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Modern power systems are highly complex due to increasing shares of intermittent renewable energy and distributed generation. Research requires computer simulation and modeling, and knowledge of methods and algorithms. This book presents key concepts of modeling and simulation of power systems. The book introduces the two main families of techniques for computer-based simulation of dynamic systems, and methods that allow parallel simulation execution. The coverage includes digital simulation, topological methods, state space methods, parallelization methods, simulation under uncertainty, phasor simulation, switching systems simulation as well as real-time simulation and hardware in the loop testing. Examples, exercises and a set of simulation solvers implemented in Matlab (R) and Python are also provided. Modeling and Simulation of Complex Power Systems is an invaluable tool for researchers in industry and academia, and advanced students.