One of the currently investigated problems in power electronics-based electrical energy conversion is proper operation of electronic converters during grid voltage imbalance and harmonics. In classic control methods, it introduces oscillations of variables, resulting in the necessity to improve control systems with signals filtration and usually by application of resonant terms as part of current controllers. The paper presents a new approach to grid-connected inverter control based on transformation to a non-Cartesian frame, the parameters of which are correlated with grid voltage asymmetry. The proposed method results in resignation from resonant terms used as controllers and their replacement with proportional–integral terms for which anti-wind-up structures are significantly simpler than for oscillatory terms. The paper presents new transformation principles, features and some simulation results showing the waveforms of signals transformed to the new non-Cartesian frame.
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Abdeltawab H. H. and Mohamed Y. A. R. I. (2016). Robust Energy Management of a Hybrid Wind and Flywheel Energy Storage System Considering Flywheel Power Losses Minimization and Grid-Code Constraints. IEEE Transactions on Industrial Electronics 63(7) pp. 4242–4254.
Abdel-Khalik A. S. Hamad M. S. Massoud A. M. and Ahmed S. (2018). Postfault Operation of a Nine-Phase Six-Terminal Induction Machine Under Single Open-Line Fault. IEEE Transactions on Industrial Electronics 2 pp. 1084–1096.
Afshari E. Moradi G. R. Rahimi R. Farhangi B. Yang Y. Blaabjerg F. and Farhangi S. (2017). Control Strategy for Three-Phase Grid-Connected PV Inverters Enabling Current Limitation Under Unbalanced Faults IEEE Transactions on Industrial Electronics 64(11) pp. 8908–8918.
Cheng P. Nian H. (2016). Direct Power Control of Voltage Source Inverter in a Virtual Synchronous Reference Frame During Frequency Variation and Network Unbalance. IET Power Electronics 9 pp. 502–511.
Clarke E. (1943). Circuit Analysis of AC Power Systems–Symmetrical and Related Components. Hoboken NJ: John Wiley & Sons vol. I.
Gałecki A. Grzesiak L. Ufnalski B. Kaszewski A. and Michalczuk M. (2016). Anti-windup strategy for an LQ current controller with oscillatory terms for three-phase grid-tie VSCs in SMES systems. Power Electronics and Drives 1(2) pp. 65–81
Gałecki A. Michalczuk M. Kaszewski A. Ufnalski B. and Grzesiak L. M. (2018). Particle swarm optimization of the multioscillatory LQR for a three-phase grid-tie converter. Przegląd Elektrotechniczny 94(6) pp. 43–48
Guo X. Liu W. and Lu Z. (2017). Flexible Power Regulation and Current-Limited Control of the Grid-Connected Inverter Under Unbalanced Grid Voltage Faults. IEEE Transactions on Industrial Electronics 64(9) pp. 7425–7432.
Guo X. Q. Yang Y. and Zhang X. (2018). Advanced Control of Grid-connected Current Source Converter under Unbalanced Grid Voltage Conditions. IEEE Transactions on Industrial ElectronicsEarly Access
Iwanski G. (2019). Virtual Torque and Power Control of a Three-Phase Converter Connected to an Unbalanced Grid with Consideration of Converter Current Constraint and Operation Mode. IEEE Transactions on Power Electronics 34(4) pp. 3804–3818
Iwanski G. Luszczyk T. and Szypulski M. (2017). Virtual-Torque-Based Control of Three-Phase Rectifier Under Grid Imbalance and Harmonics. IEEE Transactions on Power Electronics 32(9) pp. 6836–6852.
Levi E. Bojoi R. Profumo F. Toliyat H. A. and Williamson S. (2007). Multiphase induction motor drives - a technology status review. IET Electric Power Applications 1 pp. 489–516.
Nian H. Shen Y. Yang H. and Quan Y. (2015). Flexible Grid Connection Technique of Voltage-Source Inverter Under Unbalanced Grid Conditions Based on Direct Power Control. IEEE Transactions on Industry Applications 51 pp. 4041–4050.
Park R. H. (1929). Two-Reaction Theory of Synchronous Machines Generalized Method of Analysis-Part I. Transactions of the American Institute of Electrical Engineers 48(3) pp. 716–727.
Patiño D. G. Erira E. G. G. Rosero E. E. Fuelagán J. R. (2015). SOGI-FLL for synchronization and fault detection in an inverter connected to the grid. Innovative Smart Grid Technologies Latin America (ISGT LATAM).
Rizo M. Rodríguez A. Rodríguez F. J. Bueno E. and Liserre M. (2012). Different approaches of stationary reference frames saturators. In: 38th Annual Conference of the IEEE Industrial Electronics Society - IECON.
Rodriguez P. Luna A. Candela I. Mujal R. Teodorescu R. and Blaabjerg F. (2011). Multiresonant Frequency-Locked Loop for Grid Synchronization of Power Converters Under Distorted Grid Conditions. IEEE Transactions on Industrial Electronics 58 pp. 127–138.
Xin Z. Wang X. Qin Z. Lu M. Loh P. C. and Blaabjerg F. (2016). An Improved Second-Order Generalized Integrator Based Quadrature Signal Generator. IEEE Transactions on Power Electronics 31 pp. 8068–8073.