Ellipsoidal-Set Design of the Decentralized Plug and Play Control for Direct Current Microgrids

Soliman, Hisham M.; Bayoumi, Ehab H.E.; El-Sheikhi, Farag Ali; Ibrahim, Amr M.

doi:10.1109/access.2021.3094896

Cited by 6 publications

(29 citation statements)

References 25 publications

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“…If the designer requires a faster response than given by the state feedback with integral control [5,25,26], by the ellipsoidal approach, a proportional element is added. The resulting state feedback with PI control could not be designed by the ellipsoidal approach in [5,26]; however, the present passivity-based method succeeds in this regard.…”

Section: Paper Contributionmentioning

confidence: 99%

“…Tests are conducted to see if the proposed controllers can be used with uncertainty of lines and loads, as well as against plug and play capability; it is important to highlight that in these simulations, the variations by the DGs are evaluated by varying the local load of the DGs and the line parameters. The proposed control is compared to the Invariant-Set Design controller technique in [25] to examine its capabilities. The authors of [25] stipulate an ellipsoidal outline of decentralized state feedback with integral control for DC-MGs [26].…”

Section: Simulation Validationmentioning

confidence: 99%

“…The proposed control is compared to the Invariant-Set Design controller technique in [25] to examine its capabilities. The authors of [25] stipulate an ellipsoidal outline of decentralized state feedback with integral control for DC-MGs [26]. Notably, unlike the invariant-set design in [25,34], the present method is entirely different, and is based on a dissipative control approach.…”

Section: Simulation Validationmentioning

confidence: 99%

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Attractive Ellipsoid Technique for a Decentralized Passivity-Based Voltage Tracker for Islanded DC Microgrids

Poznyak,

Soliman,

Alazki

et al. 2024

Energies

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A new passivity-based voltage tracker for islanded Direct Current (DC) microgrids is presented in this paper. The proposed design develops a new sufficient condition for passivity-based state feedback with proportional and integral control using the attracting ellipsoid method. In this paper, we consider the time behavior of the extended vector, which completely describes the principle properties of the closed-loop system such as the boundedness of the trajectories within some ellipsoid and the dependence of its “size” on the feedback gains. The next step, which we are realizing in this paper, is the minimization of the attractive ellipsoid by selecting the “best” admissible feedback parameters. Here, it is important to note that the applied feedback is of PD-type (proportional differential) on the system state and I-type (integral) on the output. This is a new construction of the suggested feedback which gives several advantages for a designer. The suggested control is decentralized and uses only the local states; it is cost-effective and avoids the time delays in the communication networks which are needed if centralized control is used. The suggested control is carried out in the bilinear matrix inequality (BMI) framework. Extensive simulation is performed on a test system composed of renewable energy sources, under plug and play (PnP) operations, and uncertainties in distribution lines and loads. The performance of the proposed decentralized voltage controller is compared with that of a voltage tracker present in the literature. The comparison shows the improvements introduced by the proposed control ensure the stability of the dc bus voltage and a quick response under different scenarios of operating conditions.

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Section: Paper Contributionmentioning

confidence: 99%

Section: Simulation Validationmentioning

confidence: 99%

Section: Simulation Validationmentioning

confidence: 99%

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Attractive Ellipsoid Technique for a Decentralized Passivity-Based Voltage Tracker for Islanded DC Microgrids

Poznyak,

Soliman,

Alazki

et al. 2024

Energies

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“…Control techniques have progressed from (1) centralized where, one controller is used to stabilize the whole system; but requires measuring all the states; (2) decentralized control, where a controller is installed for each DG and requires only the local information of its DG scheme; to (3) distributed schemes, where the controller for each DG requires local and neighboring DGs information [ 19 , 20 ]. It should be noted that the decentralized control is the most reliable option because it does not require the pricey communication network and time delay that centralized control does.…”

Section: Introductionmentioning

confidence: 99%

“…To improve performance, some hierarchical control techniques have been introduced. In order to track the local voltage reference of DC MGs under plug-and-play (PnP) MG operation, decentralized control method has been presented in [ 20 ]. Accurate current sharing has been achieved in [ 21 ] by using a secondary consensus-based controller.…”

Section: Introductionmentioning

confidence: 99%

Decentralized Sensor Fault-Tolerant Control of DC Microgrids Using the Attracting Ellipsoid Method

Soliman

Bayoumi

El-Sheikhi³

et al. 2023

Sensors

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System stability deterioration in microgrids commonly occurs due to unpredictable faults and equipment malfunctions. Recently, robust control techniques have been used in microgrid systems to address these difficulties. In this paper, for DC-islanded microgrids that have sensors faults, a new passive fault-tolerant control strategy is developed. The suggested approach can be used to maintain system stability in the presence of flaws, such as faulty actuators and sensors, as well as component failures. The suggested control is effective when the fault is never recognized (or when the fault is not being precisely known, and some ambiguity in the fault may be interpreted as uncertainty in the system’s dynamics following the fault). The design is built around a derived sufficient condition in the context of linear matrix inequalities (LMIs) and the attractive ellipsoid technique. The ellipsoidal stabilization idea is to bring the state trajectories into a small region including the origin (an ellipsoid with minimum volume) and the trajectories will not leave the ellipsoid for the future time. Finally, computational studies on a DC microgrid system are carried out to assess the effectiveness of the proposed fault-tolerant control approach. When compared with previous studies, the simulation results demonstrate that the proposed control technique can significantly enhance the reliability and efficiency of DC microgrid systems.

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Invariant-set design of robust switched trackers for bidirectional power converters in hybrid microgrids

Awad

Bayoumi

Soliman

et al. 2023

Ain Shams Engineering Journal

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Ellipsoidal-Set Design of the Decentralized Plug and Play Control for Direct Current Microgrids

Abstract: Date of publication xxxx 00, 0000, date of current version xxxx 00, 0000.

Cited by 6 publications

References 25 publications

Attractive Ellipsoid Technique for a Decentralized Passivity-Based Voltage Tracker for Islanded DC Microgrids

Attractive Ellipsoid Technique for a Decentralized Passivity-Based Voltage Tracker for Islanded DC Microgrids

Decentralized Sensor Fault-Tolerant Control of DC Microgrids Using the Attracting Ellipsoid Method

Invariant-set design of robust switched trackers for bidirectional power converters in hybrid microgrids

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