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    Tipping Cascades in Complex Networks: Dynamics and Control

    , M.Sc. Thesis Sharif University of Technology Shahrabi, Ali (Author) ; Rahimi Tabar, Mohammad Reza (Supervisor)
    Abstract
    Tipping points occur in diverse systems in various disciplines such as ecology, climate science, economy, sociology, and engineering. Critical thresholds in system parameters or state variables at which a tiny perturbation can lead to a qualitative change in the system exist in many subsystems in complex systems. These thresholds are called tipping points, and these subsystems are called tipping elements. Additionally, many systems with tipping points can be modeled as networks of coupled multistable subsystems. Domino-like tippings are called tipping cascades. Considering that these tipping cascades are primarily unprecedented, it is essential to study the dynamics and control of these... 

    Short term fluctuations of wind and solar power systems

    , Article New Journal of Physics ; Volume 18, Issue 6 , 2016 ; 13672630 (ISSN) Anvari, M ; Lohmann, G ; Wächter, M ; Milan, P ; Lorenz, E ; Heinemann, D ; Rahimi Tabar, M. R ; Peinke, J ; Sharif University of Technology
    Institute of Physics Publishing 
    Abstract
    Wind and solar power are known to be highly influenced by weather events and may ramp up or down abruptly. Such events in the power production influence not only the availability of energy, but also the stability of the entire power grid. By analysing significant amounts of data from several regions around the world with resolutions of seconds to minutes, we provide strong evidence that renewable wind and solar sources exhibit multiple types of variability and nonlinearity in the time scale of seconds and characterise their stochastic properties. In contrast to previous findings, we show that only the jumpy characteristic of renewable sources decreases when increasing the spatial size over...