218 results on '"Luis M Fernández"'
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152. MORSE INEQUALITIES ON CERTAIN INFINITE 2-COMPLEXES
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R. Ayala, J.A. Vilches, and Luis M. Fernández
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Discrete mathematics ,Morse homology ,law ,General Mathematics ,Discrete Morse theory ,Homology (mathematics) ,Morse code ,Mathematics::Symplectic Geometry ,Finite set ,Circle-valued Morse theory ,Mathematics ,law.invention ,Morse theory - Abstract
Using the notion of discrete Morse function introduced by R. Forman for finite cw-complexes, we generalize it to the infinite 2-dimensional case in order to get the corresponding version of the well-known discrete Morse inequalities on a non-compact triangulated 2-manifold without boundary and with finite homology. We also extend them for the more general case of a non-compact triangulated 2-pseudo-manifold with a finite number of critical simplices and finite homology.
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- 2007
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153. SOLAR OBSERVATIONS CONTROL SYSTEM ORIENTED TO COST EFFECTIVE LIFE CYCLE
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Luis M. Fernández, Pablo Sierra, Guillermo Álvarez, and Ramón E. Rodriguez
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Engineering ,SCADA ,business.industry ,Computer Applications ,Control system ,Control (management) ,ComputerApplications_COMPUTERSINOTHERSYSTEMS ,Control engineering ,General Medicine ,business ,Automation - Abstract
This paper is about Astrodata, a Supervisory, Control and Data Adquisition system (SCADA). It was designed and implemented employing two important concepts: the effective cost and the sustainable automation. The SCADA is working at the Radio Astronomical Station of Havana. This solution has demonstrated to be more economical than the former solution implemented.
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- 2007
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154. Dynamic models of wind farms with fixed speed wind turbines
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Luis M. Fernández, J.R. Saenz, and Francisco Jurado
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Engineering ,Wind power ,Meteorology ,Renewable Energy, Sustainability and the Environment ,business.industry ,Astrophysics::High Energy Astrophysical Phenomena ,Turbine ,Wind engineering ,Wind speed ,law.invention ,Offshore wind power ,Electric power system ,Wind profile power law ,law ,Electrical network ,Physics::Space Physics ,Astrophysics::Solar and Stellar Astrophysics ,business ,Computer Science::Distributed, Parallel, and Cluster Computing ,Physics::Atmospheric and Oceanic Physics - Abstract
The increasing wind power penetration on power systems requires the development of adequate wind farms models for representing the dynamic behaviour of wind farms on power systems. The behaviour of a wind farm can be represented by a detailed model including the modelling of all wind turbines and the wind farm electrical network. But this detailed model presents a high order model if a wind farm with high number of wind turbines is modelled and therefore the simulation time is long. The development of equivalent wind farm models enables the model order and the computation time to be reduced when the impact of wind farms on power systems is studied. In this paper, equivalent models of wind farms with fixed speed wind turbines are proposed by aggregating wind turbines into an equivalent wind turbine that operates on an equivalent wind farm electrical network. Two equivalent wind turbines have been developed: one for aggregated wind turbines with similar winds, and another for aggregated wind turbines under any incoming wind, even with different incoming winds. The proposed equivalent models provide high accuracy for representing the dynamic response of wind farm on power system simulations with an important reduction of model order and simulation time compare to that of the complete wind farm modelled by the detailed model.
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- 2006
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155. Lie algebras associated with triangular configurations
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Luis M. Fernández and Laura Martín-Martínez
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Discrete mathematics ,Pure mathematics ,Numerical Analysis ,Algebra and Number Theory ,Simple Lie group ,Lie algebra ,Non-associative algebra ,Weighted edge ,Killing form ,Affine Lie algebra ,Lie conformal algebra ,Combinatorial structure ,Adjoint representation of a Lie algebra ,Representation of a Lie group ,Triangular configuration ,Fundamental representation ,Discrete Mathematics and Combinatorics ,Geometry and Topology ,Mathematics - Abstract
A new class of Lie algebras of finite dimension, those which are associated with a certain combinatorial configuration made up by triangles of weighted and non-directed edges, is introduced and a characterization theorem for them is proved. Moreover, some subclasses of such Lie algebras are classified.
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- 2005
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156. Some slant submanifolds of S-manifolds
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Luis M. Fernández, Alfonso Carriazo, and María Belén Hans-Uber
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Pure mathematics ,Mathematics::Complex Variables ,Quantitative Biology::Tissues and Organs ,General Mathematics ,Second fundamental form ,Mathematical analysis ,Immersion (mathematics) ,Mathematics::Differential Geometry ,Mathematics::Symplectic Geometry ,Mathematics - Abstract
We study some special types of slant submanifolds of S-manifolds related to the second fundamental form of the immersion: totally f-geodesic and f-umbilical, pseudo-umbilical and austere submanifolds. We also give several ex- amples of such submanifolds.
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- 2005
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157. ON PSEUDO-EINSTEIN HYPERSURFACES OF H 2n + s
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JOSÉ L. CABRERIZO,LUIS M. FERNÁNDEZ,MANUEL FERNÁNDEZ
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Condensed Matter::Quantum Gases ,Mathematics::Algebraic Geometry ,Mathematics::Complex Variables ,Mathematics::General Topology ,lcsh:Q ,Mathematics::Differential Geometry ,lcsh:Science - Abstract
ON PSEUDO-EINSTEIN HYPERSURFACES OF H 2n + s
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- 2015
158. ON ξ-CONFORMALLY FLAT CONTACT METRIC MANIFOLDS
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GUO ZHEN,JOSÉ L. CABRERIZO,LUIS M. FERNÁNDEZ,MANUEL FERNÁNDEZ
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Quantitative Biology::Biomolecules ,lcsh:Q ,Mathematics::Differential Geometry ,lcsh:Science ,Mathematics::Geometric Topology ,Mathematics::Symplectic Geometry - Abstract
ON ξ-CONFORMALLY FLAT CONTACT METRIC MANIFOLDS
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- 2015
159. ASTRODATA: LOW COST AUTOMATION FOR HAVANA RADIOASTRONOMICAL STATION
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Guillermo Álvarez, Ramón E. Rodriguez, Pablo Sierra, and Luis M. Fernández
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Data processing ,Engineering ,Computer Applications ,business.industry ,Control system ,Transfer (computing) ,Real-time computing ,General Medicine ,business ,Automation ,Telecommunications network - Abstract
This paper is about Low Cost Automation. In it, a basic background about Havana Radioastronomical Station is described. It is showed a Real Time Supervisory and Control System named Astrodata. The System employs Virtual Instruments and Distributed I/O. Transfer information from sensors to computer it is made by communication network. Astrodata creates a database for off-line data processing. Data's primary processing is made by system on-line.
