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The power flow equations are at the core of most of the computations for designing and operating electric power systems. The power flow equations are a system of multivariate nonlinear equations which relate the power injections and…

Optimization and Control · Mathematics 2016-11-17 Dhagash Mehta , Daniel K Molzahn , Konstantin Turitsyn

This paper formalizes an optimal water-power flow (OWPF) problem to optimize the use of controllable assets across power and water systems while accounting for the couplings between the two infrastructures. Tanks and pumps are optimally…

Optimization and Control · Mathematics 2017-11-09 Ahmed S. Zamzam , Emiliano Dall'Anese , Changhong Zhao , Josh A. Taylor , Nicholas D. Sidiropoulos

The gravity fed water distribution network design (WDND) optimization problem consists in determining the pipe diameters of a water network such that hydraulic constraints are satisfied and the total cost is minimized. Traditionally, such…

Artificial Intelligence · Computer Science 2021-12-28 Willian C. S. Martinho , Rafael A. Melo , Kenneth Sörensen

Modern control-command systems often include controllers that perform nonlinear computations to control a physical system, which can typically be described by an hybrid automaton containing high-dimensional systems of nonlinear differential…

Optimization and Control · Mathematics 2013-06-12 Olivier Bouissou , Alexandre Chapoutot , Samuel Mimram

Industrial and power systems rely on engineering predictions of the flow properties of working fluids. The paper proposes a way of the utilization of the vapor quality values along the new retrograde condensation curve in the generation of…

Fluid Dynamics · Physics 2014-02-14 Mark S. Labinov

We show that the energy required by a turbulent flow to displace a given amount of fluid through a straight duct in a given time interval can be reduced by modulating in time the pumping power. The control strategy is hybrid: it is passive,…

Fluid Dynamics · Physics 2024-05-15 Giulio Foggi Rota , Alessandro Monti , Marco E. Rosti , Maurizio Quadrio

Simulations of fluid flow in naturally fractured rocks have implications for several subsurface applications, including energy storage and extraction, and waste storage. We are interested in flow in discrete fracture networks, which…

Numerical Analysis · Mathematics 2018-11-14 Alessio Fumagalli , Eirik Keilegavlen , Stefano Scialò

Partially invariant solution to (2+1)D shallow water equation is constructed and investigated. The solution describes an extension of a stripe, bounded by linear source and drain of fluid. Realizations of smooth flow and of hydraulic jump…

Fluid Dynamics · Physics 2010-08-05 Sergey V. Golovin

For the first time, the development of the nonlinear geometrically exact governing equations and corresponding boundary conditions of hanging cantilevered flexible pipes conveying fluid in the framework of the quaternion system is…

Fluid Dynamics · Physics 2024-06-13 Amir Mehdi Dehrouyeh-Semnani

The impact of different linearisation and iterative solution strategies for fully-coupled pressure-based algorithms for compressible flows at all speeds is studied, with the aim of elucidating their impact on the performance of the…

Computational Physics · Physics 2018-07-16 Fabian Denner

The fast growing scale and heterogeneity of current communication networks necessitate the design of distributed cross-layer optimization algorithms. So far, the standard approach of distributed cross-layer design is based on dual…

Networking and Internet Architecture · Computer Science 2011-08-11 Jia Liu , Hanif D. Sherali

We consider a dissipative flow network that obeys the standard linear nodal flow conservation, and where flows on edges are driven by potential difference between adjacent nodes. We show that in the case when the flow is a monotonically…

Optimization and Control · Mathematics 2015-04-10 Sidhant Misra , Marc Vuffray , Michael Chertkov

Power distribution systems are experiencing a large-scale integration of Converter-Interfaced Distributed Energy Resources (CIDERs). This complicates the analysis and mitigation of harmonics, whose creation and propagation are facilitated…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Andreas Martin Kettner , Lorenzo Reyes-Chamorro , Johanna Kristin Maria Becker , Zhixiang Zou , Marco Liserre , Mario Paolone

In this paper, analytical expressions correlating the volumetric flow rate to the pressure drop are derived for the flow of Carreau and Cross fluids through straight rigid circular uniform pipes and long thin slits. The derivation is based…

Fluid Dynamics · Physics 2015-07-14 Taha Sochi

This paper focuses on cascading line failures in the transmission system of the power grid. Recent large-scale power outages demonstrated the limitations of percolation- and epid- emic-based tools in modeling cascades. Hence, we study…

Systems and Control · Computer Science 2014-02-11 Saleh Soltan , Dorian Mazauric , Gil Zussman

We give a short overview of advantages and drawbacks of the classical formulation of minimum cost network flow problems and solution techniques, to motivate a reformulation of classical static minimum cost network flow problems as optimal…

Optimization and Control · Mathematics 2023-03-24 Onur Tanil Doganay , Kathrin Klamroth , Bruno Lang , Michael Stiglmayr , Claudia Totzeck

In this paper we continue our previous investigation about the use of stress function in the flow of generalized Newtonian fluids through conduits of circular and non-circular (or/and multiply connected) cross sections where we visualize…

Fluid Dynamics · Physics 2025-04-15 Taha Sochi

Integrated electricity and gas systems are constructed to facilitate the gas-fired generation, and the distributed operation of these integrated systems have received much attention due to the increased emphasis on data security and privacy…

Optimization and Control · Mathematics 2025-05-13 Rong-Peng Liu , Wei Sun , Dali Zhou , Yunhe Hou

Anisotropic flow measurements in heavy-ion collisions provide important information on the properties of hot and dense matter. These measurements are based on analysis of azimuthal correlations and might be biased by contributions from…

Nuclear Experiment · Physics 2011-10-18 Ante Bilandzic , Raimond Snellings , Sergei Voloshin

In transmission networks power flows and network topology are deeply intertwined due to power flow physics. Recent literature shows that specific network substructures named bridge-blocks prevent line failures from propagating globally. A…

Optimization and Control · Mathematics 2021-10-15 Leon Lan , Alessandro Zocca