This book presents mathematical models of various renewable energy sources (RESs) such as wind energy systems, solar PV systems, battery energy storage systems, pumped-storage hydropower, biomass, and electric vehicles (EVs). It also discusses the challenging task of the integration of high penetration of renewable energies and EVs within existing power systems. The uncertainty related to RESs, electric vehicle charging, and load demands is also modelled.  The book provides illustrative and comprehensive practical case studies to enable a complete understanding of the proposed methodologies. This book will consider the nuances of all these new paradigms, smart grid components, technology, and the impact of energy storage, EVs, and distributed energy resources, in the power networks.