Abstract
In this paper nonlinear control design to obtain high performance from solar PV system using three-phase grid-connected LCL-filtered voltage source inverter is presented. The grid-connected system is modeled in the synchronously rotating frame. For perfect synchronization of solar photovoltaic and clean power injection to the grid new control based on Lyapunov function is used. Lyapunov function based control is derived from the Lyapunov’s direct method which guarantees the global stability of the closed-loop system. The output PV voltage is used as DC link voltage which will be maintained at its reference value using constant voltage MPPT tracking method. In the proposed control strategy, the measurement of inverter currents, capacitor voltages and grid currents are essential. The generation of reference functions in the d- and q-components can be achieved by using the reference d-component grid current. The performance of the proposed scheme and its developed control strategy, are validate using MATLAB Simulink.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Lena, G.: Rural Electrification with PV Hybrid Systems. International Energy Agency, pp. 7–10, July 2013
Darwish, A., Holliday, D., Ahmed, S., Massoud, A.M., Williams, B.W.: A single-stage three-phase inverter based on Cuk converters for PV applications. IEEE J. Emerg. Sel. Top. Power Electron. 2, 797–807 (2014)
Agarwal, R.K., Hussain, I., Singh, B.: Three-phase single-stage grid tied solar PV ECS using PLL-less fast CTF control technique. IET Power Electron. 10, 178–188 (2017)
Teodorescu, R., Blaabjerg, F., Liserre, M., Loh, P.C.: Proportional-resonant controllers and filters for grid-connected voltage-source converters. IEE Proc. Electr. Power Appl. 153, 750–762 (2006)
Blaabjerg, F., Teodorescu, R., Liserre, M., Timbus, A.V.: Overview of control and grid synchronization for distributed power generation systems. IEEE Trans. Industr. Electron. 53, 1398–1409 (2006)
Leyva, R., Cid-Pastor, A., Alonso, C., Queinnec, I., Tarbouriech, S., Martinez-Salamero, L.: Passivity-based integral control of a boost converter for large-signal stability. IEE Proc. Control Theory Appl. 153, 139–146 (2006)
Sanders, S.R., Verghese, G.C.: Lyapunov-based control for switched power converters. In: 21st Annual IEEE Conference on Power Electronics Specialists, pp. 51–58 (1990)
Komurcugil, H., Kukrer, O.: A new control strategy for single-phase shunt active power filters using a Lyapunov function. IEEE Trans. Industr. Electron. 53, 305–312 (2005)
Komurcugil, H., Kukrer, O.: Lyapunov-based control for three-phase PWM AC/DC voltage-source converters. IEEE Trans. Power Electron. 13, 801–813 (1998)
Meza, C., Biel, D., Jeltsema, D., Scherpen, J.M.A.: Lyapunov-based control scheme for single-phase grid-connected PV central inverters. IEEE Trans. Control Syst. Technol. 20, 520–529 (2012)
Komurcugil, H., Altin, N., Ozdemir, S., Sefa, I.: Lyapunov-function and proportional-resonant-based control strategy for single-phase grid-connected VSI with LCL filter. IEEE Trans. Industr. Electron. 63, 2838–2849 (2016)
Campanhol, L.B.G., da Silva, S.A.O., Goedtel, A.: Application of shunt active power filter for harmonic reduction and reactive power compensation in three-phase four-wire systems. IET Power Electron. 7, 2825–2836 (2014)
Ahmed, K.H., Finney, S.J., Williams, B.W.: Passive filter design for three-phase inverter interfacing in distributed generation. In: 2007 Compatibility in Power Electronics, pp. 1–9 (2007)
Zheng, X., Xiao, L., Lei, Y., Wang, Z.: Optimization of LCL filter based on closed-loop total harmonic distortion calculation model of the grid-connected inverter. IET Power Electron. 8, 860–868 (2015)
