Applications of Chaos and Nonlinear Dynamics in Engineering by S. Lynch (auth.), Santo Banerjee, Mala Mitra, Lamberto

By S. Lynch (auth.), Santo Banerjee, Mala Mitra, Lamberto Rondoni (eds.)

Chaos and nonlinear dynamics at the beginning built as a brand new emergent box with its beginning in physics and utilized arithmetic. The hugely popular, interdisciplinary caliber of the insights won within the previous couple of a long time has spawned myriad purposes in just about all branches of technology and technology—and even way past. at any place quantitative modeling and research of advanced, nonlinear phenomena is needed, chaos conception and its tools can play a key role.

This quantity concentrates on reviewing the main suitable modern functions of chaotic nonlinear structures as they observe to many of the state of the art branches of engineering. The publication covers the speculation as utilized to robotics, digital and verbal exchange engineering (for instance chaos synchronization and cryptography) in addition to to civil and mechanical engineering, the place its use in harm tracking and keep an eye on is explored). that includes contributions from lively and prime study teams, this assortment is perfect either as a reference and as a ‘recipe publication’ jam-packed with attempted and demonstrated, profitable engineering applications

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Extra resources for Applications of Chaos and Nonlinear Dynamics in Engineering - Vol. 1

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442e−4 mho the resulting chaotic signal, given by the voltage across capacitor C1 , presents the spiral attractor shown in Fig. 6. The attractor was obtained from 1,722 voltage signals present versus delayed by four sampling intervals observations. 04 confirming that the system has a strange or chaotic behavior An attractor for dissipative systems with one or more positive Lyapunov exponents is said to be strange or chaotic [19]. 7 shows the MatLab-Simulink block diagram implementation of the electric arc model, for the fusion state of the furnace (m = 0 e n = 2).

27). 27) These components must then be analyzed with respect to their position in relation to the bus voltage so as to identify their real and imaginary parts. A Phase Locked Loop (PLL) is used for this purpose. The output of the PLL is a unit vector ePLL in phase with the supply system’s voltage. he transformation of the positive sequence of the arc furnace current into the forward rotating frame, defined by the PLL, gives the real and imaginary parts of the positive sequence load current, Id,pos and Iq,pos.

A model of the SVC, including a control strategy for flicker mitigation, and an IEC flickermeter model, are also presented. The models are totally implemented in the ATP-Alternative Transients Program environment. A case study is used to demonstrate the models possibilities, including a methodology to properly adjust the model according to the power system it is connected to, and to the severity level expected for the furnace. 2 The Electric Arc Model The arc presents distinct stages during a typical operation cycle of the furnace, being the melting and refining stages the most relevant when dealing with flicker phenomenon.

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