An Expanded Lyapunov-Function Based Control Strategy for Cascaded H-Bridge Multilevel Active Front-End Converters

Jean-Pierre, Garry; Altın, Necmi; Shafei, Ahmad El; Nasiri, Adel

doi:10.1109/ojpel.2023.3239414

Cited by 2 publications

(2 citation statements)

References 46 publications

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“…Substituting (66) into (57) result into these real equations: Applying the Routh-Hurwitz stability criterion on (76) [1], [21] shows that the poles of a closed-loop system will be in the left-half plane of the complex plane if these inequalities hold:…”

Section: F Tuning Of Dp-based Lyapunov Control Schemementioning

confidence: 99%

Modeling Lyapunov Control-Based Selective Harmonic Compensated Single-Phase Inverter in the Dynamic Phasor Domain

Nwaneto,

Seif Kashani,

Knight

2023

IEEE Open J. Ind. Applicat.

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Single-phase grid-forming inverters are commonly used in uninterruptible power supply (UPS) systems that feed singlephase critical loads in homes, data centers, and hospitals. With the increasing use of power electronics-interfaced loads, singlephase UPS inverters are being designed to exhibit characteristics such as low total harmonic distortion (THD) in output voltage, fast dynamic response, and strong robustness against large changes in load, to ensure a seamless operation of critical loads. The Lyapunov-function-based control strategy is a popular method to provide these characteristics in UPS inverters. However, most studies and designs related to Lyapunov-function-controlled single-phase UPS inverters are conducted by using detailed switching models. While detailed switching models accurately represent the true dynamics of power converters, simulating these models with nonlinear control schemes requires small time steps to produce accurate results. To address this limitation, we propose a new model of Lyapunov-function-based single-phase grid-forming inverter using the dynamic phasor (DP) method. The DP method transforms time-domain signals into slow-varying signals, enabling the use of larger time steps in simulations, which results in shorter simulation times. In the proposed DP model, the Lyapunov energy function is constructed in the DP domain using the dominant harmonics of the inverter output voltage and output current as state variables. The high accuracy and superior computational speed of the proposed DP model are validated through comparison with results obtained from a detailed model with natural-frame-based Lyapunov-function control. Experimental test results confirm the validity and high accuracy of the proposed DP-based method of modeling Lyapunov-function-controlled single-phase grid-forming inverter.

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Section: F Tuning Of Dp-based Lyapunov Control Schemementioning

confidence: 99%

Modeling Lyapunov Control-Based Selective Harmonic Compensated Single-Phase Inverter in the Dynamic Phasor Domain

Nwaneto,

Seif Kashani,

Knight

2023

IEEE Open J. Ind. Applicat.

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“…where A is a constant. The Lyapunov function is the basic method in the analysis of asymptotic stability for ordinary differential equation [14]. Moreover, the minimization of the upper bound for the DPP minimizes the expectations, which can be minimized by α * [t] at the current queue backlog Q[t] as follows:…”

Section: B the Lyapunov Optimization-based Online Uav Positioning Alg...mentioning

confidence: 99%

Lyapunov Optimization-Based Online Positioning in UAV-Assisted Emergency Communications

et al. 2023

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In disasters, unmanned aerial vehicles (UAVs) can be used as aerial base stations (BSs) when terrestrial BSs are unavailable. Although most studies have focused on optimal UAV localization to provide efficient network connectivity for outdoor users, supporting indoor users is also of great importance. Additionally, fairly providing network connectivity to as many indoor users as possible is critical in emergencies. Therefore, we propose a table-based fair transmission algorithm based on carrier-sense multiple access with collision avoidance (CSMA/CA) that aims to provide as many equal opportunities as possible. Moreover, we propose a Lyapunov optimization-based optimal UAV positioning algorithm to satisfy various disaster requirements. To analyze the proposed algorithm's performance, two building types were considered: standard-and factory-type buildings. We then compared the proposed table-based fair transmission algorithm with the conventional protocol according to various building types. Furthermore, via intensive simulations, we demonstrated the Lyapunov optimization-derived UAV movements according to situational requirement variations.INDEX TERMS Unmanned aerial vehicle, online UAV positioning, indoor-to-outdoor path loss model, Lyapunov optimization, UAV-assisted emergency communications.

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An Expanded Lyapunov-Function Based Control Strategy for Cascaded H-Bridge Multilevel Active Front-End Converters

Cited by 2 publications

References 46 publications

Modeling Lyapunov Control-Based Selective Harmonic Compensated Single-Phase Inverter in the Dynamic Phasor Domain

Modeling Lyapunov Control-Based Selective Harmonic Compensated Single-Phase Inverter in the Dynamic Phasor Domain

Lyapunov Optimization-Based Online Positioning in UAV-Assisted Emergency Communications

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