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103 Results Found

  • Article
  • Open Access
316 Views
27 Pages

Exact Feedback Linearisation for a Grid-Connected PV Microinverter with Battery–Ultracapacitor Storage

  • Patricio Gaisse,
  • Javier Muñoz,
  • Diego Rojas,
  • Ricardo Aguilera and ,
  • Marco Rivera and
  • Carlos Restrepo
  • + 1 author+ 0 author

9 September 2026

Photovoltaic microinverters operating under rapidly varying irradiance are subject to large changes in input voltage and power flow, for which controllers designed from a single operating-point linearisation may lose their intended dynamic properties...

(This article belongs to the Special Issue Mathematical Innovations in Electrical Engineering: Theory, Methods and Applications)
  • Article
  • Open Access
2,897 Views
17 Pages

Unsteady Linearisation of Bed Shear Stress for Idealised Storm Surge Modelling

  • Pieter C. Roos,
  • Giordano Lipari,
  • Chris Pitzalis,
  • Koen R. G. Reef and ,
  • Gerhardus H. P. Campmans and
  • Suzanne J. M. H. Hulscher
  • + 1 author+ 0 author

21 October 2021

The modelling of time-varying shallow flows, such as tides and storm surges, is complicated by the nonlinear dependency of bed shear stress on flow speed. For tidal flows, Lorentz’s linearisation circumvents nonlinearity by specifying a (steady) fric...

(This article belongs to the Topic From Coastal Engineering to Integrated Coastal Zone Management)
  • Article
  • Open Access
11 Citations
3,994 Views
22 Pages

Generalised Proportional Integral Control for Magnetic Levitation Systems Using a Tangent Linearisation Approach

  • Lidia M. Belmonte,
  • Eva Segura,
  • Antonio Fernández-Caballero,
  • José A. Somolinos and
  • Rafael Morales

19 June 2021

This paper applies a robust generalised proportional integral (GPI) controller to address the problems of stabilisation and position tracking in voltage-controlled magnetic levitation systems, with consideration of the system’s physical parameters, n...

(This article belongs to the Special Issue Mathematical Problems in Mechanical Engineering)
  • Communication
  • Open Access
11 Citations
7,332 Views
8 Pages

12 April 2013

This study presents a novel application of near infrared (NIR) spectral linearisation for measuring the soluble solids content (SSC) of carambola fruits. NIR spectra were measured using reflectance and interactance methods. In this study, only the in...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
3 Citations
2,676 Views
12 Pages

The accuracy of manufacturing highly characterises the performance of industrial motion control. However, detrimental effects such as nonlinear coupling, model uncertainty and unknown external disturbances severely affect trajectory tracking performa...

(This article belongs to the Section Systems & Control Engineering)
  • Article
  • Open Access
5 Citations
1,839 Views
19 Pages

A Consolidated Linearised Progressive Flooding Simulation Method for Onboard Decision Support

  • Luca Braidotti,
  • Jasna Prpić-Oršić,
  • Serena Bertagna and
  • Vittorio Bucci

In pursuing quick and precise progressive flooding simulations for decision-making support, the linearised method has emerged and undergone refinement in recent years, becoming a reliable tool, especially for onboard decision support. This study cons...

(This article belongs to the Special Issue Design and Analysis of New and Retrofitted Eco-Friendly Ships and Offshore Structures)
  • Article
  • Open Access
119 Views
23 Pages

22 October 2026

The natural frequencies and damping ratios of floating offshore wind turbines are commonly obtained by linearising a coupled OpenFAST model at several rotor azimuths and averaging the transformed matrices over one revolution. The accuracy of this ave...

(This article belongs to the Special Issue Breakthrough Research in Marine Structures)
  • Article
  • Open Access
3 Citations
3,875 Views
19 Pages

A linear frequency domain Navier-Stokes solver is used to retain the influence of turning, thickness, and main geometric parameters on turbine broadband noise. The methodology has been applied to predict the broadband interaction noise produced by a...

  • Review
  • Open Access
6 Citations
3,147 Views
36 Pages

Linear Approximations of Power Flow Equations in Electrical Power System Modelling—A Review of Methods and Their Applications

  • Paweł Pijarski,
  • Damir Jakus,
  • Adrian Belowski,
  • Petar Sarajcev and
  • Dominik Przepiórka

21 November 2025

The power system is constantly changing. New elements are being added. The network structure is being changed. Existing network infrastructure is being modernised. This results in the need to perform various types of computational analyses. These ana...