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- 2002
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160. Evaluating reduced models of aggregated different doubly fed induction generator wind turbines for transient stabilities studies
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Luis M. Fernández, Carlos Garcia, and Francisco Jurado
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Engineering ,Equivalent model ,Wind power ,Renewable Energy, Sustainability and the Environment ,Control theory ,business.industry ,law ,Transient (oscillation) ,business ,Doubly fed electric machine ,law.invention - Published
- 2014
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161. [Untitled]
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Guo Zhen, Manuel García Fernández, Luis M. Fernández, and J. L. Cabrerizo
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Riemann curvature tensor ,Curvature of Riemannian manifolds ,General Mathematics ,Mathematical analysis ,Holonomy ,Manifold ,symbols.namesake ,Ricci-flat manifold ,symbols ,Mathematics::Differential Geometry ,Sectional curvature ,Complex manifold ,Mathematics::Symplectic Geometry ,Mathematics ,Scalar curvature - Abstract
In this paper we study a class of K-contact manifolds, namely φ-conformally flat K-contact manifolds and we show that a compact φ-conformally flat K-contact manifold with regular contact vector field is a principal S1-bundle over an almost Kaehler space of constant holomorphic sectional curvature.
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- 1999
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162. [Untitled]
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J. L. Cabrerizo, Alfonso Carriazo, Manuel García Fernández, and Luis M. Fernández
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Pure mathematics ,Hyperbolic geometry ,Mathematics::History and Overview ,Mathematical analysis ,Algebraic geometry ,Submanifold ,Computer Science::Computers and Society ,law.invention ,Sasakian manifold ,Differential geometry ,law ,Computer Science::Computer Vision and Pattern Recognition ,Metric (mathematics) ,Mathematics::Differential Geometry ,Geometry and Topology ,Mathematics::Symplectic Geometry ,Manifold (fluid mechanics) ,Projective geometry ,Mathematics - Abstract
We define and study both bi-slant and semi-slant submanifolds of an almost contact metric manifold and, in particular, of a Sasakian manifold. We prove a characterization theorem for semi-slant submanifolds and we obtain integrability conditions for the distributions which are involved in the definition of such submanifolds. We also study an interesting particular class of semi-slant submanifolds.
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- 1999
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163. SEMI-SYMMETRY PROPERTIES OF S-MANIFOLDS ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
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Luis M. Fernández, Mehmet Akif Akyol, and Aysel Turgut Vanli
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Pure mathematics ,General Mathematics ,Non metric ,Symmetry (geometry) ,Mathematics ,Connection (mathematics) - Published
- 2014
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164. On pseudo-umbilical hypersurfaces ofS-manifolds
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Manuel García Fernández, Luis M. Fernández, and J. L. Cabrerizo
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Pure mathematics ,General Mathematics ,Mathematics - Published
- 1996
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165. Modelling and Control of Wind Turbines
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Carlos Garcia, Luis M. Fernández, and Francisco Jurado
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Engineering ,Wind power ,business.industry ,Rotor (electric) ,Induction generator ,Permanent magnet synchronous generator ,Turbine ,Wound rotor motor ,law.invention ,Mechanical system ,Electric power system ,Control theory ,law ,business - Abstract
This chapter provides a basic understanding of modelling of wind turbines, including both the mechanical and electrical systems, and control schemes that enable a suitable operation of the wind turbines. An overview of the most widely used wind turbine concepts is performed and their models for integration in large power system dynamic simulations are described. The wind turbine concepts studied are: fixed-speed squirrel cage induction generator (FS-SCIG), wound rotor induction generator (WRIG) with variable rotor resistance (VRR), doubly fed induction generator (DFIG), and direct drive synchronous generator (DDSG).
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- 2013
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166. Generalized S-space-forms
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Luis M. Fernández, Ana M. Fuentes, Alicia Prieto-Martín, and Universidad de Sevilla. Departamento de Geometría y Topología
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Pure mathematics ,Closed manifold ,General Mathematics ,Invariant manifold ,Structure (category theory) ,Pseudo-Riemannian manifold ,Mathematics::Geometric Topology ,Statistical manifold ,Combinatorics ,symbols.namesake ,symbols ,Hermitian manifold ,Mathematics::Symplectic Geometry ,Center manifold ,Mathematics - Abstract
We introduce and study generalized S-space-forms. Moreover, we investigate generalized S-space-forms endowed with an additional structure and we obtain some obstructions for them to be S-manifolds.
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- 2013
167. Modelling and Control of Wind Parks
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Luis M. Fernández, Carmen García, and Francisco Jurado
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System requirements ,Wind power ,Power station ,business.industry ,Control (management) ,Environmental science ,Wind park ,Transient (oscillation) ,Grid ,business ,Energy storage ,Marine engineering - Abstract
Wind parks have experienced a great increase over the last years, from small wind parks with a few wind turbines connected to utility distribution systems, to large wind parks connected to transmission networks that may be considered, from the network system operators point of view, as a single wind power plant with operational capabilities similar to a conventional power plant. In this chapter, three main aspects concern to wind park grid integration are considered: the necessity of suitable wind park models for transient stability studies; the wind park control to fulfill system requirements and the application of special devices to enhance grid integration capabilities.
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- 2013
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168. Curvature properties of a semi-symmetric metric connection on S-manifolds
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Aysel Turgut Vanli, Luis M. Fernández, and Mehmet Akif Akyol
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symbols.namesake ,Curvature of Riemannian manifolds ,General Mathematics ,Mathematical analysis ,symbols ,Mathematics::Differential Geometry ,Fundamental theorem of Riemannian geometry ,Curvature ,Levi-Civita connection ,Metric connection ,Mathematics - Abstract
In this study, S-manifolds endowed with a semi-symmetric metric connection naturally related with the S-structure are considered and some curvature properties of such a connection are given. In particular, the conditions of semi-symmetry, Ricci semi-symmetry and Ricci-projective semi-symmetry of this semi-symmetric metric connection are investigated.
