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This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. The book isolates and methodically develops key ideas by working through illustrative examples that are subsequently synthesized into general principles. Many of the seminal examples of stability theory, including orbital stability of the KdV solitary wave, and asymptotic stability of viscous shocks for scalar conservation laws, are treated in a textbook fashion for the first time. It presents spectral theory from a dynamical systems and functional analytic point of view, including essential and absolute spectra, and develops general nonlinear stability results for dissipative and Hamiltonian systems. The structure of the linear eigenvalue problem for Hamiltonian systems is carefully developed, including the Krein signature and related stability indices. The Evans function for the detection of point spectra is carefully developed through a series of frameworks of increasing complexity. Applications of the Evans function to the Orientation index, edge bifurcations, and large domain limits are developed through illustrative examples. The book is intended for first or second year graduate students in mathematics, or those with equivalent mathematical maturity. It is highly illustrated and there are many exercises scattered throughout the text that highlight and emphasize the key concepts. Upon completion of the book, the reader will be in an excellent position to understand and contribute to current research in nonlinear stability.
Nonlinear waves --- Nonlinear wave equations --- Frequency stability --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Mathematics. --- Dynamics. --- Ergodic theory. --- Partial differential equations. --- Statistical physics. --- Partial Differential Equations. --- Nonlinear Dynamics. --- Dynamical Systems and Ergodic Theory. --- Physics --- Mathematical statistics --- Partial differential equations --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Math --- Science --- Statistical methods --- Differential equations, partial. --- Differentiable dynamical systems. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Nonlinear wave equations. --- Nonlinear waves. --- Frequency stability.
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The current power system should be renovated to fulfill social and industrial requests and economic advances. Hence, providing economic, green, and sustainable energy are key goals of advanced societies. In order to meet these goals, recent features of smart grid technologies need to have the potential to improve reliability, flexibility, efficiency, and resiliency. This book aims to address the mentioned challenges by introducing advanced approaches, business models, and novel techniques for the management and control of future smart grids.
History of engineering & technology --- power system oscillations --- stability --- Prony method --- intrinsic mode functions (IMFs) --- wide-area measurement system (WAMS) --- phasor measurement units (PMUs) --- frequency stability --- load frequency control --- communication system delay --- virtual inertia --- microgrid --- recursive damped least squares --- black-box modeling --- online identification --- energy management system --- demand-side management --- uncertainty --- energy storage --- distributed generation --- activity recognition --- activity detection --- activity prediction --- smart building --- energy and comfort management --- digital microgrid --- power grid --- integer linear programming --- routing energy --- distributed energy resources --- Dijkstra algorithm --- Islanding detection --- modern power system --- anti-islanding --- protection --- sequence components --- earth fault location --- negative sequence current --- holistic power system architecture --- smart grid --- fractal design --- fractal grid --- LINK-paradigm --- market design --- local electricity market --- large-scale --- distributed generations --- low-voltage active distribution network --- islanded mode --- non-homogeneous model --- synchronization --- power system oscillations --- stability --- Prony method --- intrinsic mode functions (IMFs) --- wide-area measurement system (WAMS) --- phasor measurement units (PMUs) --- frequency stability --- load frequency control --- communication system delay --- virtual inertia --- microgrid --- recursive damped least squares --- black-box modeling --- online identification --- energy management system --- demand-side management --- uncertainty --- energy storage --- distributed generation --- activity recognition --- activity detection --- activity prediction --- smart building --- energy and comfort management --- digital microgrid --- power grid --- integer linear programming --- routing energy --- distributed energy resources --- Dijkstra algorithm --- Islanding detection --- modern power system --- anti-islanding --- protection --- sequence components --- earth fault location --- negative sequence current --- holistic power system architecture --- smart grid --- fractal design --- fractal grid --- LINK-paradigm --- market design --- local electricity market --- large-scale --- distributed generations --- low-voltage active distribution network --- islanded mode --- non-homogeneous model --- synchronization
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In the first decades of the current millennium, the contribution of photovoltaic and wind energy systems to power generation capacity has grown extraordinarily all around the world; in some countries, these systems have become two of the most relevant sources to meet the needs of energy supply. This Special Issue deals with all aspects of the development, implementation, and exploitation of systems and installations that operate with both sources of energy.