  • Article
  • Open Access
3 Citations
2,256 Views
12 Pages

Keep It Simple: A Methodological Discussion of Wage Inequalities in the Spanish Hospitality Industry

  • Francisco Sánchez-Cubo,
  • José Mondéjar-Jiménez,
  • Alejandro García-Pozo and
  • Mauro Maltagliati

27 February 2023

Human capital in hospitality has been widely addressed by applying sophisticated econometric methods. However, for the Spanish case, there was a gap in the analyses as the crucial importance of collective agreements was undervalued. This paper redesi...

(This article belongs to the Special Issue Application of Mathematical Methods to Economics, Management, Finance and Social Problems II)
  • Article
  • Open Access
737 Views
41 Pages

27 February 2026

The Transactional Asset Pricing Approach (TAPA) is able to handle asset valuations on a portfolio level of size constrained markets against the backdrop of low liquidity hindering the estimation of the variance of returns. Prompted by a numerical sim...

(This article belongs to the Special Issue Research on Mathematical Modeling and Prediction of Financial Risks)
  • Article
  • Open Access
15 Citations
3,346 Views
23 Pages

9 August 2021

This study investigates the effects of viscous dissipation and a heat source or sink on the magneto-hydrodynamic laminar boundary layer flow of a Jeffrey fluid past a vertical plate. The governing boundary layer non-linear partial differential equati...

(This article belongs to the Special Issue New Trends and Developments in Numerical Analysis)
  • Review
  • Open Access
3 Citations
3,193 Views
27 Pages

6 May 2024

A geometric approach to the integrability and reduction of dynamical systems, both when dealing with systems of differential equations and in classical physics, is developed from a modern perspective. The main ingredients of this analysis are infinit...

(This article belongs to the Special Issue Selected Papers Symmetry 2023—The Fourth Edition of the International Conference on Symmetry)
  • Article
  • Open Access
8 Citations
3,840 Views
19 Pages

16 October 2019

We develop a mixed-integer non-linear programming model for firms’ decarbonisation investment decision-making towards a sustainable environment. Our model seeks the optimal investment for a firm to achieve maximum profit under constraints derived fro...

(This article belongs to the Special Issue Sustainability with Optimization Techniques)
  • Article
  • Open Access
35 Citations
6,326 Views
29 Pages

18 October 2021

The Pazy wing aeroelastic benchmark is a highly flexible wind tunnel model investigated in the Large Deflection Working Group as part of the Third Aeroelastic Prediction Workshop. Due to the design of the model, very large elastic deformations in the...

(This article belongs to the Section Aeronautics)
  • Article
  • Open Access
4 Citations
2,273 Views
17 Pages

Permanent Magnet Synchronous Motors (PMSMs) with high energy efficiency, reliable performance, and a relatively simple structure are widely utilised in various applications. In this paper, a suboptimal controller is proposed for PMSMs without sensors...

(This article belongs to the Topic Numerical Methods and Computer Simulations in Energy Analysis, 2nd Edition)
  • Article
  • Open Access
9 Citations
4,044 Views
16 Pages

17 September 2020

The present paper proposes a linearised hybrid finite element-statistical energy analysis (FE-SEA) formulation for built-up systems with nonlinear joints and excited by random, as well as harmonic, loadings. The new formulation was validated via an a...

  • Article
  • Open Access
256 Views
20 Pages

24 September 2026

In this paper we prove a transfer principle for Banach algebras and use it to show that, for local identities of product type, the algebraic hypotheses of the commutativity theorems of Yood type are superfluous. Such theorems assume an algebraic iden...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
452 Views
35 Pages

17 July 2026

Decarbonising municipal solid waste (MSW) is a defining algorithmic challenge for smart cities: waste-to-energy (WtE), composting and material-recovery investments must be committed years ahead under deep uncertainty about household source-separation...

(This article belongs to the Special Issue Algorithms for Smart Cities (3rd Edition))
  • Article
  • Open Access
11 Citations
4,595 Views
16 Pages

10 May 2021

Lab-based X-ray computed tomography (XCT) systems use X-ray sources that emit a polychromatic X-ray spectrum and detectors that do not detect all X-ray photons with the same efficiency. A consequence of using a polychromatic X-ray source is that beam...

