Stability and synchronization of directed complex dynamical networks with random packet loss: the continuous‐time case and the discrete‐time case

Yang, Meng; Wang, Yan‐Wu; Yi, Jing-Wen; Huang, Yuehua

doi:10.1002/cta.1834

Cited by 9 publications

(7 citation statements)

References 25 publications

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“…(11) and (12), the second-order controlled clock synchronization can be described in a FPGA board by the following: convergent. According to Eqs.…”

Section: Experimental Evaluationmentioning

confidence: 99%

“…According to Eqs. (11) and (12), the second-order controlled clock synchronization can be described in a FPGA board by the following: convergent. The failure in convergence of the series can also be observed for f REF = 10 Hz.…”

Section: Experimental Evaluationmentioning

confidence: 99%

“…The basic configuration of the power packet dispatching system is illustrated in Figure 1, which consists of direct current (DC) power sources, a mixer, power line, a router, and loads. Similarly, the clock synchronization between the mixer and the router is necessary for recognizing packet signals correctly in the router [11]. Information tags and payload constitute one power packet.…”

Section: Introductionmentioning

confidence: 99%

“…In this way, we can refer to the mixer, the router, and power packets as the counterparts of the transmitter, the receiver, and communication packets in the communication system. Similarly, the clock synchronization between the mixer and the router is necessary for recognizing packet signals correctly in the router [11]. Apart from the similarity, it is worth noting the difference between the power packet and the communication packet, which relies on the physical meaning of the payload.…”

Section: Introductionmentioning

confidence: 99%

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Power packet dispatching with second‐order clock synchronization

Zhou

Takahashi

Fujii

et al. 2015

Circuit Theory & Apps

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Aiming to distinguish sources and loads for the rapid scaling of renewable power sources, a novel power packet dispatching system has been proposed with a structure similar to those of communication systems. Accurate clock synchronization is necessary to achieve the exchange of information attached in a power packet. At the same time, the clock synchronization is an interesting topic for developing power packet dispatching between multi-sender and a receiver. This work outlines the implementation of second-order autonomously controlled clock synchronization into the power packet dispatching system. At first, we derive the second-order controlled model of a digital clock synchronization method and analyze the stability of the developed model. Secondly, through experiments, it is shown that the information of power packets can be recognized correctly and the power can be distributed to directed loads. This paper demonstrates the validity of the asynchronous power packet dispatching based on our derived model. k ð Þ NCO denotes the clock period of NCO. In Eq. (1), k indicates the serial number of reference clock cycle, and Δ(k) represents the phase difference between the two clock signals. We define Δ(k) > 0 if REF leads NCO, Δ(k) < 0 if REF lags NCO, and Δ(k) = 0 when REF and NCO are synchronized. t k indicates the start time of the k-th reference clock cycle. Here, the clock synchronization between REF and NCO means T k ð Þ NCO ¼ T REF , and thus, from Eq. (1), it is clear that the achievement of clock SECOND-ORDER CLOCK SYNCHRONIZATION 731 a 2 is also a constant parameter, which is taken to be positive. By substituting Eqs. (A3) and (A4) into Eq. (A2), the second-order controlled model can be obtained, SECOND-ORDER CLOCK SYNCHRONIZATION 741

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“…(11) and (12), the second-order controlled clock synchronization can be described in a FPGA board by the following: convergent. According to Eqs.…”

Section: Experimental Evaluationmentioning

confidence: 99%

Section: Experimental Evaluationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Power packet dispatching with second‐order clock synchronization

Zhou

Takahashi

Fujii

et al. 2015

Circuit Theory & Apps

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“…Due to network congestion or node failures, data loss is a common phenomenon in data transmission in complex dynamical networks. Yang et al [ 23 ] developed a model for complex dynamical networks with random packet losses which occur in the communication links between every two neighbor nodes. In their paper, the packet losses are described by a set of Bernoulli random variables multiplied by coupling coefficients, and the exponential mean-square stability and synchronization problems are investigated by defining the packet loss probability matrix (PLPM) [ 23 ].…”

Section: Introductionmentioning

confidence: 99%

A New Model for Complex Dynamical Networks Considering Random Data Loss

Jiang

Wang

2019

Entropy

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Model construction is a very fundamental and important issue in the field of complex dynamical networks. With the state-coupling complex dynamical network model proposed, many kinds of complex dynamical network models were introduced by considering various practical situations. In this paper, aiming at the data loss which may take place in the communication between any pair of directly connected nodes in a complex dynamical network, we propose a new discrete-time complex dynamical network model by constructing an auxiliary observer and choosing the observer states to compensate for the lost states in the coupling term. By employing Lyapunov stability theory and stochastic analysis, a sufficient condition is derived to guarantee the compensation values finally equal to the lost values, namely, the influence of data loss is finally eliminated in the proposed model. Moreover, we generalize the modeling method to output-coupling complex dynamical networks. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed model.

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Cascading failures of power grids caused by line breakdown

Zhang

et al. 2014

Circuit Theory & Apps

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Summary In recent years, several large blackouts have drawn much attention to security problems in electric power transmission systems all over the world, which were triggered by initial minor disturbances and caused by cascading failures. Many models for cascading failures in power grids based on node attacks have been proposed, where only one kind of load is involved. In real power systems, however, strict measures are normally taken to protect the nodes, i.e. the power stations, so that failures at the nodes can hardly occur. It is much easier for transmission lines to break down, which may lead to cascading failures in entire power systems. Hence, a new model involving active and reactive loads and considering transmission line failures instead of node failures is proposed to understand cascading failures of power grids. When a transmission line breaks down, its load is redistributed to its neighbouring lines according to their respective capacities. It is well known that a power grid's topology and connectivity play a key role in determining its dynamic behaviour. Therefore, cascading failures of power grids with typical topologies, i.e. random, small‐world and scale‐free networks, are investigated using the model proposed and considering transmission line breakdowns. Finally, the model's effectiveness is validated employing real data of the European power grid. Copyright © 2014 John Wiley & Sons, Ltd.

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Stability and synchronization of directed complex dynamical networks with random packet loss: the continuous‐time case and the discrete‐time case

Cited by 9 publications

References 25 publications

Power packet dispatching with second‐order clock synchronization

Power packet dispatching with second‐order clock synchronization

A New Model for Complex Dynamical Networks Considering Random Data Loss

Cascading failures of power grids caused by line breakdown

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