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Inorganic compounds. --- Coordination compounds --- Molecular mechanics --- Molecular modeling --- Quantum mechanical methods --- Coordination compounds --- Molecular mechanics --- Molecular modeling --- Quantum mechanical methods

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519.672 --- #KVIV --- Mechanical methods of calculation, e.g. slide rules, desk calculators --- 519.672 Mechanical methods of calculation, e.g. slide rules, desk calculators

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Mathematical Modeling describes a process and an object by use of the mathematical language. A process or an object is presented in a "pure form" in Mathematical Modeling when external perturbations disturbing the study are absent. Computer simulation is a natural continuation of the Mathematical Modeling. Computer simulation can be considered as a computer experiment which corresponds to an experiment in the real world. Such a treatment is rather related to numerical simulations. Symbolic simulations yield more than just an experiment. Mathematical Modeling of stochastic processes is based on the probability theory, in particular, that leads to using of random walks, Monte Carlo methods and the standard statistics tools. Symbolic simulations are usually realized in the form of solution to equations in one unknown, to a system of linear algebraic equations, both ordinary and partial differential equations (ODE and PDE). Various mathematical approaches to stability are discussed in courses of ODE and PDE.

Computer simulation. --- Mathematical models. --- Models, Mathematical --- Simulation methods --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Model-integrated computing --- Advanced, Analysis, Applications, Asymptomatic, Principals, Vector, Calculus, Classics, Composites, Computations, Dimensional, Equations, General, Heat, Introduction, Mathematics Mechanical, Methods, Numercal, ODEs, Simulations, Stochastic, Symbolic, Stationary

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This book focuses on theoretical and practical developments in the performance of high-voltage transmission line against atmospheric pollution and icing. Modifications using suitable fillers are also pinpointed to improve silicone rubber insulation materials. Very fast transient overvoltage (VFTO) mitigation techniques, along with some suggestions for reliable partial discharge measurements under DC voltage stresses inside gas-insulated switchgears, are addressed. The application of an inductor-based filter for the protective performance of surge arresters against indirect lightning strikes is also discussed.

Technology: general issues --- History of engineering & technology --- dynamic pollution model --- reference insulators --- insulator structure coefficient --- natural pollution tests --- finite element method --- partial discharge --- protrusion --- gas-insulated system --- HVDC --- SF6 --- synthetic air --- insulator --- pollution --- humidity --- equivalent salt deposit density (ESDD) --- non-soluble deposit density (NSDD) --- leakage current --- post-installation study --- double exponential function --- indirect lightning --- medium voltage transformer --- spark gap --- filtered surge arrester --- energy-controlled switch --- ice-covered insulator --- characteristics extraction --- image processing method --- median filtering method --- entropy threshold segmentation --- modified Canny operator --- region growth method --- icing degree --- gas-insulated substations --- VFTO --- EMF modeling --- transient ground potential rise --- polymeric material --- thermoplastic --- thermoset --- elastomer --- epoxy resin --- electrical properties --- mechanical properties --- high-voltage applications --- partial discharges --- textured insulator --- artificial clean fog test --- dry bands --- discharges --- partial arcs --- monitoring --- HVDC outdoor insulators --- silicone rubber --- fumed silica --- ground silica --- dry-band arcing --- erosion performance --- outdoor insulators --- transmission and distribution --- pollution performance --- tracking --- erosion resistance --- overhead power lines --- atmospheric icing --- power outage --- anti-icing --- de-icing --- line design --- passive devices --- coatings --- mechanical methods --- thermal methods --- composite crossarm --- pollution flashover characteristics --- core diameter --- hydrophobicity --- umbrella structure --- voltage gradient --- flashover --- inception voltage --- arc propagation --- finite element method (FEM) --- n/a