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- 2013
169. Comparison of two new methods for voltage harmonic compensation of a stand-alone single phase inverted-based fuel cell
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Francisco Jurado, Luis M. Fernández, Pablo García, Carmen García, and Francisco Llorens
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Engineering ,business.industry ,Proton exchange membrane fuel cell ,law.invention ,law ,Control theory ,Harmonics ,Inverter ,Voltage regulation ,business ,Transformer ,Electronic filter ,Pulse-width modulation ,Voltage - Abstract
This paper presents a comparative study of two new methods for voltage harmonic compensation of a stand-alone single phase inverter-based FC. The system under study is composed of: 1) Proton-Exchange-Membrane (PEM) FC including a unidirectional DC/DC converter, which converts the DC voltage delivered by the FC to the DC bus voltage; 2) single-phase pulse width modulated (PWM) inverter; 3) transformer; 4) L passive filter; and 5) linear and non-linear loads. The dynamic model of this system and the controls applied to the PWM inverter for voltage regulation and harmonic compensation are detailed in this paper. Simulation results show the effectiveness of the two purposed methods for voltage harmonic compensation to acceptable levels defined in grid codes.
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- 2012
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170. Pan American Guideline on Tonsillitis and Adenoid Hypertrophy
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Amarilis M. Melendez-Medina, Luis M. Fernández, Marcos Mocellin, Jose L. Mayorga Butron, Julian Chaverri-Polini, Carlos Gonzalez, and Tania M. Sih
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medicine.medical_specialty ,Acute Tonsillitis ,business.industry ,Tonsillitis ,Guideline ,medicine.disease ,Adenoid ,Clinical Practice ,stomatognathic diseases ,medicine.anatomical_structure ,Otorhinolaryngology ,Clinical decision making ,Internal medicine ,medicine ,Physical therapy ,Surgery ,business ,Adenoid hypertrophy - Abstract
Objective: This evidence-based clinical practice guideline (CPG) aims to improve clinical decision making of general practitioners and specialists in the treatment of acute tonsillitis and adenoid ...
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- 2012
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171. Sizing and energy management of a stand-alone PV/hydrogen/battery-based hybrid system
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Antonio Cano, Francisco Jurado, Luis M. Fernández, Higinio Sánchez, and Manuel Castañeda
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Battery (electricity) ,Engineering ,State of charge ,Energy management ,business.industry ,Hybrid system ,Photovoltaic system ,Control engineering ,Hydrogen tank ,business ,Sizing ,Automotive engineering ,Energy storage - Abstract
This paper presents a sizing method and supervisory control for the suitable energy management of a stand-alone hybrid system with photovoltaic (PV) solar panels, hydrogen subsystem and battery. The battery and hydrogen subsystem, composed of fuel cell (FC), electrolyzer and hydrogen storage tank, act as energy storage and support system. A sizing method based on Simulink Design Optimization (SDO) of MATLAB is used to perform a technical optimization of the components of the hybrid system. The dynamic model of the designed hybrid system is detailed in this paper. The models, implemented in MATLAB-Simulink environment, are designed from commercially available components. It is designed, primarily, to satisfy the load power demand and, secondly, to maintain certain level at the hydrogen tank (hydrogen energy reserve), and at the state of charge (SOC) of the battery bank to extend its life.
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- 2012
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172. Voltage harmonic compensation control for a stand-alone single phase inverter-based fuel cell
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Pablo García, Carmen García, Francisco Jurado, Luis M. Fernández, and Francisco Llorens
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Engineering ,Total harmonic distortion ,business.industry ,Harmonics ,Electrical engineering ,Inverter ,Power factor ,Voltage regulation ,Voltage optimisation ,business ,Energy source ,Pulse-width modulation - Abstract
In recent years, Fuel Cells (FC) have gained interest as energy source for stand-alone and grid connected applications, because they are very high-efficiency and multi-fuel power generators that require neither the burning of conventional fuels nor the mechanical equipment of conventional power generators. When FC are used with inverters for supplying AC loads, harmonic distortion in the supply voltage results in increased heating losses in loads, excite resonances and overload customer power factor correction equipment. Sensitivity of customer equipment to voltage distortion may be dependent on both the magnitude of the distortion levels and the specific harmonic components. For these reasons, it is important to keep the voltage harmonics within recommended levels. This paper presents a new method for voltage harmonic compensation of a stand-alone single phase inverter-based FC. The system under study is composed of: 1) Proton- Exchange-Membrane (PEM) FC including a unidirectional DC/DC converter, which converts the DC voltage delivered by the FC to the DC bus voltage; 2) single-phase pulse width modulated (PWM) inverter; 3) transformer; 4) L passive filter; and 5) linear and non-linear loads. The dynamic model of this system and the control applied to the PWM inverter for voltage regulation and harmonic compensation are detailed in this paper. Simulation results show the effectiveness of the purposed method for voltage harmonic compensation to acceptable levels defined in grid codes.
- Published
- 2012
- Full Text
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173. Sizing methods for stand-alone hybrid systems based on renewable energies and hydrogen
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Manuel Castañeda, Higinio Sánchez, Luis M. Fernández, Francisco Jurado, and Antonio Cano
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Battery (electricity) ,Engineering ,Wind power ,business.industry ,Hybrid system ,Computer data storage ,Photovoltaic system ,Control engineering ,business ,Turbine ,Automotive engineering ,Sizing ,Renewable energy - Abstract
This paper presents a comparative study of four sizing methods for a stand-alone hybrid generation system integrating renewable energies (photovoltaic panels and wind turbine) and backup and storage system based on battery and hydrogen (fuel cell, electrolyzer and hydrogen storage tank). Two of them perform a technical sizing. In one case, the sizing is based on basic equations, and in the other case, an optimal technical sizing is achieved by using Simulink Design Optimization. The other two methods perform an optimal techno-economical sizing by using the hybrid system optimization software HOMER and HOGA, respectively.
