Open Access Open Access  Restricted Access Subscription or Fee Access

The Partial Linearization of Power-Voltage Curve for Grid-Connected Photovoltaic System

(*) Corresponding author

Authors' affiliations



This paper aims to present a new method to track the maximum power point for single-stage single-phase grid connected PV inverter, which is based on the partial linearization of the power-voltage PV panel curve coupled to the MPPT algorithm. The proposed approach generates the reference current in order to regulate the power fed into the grid, and it needn’tany accuracy of the PV panel model which may change over time. The current controller approach is based on the stability of the internal dynamic due to the nonlinearity of the PV system and it uses the Lyapunov function that gives globally asymptotically stable trajectories of the closed-loop system. The effectiveness of the control algorithm has been verified by simulating it in Matlab/Simulink software. The proposed control is compared with the conventional approach using PI controller.
Copyright © 2016 Praise Worthy Prize - All rights reserved.


Single-Phase Grid-Connected PV Inverter; MPPT; Partial Linearization; Lyapunov’s Stability

Full Text:



Blorfan, A., Sturtzer, G., Flieller, D., Wira, P., Mercklé, J., An Adaptive Control Algorithm for Maximum Power Point Tracking for Photovoltaic Energy Conversion Systems - A Comparative Study, (2014) International Review of Electrical Engineering (IREE), 9 (3), pp. 559-565.

Minas Patsalides, Venizelos Efthymiou, Andreas Stavrou, George E. Georghiou, A generic transient PV system model for power quality studies, Renewable Energy, Volume 89, April 2016, Pages 526-542, ISSN 0960-1481,

Mohamed, R., Ibrahim, D., Youssef, H., Rakha, H., Optimal Sizing and Economic Analysis of Different Configurations of Photovoltaic systems, (2014) International Review of Electrical Engineering (IREE), 9 (1), pp. 146-156.

Radianto, D., Shoyama, M., ANFIS Based Maximum Power Point Tracking Method for Photovoltaic System Using a Two-Phase Interleaved Boost Converter, (2015) International Review of Automatic Control (IREACO), 8 (6), pp. 418-424.

Duong, M., Dolara, A., Grimaccia, F., Mussetta, M., Zich, R., Le, K., Hybrid Structure and Fuzzy Logic High Precision Control for Non-Geostationary Satellite Antenna Tracking, (2015) International Journal on Communications Antenna and Propagation (IRECAP), 5 (5), pp. 290-296.

Zegrar, M., Zerhouni, F.Z., Midoun, A., Design and implementation of a multilevel inverter fed by photovoltaic generators with MPPT, (2014) International Review of Electrical Engineering (IREE), 9 (6), pp. 1097-1102.

Carlos Meza, Juan J. Negroni, Domingo Biel, Francisco Guinjoan, Energy-Balance Modeling and Discrete Control for Single-Phase Grid-Connected PV Central Inverters, IEEE Trans. On Indus. Elect. Vol. 55, NO. 7, JULY 2008.

KrismadinataChaniago, J. Selvaraj, N.A. Rahim, Implementation of Single-Phase Grid Connected Inverter Using TMS320F2812,Industrial Electronics and Applications, 2008. ICIEA 2008. 3rd IEEE Conference on Singapore, 3-5 June 2008.

Palanisamy, R., Vijayakumar, K., Misra, S., Selvakumar, K., Karthikeyan, D., A closed loop current control of PV-wind hybrid source fed grid connected transformerless diode clamped-multi level inverter, (2015) International Review on Modelling and Simulations (IREMOS), 8 (4), pp. 386-398.

Domenico Casadei, Gabriele Grandi, and Claudio Rossi, Single-Phase Single-Stage Photovoltaic Generation System Based on a Ripple Correlation Control Maximum Power Point Tracking, Energy Conversion, IEEE Transactions on Vol. 21, n. 2. p. 562 – 568, June 2006.

M. A. Mahmud, M. J. Hossain, H. R. Pota, and N. K. Roy, Robust Nonlinear Controller Design for Three-Phase Grid-Connected Photovoltaic Systems Under Structured Uncertainties, Power Delivery, IEEE Transactions on Vol. 29. 29 avril 2014.