(This article belongs to the Section Optical Sensors)
  • Article
  • Open Access
4 Citations
7,123 Views
11 Pages

12 January 2018

Thermal imaging has been a mainstay of military applications and diagnostic engineering. However, there is currently no formalised procedure for the use of thermal imaging capable of standing up to judicial scrutiny. Using a scientifically sound char...

  • Article
  • Open Access
8 Citations
2,200 Views
27 Pages

The amalgamation of motile microbes in nanofluid (NF) is important in upsurging the thermal conductivity of various systems, including micro-fluid devices, chip-shaped micro-devices, and enzyme biosensors. The current scrutiny focuses on the bioconve...

(This article belongs to the Special Issue 10th Anniversary of Computation—Computational Heat and Mass Transfer (ICCHMT 2023))
  • Article
  • Open Access
477 Views
24 Pages

Multiscale models for infectious disease systems are highly nonlinear. This presents substantial difficulties for both analysis and computation. Consequently, there is a continuous demand for the development of efficient numerical methods that provid...

  • Article
  • Open Access
13 Citations
2,633 Views
24 Pages

Experimental Detection of Nonlinear Dynamics Using a Laser Profilometer

  • Elvio Bonisoli,
  • Luca Dimauro,
  • Simone Venturini and
  • Salvatore Paolo Cavallaro

4 March 2023

This paper investigates a cantilever beam nonlinear dynamic behaviour, on which the nonlinearity is introduced with permanent magnet interactions or with a non-holonomic contact. The experimental time domain responses obtained from non-zero initial c...

(This article belongs to the Special Issue Alternative Techniques in Vibration Measurement and Analysis)
  • Article
  • Open Access
16 Citations
4,383 Views
22 Pages

16 June 2023

Predictive control is an advanced control technique that performs well in various application domains. In this work, linearised control design models are first derived in state-space form from the full nonlinear model of the 5 MW Supergen (Sustainabl...

(This article belongs to the Section Energy Sustainability)
  • Article
  • Open Access
11 Citations
3,417 Views
21 Pages

Initialisation of Optimisation Solvers for Nonlinear Model Predictive Control: Classical vs. Hybrid Methods

  • Maciej Ławryńczuk,
  • Piotr M. Marusak,
  • Patryk Chaber and
  • Dawid Seredyński

28 March 2022

In nonlinear Model Predictive Control (MPC) algorithms, the number of cost-function evaluations and the resulting calculation time depend on the initial solution to the nonlinear optimisation task. Since calculations must be performed fast on-line, t...

(This article belongs to the Special Issue Model Predictive Control System Design and Implementation)
  • Article
  • Open Access
15 Citations
7,106 Views
17 Pages

Dynamic Optimisation of Beer Fermentation under Parametric Uncertainty

  • Satyajeet Bhonsale,
  • Wannes Mores and
  • Jan Van Impe

Fermentation is one of the most important stages in the entire brewing process. In fermentation, the sugars are converted by the brewing yeast into alcohol, carbon dioxide, and a variety of by-products which affect the flavour of the beer. Fermentati...

(This article belongs to the Special Issue Implementation of Digital Technologies on Beverage Fermentation)
  • Article
  • Open Access
36 Citations
4,126 Views
36 Pages

Asymptotic Charges at Null Infinity in Any Dimension

  • Andrea Campoleoni,
  • Dario Francia and
  • Carlo Heissenberg

We analyse the conservation laws associated with large gauge transformations of massless fields in Minkowski space. Our aim is to highlight the interplay between boundary conditions and finiteness of the asymptotically conserved charges in any space-...

(This article belongs to the Special Issue Higher Spin Gauge Theories)
  • Review
  • Open Access
1 Citations
2,339 Views
14 Pages

15 December 2023

In this overview, we discuss the (Schwartz) distributional stress–energy quadrupole and show it is a source of gravitational waves. We provide an explicit formula for the metric of linearised gravity in the case of a background Minkowski spacet...

(This article belongs to the Collection Gravitational Waves as a New Probe for Astronomy and Fundamental Physics)
  • Article
  • Open Access
6 Citations
3,031 Views
13 Pages

Transient System Model for the Analysis of Structural Dynamic Interactions of Electric Drivetrains

  • Marius Franck,
  • Jan Philipp Rickwärtz,
  • Daniel Butterweck,
  • Martin Nell and
  • Kay Hameyer

19 February 2021

In electric drivetrains, the traction machines are often coupled to a gear transmission. For the noise and vibration analysis of such systems, linearised system models in the frequency domain are commonly used. In this paper, a system approach in the...