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- 2012
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174. Contributors
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Juan Acosta, Rebecca J. Allee, Franziska Althaus, German Alvarez, David Amblas, Tara J. Anderson, Philippe Archambault, Roy A. Armstrong, Saara Bäck, Elaine K. Baker, Martin Baptist, Neville Barrett, J. Vaughn Barrie, Rafael Bartolomé, Igor Bashmachnikov, Richard Bates, Chris Battershill, Nicholas J. Bax, Robin J. Beaman, Yannick C. Beaudoin, Trevor Bell, Reidulv Bøe, Ángel Borja, David A. Bowden, Andreia Braga Henriques, Thomas Bridge, Brendan P. Brooke, Lene Buhl-Mortensen, Pål Buhl-Mortensen, Pere Busquets, Antonio Calafat, Aldino S. Campos, Miquel Canals, Diana Catarino, J.W. Ceri James, Francesco L. Chiocci, Malcolm R. Clark, Susan A. Cochran, Guy R. Cochrane, Roger A. Coggan, Enrique Coiras, Ana Colaço, Jenny S. Collier, Antoine Collin, Kim W. Conway, Alison Copeland, Jenny Cremer, Silvana D’Angelo, Norbert Dankers, Teresa Darbyshire, Andrew W. David, Steven Degraer, Ben De Mol, Lies De Mol, Laura De Santis, Rodolphe Devillers, Víctor Díaz-del-Río, Markus Diesing, Elze Dijkman, Margaret F.J. Dolan, Federica Donda, Terry Done, Pieter J. Doornenbal, Dmitry Dorokhov, Dayton Dove, Isabelle Du Four, Ruth Duran, Pablo Durán-Muñoz, Evan Edinger, Sigrid Elvenes, Lisa Etherington, Elena Ezhova, Annalisa Falace, Douglas Fenner, Luis M. Fernández-Salas, Andrea Fiorentino, Robert Flemming, Thomas Furey, Ibon Galparsoro, H. Gary Greene, J. Germán Rodríguez, Julia E.R. Getsiv-Clemons, Eva Giacomello, Ann E. Gibbs, Josep Maria Gili, João Gonçalves, Emiliano Gordini, Andrea Gori, Eulàlia Gràcia, Janine Guinan, Annelise B. Hagan, Sarah Hamylton, Jodi Harney, Peter T. Harris, Andrew D. Heap, Jonathan Heifetz, Jean-Pierre Henriet, William D. Heyman, Ana Hilário, Nicole Hill, Emily R. Hirsch, Hanne Hodnesdal, Kyle R. Hogrefe, Stuart R. Humber, Veerle A.I. Huvenne, Eduardo J. Isidro, Glenn Johnstone, Juan Jose Dañobeitia, Sara Kaleb, Anu M. Kaskela, Rudy J. Kloser, Shinichi Kobara, Olga Kocheshkova, Anthony A.P. Koppers, Vladimir E. Kostylev, Aarno T. Kotilainen, Geoffroy Lamarche, Caroline Lavoie, Yvonne Leahy, Philippe LeBlanc, Irati Legorburu, Jouni Leinikki, Charles Lindenbaum, Michelle Linklater, Claudio Lo Iacono, Bernard Long, Nieves López-González, Vanessa Lucieer, Matthew A. McArthur, Kevin Mackay, Andrew S.Y. Mackie, Ruggero Marocco, Ana Martins, Eleonora Martorelli, Douglas G. Masson, Monique MacKenzie, Ana Mendonça, Gui Menezes, L. Miguel Fernández-Salas, Neil C. Mitchell, Richard Mleczko, Geert Moerkerke, Angela Morando, Telmo Morato, Joshu Mountjoy, Araceli Muñoz, F. Javier Murillo, Iñigo Muxika, David F. Naar, Scott L. Nichol, Scott D. Nodder, Brenda L. Norcross, Philip E. O’Brien, Covadonga Orejas, Arne Pallentin, Marta Pascual, Abigail D.C. Pattenden, Bryony Pearce, Kim Picard, Mário R. Pinho, Jennifer Pinnion, Oscar Pizarro, Filipe M. Porteiro, Alexandra L. Post, Pere Puig, Marji Puotinen, Marijn Rabaut, E.Ivor S. Rees, Susana Requena, Jennifer R. Reynolds, Marta Ribó, Martin J. Riddle, Stephen R. Rintoul, Jesus Rivera, Jed T. Roberts, Karen A. Robinson, Sean C. Rooney, Ashley A. Rowden, José L. Rueda, Daria Ryabchuk, Stephen Sagar, William G. Sanderson, Ricardo S. Santos, Miriam Sayago-Gil, Jan Seiler, Alberto Serrano, S.Kalei Shotwell, Jodie Smith, John R. Smith, Samantha Smith, Stephen J. Smith, Tom Spencer, Hanumant Singh, Vadim Sivkov, Jonathan S. Stark, Ian J. Stewart, Thomas C. Stieglitz, David R. Tappin, Fernando Tempera, Terje Thorsnes, Brian J. Todd, Luke Trusel, Giorgio Tunis, Paul A. Tyler, Page C. Valentine, Jan A. van Dalfsen, Thaiënne A.G.P. van Dijk, Willem van Duin, Sytze van Heteren, Vera Van Lancker, Katrien J.J. van Landeghem, Ronnie A. van Overmeeren, David Van Rooij, Juan T. Vázquez, Koen Verbruggen, Anne-Laure Verdier, Els Verfaillie, W. Waldo Wakefield, Jody M. Webster, Leslie Whaylen Clift, Curt E. Whitmire, Alan Williams, Stefan Williams, Colin D. Woodroffe, Dawn J. Wright, Joseph Wroblewski, Richard J. Wysoczanski, K.Lynne Yamanaka, Mary Yoklavich, and Vladimir Zhamoida
- Published
- 2012
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175. Supervisory control system for DFIG wind turbine with energy storage system based on battery
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Luis M. Fernández, Carmen García, Raúl Sarrias, and Francisco Jurado
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Battery (electricity) ,Engineering ,Wind power ,Supervisory control ,business.industry ,Control theory ,Energy management ,AC power ,business ,Energy source ,Turbine ,Energy storage - Abstract
Energy storage is key to expanding the use of wind power, since it allows the wind turbines to smooth the power fluctuations caused by the intermittent and largely unpredictable nature of wind power. This paper presents the modeling and control of a doubly fed induction generator (DFIG) wind turbine with a lead-acid battery as energy storage system. A supervisory control system is developed for a suitable energy management of the energy sources. The modeling and control of this hybrid generation system is evaluated by simulation under different operating conditions.
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- 2011
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176. The curvature of submanifolds of anS-space form
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Luis M. Fernández, J. L. Cabrerizo, and Manuel García Fernández
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Riemann curvature tensor ,Pure mathematics ,Mean curvature ,General Mathematics ,Space form ,Curvature ,Submanifold ,symbols.namesake ,symbols ,Curvature form ,Mathematics::Differential Geometry ,Invariant (mathematics) ,Mathematics::Symplectic Geometry ,Mathematics ,Scalar curvature - Abstract
Many authors have studied the geometry of submanifolds of Kaehlerian and Sasakian manifolds. On the other hand, David E. Blair has initiated the study of S-manifolds, which reduce, in particular cases, to Sasakian manifolds [1]. I. Mihai [7] and Ornea [8] have studied CR-submanifolds of S-manifolds. The purpose of the present paper is to investigate some properties ofinvariant and anti-invariant submanifolds of an S-manifold whose invariant f-sectional curvature is constant, that is, of an S-space form. Specifically, those ones related with the curvature tensor fields and with the scalar curvature on the submanifold. In Section 1 we review basic formulas for submanifolds in Riemannian manifolds and, in Section 2, for S-manifolds. In Sections 3 and 4 we study anti-invariant and invariant submanifolds, respectively, of an S-space form. Finally, in the last section we give some examples.
