LPV Control of Current Source Inverter Synchronized with the Grid



current source inverter, lpv control, power system harmonics


Power inverters are widely used in grid connected applications, specially with the increasing use of renewable energies, to improve power quality and increase efficiency. However some parameter associated to the grid and/or the inverters, such as the grid frequency, needs to be known or properly estimated. This estimation introduces an uncertainty in the system and suffer transients due to the estimator. Linear Parameter Varying (LPV) control can be used to account for those uncertainties. This paper presents a feedback control based on a LPV control law to improve the power quality of a grid connected Current Source Inverter (CSI), significantly reducing the total harmonic distortion (THD) of the grid generator current. A linear model of the interconnection is presented, where the frequency of the grid is assumed variable being estimated together with its phase through a Phase Locked Loop (PLL). The LPV control law is implemented through state feedback achieving both, harmonic suppression and reference tracking, using the estimation of the frequency of the PLL. Implicitly, this allows for the estimation of the magnitude and phase of the harmonic distortion canceling it up to the CSI current limit. An analytic proof of the filtering guarantees of the method is presented along with simulation results that show the practical viability of this technique. It is shown that this control approach is capable of an appealing adaptation to changes in the frequency of the power grid with a low computational burden being able to also cope with disturbances in the estimation of the frequency due to the PLL.


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Author Biographies

Alejandro Ghersin, ITBA/CONICET/FIUBA

Alejandro S. Ghersin (M’09) received the Electronic Engineer degree (2000) and the Ph.D. degree (2009) from FIUBA. He worked as a member of the engineering staff at CONAE (1999–2006) and for the Departamento de Ciencia y Tecnologia of the Universidad Nacional de Quilmes (2007–2008) as Adjoint Professor. He joined the Departamento de Ingenieria Electronica at the Instituto Tecnologico de Buenos Aires as full professor in 2009. After finishing his doctoral studies, he was admitted to CONICET. He has consulted for CONAE in the field of spacecraft control and also in the field of control applied to human life support (mechanical ventilation). His present line of work is in the field of control systems applied to mobile robotics and power electronics.

Pablo Cossutta, Instituto Tecnologico de Buenos Aires (ITBA), Av. E. Madero 399, 1106, Buenos Aries, Argentina

Pablo Cossutta (M’12) received the Electronics Engineer (Hons.) and Specialist on Medical Equipment degrees from the Instituto Tecnológico de Buenos Aires (ITBA), Buenos Aires, Argentina, in 2001 and 2004, respectively.
In 2019 he received the doctoral degree in engineering from ITBA as well. As Associate Professor at ITBA, he is involved in teaching and research on power and industrial electronics.

Miguel Pablo Aguirre, Instituto Tecnologico de Buenos Aires (ITBA), Av. E. Madero 399, 1106, Buenos Aries, Argentina

Miguel Pablo Aguirre (M’10–SM’16) received the Electronics Engineer degree from the Instituto Tecnológico de Buenos Aires (ITBA), Buenos Aires, Argentina, in 1995, and the Ph.D. degree from the Universidad Nacional de La Plata, La Plata, Argentina, in 2013. He is currently the Head of the Department of Electrical and Electronics Engineering, ITBA, where he is involved in teaching and research on power electronics, power quality, and renewable energies as a Full Professor.


R. A. Rana, S. A. Patel, A. Muthusamy, C. w. Lee, and H.-J. Kim, “Review of multilevel voltage source inverter topologies and analysis of harmonics distortions in fc-mli,” Electronics, vol. 8, no. 11, 2019. [Online]. Available: https://www.mdpi.com/2079-9292/8/11/1329

P. Cossutta, “El convertidor multinivel fuente de corriente modular y sus aplicaciones,” Ph.D. dissertation, Instituto Tecnol´ogico de Buenos Aires–(ITBA), 2019. [Online]. Available: http://ri.itba.edu.ar/handle/123456789/1589

P. Cossutta, M. P. Aguirre, A. Cao, S. Raffo, and M. I. Valla, “Singlestage fuel cell to grid interface with multilevel current-source inverters,” IEEE Transactions on Industrial Electronics, vol. 62, no. 8, pp. 5256–5264, Aug 2015.

