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This paper proposes a data-driven approach for optimal power flow (OPF) based on the stacked extreme learning machine (SELM) framework. SELM has a fast training speed and does not require the time-consuming parameter tuning process compared…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Xingyu Lei , Zhifang Yang , Juan Yu , Junbo Zhao , Qian Gao , Hongxin Yu

These are lecture notes for various Summer and Winter schools that I have given. The notes describe the methodology called Variational Modelling, and focus on the application to the modelling of gradient-flow systems. I describe the…

Mathematical Physics · Physics 2014-02-11 Mark A. Peletier

First we present an approach to formulate unbalanced three-phase power flow problems for general networks that explicitly separates device models and network models. A device model consists of (i) an internal model and (ii) a conversion…

Optimization and Control · Mathematics 2022-07-27 Steven H. Low

Traditional methods in educational research often fail to capture the complex and evolving nature of learning processes. This chapter examines the use of complex systems theory in education to address these limitations. The chapter covers…

Computers and Society · Computer Science 2025-02-03 Mohammed Saqr , Daryn Dever , Sonsoles López-Pernas , Christophe Gernigon , Gwen Marchand , Avi Kaplan

In this study we investigate shallow turbidity density currents and underflows from mechanical point of view. We propose a simple hyperbolic model for such flows. On one hand, our model is based on very basic conservation principles. On the…

Fluid Dynamics · Physics 2020-02-20 Valery Liapidevskii , Denys Dutykh , Marguerite Gisclon

The concept of random dynamical system is a comparatively recent development combining ideas and methods from the well developed areas of probability theory and dynamical systems. Due to our inaccurate knowledge of the particular physical…

Dynamical Systems · Mathematics 2007-05-23 Vitor Araujo

This chapter provides an introduction to the modeling and control of power generation from wind turbine systems. In modeling, the focus is on the electrical components: electrical machine (e.g. permanent-magnet synchronous generators),…

Systems and Control · Computer Science 2017-03-28 Christian Dirscherl , Christoph M. Hackl , Korbinian Schechner

Voltage prediction in distribution grids is a critical yet difficult task for maintaining power system stability. Machine learning approaches, particularly Graph Neural Networks (GNNs), offer significant speedups but suffer from poor…

Machine Learning · Computer Science 2025-12-09 Ehimare Okoyomon , Arbel Yaniv , Christoph Goebel

Probabilistic power flow (PPF) analysis is critical to power system operation and planning. PPF aims at obtaining probabilistic descriptions of the state of the system with stochastic power injections (e.g., renewable power generation and…

Systems and Control · Electrical Eng. & Systems 2023-08-23 Kejun Chen , Yu Zhang

Reduced-order modelling and system identification can help us figure out the elementary degrees of freedom and the underlying mechanisms from the high-dimensional and nonlinear dynamics of fluid flow. Machine learning has brought new…

Fluid Dynamics · Physics 2021-04-13 Nan Deng , Luc R. Pastur , Bernd R. Noack

This paper proposes a hydraulic model based on the Euler turbine equations suitable for the purpose of grid integration studies of variable speed hydropower (VSHP). The work was motivated by the need to assess how the dynamic performance…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Tor Inge Reigstad , Kjetil Uhlen

We discuss the problems of modeling, control, and decision support in complex dynamic systems from a general system theoretic point of view. The main characteristics of complex systems and of system approach to complex system study are…

Systems and Control · Computer Science 2013-12-30 Armen Bagdasaryan

Discrete models have a long tradition in engineering, including finite state machines, Boolean networks, Petri nets, and agent-based models. Of particular importance is the question of how the model structure constrains its dynamics. This…

Molecular Networks · Quantitative Biology 2011-08-02 Reinhard Laubenbacher , David Murrugarra , Alan Veliz-Cuba

This paper develops generalizations of empowerment to continuous states. Empowerment is a recently introduced information-theoretic quantity motivated by hypotheses about the efficiency of the sensorimotor loop in biological organisms, but…

Artificial Intelligence · Computer Science 2012-02-01 Tobias Jung , Daniel Polani , Peter Stone

The power flow equations relate bus voltage phasors to power injections via the network admittance matrix. These equations are central to the key operational and protection functions of power systems (e.g., optimal power flow scheduling and…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Samuel Talkington , Daniel Turizo , Sergio A. Dorado-Rojas , Rahul K. Gupta , Daniel K. Molzahn

We present an original undergraduate level compilation for the physics of electromechanical systems with special attention to power flow. An approach based on energy considerations is presented that is specially suited to compute the…

Physics Education · Physics 2016-03-28 J. M. Diaz de la Cruz

Simulating fluid flows in different virtual scenarios is of key importance in engineering applications. However, high-fidelity, full-order models relying, e.g., on the finite element method, are unaffordable whenever fluid flows must be…

Fluid Dynamics · Physics 2021-11-24 Stefania Fresca , Andrea Manzoni

Transient stability analysis (TSA) plays an important role in power system analysis to investigate the stability of power system. Traditionally, transient stability analysis methods have been developed using time domain simulation by means…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Xiang Zhang , Renchang Dai , Peng Wei , Yijing Liu , Guangyi Liu , Zhiwei Wang

Load flow analysis is a fundamental technique used by electrical engineers to simulate and evaluate power system behavior under steady-state conditions. It enables efficient operation and control by determining how active and reactive power…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Sampson E. Nwachukwu

System dynamics is a methodology that is widely used in many academic fields. It explains the behavior of social and economic systems with models that capture complex causality and feedback effects. This 'practice paper' discusses the…