Research & information: general --- Technology: general issues --- wind energy conversion system --- distributed control --- battery energy storage system --- consensus algorithm --- photovoltaic --- voltage stability --- grid capacity --- penetration level --- frequency stability --- Egypt’s national grid --- renewable energies --- photovoltaic (PV) --- energy challenge --- policy options --- technological development --- market development --- battery storage --- concentrated solar power (CSP), installed capacity --- solar energy resources --- solar thermal plants --- thermal energy storage (TES) --- maximum power point (MPP) --- maximum power point tracking (MPPT) --- perturbe and observe (P& --- O) --- incremental conductance (IC) --- off-shore wind farms --- wind farm aggregation --- admittance model order reduction --- HVDC diode rectifiers --- grid-forming wind turbines --- efficiency improvement --- photovoltaic inverters --- parallel inverters --- wind turbine emulator --- wind turbine energy systems --- photovoltaics --- two-stage grid-connected PV inverters --- reduced DC-link --- sensorless MPPT --- wind energy conversion system --- distributed control --- battery energy storage system --- consensus algorithm --- photovoltaic --- voltage stability --- grid capacity --- penetration level --- frequency stability --- Egypt’s national grid --- renewable energies --- photovoltaic (PV) --- energy challenge --- policy options --- technological development --- market development --- battery storage --- concentrated solar power (CSP), installed capacity --- solar energy resources --- solar thermal plants --- thermal energy storage (TES) --- maximum power point (MPP) --- maximum power point tracking (MPPT) --- perturbe and observe (P& --- O) --- incremental conductance (IC) --- off-shore wind farms --- wind farm aggregation --- admittance model order reduction --- HVDC diode rectifiers --- grid-forming wind turbines --- efficiency improvement --- photovoltaic inverters --- parallel inverters --- wind turbine emulator --- wind turbine energy systems --- photovoltaics --- two-stage grid-connected PV inverters --- reduced DC-link --- sensorless MPPT
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This book comprises ten articles covering different aspects of power quality issues in microgrids and distributed generation (DG) systems, including 1) Detection and estimation of power quality; 2) Modeling; 3) Harmonic control for DG systems and microgrids; 4) Stability improvements for microgrids. Different power quality phenomena and solution were studied in the included papers, such as harmonics, resonance, frequency deviation, voltage sag, and fluctuation. From a network point of view, some papers studied the harmonic and stability issues in standalone microgrids which are more likely to cause power quality problems. Other papers discussed the power quality problems in microgrids which are weakly interconnected with the main distribution grid. In view of the published papers, there is a trend that increasingly advanced modeling, analysis, and control schemes were applied in the studies. Moreover, the latest works focus not only on single-unit problems but also multiple units or network issues. Although some of the hot topics are not included, this book covers multiple aspects of the current power quality research frontier, and represents a particularly useful reference book for frontier researchers in this field.
power quality improvement --- differential feedforward --- weak grid --- data testing --- distributed generations --- voltage-source converter --- dynamic frequency support --- coordinated control --- grid-connection/island switching process --- virtual damping --- PV generation --- virtual inertia --- autonomous microgrid --- optimal virtual resistor --- multi-inverter system --- standalone microgrid --- unscented Kalman filter --- HVDC --- voltage fluctuation --- solar photovoltaic system --- nonlinear dynamic system --- state estimation --- voltage stability --- diesel generator --- voltage control --- multi-time scale --- sliding mode control --- power system simulation --- stability analysis --- grid impedance --- modeling method --- shunt inverter --- voltage compensation --- 2nd-order lowpass filter --- virtual synchronous generator --- microgrid --- output impedance --- hybrid energy storage --- grid-connected inverter --- parameter identification --- wind farm --- frequency stability --- harmonic suppression --- current source mode (CSM) --- voltage source mode (VSM) --- stand-alone microgrid --- frequency control --- vector control --- power quality control --- grid-tied inverter --- submarine cables --- line commutated converter --- reference current compensation --- power quality --- series inverter --- impedance enhancement
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Dynamic stability basically deals with the interactions between the system's components. Following a disturbance, the system's variables undergo transitions that can induce oscillations in active and reactive power generation, resulting in the occurrence of voltage oscillatory modes and frequency deviation in the system. Depending on the entity of the disturbance, the small- or large-signal stability of the system under consideration can be investigated. The introduction of RES-based generation that does not participate in the network services (i.e., frequency and voltage regulation) due to lack of special controls will undoubtedly affect both the overall frequency and voltage stability. Large-scale transient stability is also a concern not to be overlooked: inverter-based wind and solar generation have different angle/speed swing behaviors with respect to traditional generation due to reduced inertia, different voltage swing behaviors due to different voltage control systems, different power flow patterns, and different displacements of synchronous generation at key locations. Therefore, although power system stability and dynamics have played a very central role in the management and study of electrical power systems thus far, it is also true that the emerging scenario requires new methodologies, technologies, and analyses. In this light, the current Special Issue aims to collect contributions (i.e., research papers and review articles) on power system dynamics and stability from experts in academia and industry.