- Published
- 1993
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177. On normal CR-submanifolds of S-manifolds
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J. L. Cabrerizo, Luis M. Fernández, and Manuel García Fernández
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Pure mathematics ,General Mathematics ,Mathematical analysis ,Riemannian manifold ,Submanifold ,Induced metric ,Manifold ,Section (category theory) ,Lie algebra ,Covariant transformation ,Mathematics::Differential Geometry ,Metric tensor (general relativity) ,Mathematics::Symplectic Geometry ,Mathematics - Abstract
0. Introduction. Many authors have studied the geometry of sub-manifolds of Kaehlerian and Sasakian manifolds. On the other hand, DavidE. Blair has initiated the study of S-manifolds, which reduce, in particularcases, to Sasakian manifolds ([1, 2]).I. Mihai ([8]) and L. Ornea ([9]) have investigated CR-submanifolds ofS-manifolds. The purpose of the present paper is to study a special kind ofsuch submanifolds, namely the normal CR-submanifolds.In Sections 1 and 2, we review basic formulas and definitions for sub-manifolds in Riemannian manifolds and in S-manifolds, respectively, whichwe shall use later. In Section 3, we introduce normal CR-submanifolds ofS-manifolds and we study some properties of their geometry. Finally, in Sec-tion 4, we consider those submanifolds in the case of the ambient S-manifoldbeing an S-space form.1. Preliminaries. Let N be a Riemannian manifold of dimension nand M an m-dimensional submanifold of N. Let g be the metric tensor fieldon N as well as the induced metric on M. We denote by ∇ the covariantdifferentiation in N and by ∇ the covariant differentiation in M determinedby the induced metric. Let T(N) (resp. T(M)) be the Lie algebra of vectorfields in N (resp. in M) and T(M)
- Published
- 1993
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178. Control strategies of a fuel-cell hybrid tramway integrating two dc/dc converters
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Juan P. Torreglosa, Luis M. Fernández, Pablo García, Carmen García, and Francisco Jurado
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Battery (electricity) ,Engineering ,Regenerative brake ,business.industry ,Energy management ,Hybrid system ,Proton exchange membrane fuel cell ,Control engineering ,Converters ,business ,Driving cycle ,Energy storage - Abstract
This paper compares two control strategies of a fuel cell (FC)-battery powered hybrid system integrating two dc/dc converters for the Metro-Centro tramway (400 kW) from Seville, Spain. Besides, modeling of each component is briefly presented. These models have been implemented in MATLAB/SIMULINK environment. A Polymer Electrolyte Membrane (PEM) FC is used in this work. The FC model characteristics are selected from a Nuvera 127 kW PEM FC. Two PEM FCs connected in parallel operate as primary energy source and a group of Ni-MH battery supplements the output of the FC during tramway acceleration or whenever else needed and provides regenerative braking energy recapture capability. Finally, the simulation results of both control configurations (Cascade and States Control Strategies) are presented for the real driving cycle of the tramway. The results demonstrate the hybrid system capability to meet appropriate driving cycle in both cases.
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- 2010
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179. Control strategies for a fuel-cell hybrid tramway
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Luis M. Fernández, Carmen García, Pablo García, Francisco Jurado, and J. Perez
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Battery (electricity) ,Engineering ,business.industry ,Electrical engineering ,Proton exchange membrane fuel cell ,Converters ,Automotive engineering ,Regenerative brake ,Control system ,Hybrid system ,business ,MATLAB ,computer ,Driving cycle ,computer.programming_language - Abstract
This paper compares two control configurations for a fuel cell (FC)-battery powered hybrid system for the Metro-Centro tramway (800 kW) from Seville, Spain. Besides, modeling of each components is briefly presented. These models have been implemented in MATLAB/SIMULINK environment. Polymer Electrolyte Membrane (PEM) FC model used in the simulations realized is a simplification of Jay T. Pukrushpan et al. model. The model characteristics are selected from a Nuvera 127 kW PEM FC. Four of this PEM FC´s are the primary energy source and a group of Ni-MH battery supplements the output of the FC during tramway acceleration or whenever else needed and provides regenerative braking energy recapture capability. Finally, the simulation results for both control configurations (States and Cascade Control Strategies) are presented for the real driving cycle of the tramway. The results demonstrate the hybrid system capability to meet appropriate driving cycle in both caseshese instructions give you basic guidelines for preparing camera-ready papers for conference proceedings.
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- 2010
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180. Fuel cell-battery hybrid system integrating two DC/DC converters for transport applications
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Pablo García, Luis M. Fernández, Carmen García, and Francisco Jurado
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Battery (electricity) ,Engineering ,Energy recovery ,Braking chopper ,Regenerative brake ,business.industry ,Energy management ,Hybrid system ,Electrical engineering ,business ,Induction motor ,Energy storage - Abstract
This paper presents the arrangement, modeling and control of a hybrid system for a tramway. In order to supply the power consumption of the tramway (due to the auxiliary services and four traction induction motor drives), the hybrid system presents two power sources: 1) a Polymer Electrolyte Membrane (PEM) Fuel Cell (FC) as primary energy source; and 2) a Ni-MH battery as secondary energy source, which serves as a supplement to the FC for tramway acceleration or for energy recovery during braking. In addition, a braking chopper is required to absorb the regenerative energy produced by motors deceleration when it cannot be absorbed by the battery due to its limitations. Both FC and battery are coupled to a dc/dc power converter, which enables an active control of the two power sources. An energy management system (EMS) is responsible for: 1) the appropriate distribution of the power demanded by the tramway between the power sources; and 2) the braking chopper operation when required during regenerative braking. The simulation results show the hybrid system capability to allow the tramway to properly follow the driving cycle.
