Distributed Fixed-Time Optimization in Economic Dispatch Over Directed Networks

Hao, Dingjun; Jia, Jinping; Li, Yan; Fang, Xinpeng; Chen, Weisheng

doi:10.1109/tii.2020.3010282

Cited by 65 publications

(18 citation statements)

References 22 publications

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“…Addressing these facts, the efforts in existing literature have been towards developing algorithms with finite or fixed-time convergence based on [8,9]. For example, [10] proposes a distributed finite time algorithm which can address the EDP in the smart grid with/without power generation constraints; [11] presents a distributed continuous-time algorithm to solve a convex optimization problem with equality constraint, which reaches the optimal value in fixed time; [12] extends these results by proposing a new lemma which guarantees finite-time convergence with a tighter upper bound on the convergence time; [13] discusses user-specified fixed-time consensus-based algorithm to solve EDP with time-varying topology.…”

Section: A Motivation and Literature Surveymentioning

confidence: 99%

“…Existing works in this direction primarily consider a simplified model for the transmission losses and discuss asymptotic or exponential convergence to the optimal solution [15][16][17][18][19][20]. Further, [10][11][12][13] do not address the aspect of transmission losses. Unlike these works, in this paper, we propose an algorithm that accounts for Kron's modeled power transmission losses and reaches the optimal solution of the EDP in a fixed time.…”

Section: A Motivation and Literature Surveymentioning

confidence: 99%

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A Partially Distributed Fixed-Time Economic Dispatch Algorithm with Kron's Modeled Power Transmission Losses

Shivanshu¹,

Jain²,

Behera³

2022

Preprint

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A partially distributed economic dispatch algorithm, which renders optimal value in fixed time with the objective of supplying the load requirement as well as the power transmission losses, is proposed in this paper. The transmission losses are modeled using Kron's B−loss formula, under a standard assumption on the values of B−coefficients. The total power supplied by the generators is subjected to time-varying equality constraints due to time-varying nature of the transmission losses. Using Lyapunov and optimization theory, we rigorously prove the convergence of the proposed algorithm and show that the optimal value of power is reached within a fixed-time, whose upper bound dependents on the values of B−coefficients, parameters characterizing the convexity of the cost functions associated with each generator and the interaction topology among them. Finally, an example is simulated to illustrate the theoretical results.

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Section: A Motivation and Literature Surveymentioning

confidence: 99%

Section: A Motivation and Literature Surveymentioning

confidence: 99%

A Partially Distributed Fixed-Time Economic Dispatch Algorithm with Kron's Modeled Power Transmission Losses

Shivanshu¹,

Jain²,

Behera³

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In the last few years, many research results show that finite-time control has emerged as a hot research issue and is widely used in various fields. For example, network system control [3][4][5][6][7], discrete-time system control [8][9][10][11][12], fuzzy system control [13][14][15][16][17], and so on. However, in some scenarios, independent finite-time convergence is not sufficient.…”

Section: Introductionmentioning

confidence: 99%

Scaled p‐norm and its application in fast time‐synchronized control

Wang,

Su,

Chang

et al. 2023

IET Control Theory & Appl

Self Cite

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The definition of scaled p‐norm and its properties are given here. Compared with the norm‐normalized sign function, using scaled p‐norm in the controller design can not only achieve the time‐synchronized stability of non‐linear dynamic systems, but also improve the convergence rate of the system. Besides, the scaled p‐norm is applied to design the consensus protocol for multi‐agent systems, which enables the states of all agents to achieve fast time‐synchronized consensus. The simulation results demonstrate the superiority of this method in improving the convergence rate of the system.

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“…However, the finite convergence time depends on the initial states of the system. Thus, the fixed-time and predefined-time distributed schemes are designed for removing this limitation and expanding the application range [34][35][36][37][38][39][40], in which the local constraints are not considered in Ref. [34][35][36]41], the local constraints are handled by the penalty function method in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, privacy protection is not guaranteed in Ref. [36][37][38] where the gradient information of agents needs to be communicated between agents.…”

Section: Introductionmentioning

confidence: 99%

Predefined‐time distributed event‐triggered algorithms for resource allocation

Shi

Yang

2022

IET Cyber-Phy Sys Theory & Ap

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The resource allocation problem in a distributed multi-agent system is considered in this study. First, the authors develop a predefined-time distributed algorithm and analyse its convergence analysis using the Lyapunov stability theory, in which the local constraint is ensured by a differential projection operator. Thus, a predefined time is obtained by a time-varying time-based generator. Second, to reduce the communication consumption between agents, the authors develop a static as well as a dynamic-based event-triggered control scheme, where the information broadcast only occurs at some discrete time instants. Moreover, the three proposed algorithms converge precisely to the global optimal solution. Besides, the Zeno behaviour is excluded in the above static and dynamic eventtriggered mechanisms. Finally, the authors test the proposed algorithms' efficiency based on the provided numerical examples.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Distributed Fixed-Time Optimization in Economic Dispatch Over Directed Networks

Cited by 65 publications

References 22 publications

A Partially Distributed Fixed-Time Economic Dispatch Algorithm with Kron's Modeled Power Transmission Losses

A Partially Distributed Fixed-Time Economic Dispatch Algorithm with Kron's Modeled Power Transmission Losses

Scaled p‐norm and its application in fast time‐synchronized control

Predefined‐time distributed event‐triggered algorithms for resource allocation

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