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Article

Adaptive Neural Network-Based Virtual Flux Estimation for Sensorless Deadbeat Control of Grid-Connected Modular Multilevel Converters

1
L2CSP Laboratory, Mouloud Mammeri University of Tizi-Ouzou, BP 17 RP, Tizi-Ouzou 15000, Algeria
2
Preparatory Classes Department, Ecole Nationale Supérieure des Travaux Publics, Rue Sidi Garidi BP 32 Vieux Kouba, Algiers 16051, Algeria
3
Espace-Dev, UMR 228, Université de Guyane, 97300 Cayenne, France
4
G2Elab, Grenoble INP, Université de Grenoble Alpes, CNRS, 38000 Grenoble, France
*
Author to whom correspondence should be addressed.
Processes 2026, 14(19), 3191; https://doi.org/10.3390/pr14193191
Submission received: 13 August 2026 / Revised: 28 September 2026 / Accepted: 30 September 2026 / Published: 6 October 2026

Abstract

This paper presents a grid-voltage-sensorless control scheme for a grid-connected modular multilevel converter based on an adaptive-linear-neuron quadrature signal generator for virtual-flux estimation (VF-ADALINE-QSG). The proposed estimator identifies the DC offset component and extracts the in-phase and quadrature fundamental components online without requiring offline training or specific initialization of the adaptive weights. By reconstructing VF exclusively from the identified fundamental components, the proposed method limits drift induced by DC offset and attenuates higher-order harmonics while avoiding the additional dynamic delays associated with conventional filtering-based estimators. The VF-ADALINE-QSG is integrated into a deadbeat predictive control framework incorporating grid-current regulation, circulating current suppression, and submodule-capacitor-voltage balancing. Its performance is compared to that of low-pass-filter (LPF) and second-order generalized-integrator (SOGI)-based VF estimators through real-time simulations on an OPAL-RT OP5700 platform. The evaluation considers startup, active-power-reference variations, a 20% DC offset, voltage distortion comprising 12.5% fifth- and 7.5% seventh-order harmonics, and the simultaneous occurrence of these disturbances. The proposed estimator achieves a settling time approximately one-sixteenth of that obtained with the LPF-based estimator. Under DC offset conditions, the estimated VF total harmonic distortion is limited to 0.26%, compared with 7.38% and 0.84% for the LPF- and SOGI-based estimators, respectively. The results demonstrate a faster transient response, improved estimation accuracy, and enhanced robustness against both DC offsets and harmonic disturbances.
Keywords: adaptive linear neuron (ADALINE); deadbeat predictive control; modular multilevel converter (MMC); virtual flux estimation adaptive linear neuron (ADALINE); deadbeat predictive control; modular multilevel converter (MMC); virtual flux estimation

Share and Cite

MDPI and ACS Style

Asnoun, M.; Boukais, B.; Mesbah, K.; Amoura, N.; Rahoui, A.; Sadli, I.; Frey, D.; Bacha, S. Adaptive Neural Network-Based Virtual Flux Estimation for Sensorless Deadbeat Control of Grid-Connected Modular Multilevel Converters. Processes 2026, 14, 3191. https://doi.org/10.3390/pr14193191

AMA Style

Asnoun M, Boukais B, Mesbah K, Amoura N, Rahoui A, Sadli I, Frey D, Bacha S. Adaptive Neural Network-Based Virtual Flux Estimation for Sensorless Deadbeat Control of Grid-Connected Modular Multilevel Converters. Processes. 2026; 14(19):3191. https://doi.org/10.3390/pr14193191

Chicago/Turabian Style

Asnoun, Mustapha, Boussad Boukais, Koussaila Mesbah, Noumidia Amoura, Adel Rahoui, Idris Sadli, David Frey, and Seddik Bacha. 2026. "Adaptive Neural Network-Based Virtual Flux Estimation for Sensorless Deadbeat Control of Grid-Connected Modular Multilevel Converters" Processes 14, no. 19: 3191. https://doi.org/10.3390/pr14193191

APA Style

Asnoun, M., Boukais, B., Mesbah, K., Amoura, N., Rahoui, A., Sadli, I., Frey, D., & Bacha, S. (2026). Adaptive Neural Network-Based Virtual Flux Estimation for Sensorless Deadbeat Control of Grid-Connected Modular Multilevel Converters. Processes, 14(19), 3191. https://doi.org/10.3390/pr14193191

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