Vaigundamoorthi, M., Ramesh, R., Performance analysis of soft switched DC-DC converter based MPPT circuits for solar PV module, (2013) International Review on Modelling and Simulations (IREMOS), 6 (1), pp. 1-7.

Feng Gao, Ding Li, Poh Chiang Loh, Yi Tang and Peng Wang, Indirect DC-Link Voltage Control of Two-Stage Single-Phase PV Inverter, Energy Conversion Congress and Exposition, 2009. ECCE 2009. IEEE. San Jose, CA.

Il-Song Kim, Myung-Bok Kim, Myung-JoongYoun, New Maximum Power Point Tracker Using Sliding-Mode Observer for Estimation of Solar Array Current in the Grid-Connected Photovoltaic System, Industrial Electronics, IEEE Tran. Vol.53, Issue: 4. June 2006.

Satyaranjan Jena, B.ChittiBabu, S.R.Samantaray and MohamayeeMohapatra, Comparative Study between Adaptive Hysteresis and SVPWM Current Control for Grid-connected Inverter System, Proc. of the IEEE Student's Tech. 14-16/Jan/2011.

Marek Pástor, Jaroslav Dudrik “Predictive Current Control of Grid-tied Cascade H-bridge Inverter” AUTOMATIKA 54. 2013.

Arahal, M.R., Barrero, F., Durán, M.J., Martín, C., Harmonic distribution in finite state model predictive control, (2015) International Review of Electrical Engineering (IREE), 10 (2), pp. 172-179.

D. Zammit, C. Spiteri Staines, M. Apap, Comparison between PI and PR Current Controllers in Grid Connected PV Inverters,International Journal of Elec. Elect. Sci. and Eng. Vol, 8 No: 2, 2014.

Hasan Komurcugil, NecmiAltin, SabanOzdemir, and Ibrahim sefa, An Extended Lyapunov-Function-Based Control Strategy for Single-Phase UPS Inverters, Power Electronics, IEEE Transactions on Vol.30, 13 august 2014.

Kalaiarasi, N., Paramasivam, S., Kundu, S., Control of Z-source inverter based PV system with MPPT using ANFIS, (2014) International Review on Modelling and Simulations (IREMOS), 7 (5), pp. 797-806.

Burgio, A., Carbone, R., Morello, R., Pinnarelli, A., Grid-connected PV-plants based on a distributed energy-storage system and a multilevel inverter, (2013) International Review of Electrical Engineering (IREE), 8 (4), pp. 1267-1278.

K.Manohar, P.Sobha Rani “MPPT and Simulation for a Grid-Connected Photovoltaïc System and Fault Analysis” Inter. Jour. Of engine. And Sci. (IJES), 1 Pages 158-166, 2013.

RiadKadri, Jean-Paul Gaubert, Gerard Champenois, An Improved Maximum Power Point Tracking for Photovoltaic Grid-Connected Inverter Based on Voltage-Oriented Control” IEEE Trans. On Indus. Elec. VOL. 58, NO. 1, Jan. 2011.

BidyadharSubudhi, Raseswari Pradhan, “A Comparative Study on Maximum Power Point Tracking Techniques for Photovoltaic Power Systems” IEEE Trans. On Sustainable Ener. VOL. 4, NO. 1, Jan. 2013.

Wu Libo, Zhao Zhengming, Liu Jianzheng, A Single-Stage Three- Phase Grid-Connected Photovoltaic System With Modified MPPT Method and Reactive Power Compensation, IEEE Trans. On Energy Conv. Vol. 22, NO. 4, Dec. 2007.

Wei-Yi Yang, Zong-Ying Yang, Yuang-Shung Lee, Chien-Liang Chen, Jih-Sheng Lai, Fuzzy Logic Maximum Power Point Tracking Control for PV Inverter, 2012 IEEE 7th International Power Elec. and Motion Control, June 2-5, 2011.

D. Marandi, T. N. Sowmya, and B. C. Babu, Comparative study between unipolar and bipolar switching scheme with LCL filter for single phase grid connected inverter system,IEEE Students’ Conference on Electrical, Electronics and Computer Science. 2012.


  • There are currently no refbacks.

Please send any question about this web site to
Copyright © 2005-2024 Praise Worthy Prize