(This article belongs to the Special Issue Design and Application of Electrical Machines)
  • Article
  • Open Access
16 Citations
5,017 Views
20 Pages

17 April 2021

This paper presents an auto-tuning approach for dual-input power amplifiers using a combination of global optimisation search algorithms and adaptive linearisation in the optimisation of a multiple-input power amplifier. The objective is to exploit t...

(This article belongs to the Special Issue Energy-Efficient Wireless Communication Systems)
  • Article
  • Open Access
18 Citations
7,476 Views
22 Pages

Optimised Heat Pump Management for Increasing Photovoltaic Penetration into the Electricity Grid

  • Cristian Sánchez,
  • Lionel Bloch,
  • Jordan Holweger,
  • Christophe Ballif and
  • Nicolas Wyrsch

25 April 2019

Advanced control of heat pumps with thermal storage and photovoltaics has recently been promoted as a promising solution to help decarbonise the residential sector. Heat pumps and thermal storage offer a valuable flexibilisation mean to integrate sto...

(This article belongs to the Special Issue Integration of PV in Distribution Networks)
  • Article
  • Open Access
1 Citations
386 Views
21 Pages

30 May 2026

We develop a fast Chebyshev spectral collocation method for a coupled system of nonlinear Klein–Gordon equations augmented by Caputo-type fractional memory integrals. The governing equations retain the classical second-order time derivative as...

(This article belongs to the Special Issue Advancements in Applied Mathematics and Computational Physics, 2nd Edition)
  • Article
  • Open Access
432 Views
11 Pages

Lyapunov Stability Analysis of a Generated UAV Controller

  • Christopher Carr,
  • Miguel Martínez-García,
  • Matthew Coombes and
  • Eve Zhang

A Large Language Model-based search for controller synthesis can yield UAV controllers with strong trajectory-tracking performance. However, low tracking error does not necessarily demonstrate closed-loop stability. This study presents a Lyapunov sta...

(This article belongs to the Special Issue Integrated Information Systems for Smart Industrial Electronics)
  • Article
  • Open Access
3 Citations
1,737 Views
19 Pages

Weak Gravity Limit in Newer General Relativity

  • Alexey Golovnev,
  • Sofia Klimova,
  • Alla N. Semenova and
  • Vyacheslav P. Vandeev

We analyse linearised field equations around the Minkowski metric, with its standard flat parallel transport structure, in models of newer GR, which refers to quadratic actions in terms of a nonmetricity tensor. We show that half of the freedom in ch...

(This article belongs to the Special Issue Geometric Theories of Gravity)
  • Article
  • Open Access
13 Citations
2,143 Views
14 Pages

22 January 2024

This study investigates the effects of an unsteady mixed convection nanofluid flow in a rotating vertical cone submerged in spinning nanofluid. Our analysis considered the impacts of heat flux, chemical reactions, and thermal radiation, with the ther...

  • Article
  • Open Access
443 Views
12 Pages

An Iterative Method for Solving the Inverse Problem for an Integral Dynamic Model with a Discontinuous Kernel

  • Aleksandr N. Tynda,
  • Denis N. Sidorov,
  • Nikolai A. Sidorov and
  • Aliona I. Dreglea

18 June 2026

The paper addresses an inverse problem for a nonlinear Volterra integral equation of the first kind with a piecewise continuous kernel whose discontinuity curves are the unknown functions. Such models arise in the theory of developing systems, power...

  • Article
  • Open Access
22 Citations
6,214 Views
11 Pages

Flutter Analysis of a Transonic Steam Turbine Blade with Frequency and Time-Domain Solvers

  • Christian Frey,
  • Graham Ashcroft,
  • Hans-Peter Kersken and
  • Daniel Schlüß

The aim of this study was to assess the capabilities of different simulation approaches to predict the flutter stability of a steam turbine rotor. The focus here was on linear and nonlinear frequency domain solvers in combination with the energy meth...

  • Article
  • Open Access
12 Citations
2,986 Views
29 Pages

16 January 2022

We present a detailed analytical investigation of the optimal control of uniformly heated granular gases in the linear regime. The intensity of the stochastic driving is therefore assumed to be bounded between two values that are close, which limits...

