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Today, the flow of electricity is bidirectional, and not all electricity is centrally produced in large power plants. With the growing emergence of prosumers and microgrids, the amount of electricity produced by sources other than large, traditional power plants is ever-increasing. These alternative sources include photovoltaic (PV), wind turbine (WT), geothermal, and biomass renewable generation plants. Some renewable energy resources (solar PV and wind turbine generation) are highly dependent on natural processes and parameters (wind speed, wind direction, temperature, solar irradiation, humidity, etc.). Thus, the outputs are so stochastic in nature. New data-science-inspired real-time solutions are needed in order to co-develop digital twins of large intermittent renewable plants whose services can be globally delivered.

Technology: general issues --- History of engineering & technology --- self-healing grid --- machine-learning --- feature extraction --- event detection --- optimization techniques --- manta ray foraging optimization algorithm --- multi-objective function --- radial networks --- optimal power flow --- automatic P2P energy trading --- Markov decision process --- deep reinforcement learning --- deep Q-network --- long short-term delayed reward --- inter-area oscillations --- modal analysis --- reduced order modeling --- dynamic mode decomposition --- machine learning --- artificial neural networks --- steady-state security assessment --- situation awareness --- cellular computational networks --- load flow prediction --- contingency --- fuzzy system --- change detection --- data analytics --- data mining --- filtering --- optimization --- power quality --- signal processing --- total variation smoothing --- n/a

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• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Today, the flow of electricity is bidirectional, and not all electricity is centrally produced in large power plants. With the growing emergence of prosumers and microgrids, the amount of electricity produced by sources other than large, traditional power plants is ever-increasing. These alternative sources include photovoltaic (PV), wind turbine (WT), geothermal, and biomass renewable generation plants. Some renewable energy resources (solar PV and wind turbine generation) are highly dependent on natural processes and parameters (wind speed, wind direction, temperature, solar irradiation, humidity, etc.). Thus, the outputs are so stochastic in nature. New data-science-inspired real-time solutions are needed in order to co-develop digital twins of large intermittent renewable plants whose services can be globally delivered.

Technology: general issues --- History of engineering & technology --- self-healing grid --- machine-learning --- feature extraction --- event detection --- optimization techniques --- manta ray foraging optimization algorithm --- multi-objective function --- radial networks --- optimal power flow --- automatic P2P energy trading --- Markov decision process --- deep reinforcement learning --- deep Q-network --- long short-term delayed reward --- inter-area oscillations --- modal analysis --- reduced order modeling --- dynamic mode decomposition --- machine learning --- artificial neural networks --- steady-state security assessment --- situation awareness --- cellular computational networks --- load flow prediction --- contingency --- fuzzy system --- change detection --- data analytics --- data mining --- filtering --- optimization --- power quality --- signal processing --- total variation smoothing --- self-healing grid --- machine-learning --- feature extraction --- event detection --- optimization techniques --- manta ray foraging optimization algorithm --- multi-objective function --- radial networks --- optimal power flow --- automatic P2P energy trading --- Markov decision process --- deep reinforcement learning --- deep Q-network --- long short-term delayed reward --- inter-area oscillations --- modal analysis --- reduced order modeling --- dynamic mode decomposition --- machine learning --- artificial neural networks --- steady-state security assessment --- situation awareness --- cellular computational networks --- load flow prediction --- contingency --- fuzzy system --- change detection --- data analytics --- data mining --- filtering --- optimization --- power quality --- signal processing --- total variation smoothing

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• Reference Manager
• EndNote
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The present book focuses on that part of calculus of variations, optimization, nonlinear analysis and related applications which combines tools and methods from partial differential equations with geometrical techniques. More precisely, this work is devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The book is a valuable guide for researchers, engineers and students in the field of mathematics, operations research, optimal control science, artificial intelligence, management science and economics.