Technology: general issues --- History of engineering & technology --- power system stability --- inertia estimation --- PMU --- microgrids --- frequency control --- grid-forming --- 100% converter-interfaced generation --- virtual synchronous machine --- forced oscillation --- inverter-based resources (IBRs) --- grid vulnerability analysis --- active power modulation --- virtual inertia --- fast frequency measurement --- fast frequency regulation --- distributed energy resources --- ancillary services --- power hardware-in-the-loop --- legacy resources --- large perturbation angle stability --- small perturbation angle stability --- voltage stability --- synthetic inertia --- demand response --- reactive compensation --- power system restoration --- primary frequency control --- frequency nadir estimation --- low inertia systems --- real-time dynamic simulation --- national power grid --- cyber physical system (CPS) --- co-simulation --- battery energy storage system (BESS) --- energy management system (EMS) --- load modelling --- line modelling --- power system analysis --- transient stability --- small-signal stability --- inverter-based resources --- modular multilevel converters --- primary frequency regulation --- battery energy storage system --- Ornstein–Uhlenbeck stochastic process --- compound poisson stochastic process --- frequency stability --- rotor angle stability --- power system inertia --- converter-interfaced generation --- renewable power generators
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The current power system should be renovated to fulfill social and industrial requests and economic advances. Hence, providing economic, green, and sustainable energy are key goals of advanced societies. In order to meet these goals, recent features of smart grid technologies need to have the potential to improve reliability, flexibility, efficiency, and resiliency. This book aims to address the mentioned challenges by introducing advanced approaches, business models, and novel techniques for the management and control of future smart grids.
History of engineering & technology --- power system oscillations --- stability --- Prony method --- intrinsic mode functions (IMFs) --- wide-area measurement system (WAMS) --- phasor measurement units (PMUs) --- frequency stability --- load frequency control --- communication system delay --- virtual inertia --- microgrid --- recursive damped least squares --- black-box modeling --- online identification --- energy management system --- demand-side management --- uncertainty --- energy storage --- distributed generation --- activity recognition --- activity detection --- activity prediction --- smart building --- energy and comfort management --- digital microgrid --- power grid --- integer linear programming --- routing energy --- distributed energy resources --- Dijkstra algorithm --- Islanding detection --- modern power system --- anti-islanding --- protection --- sequence components --- earth fault location --- negative sequence current --- holistic power system architecture --- smart grid --- fractal design --- fractal grid --- LINK-paradigm --- market design --- local electricity market --- large-scale --- distributed generations --- low-voltage active distribution network --- islanded mode --- non-homogeneous model --- synchronization --- n/a
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This Special Issue will include papers related to the planning, protection, and control of smart grids and microgrids, and their applications in the industry, transportation, water, waste, and urban and residential infrastructures. Authors are encouraged to present their latest research; reviews on topics including methods, approaches, systems, and technology; and interfaces to other domains such as big data, cybersecurity, human–machine, sustainability, and smart cities. The planning side of microgrids might include technology selection, scheduling, interconnected microgrids, and their integration with regional energy infrastructures. The protection side of microgrids might include topics related to protection strategies, risk management, protection technologies, abnormal scenario assessments, equipment and system protection layers, fault diagnosis, validation and verification, and intelligent safety systems. The control side of smart grids and microgrids might include control strategies, intelligent control algorithms and systems, control architectures, technologies, embedded systems, monitoring, and deployment and implementation.
Technology: general issues --- History of engineering & technology --- hybrid power plant --- off-grid electricity systems --- model-based design --- state-space model --- voltage stability --- frequency stability --- small-signal analysis --- control tuning --- controller validation --- critical clearing times --- diesel generators --- grid-feeding photovoltaics --- grid-forming battery storage systems --- stand-alone hybrid microgrids --- system stability degree --- the micro-hybrid method --- transient stability assessment --- power flow control --- power fluctuations --- renewable energy sources --- demand uncertainty --- augmenting path --- renewable energy --- microgrids --- simulation --- optimization --- battery energy storage system --- economic dispatch problem --- nonlinear programming formulation --- optimal reallocation of batteries --- mathematical optimization --- battery swap station --- charging station --- demand management --- demand response --- electric vehicle --- electricity markets --- power quality --- Vehicle-to-Grid --- smart grid --- power system --- distributed generation --- micro-grid --- load flow --- measurement uncertainties --- Isolated/Islanded Microgrids --- planning --- operation --- Demand-Side Management --- Microgrid --- DER --- MILP --- run-time --- full time-series optimization --- data reduction --- DER-CAM --- XENDEE --- DC microgrid --- power conditioner system --- scalable microgrid
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The current power system should be renovated to fulfill social and industrial requests and economic advances. Hence, providing economic, green, and sustainable energy are key goals of advanced societies. In order to meet these goals, recent features of smart grid technologies need to have the potential to improve reliability, flexibility, efficiency, and resiliency. This book aims to address the mentioned challenges by introducing advanced approaches, business models, and novel techniques for the management and control of future smart grids.
