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Synchronous MachinesElectromagic Finite Element AnalysisHaran KarmakerJune 1, 2023 ? Introduction ? Boundary Value Problem? Fundamental Concept? Preprocessing? Processing ? Postprocessing? Parametric Modeling Topics ? FEA (Finite Element Analysis) is a well established numerical method of solving field problems.? Commercial software packages are available to solve field problems in electrical machines, such as those of synchronous machines.Introduction ? Solution of a boundary value problem prises the calculation of the distribution of a function over a specified domain. Boundary Value Problem ? The boundary value problem is described by a governing equation and boundary equation. Boundary Value Problem ? Dirichlet boundary equation ? Neumann boundary equationBoundary Value Problem ? Fundamental concept of FEA is that any continuous function defined over a domain can be approximated by a discrete model posed of a set of piecewise continuous functions defined over a finite number of subdomains. Fundamental Concept ? Consider an example of temperature distribution in a bar. Fundamental Concept ? The continuous function is T(x) and the domain is OL along xaxis.? Six points along xaxis are identified. We shall call these points as nodes.? The domain is divided into five elements.? Function T(x) is approximated by five piecewise continuous linear functions defined over a single element. Fundamental Concept ? The preprocessing includes the steps of identifying the domain of analysis, derivation of the governing and boundary equations and the division of the domain into subdomains called finite elements. Preprocessing? Consider onedimensional bar element. ? The value of a function over the element i is defined Preprocessing ? Similarly, for element j Preprocessing ?The most mon twodimensional element is a triangle. Preprocessing Preprocessing? The governing equation for 2D magic field probl