H. Li, Y. Qu, J. Lu, and S. Li, “A composite strategy for harmonic compensation in standalone inverter based on linear active disturbance rejection control,” Energies, vol. 12, p. 2618, 07 2019. [Online]. Available: https://www.mdpi.com/1996-1073/12/13/2618

P. Cossutta, M. P. Aguirre, M. A. Engelhardt, A. Cao, and M. I. Valla, “High speed fixed point dsogi pll implementation on fpga for synchronization of grid connected power converters,” in 2014 IEEE 23rd International Symposium on Industrial Electronics (ISIE), June 2014, pp. 1372–1377.

L. S. Xavier, A. F. Cupertino, J. T. de Resende, V. F. Mendes, and H. A. Pereira, “Adaptive current control strategy for harmonic compensation in single-phase solar inverters,” Electric Power Systems Research, vol. 142, pp. 84 – 95, 2017. [Online]. Available: http://www.sciencedirect.com/science/article/pii/S0378779616303443

J. Miret, M. Castilla, J. Matas, J. M. Guerrero, and J. C. Vasquez, “Selective harmonic-compensation control for single-phase active power filter with high harmonic rejection,” IEEE Transactions on Industrial Electronics, vol. 56, no. 8, pp. 3117–3127, 2009.

F. Wu, “A generalized LPV system analysis and control synthesis framework,” International Journal of Control, vol. 74, no. 7, pp. 745–75, 2001.

W. Nwesaty, A. Bratcu, and O. Sename, “Reduced-order lpv controller for coordination of power sources within multi-source energy systems,” IFAC-PapersOnLine, vol. 48, no. 14, pp. 132 – 137, 2015, 8th IFAC Symposium on Robust Control Design ROCOND 2015. [Online]. Available: http://www.sciencedirect.com/science/article/pii/S2405896315015657

Z. Liu, L. Xie, A. Bemporad, and S. Lu, “Fast linear parameter varying model predictive control of buck dc-dc converters based on fpga,” IEEE Access, vol. 6, pp. 52 434–52 446, 2018.

G. A. Ramos, R. A. Soto-Perez, and J. A. Cifuentes, “A varying frequency lpv-based control strategy for three-phase inverters,” IEEE Transactions on Industrial Electronics, vol. 64, no. 9, pp. 7599–7608, Sep. 2017.

P. Cossutta, M. Aguirre, J. Mu˜noz, M. Rivera, P. Melin, and J. Rohten, “7-level asymmetric multilevel current source inverter with predictive control,” in 2017 IEEE Southern Power Electronics Conference (SPEC), Dec 2017, pp. 1–6.

S. A. Azmi, K. H. Ahmed, S. J. Finney, and B. W. Williams, “Comparative analysis between voltage and current source inverters in grid-connected application,” in IET Conference on Renewable Power Generation (RPG 2011), Sep. 2011, pp. 1–6.

G. C. Goodwin, S. F. Graebe, and M. E. Salgado, Control System Design. Upper Saddle River, NJ, USA: Prentice Hall PTR, 2000.

A. Hjartarson, P. Seiler, and A. Packard, “Lpvtools: A toolbox for modeling, analysis, and synthesis of parameter varying control systems,” IFAC-PapersOnLine, vol. 48, no. 26, 2015.

M. Chilali and P. Gahinet, “H1 design with pole placement constraints: An LMI approach,” IEEE Transactions on Automatic Control, vol. 41, no. 3, pp. 358–367, 1996.

K. J. A° stro¨m and R. M. Murray, Feedback Systems: An Introduction for Scientists and Engineers, 2nd ed. Princeton University Press, 2019. [Online]. Available: http://www.cds.caltech.edu/murray/amwiki/index.php/Second Edition

C. Chen, Linear System Theory and Design, 3rd ed. Oxford University Press, 1999.



How to Cite

Ghersin, A. S., Cossutta, P., & Aguirre, M. P. (2021). LPV Control of Current Source Inverter Synchronized with the Grid. IEEE Latin America Transactions, 18(10), 1826–1833. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/3672