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"This book describes the BCU method (Boundary of Stability Region Based Controlling Unstable Equilibrium Point method)"-- "Widely accepted around the world, the BCU method is the only direct method used in the power industry. Direct Methods for Stability Analysis of Electric Power Systems presents a comprehensive theoretical foundation of the method and its numerical implementation. This book provides graduate students, researchers, and practitioners with theoretical foundations of direct methods, energy functions, and the BCU method as well as the group-based BCU method and its applications. Numerical studies on industrial models and data are also included"--

Electric power system stability. --- Boundary element methods. --- Electric power systems --- BEM (Engineering analysis) --- BIE analysis --- BIE methods --- Boundary element analysis --- Boundary elements methods --- Boundary integral equation analysis --- Boundary integral equation methods --- Boundary integral methods --- Numerical analysis --- Stability of electric power systems --- Transients (Electricity) --- Mathematical models. --- Control --- Boundary element methods --- Electric power system stability --- Mathematical models

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This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems  in IR3. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient realization of the Galerkin BEM, it is essential to replace time-consuming steps in the numerical solution process with fast algorithms. In Chapters 5-9 these methods are developed, analyzed, and formulated in an algorithmic way.

Boundary element methods. --- Differential equations, Elliptic. --- Electronic books. -- local. --- Error analysis (Mathematics). --- Galerkin methods. --- Integral equations. --- Mathematics --- Mathematics - General --- Physical Sciences & Mathematics --- Error analysis (Mathematics) --- Errors, Theory of --- BEM (Engineering analysis) --- BIE analysis --- BIE methods --- Boundary element analysis --- Boundary elements methods --- Boundary integral equation analysis --- Boundary integral equation methods --- Boundary integral methods --- Equations, Integral --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Sinc-Galerkin methods --- Sinc methods --- Mathematics. --- Partial differential equations. --- Computer mathematics. --- Computational Mathematics and Numerical Analysis. --- Partial Differential Equations. --- Numerical analysis --- Instrumental variables (Statistics) --- Mathematical statistics --- Statistics --- Functional equations --- Functional analysis --- Differential equations, Linear --- Differential equations, Partial --- Computer science --- Differential equations, partial. --- Partial differential equations --- Computer mathematics --- Discrete mathematics --- Electronic data processing