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Streamflow, as a natural phenomenon, is continuous in time and so are the meteorological variables which influence its variability. In practice, it can be of interest to forecast the whole flow curve instead of points (daily or hourly). To…

Applications · Statistics 2016-10-20 Pierre Masselot , Sophie Dabo-Niang , Fateh Chebana , Taha B. M. J. Ouarda

As the power system continues to be flooded with intermittent resources, it becomes more important to accurately assess the role of hydro and its impact on the power grid. While hydropower generation has been studied for decades, dependency…

Signal Processing · Electrical Eng. & Systems 2024-03-07 Dewei Wang , Bhaskar Mitra , Sameer Nekkalapu , Sohom Datta , Bibi Matthew , Rounak Meyur , Heng Wang , Slaven Kincic

The significant electrical distance between wind power collection points and the main grid poses challenges for weak grid-connected wind power systems. A new type of voltage oscillation phenomenon induced by repeated low voltage…

Systems and Control · Electrical Eng. & Systems 2024-05-09 Qiping Lai , Chen Shen , Dongsheng Li

A stochastic Euler equation is proposed, describing the motion of a particle density, forced by the random action of virtual photons in vacuum. After time averaging, the Euler equation is reduced to the Reynolds equation, well studied in…

Quantum Physics · Physics 2019-05-09 Roumen Tsekov , Eyal Heifetz , Eliahu Cohen

The hydrodynamic equations for a model of a confined quasi-two-dimensional gas of smooth inelastic hard spheres are derived from the Boltzmann equation for the model, using a generalization of the Chapman-Enskog method. The heat and…

Statistical Mechanics · Physics 2015-06-11 J. Javier Brey , V. Buzón , P. Maynar , M. I. García de Soria

In this paper, we are concerned with the non-relativistic limit of a class of computable approximation models for radiation hydrodynamics. The models consist of the compressible Euler equations coupled with moment closure approximations to…

Analysis of PDEs · Mathematics 2022-04-18 Zhiting Ma , Wen-An Yong

In the context of autonomous airships, several works in control and guidance use wind velocity to design a control law. However, in general, this information is not directly measured in robotic airships. This paper presents three…

Systems and Control · Electrical Eng. & Systems 2020-03-11 Apolo Silva Marton , André Ricardo Fioravanti , José Raul Azinheira , Ely Carneiro de Paiva

In power networks based on Inverter-Based Resources (IBRs), fast controllers cause frequency and voltage dynamics to overlap. Thus, it becomes critical to assess the overall dynamic performance of such networks through a combined…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Rodrigo Bernal , Taulant Kerci , Federico Milano

In the variational principle leading to the Euler equation for a perfect fluid, we can use the method of undetermined multiplier for holonomic constraints representing mass conservation and adiabatic condition. For a dissipative fluid, the…

Fluid Dynamics · Physics 2012-06-03 Hiroki Fukagawa , Youhei Fujitani

The instantaneous power generation from a hydroelectric turbine is proportional to the product of head difference and turbine flow. The equation relating power to hydraulic variables is therefore nonlinear. Hence, optimization problems…

Optimization and Control · Mathematics 2018-05-04 Jorn H. Baayen , Julia Rauw , Teresa Piovesan

With focus on anharmonic chains, we develop a nonlinear version of fluctuating hydrodynamics, in which the Euler currents are kept to second order in the deviations from equilibrium and dissipation plus noise are added. The required…

Statistical Mechanics · Physics 2016-06-16 Herbert Spohn

Power flow analysis is used to evaluate the flow of electricity in the power system network. Power flow calculation is used to determine the steady-state variables of the system, such as the voltage magnitude/phase angle of each bus and the…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Thuan Pham , Xingpeng Li

This paper discusses a framework to design elements of the plant and control systems for floating offshore wind turbines in an integrated manner using linear parameter-varying models. Multiple linearized models derived from aeroelastic…

Systems and Control · Electrical Eng. & Systems 2023-11-09 Athul Krishna Sundarrajan , Yong Hoon Lee , James T Allison , Daniel Zalkind , Daniel Herber

We have investigated thermodynamic and dynamic properties as well as the dielectric constant of water-metha\-nol model mixtures in the entire range of composition by using constant pressure molecular dynamics simulations at ambient…

Soft Condensed Matter · Physics 2015-12-25 E. Galicia-Andrés , H. Dominguez , L. Pusztai , O. Pizio

Motivated by the work on stagnation-point type exact solutions (with infinite energy) of 3D Euler fluid equations by Gibbon et al. (1999) and the subsequent demonstration of finite-time blowup by Constantin (2006) we introduce a…

Fluid Dynamics · Physics 2022-02-15 Rachel M. Mulungye , Dan Lucas , Miguel D. Bustamante

This paper studies the single-unit pumped-storage hydropower (PSH) plant scheduling problem with reservoir dynamics, generation and pumping limits, ramping constraints, start-up and shut-down costs, and minimum up/down-time requirements. A…

Systems and Control · Electrical Eng. & Systems 2026-05-06 Bo Yang , Kai Pan , Mohammad Reza Hesamzadeh

In this work, a one-dimensional simulation code was developed for both single-phase and two-phase systems, focusing on time-dependent Euler equations for gas and particles. These equations, non-linear hyperbolic conservation laws, describe…

Fluid Dynamics · Physics 2024-08-05 M. Giselle Fernández-Godino

These lecture notes provide a comprehensive guide on Grid Modeling of Renewable Energy, offering a foundational overview of power system network modeling, power flow, and load flow algorithms critical for electrical and renewable energy…

Systems and Control · Electrical Eng. & Systems 2024-10-31 Sohail Khan

We consider several modifications of the Euler system of fluid dynamics including its pressureless variant driven by non-local interaction repulsive-attractive and alignment forces in the space dimension $N=2,3$. These models arise in the…

Analysis of PDEs · Mathematics 2015-12-11 José A. Carrillo , Eduard Feireisl , Piotr Gwiazda , Agnieszka Świerczewska-Gwiazda

The ever-increasing use of renewable energy sources has underlined the role of power electronic converters as an interface between these resources and the power grid. One application of these converters is in three-phase inverters utilized…

Systems and Control · Electrical Eng. & Systems 2024-02-02 Arash Esfandiari , Mohammad Naser Hashemnia