Xu, J., Xie, S., Tang, T.: Improved control strategy with grid-voltage feed forward for LCL-filter-based inverter connected to weak grid. IET Power Electron. 7, 2660–2671 (2014)
Balasubramanian, A.K., John, V.: Analysis and design of split-capacitor resistive inductive passive damping for LCL filters in grid-connected inverters. IET Power Electron. 6, 1822–1832 (2013)
Liu, Q., Peng, L., Kang, Y., Tang, S., Wu, D., Qi, Y.: A novel design and optimization method of an LCL filter for a shunt active power filter. IEEE Trans. Industr. Electron. 61, 4000–4010 (2014)
Hatua, K., Jain, A.K., Banerjee, D., Ranganathan, V.T.: Active damping of output LC filter resonance for vector-controlled VSI-fed AC motor drives. IEEE Trans. Industr. Electron. 59, 334–342 (2012)
Reznik, A., Simões, M.G., Al-Durra, A., Muyeen, S.M.: LCL filter design and performance analysis for grid-interconnected systems. IEEE Trans. Ind. Appl. 50, 1225–1232 (2014)
Sen, S., Yenduri, K., Sensarma, P.: Step-by-step design and control of LCL filter based three phase grid-connected inverter. In: 2014 IEEE International Conference on Industrial Technology (ICIT), pp. 503–508 (2014)
Tang, Y., Yao, W., Loh, P.C., Blaabjerg, F.: Design of LCL filters with LCL resonance frequencies beyond the Nyquist frequency for grid-connected converters. IEEE J. Emerg. Sel. Top. Power Electron. 4, 3–14 (2016)
Dong, D., Wen, B., Boroyevich, D., Mattavelli, P., Xue, Y.: Analysis of phase-locked loop low-frequency stability in three-phase grid-connected power converters considering impedance interactions. IEEE Trans. Industr. Electron. 62, 310–321 (2015)
Cheng, P., Nian, H.: Direct power control of voltage source inverter in a virtual synchronous reference frame during frequency variation and network unbalance. IET Power Electron. 9, 502–511 (2016)
Se-Kyo, C.: A phase tracking system for three phase utility interface inverters. IEEE Trans. Power Electron. 15, 431–438 (2000)
Qahouq, J.A.A., Jiang, Y.: Distributed photovoltaic solar system architecture with single-power inductor single-power converter and single-sensor single maximum power point tracking controller. IET Power Electron. 7, 2600–2609 (2014)
Zainuri, M.A.A.M., Radzi, M.A.M., Soh, A.C., Rahim, N.A.: Development of adaptive perturb and observe-fuzzy control maximum power point tracking for photovoltaic boost dc-dc converter. IET Renew. Power Gener. 8, 183–194 (2014)
de Oliveira, F.M., da Silva, S.A.O., Durand, F.R., Sampaio, L.P., Bacon, V.D., Campanhol, L.B.G.: Grid-tied photovoltaic system based on PSO MPPT technique with active power line conditioning. IET Power Electron. 9, 1180–1191 (2016)
Rezkallah, M., Sharma, S.K., Chandra, A., Singh, B., Rousse, D.R.: Lyapunov function and sliding mode control approach for the solar-PV grid interface system. IEEE Trans. Industr. Electron. 64, 785–795 (2017)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Appendix
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Moutaki, K., Ikaouassen, H., Raddaoui, A., Rezkallah, M. (2019). Lyapunov Function Based Control for Grid-Interfacing Solar Photovoltaic System with Constant Voltage MPPT Technique. In: Ezziyyani, M. (eds) Advanced Intelligent Systems for Sustainable Development (AI2SD’2018). AI2SD 2018. Advances in Intelligent Systems and Computing, vol 912. Springer, Cham. https://doi.org/10.1007/978-3-030-12065-8_20
Download citation
DOI: https://doi.org/10.1007/978-3-030-12065-8_20
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-12064-1
Online ISBN: 978-3-030-12065-8
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)