Pan, and K. Weng, 
“Step-by-step controller design for LCL-type gridconnected inverter with capacitor–current-feedback activedamping,” IEEE Transactions on Power Electronics, Vol. 
29, No. 3, pp. 1239-1253, 2014.

[24] M. Büyük, A. Tan, M. Tümay, and K. Ç. Bayındır, 
“Topologies, generalized designs, passive and active 
damping methods of switching ripple filters for voltage 
source inverter: A comprehensive review,” Renewable and 
Sustainable Energy Reviews, Vol. 62, pp. 46-69, 2016.

[25] M. Lu, A. Al-Durra, S. Muyeen, S. Leng, P. C. Loh, and F. 
Blaabjerg, “Benchmarking of Stability and Robustness 
Against Grid Impedance Variation for LCL-Filtered GridInterfacing Inverters,” IEEE Transactions on Power 
Electronics, vol. 33, No. 10, pp. 9033-9046, 2018.

[26] M. Sanatkar-Chayjani and M. Monfared, “Stability analysis 
and robust design of LCL with multituned traps filter for 
grid-connected converters,” IEEE Transactions on 
Industrial Electronics, vol. 63, No. 11, pp. 6823-6834, 2016.

[27] T. Chen, C.-K. Lee, and S. R. Hui, “A General Design 
Procedure for Multi-Parallel Modular Grid-Tied Inverters 
System to Prevent Common and Interactive Instability,”
IEEE Transactions on Power Electronics, Vol. 34, No. 7, pp. 6025-6030, 2019.

[28] M. Hosseinpour and A. Dejamkhooy, “Control and power 
sharing among parallel three‐phase three‐wire and 
three‐phase four‐wire inverters in the presence of 
unbalanced and harmonic loads,” IEEJ Transactions on 
Electrical and Electronic Engineering, Vol. 13, No. 7, pp. 
1027-1033, 2018.

[29] M. Hosseinpour, M. Mohamadian, and A. Yazdian Varjani,
“Design and analysis of the droop-controlled parallel fourleg inverters to share unbalanced and nonlinear loads,”
Przegląd Elektrotechniczny, vol. 90, no. 1, vol. 105-110, 

[30] Y. Ren and J. Fang, “Current-sensing resistor design to 
include current derivative in PWM H-bridge unipolar 
switching power amplifiers for magnetic bearings,” IEEE 
Transactions on Industrial Electronics, Vol. 59, No. 12, pp. 
4590-4600, 2011.

[31] X. Zhang, J. W. Spencer, and J. M. Guerrero, “Small-signal 
modeling of digitally controlled grid-connected inverters 
with LCL filters,” IEEE Transactions on Industrial 
Electronics, Vol. 60, No. 9, pp. 3752-3765, 2012.

[32] D. M. Van de Sype, K. De Gusseme, F. M. De Belie, A. P. 
Van den Bossche, and J. A. Melkebeek, “Small-signal zdomain analysis of digitally controlled converters,” IEEE 
Transactions on Power Electronics, Vol. 21, No. 2, pp. 470-
478, 2006.

[33] D. G. Holmes, “A general analytical method for 
determining the theoretical harmonic components of carrier 
based PWM strategies,” in Conference Record of 1998 
IEEE Industry Applications Conference. Thirty-Third IAS 
Annual Meeting, pp. 1207-1214, 1998.

[34] M. Liserre, F. Blaabjerg, and A. Dell’Aquila, “Step-by-step 
design procedure for a grid-connected three-phase PWM 
voltage source converter,” International journal of 
electronics, Vol. 91, No. 8, pp. 445-460, 2004.

[35] M. Liserre, F. Blaabjerg, and S. Hansen, “Design and 
control of an LCL-filter-based three-phase active rectifier,”
IEEE Transactions on Industry Applications, vol. 41, No. 5, 
pp. 1281-1291, 2005.

[36] N. Noroozi and H. Gholizade Narm, “Direct power control 
of an under-damped grid connected boost inverter,”
International Journal of Industrial Electronics, Control and 
Optimization, Vol. 2, No. 1, pp. 17-24, 2019.