<i>H</i>
            <sub>∞</sub>
            distributed frequency control with unknown communication delays and parametric uncertainties

Zhang, Shengnan; Liu, Zhenwei; Sun, Qiuye; Zhang, Huaguang

doi:10.1002/2050-7038.13082

Cited by 2 publications

(3 citation statements)

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“…Due to the term 𝛾 −2 PB 1 B T 1 P, (11) is not a standard Riccati equation. Thus, in order to solve this equation using conventional methods, it can be converted into the following standard Riccati equation:…”

Section: Zero-sum Dynamic Game Designmentioning

confidence: 99%

“…In order to enhance the performance indices and to achieve robust frequency restoration in perturbed weak grids with a limited capacity of ESSs, a mixed

H_{2}\slash H_{\infty }

solution is developed in [9, 10]. Conventional and intelligent control solutions are also suggested in literature for LFC applications [11], where the solutions are mainly designed to find optimal selections of the inertial constant and damping coefficient in a feasible set. These coefficients are tuned by comparing and assessing between a normalized VSG fed by an ESS with a rotating mass synchronous generator (SG).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

H∞$H_{\infty }$ optimal frequency control in islanded AC microgrids: A zero‐sum dynamic game approach

Sheikhahmadi

Batmani

Khayat

et al. 2023

IET Renewable Power Gen

View full text Add to dashboard Cite

This paper proposes a zero‐sum dynamic game (ZSDG) design to mitigate frequency deviations in the secondary control layer of islanded AC microgrids. By defining a min‐max optimization problem, where the control input minimizes the frequency deviations while the external disturbances maximizes the cost function, a robust control law is designed. The outcome leads to setting the frequency to its desired value and at the same time effects of disturbances are attenuated by applying the H∞$H_{\infty }$ optimal controller in the secondary control level of AC microgrids. Since the basic ZSDG controller cannot eliminate adverse effects of external disturbances on the system frequency, an extended‐ZSDG (EZSDG) method is introduced to design an effective H∞$H_{\infty }$ controller. Due to the lack of access to the state variables of the microgrids, a full‐order observer is designed to estimate these variables based on the measured output. In simulation results, the validity of the proposed EZSDG is investigated by considering uncertainties in both the communication and physical layers.

show abstract

Section: Zero-sum Dynamic Game Designmentioning

confidence: 99%

“…In order to enhance the performance indices and to achieve robust frequency restoration in perturbed weak grids with a limited capacity of ESSs, a mixed

H_{2}\slash H_{\infty }

Section: Introductionmentioning

confidence: 99%

H∞$H_{\infty }$ optimal frequency control in islanded AC microgrids: A zero‐sum dynamic game approach

Sheikhahmadi

Batmani

Khayat

et al. 2023

IET Renewable Power Gen

View full text Add to dashboard Cite

show abstract

“…In [30], the stability of a hybrid MG using a fractional order fuzzybased PI controller is studied. Several classical and intelligent control schemes are also investigated for the MG control applications in [31][32][33], where authors have focused on optimal determining the inertial constant and the damping coefcient. Tese parameters are tuned conventionally by comparison and assessment between a normalized VSG with a rotating mass SG.…”

Section: Introductionmentioning

confidence: 99%

Robust Frequency Control of Microgrids: A Mixed $H_{2} / Maleki 1, Nikoukar 2, Tousifian 3 2023 International Transactions on Electrical Energy Systems4000View full text Add to dashboard CiteThis article proposes a robust inertial controller for converter-based distributed generators employed in low-inertia power systems like microgrids. The increasing penetration level of renewable energy sources based on power electronics converters in modern power systems reduces the inertial features of the system. It also increases concerns associated with the system uncertainty and sensitivity against disturbances. To cope with these challenges, by employing the proposed linear matrix inequality (LMI)-based mixed

H

2

/

H

∞

robust method, an optimal robust controller aided for inertial support as well as fast frequency restoration is provided. Using the proposed solution not only presents a better inertial response but also proposes a faster frequency restoration, by which the system’s frequency can be restored immediately following any disturbance, even in the presence of system uncertainties. Through in-detailed frequency response analysis and time-domain simulations for different scenarios, it is illustrated that the proposed mechanism can be successfully employed to address the inertial requirements in power electronic-based power systems. In addition, the proposed LMI-based mixed

H

2

/

H

∞

control solution is compared with a number of other solutions to illustrate its better performance against disturbances. Simulation results validate the merits and effectiveness of the proposed controller.show abstractscite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health. Contact Info hi@scite.ai 10624 S. Eastern Ave., Ste. 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Compared with current results, we develop a new model transformation for traditional interconnected systems with unknown communication time delays and uncertainties. The load frequency control problem becomes the state synchronization problem of multi‐agent system (MAS) consisting of linear double‐integrator system with uncertainties and delays. Then, the H∞ distributed controller is designed based on the new MAS model, which weakens the impact of communication delays, parametric uncertainties, and load disturbance. Meanwhile, the proposed distributed controller only needs its neighbors' information and some rough information about the communication network to achieve the frequency's synchronization. In addition, the power flow in the power system can achieve the power scheduling and peak regulation with the changes of each area's load, which can cause unacceptable frequency deviation. The switching topologies are used to express this new power flow distribution. The corresponding distributed controllers are designed to achieve the frequency's synchronization. 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H ∞ distributed frequency control with unknown communication delays and parametric uncertainties

Cited by 2 publications

References 38 publications

H∞$H_{\infty }$ optimal frequency control in islanded AC microgrids: A zero‐sum dynamic game approach

H∞$H_{\infty }$ optimal frequency control in islanded AC microgrids: A zero‐sum dynamic game approach

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H _∞ distributed frequency control with unknown communication delays and parametric uncertainties