- Published
- 2009
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181. Fuel cell-battery hybrid system for transport applications
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Luis M. Fernández, Carlos Garcia, Pablo García, and Francisco Jurado
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Battery (electricity) ,Electric motor ,Engineering ,Braking chopper ,Regenerative brake ,business.industry ,Hybrid system ,Boost converter ,Electrical engineering ,business ,Energy storage ,Driving cycle - Abstract
This paper presents a fuel cell-battery powered hybrid system for transport applications, more specifically for a tramway. It uses a Polymer Electrolyte Membrane (PEM) fuel cell (FC) as primary energy source and a Ni-MH battery as secondary energy source, which serves as a supplement to the FC during the driving cycle. The hybrid system supplies the power consumption of the auxiliary services and the traction system, which is composed of four traction induction motor drives. The energy management system (EMS) of the hybrid tramway fixes the reference signals for: 1) the FC dc/dc boost converter in order to accurately distribute power between two electrical sources; 2) the electric motor drives; 3) energy dissipation in the braking chopper when required during regenerative braking. The proposed hybrid system is assessed for a real driving cycle. The results show the hybrid system capability to allow the tramway to properly follow the driving cycle.
- Published
- 2009
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182. The Structure of Some Classes of Contact Metric Manifolds
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Mukut Mani Tripathi, Luis M. Fernández, and Mohit Kumar Dwivedi
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Weyl tensor ,Pure mathematics ,Riemann curvature tensor ,General Mathematics ,Mathematical analysis ,Conformal map ,Manifold ,Sasakian manifold ,Einstein tensor ,symbols.namesake ,symbols ,Ricci decomposition ,Mathematics ,Scalar curvature - Abstract
We study the conformal curvature tensor and the contact con- formal curvature tensor in Sasakian and/or K-contact manifolds. We flnd a necessary and su-cient condition for a Sasakian manifold to be '-conformally ∞at. We also flnd some necessary conditions for a K-contact manifold to be '-contact conformally ∞at. Then we give a structure theorem for '-contact conformally ∞at Sasakian manifolds. It is also proved that a Sasakian mani- fold cannot be »-contact conformally ∞at.
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- 2009
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183. A classification of certain submanifolds of an S-manifold
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Manuel García Fernández, J. L. Cabrerizo, and Luis M. Fernández
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Pure mathematics ,General Mathematics ,Ricci-flat manifold ,Differential topology ,Topology ,Connected sum ,Manifold ,Mathematics - Published
- 1991
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184. Efficacy of an adverse drug reaction electronic reporting system integrated into a hospital information system
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Luis M Fernández, Aránzazu Aguinagalde, Margarita Fernández-Benítez, Irene Aquerreta, Carlos Lacasa, and Ana Ortega
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Hospital information system ,Drug ,Pediatrics ,medicine.medical_specialty ,media_common.quotation_subject ,Hospital Bed Capacity, 300 to 499 ,MEDLINE ,Nurses ,Pharmacists ,Health informatics ,Hospitals, Private ,Professional Role ,Physicians ,Information system ,Medicine ,Adverse Drug Reaction Reporting Systems ,Humans ,Pharmacology (medical) ,media_common ,Retrospective Studies ,business.industry ,Retrospective cohort study ,medicine.disease ,Hospital Information Systems ,Medical emergency ,business ,Reporting system ,Adverse drug reaction - Abstract
Background: Adverse drug reaction (ADR) spontaneous reporting is the primary method of postmarketing drug surveillance: although it is an important part of postmarketing drug surveillance, it is underused. Before 2004, almost no ADRs were reported in our 400-bed hospital. As an electronic hospital information system was available in our hospital, we developed a tool (ADR-RS-IHIS) for ADR reporting integrated into the hospital information system to facilitate reporting through easy use, automatic input of certain information, increased accessibility, real-time review, and intervention. Objective: To analyze the efficacy of the ADR-RS-IHIS in increasing ADR reporting to the national drug surveillance system, propose and implement improvements to increase ADR reporting, and evaluate the impact of these improvements, Methods: Every ADR reported through the ADR-RS-IHIS was evaluated retrospectively. Two study phases for evaluating ADR-RS-IHIS efficacy were identified. Phase I took place April 2004-August 2006; in April 2006, an interim analysis was performed to propose improvements. Phase II took place September 2006-April 2007 for evaluation of the impact made by the proposed improvements. Efficacy in the phase I and improvement impact on phase II were measured as the number of ADRs reported to the national drug surveillance system Results: The rate of ADRs reported per month to the national system increased from 0 before 2004 to 0.91 in phase I and 1.62 in phase II (2.25 if delayed reporting was considered). Improvement measures included: allowing nurses to report ADRs in the same way as physicians and pharmacists, automatic form filling of certain information from the electronic hospital information system, easier ADR report analysis, and automatic notification to the allergy department regarding suspected allergies. Conclusions: An ADR reporting system integrated into the electronic hospital information system is effective for increasing the number of ADRs reported to the national drug surveillance system. Allowing nurses to report ADRs in a manner similar to that of physicians and pharmacists, as well as automatic entry of certain data into the form, contributes to the improvement of the system.
- Published
- 2008
185. Aggregation of doubly fed induction generators wind turbines under different incoming wind speeds
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Carmen García, Luis M. Fernández, Francisco Jurado, and J.R. Saenz
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Wind power ,business.industry ,Astrophysics::High Energy Astrophysical Phenomena ,Induction generator ,AC power ,Turbine ,Wind speed ,Electric power system ,Wind profile power law ,Power system simulation ,Physics::Space Physics ,Astrophysics::Solar and Stellar Astrophysics ,Environmental science ,business ,Physics::Atmospheric and Oceanic Physics ,Marine engineering - Abstract
The increasing wind power penetration in power systems requires the development of adequate wind farms models to be included in power system simulation software in order to represent the behavior of wind farms in power systems. The modeling of wind farms with high number of wind turbines requires the development of a high order model if all the wind turbines are modeled and therefore it is necessary a long simulation time. This paper presents a new way of aggregation of doubly fed induction generators wind turbines under different incoming winds by an equivalent wind turbine to approximate the active and reactive powers of aggregated wind turbines. The proposed aggregation method allows the wind farm to be represented by one single equivalent wind turbine with an important reduction of both model order and simulation time.