Research & information: general --- Mathematics & science --- well posedness --- constrained variational control problem --- monotonicity --- pseudomonotonicity --- hemicontinuity --- multiple integral functional --- lower semicontinuity --- fractional differential equations --- fractional derivative of Riemann-Liouville type --- integral boundary value problems --- Green's functions --- Guo-Krasnosel'skii fixed point theorem in cones --- sublinearity and superlinearity --- Arzelà-Ascoli Theorem --- multi-objective programming --- fractional transportation problem --- intuitionistic fuzzy set --- parametric programming --- convex function --- h-convex function --- Hermite-Hadamard inequality --- Caputo-Fabrizio fractional integral --- Jensen inequality --- Jensen-Mercer inequality --- multiobjective programs with vanishing constraints --- semidefinite programming --- convexificators --- nonsmooth analysis --- constraint qualifications --- interval-valued function --- Riemann integral --- LR-convex interval-valued function --- interval Hermite-Hadamard inequality --- interval Hermite-Hadamard-Fejér inequality --- Lieb concavity theorem --- deformed exponential --- Pick function --- convexity of matrix --- low carbon inventory --- discount --- payment in advance --- price-sensitive demand --- emission reduction --- advances of SDO --- applications of SDO --- metaheuristic optimization --- nature-inspired algorithms --- optimization problems --- spiral dynamics optimization --- spiral-inspired optimization algorithms --- spiral paths --- (p,s)-convex fuzzy-interval-valued function --- fuzzy Riemann integral --- Jensen type inequality --- Schur type inequality --- Hermite-Hadamard type inequality --- Hermite-Hadamard-Fejér type inequality --- inverse geometric problem --- Laplace equation --- method of fundamental solution --- least-square problem --- micro resonator --- fractal --- multistability --- safe jump --- hidden attractor --- chaos --- basin of attraction --- LR-Harmonically convexity --- fractional integral operator --- Hermite-Hadamard type inequalities --- multimodal multi-objective optimization --- manta ray foraging optimizer --- non-dominated solution --- crowing distance --- engineering design problem --- optimal power flow --- renewable energy sources --- improved chaos game optimization --- TD-TI controller --- load frequency control --- electrical vehicles --- well posedness --- constrained variational control problem --- monotonicity --- pseudomonotonicity --- hemicontinuity --- multiple integral functional --- lower semicontinuity --- fractional differential equations --- fractional derivative of Riemann-Liouville type --- integral boundary value problems --- Green's functions --- Guo-Krasnosel'skii fixed point theorem in cones --- sublinearity and superlinearity --- Arzelà-Ascoli Theorem --- multi-objective programming --- fractional transportation problem --- intuitionistic fuzzy set --- parametric programming --- convex function --- h-convex function --- Hermite-Hadamard inequality --- Caputo-Fabrizio fractional integral --- Jensen inequality --- Jensen-Mercer inequality --- multiobjective programs with vanishing constraints --- semidefinite programming --- convexificators --- nonsmooth analysis --- constraint qualifications --- interval-valued function --- Riemann integral --- LR-convex interval-valued function --- interval Hermite-Hadamard inequality --- interval Hermite-Hadamard-Fejér inequality --- Lieb concavity theorem --- deformed exponential --- Pick function --- convexity of matrix --- low carbon inventory --- discount --- payment in advance --- price-sensitive demand --- emission reduction --- advances of SDO --- applications of SDO --- metaheuristic optimization --- nature-inspired algorithms --- optimization problems --- spiral dynamics optimization --- spiral-inspired optimization algorithms --- spiral paths --- (p,s)-convex fuzzy-interval-valued function --- fuzzy Riemann integral --- Jensen type inequality --- Schur type inequality --- Hermite-Hadamard type inequality --- Hermite-Hadamard-Fejér type inequality --- inverse geometric problem --- Laplace equation --- method of fundamental solution --- least-square problem --- micro resonator --- fractal --- multistability --- safe jump --- hidden attractor --- chaos --- basin of attraction --- LR-Harmonically convexity --- fractional integral operator --- Hermite-Hadamard type inequalities --- multimodal multi-objective optimization --- manta ray foraging optimizer --- non-dominated solution --- crowing distance --- engineering design problem --- optimal power flow --- renewable energy sources --- improved chaos game optimization --- TD-TI controller --- load frequency control --- electrical vehicles