(This article belongs to the Section Non-equilibrium Phenomena)
  • Article
  • Open Access
27 Citations
2,572 Views
12 Pages

2 May 2022

The European Union’s Green Deal emphasises the importance of improving the efficiency of the energy sector in its countries, which is why the issues involved are relevant in both scientific and practical terms. The article sets out the hypothes...

(This article belongs to the Special Issue Financial Development and Energy Consumption Nexus)
  • Article
  • Open Access
1 Citations
2,519 Views
19 Pages

1 July 2021

A natural example of evolution can be described by a time-dependent two degrees-of-freedom Hamiltonian. We choose the case where initially the Hamiltonian derives from a general cubic potential, the linearised system has frequencies 1 and ω>0. The...

(This article belongs to the Section C: Physics)
  • Article
  • Open Access
21 Citations
6,352 Views
30 Pages

Small-Signal Modelling and Stability Assessment of Phase-Locked Loops in Weak Grids

  • Claudio Burgos-Mellado,
  • Alessandro Costabeber,
  • Mark Sumner,
  • Roberto Cárdenas-Dobson and
  • Doris Sáez

30 March 2019

This paper proposes a low-complexity small signal model for a 3-leg converter connected to a balanced three-phase, three-wire weak grid and synchronised to this grid using a PLL implemented in a synchronous rotating d-q axis. A thorough analysis of t...

(This article belongs to the Special Issue Grid-Connected Converters)
  • Article
  • Open Access
10 Citations
3,978 Views
21 Pages

1 July 2020

In this paper, a multibody dynamic model of a railway vehicle that assumes that vertical and lateral dynamics are weakly coupled, has been experimentally validated using an instrumented scaled vehicle running on a 5-inch-wide experimental track. The...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
4 Citations
3,414 Views
24 Pages

28 March 2023

A gas-lifted system in a mature oil well can experience casing-heading instability, which reduces the mean oil production and it is not healthy for the downstream equipment. This instability was removed by implementing a terminal equality-constrained...

(This article belongs to the Special Issue Advances in Petroleum Exploration and Production)
  • Article
  • Open Access
30 Citations
5,276 Views
17 Pages

Design of PI Controllers for Irrigation Canals Based on Linear Matrix Inequalities

  • Teresa Arauz,
  • José M. Maestre,
  • Xin Tian and
  • Guanghua Guan

18 March 2020

A new Proportional-Integral (PI) tuning method based on Linear Matrix Inequalities (LMIs) is presented. In particular, an LMI-based optimal control problem is solved to obtain a sparse feedback that provides the PI tuning. The ASCE Test Canal 1 is us...

(This article belongs to the Section Water Resources Management, Policy and Governance)
  • Feature Paper
  • Article
  • Open Access
52 Citations
5,008 Views
18 Pages

A numerical model associated with wave–current interactions with a moored flexible cylindrical cage was developed based on the finite element method. An analytical model was formulated under the linearised wave theory and small structural response, a...

(This article belongs to the Special Issue Application of Flexible Structure in Marine Engineering)
  • Feature Paper
  • Article
  • Open Access
679 Views
26 Pages

5 March 2026

In recent years, climate change has become increasingly urgent, and governments are intensifying efforts to regulate carbon-intensive industries through policy innovations. The transport sector faces particularly acute decarbonisation challenges due...

  • Article
  • Open Access
3 Citations
2,559 Views
36 Pages

1 November 2022

An emerging area of interest within photovoltaic (PV) centred research is the simulation of the propagation of electromagnetic interference (EMI) and surges within PV installations. An overarching constraint in all simulation-based research is the ac...

(This article belongs to the Section A2: Solar Energy and Photovoltaic Systems)
  • Article
  • Open Access
196 Views
21 Pages

27 October 2026

Ground penetrating radar (GPR) and electrical resistivity tomography (ERT) are increasingly combined for the condition assessment of reinforced concrete, yet published integration schemes generally rely on empirical curve-fitting or qualitative visua...

(This article belongs to the Special Issue Advanced Technologies for Structural Health Monitoring in Engineering Structure)
  • Article
  • Open Access
7 Citations
3,594 Views
18 Pages

5 March 2019

This paper investigates efficiency enhancements in Permanent-Magnet Synchronous Machines (PMSMs) used as generators in wave energy converters. A method is presented, which allows experimental identification of the optimal current vectors leading to m...

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