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- 2005
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186. Minimal slant submanifolds of the smallest dimension in S-manifolds
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Alfonso Carriazo, Luis M. Fernández, María Belén Hans-Uber, Universidad de Sevilla. Departamento de Geometría y Topología, Universidad de Sevilla. FQM327: Geometria (Semi) Riemanniana y Aplicaciones, and Junta de Andalucía
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Pure mathematics ,minimal submanifold ,Mathematics::Complex Variables ,General Mathematics ,Smallest dimension ,slant submanifold ,Mathematics::History and Overview ,Mathematical analysis ,Minimal submanifold ,$S$-manifold ,smallest dimension ,53C40 ,Mathematics::Geometric Topology ,Slant submanifold ,53C25 ,S-manifold ,Dimension (vector space) ,Mathematics::Differential Geometry ,Mathematics::Symplectic Geometry ,Mathematics - Abstract
We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some relations between them and anti-invariant submanifolds in S-manifolds, similar to those ones proved by B.-Y. Chen for slant surfaces and totally real surfaces in Kaehler manifolds. Plan Andaluz de Investigación (Junta de Andalucía)
- Published
- 2005
187. Air Pollution Assessment Through a Multiagent-Based Traffic Simulation
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Leonardo Garrido, José Luis Aguirre, Ramón F. Brena, Luis M Fernández, and Jesús Héctor Domínguez
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Traffic signal ,Computer science ,ComputerSystemsOrganization_MISCELLANEOUS ,Real-time computing ,Air pollution ,medicine ,Traffic simulation ,ComputerApplications_COMPUTERSINOTHERSYSTEMS ,Duration (project management) ,medicine.disease_cause ,Road traffic ,Simulation ,Intersection (aeronautics) - Abstract
The present document explores how air pollution can be assessed from a multiagent point of view. In order to do so, a traffic system was simulated using agents as a way to measure if air pollution levels go down when the traffic lights employ a multigent cooperative system that negotiates the green light duration of each traffic light, in order to minimize the time a car has to wait to be served in an intersection. The findings after running some experiments where lanes of each direction are congested incrementally showed, that using this technique, there is a significant decrease in air pollution over the simulated area which means that traffic lights controlled by the multiagent system do improve the levels of air pollution.
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- 2005
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188. Control system of doubly fed induction generators based wind turbines with production limits
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J.R. Saenz, Carmen García, Francisco Jurado, and Luis M. Fernández
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Electric power system ,Engineering ,Electricity generation ,Wind power ,Control theory ,business.industry ,Induction generator ,AC power ,business ,Electrical efficiency ,Power control - Abstract
Doubly fed induction generators based wind turbines are today one of the most widely used generation systems in wind farms due to the ability of variable speed operation and with decoupled control of active and reactive power. Nowadays these wind turbines are operating without generation limits, but the increasing wind power penetration in power systems must lead to that the wind farms have to operate with production limits imposed by the electrical system operators to maintain the stability of the electrical network. In this paper, a new control system of doubly fed induction generators based wind turbines is proposed for the control of active and reactive powers according to the imposed power limitations. This control system presents an active power controller, reactive power controller and pitch angle controller, in order to operate the wind turbine with optimum power efficiency or with limited active power and the demanded reactive power. This generation control provides a better grid integration of doubly fed induction generators
- Published
- 2005
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189. Neural network control of grid-connected fuel cell plants for enhancement of power quality
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Francisco Jurado, Luis M. Fernández, and J.R. Saenz
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Electricity generation ,Artificial neural network ,Computer science ,Electronic engineering ,Inverter ,Solid oxide fuel cell ,Physics::Chemical Physics ,Grid ,Pulse-width modulation ,Voltage ,Compensation (engineering) - Abstract
This paper describes the application of a solid-oxide fuel cell for compensation of distribution system voltage. A grid-connected fuel-cell plant consists of the fuel cell and the voltage-source inverter. The flux-vector control is used very effectively for the control of this inverter, where artificial neural networks implement the space-vector pulse width modulation. Comprehensive results are presented to assess the performance of this device to alleviate power quality problems present on the ac grid.
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- 2004
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190. O353 Evaluation of ultrasound needs in first trimester medical abortion with misoprostol
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D. Yi, A. Velazco, R. Garrido, Luis M. Fernández Salas, R. Gómez Ponce de León, and K. Andersen Clark
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First trimester ,medicine.medical_specialty ,business.industry ,Obstetrics ,medicine.medical_treatment ,Ultrasound ,Obstetrics and Gynecology ,Medicine ,General Medicine ,business ,Misoprostol ,Medical abortion ,medicine.drug - Published
- 2009
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191. Submanifolds associated with graphs.
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Alfonso Carriazo and Luis M. Fernández
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MANIFOLDS (Mathematics) ,DIFFERENTIAL geometry ,GRAPHIC methods ,HERMITIAN structures - Abstract
In this paper we present an interesting relationship between graph theory and differential geometry by defining submanifolds of almost Hermitian manifolds associated with certain kinds of graphs. We show some results about the possibility of a graph being associated with a submanifold and we use them to characterize CR--submanifolds by means of trees. Finally, we characterize submanifolds associated with graphs in a four--dimensional almost Hermitian manifold. [ABSTRACT FROM AUTHOR]
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- 2004
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192. SISTEMA TELEMETRICO PARA UNA RED SISMICA CUADRIPARTITA
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Luis M. Fernández
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General Energy ,Geophysics - Abstract
Se describe un sistema telemétrico de micro-ondas, para una red cuadripartita para una red sismológica. Se detallan los instrumentos, circuitos y métodos de análisis empleados para los datos a obtener. Su principal uso es la determinación, con suficiente rapidez y exactitud, de los epicentros, con fines de información para medidas de emergencia y prevención de maremotos.
- Published
- 1969
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193. Discrete Morse theory on graphs
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R. Ayala, J.A. Vilches, Luis M. Fernández, and Desamparados Fernández-Ternero
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Discrete mathematics ,Gradient vector field ,Gradient path ,Discrete Morse theory ,Morse–Smale system ,Morse code ,law.invention ,Discrete system ,Infinite locally finite graph ,Morse homology ,law ,Geometry and Topology ,Cerf theory ,Critical element ,Mathematics::Symplectic Geometry ,Circle-valued Morse theory ,Mathematics ,Morse theory - Abstract
We characterize the topology of a graph in terms of the critical elements of a discrete Morse function defined on it. Besides, we study the structure and some properties of the gradient vector field induced by a discrete Morse function defined on a graph. Finally, we get results on the number of non-homologically equivalent excellent discrete Morse functions defined on some kind of graphs.