power system oscillations --- stability --- Prony method --- intrinsic mode functions (IMFs) --- wide-area measurement system (WAMS) --- phasor measurement units (PMUs) --- frequency stability --- load frequency control --- communication system delay --- virtual inertia --- microgrid --- recursive damped least squares --- black-box modeling --- online identification --- energy management system --- demand-side management --- uncertainty --- energy storage --- distributed generation --- activity recognition --- activity detection --- activity prediction --- smart building --- energy and comfort management --- digital microgrid --- power grid --- integer linear programming --- routing energy --- distributed energy resources --- Dijkstra algorithm --- Islanding detection --- modern power system --- anti-islanding --- protection --- sequence components --- earth fault location --- negative sequence current --- holistic power system architecture --- smart grid --- fractal design --- fractal grid --- LINK-paradigm --- market design --- local electricity market --- large-scale --- distributed generations --- low-voltage active distribution network --- islanded mode --- non-homogeneous model --- synchronization --- n/a
Choose an application
In the first decades of the current millennium, the contribution of photovoltaic and wind energy systems to power generation capacity has grown extraordinarily all around the world; in some countries, these systems have become two of the most relevant sources to meet the needs of energy supply. This Special Issue deals with all aspects of the development, implementation, and exploitation of systems and installations that operate with both sources of energy.
wind energy conversion system --- distributed control --- battery energy storage system --- consensus algorithm --- photovoltaic --- voltage stability --- grid capacity --- penetration level --- frequency stability --- Egypt’s national grid --- renewable energies --- photovoltaic (PV) --- energy challenge --- policy options --- technological development --- market development --- battery storage --- concentrated solar power (CSP), installed capacity --- solar energy resources --- solar thermal plants --- thermal energy storage (TES) --- maximum power point (MPP) --- maximum power point tracking (MPPT) --- perturbe and observe (P& --- O) --- incremental conductance (IC) --- off-shore wind farms --- wind farm aggregation --- admittance model order reduction --- HVDC diode rectifiers --- grid-forming wind turbines --- efficiency improvement --- photovoltaic inverters --- parallel inverters --- wind turbine emulator --- wind turbine energy systems --- photovoltaics --- two-stage grid-connected PV inverters --- reduced DC-link --- sensorless MPPT
Choose an application
This Special Issue will include papers related to the planning, protection, and control of smart grids and microgrids, and their applications in the industry, transportation, water, waste, and urban and residential infrastructures. Authors are encouraged to present their latest research; reviews on topics including methods, approaches, systems, and technology; and interfaces to other domains such as big data, cybersecurity, human–machine, sustainability, and smart cities. The planning side of microgrids might include technology selection, scheduling, interconnected microgrids, and their integration with regional energy infrastructures. The protection side of microgrids might include topics related to protection strategies, risk management, protection technologies, abnormal scenario assessments, equipment and system protection layers, fault diagnosis, validation and verification, and intelligent safety systems. The control side of smart grids and microgrids might include control strategies, intelligent control algorithms and systems, control architectures, technologies, embedded systems, monitoring, and deployment and implementation.
hybrid power plant --- off-grid electricity systems --- model-based design --- state-space model --- voltage stability --- frequency stability --- small-signal analysis --- control tuning --- controller validation --- critical clearing times --- diesel generators --- grid-feeding photovoltaics --- grid-forming battery storage systems --- stand-alone hybrid microgrids --- system stability degree --- the micro-hybrid method --- transient stability assessment --- power flow control --- power fluctuations --- renewable energy sources --- demand uncertainty --- augmenting path --- renewable energy --- microgrids --- simulation --- optimization --- battery energy storage system --- economic dispatch problem --- nonlinear programming formulation --- optimal reallocation of batteries --- mathematical optimization --- battery swap station --- charging station --- demand management --- demand response --- electric vehicle --- electricity markets --- power quality --- Vehicle-to-Grid --- smart grid --- power system --- distributed generation --- micro-grid --- load flow --- measurement uncertainties --- Isolated/Islanded Microgrids --- planning --- operation --- Demand-Side Management --- Microgrid --- DER --- MILP --- run-time --- full time-series optimization --- data reduction --- DER-CAM --- XENDEE --- DC microgrid --- power conditioner system --- scalable microgrid