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194. Combinatorial structures associated with Lie algebras of finite dimension
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Luis M. Fernández, Juan Núñez, and Alfonso Carriazo
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Numerical Analysis ,Algebra and Number Theory ,Lie algebra ,Non-associative algebra ,Graph algebra ,Killing form ,Affine Lie algebra ,Bracket product ,Lie conformal algebra ,Graded Lie algebra ,Combinatorics ,Combinatorial structure ,Adjoint representation of a Lie algebra ,Representation of a Lie group ,Weighted graph ,Oriented digraph ,Discrete Mathematics and Combinatorics ,Geometry and Topology ,Mathematics - Abstract
Given a Lie algebra of finite dimension, with a selected basis of it, we show in this paper that it is possible to associate it with a combinatorial structure, of dimension 2, in general. In some particular cases, this structure is reduced to a weighted graph. We characterize such graphs, according to they have 3-cycles or not.
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195. A note on the pure Morse complex of a graph
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R. Ayala, Antonio Quintero, J.A. Vilches, and Luis M. Fernández
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Discrete mathematics ,Pure complex of discrete Morse functions ,Discrete Morse theory ,Morse–Smale system ,Morse code ,Critical simplex ,law.invention ,Combinatorics ,Simplicial complex ,Morse homology ,Acyclic matching ,law ,Discrete Morse function ,Geometry and Topology ,Cerf theory ,Hasse diagram ,Mathematics::Symplectic Geometry ,Circle-valued Morse theory ,Morse theory ,Mathematics - Abstract
The goal of this work is to study the structure of the pure Morse complex of a graph, that is, the simplicial complex given by the set of all possible classes of discrete Morse functions (in Forman's sense) defined on it. First, we characterize the pure Morse complex of a tree and prove that it is collapsible. In order to study the general case, we consider all the spanning trees included in a given graph G and we express the pure Morse complex of G as the union of all pure Morse complexes corresponding to such trees.
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196. The number of critical elements of discrete Morse functions on non-compact surfaces
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J.A. Vilches, R. Ayala, and Luis M. Fernández
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Surface (mathematics) ,Pure mathematics ,Non-compact simplicial complex ,Gradient vector field ,Gradient path ,Discrete Morse theory ,Morse code ,law.invention ,Combinatorics ,law ,Geometry and Topology ,Cerf theory ,Critical element ,Topology (chemistry) ,Circle-valued Morse theory ,Mathematics ,Morse theory - Abstract
This paper is focused on looking for links between the topology of a connected and non-compact surface with finitely many ends and any proper discrete Morse function which can be defined on it. More precisely, we study the non-compact surfaces which admit a proper discrete Morse function with a given number of critical elements. In particular, given any of these surfaces, we obtain an optimal discrete Morse function on it, that is, with the minimum possible number of critical elements.
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197. Modeling fuel cell plants on the distribution system using identification algorithms
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Francisco Jurado, J.R. Saenz, and Luis M. Fernández
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Distribution system ,Identification (information) ,Engineering ,Power system simulation ,business.industry ,Linear system ,Fuel cells ,Solid modeling ,Time domain ,business ,Transfer function ,Algorithm - Abstract
To determine the potential impacts of fuel cells on future distribution system, dynamic models of fuel cells should be created, reduced in order, and scattered throughout test feeders. This paper presents the implementation of an efficient method for computing low order linear system models of solid oxide fuel cells (SOFCs) from time domain simulations. The method is the Box-Jenkins algorithm for calculating the transfer function of a linear system from samples of its input and output.
198. Slant submanifolds in Sasakian manifolds
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Alfonso Carriazo, J. L. Cabrerizo, Luis M. Fernández, and Manuel Fernández
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Pure mathematics ,General Mathematics ,Mathematics::History and Overview ,Mathematical analysis ,Holomorphic function ,Special class ,Computer Science::Computers and Society ,Manifold ,Complex geometry ,Computer Science::Computer Vision and Pattern Recognition ,Euclidean geometry ,Immersion (mathematics) ,Mathematics::Differential Geometry ,Mathematics::Symplectic Geometry ,Mathematics - Abstract
In this paper, we show new results on slant submanifolds of analmost contact metric manifold. We study and characterize slant submanifolds of K-contact and Sasakian manifolds. We also study the special class of three-dimen-sional slant submanifolds. We give several examples of slant submanifolds.1991 Mathematics Subject Classification. 53C15, 53C40.0. Introduction. Slant immersions in complex geometry were defined by B.-Y.Chen as a natural generalization of both holomorphic immersions and totally realimmersions [2]. Examples of slant immersions into complex Euclidean spaces C 2 andC 4 were given by Chen and Tazawa [2, 4, 5], while slant immersions of Ka¨hler C-spaces into complex projective spaces were given by Maeda, Ohnita and Udagawa[9].In a recent paper [7], A. Lotta has introduced the notion of slant immersion of aRiemannian manifold into an almost contact metric manifold and he has provedsome properties of such immersions. A. Lotta and A. M. Pastore have obtainedexamples of slant submanifolds in the Sasakian-space-form R
199. Reduced model of DFIGs wind farms using aggregation of wind turbines and equivalent wind
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Francisco Jurado, J.R. Saenz, Luis M. Fernández, and Carmen García
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Engineering ,Wind power ,business.industry ,Astrophysics::High Energy Astrophysical Phenomena ,Computation ,Induction generator ,Grid ,Turbine ,Electric power system ,Power system simulation ,Control theory ,Physics::Space Physics ,Astrophysics::Solar and Stellar Astrophysics ,business ,Physics::Atmospheric and Oceanic Physics ,Voltage - Abstract
In this paper, a new reduced model of wind farms with doubly-fed induction generators wind turbines is proposed for representing all the wind turbines of a wind farm by one single equivalent wind turbine. The simulation results demonstrate the effectiveness of the proposed reduced model to represent the collective response of a wind farm in the point of common coupling to grid during power system dynamic simulations. This model can be used for voltage and angle stability investigations of large power system with an important reduction of the model order and computation time.
200. Discrete morse inequalities on infinite graphs
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J.A. Vilches, R. Ayala, and Luis M. Fernández
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Discrete mathematics ,Applied Mathematics ,Finite case ,Discrete Morse theory ,Morse code ,Theoretical Computer Science ,law.invention ,Combinatorics ,Computational Theory and Mathematics ,law ,Discrete Mathematics and Combinatorics ,Order (group theory) ,Geometry and Topology ,Cerf theory ,Circle-valued Morse theory ,Morse theory ,Mathematics - Abstract
The goal of this paper is to extend to infinite graphs the known Morse inequalities for discrete Morse functions proved by R. Forman in the finite case. In order to get this result we shall use a special kind of infinite subgraphs on which a discrete Morse function is monotonous, namely, decreasing rays. In addition, we shall use this result to characterize infinite graphs by the number of critical elements of discrete Morse functions defined on them.
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