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This paper describes three models developed through the Western Electricity Coordinating Council (WECC) SVC Task Force, to represent static Var systems (SVS) for power-flow and time-domain stability simulations. The goal was to develop a set of model structures that are generic, and can be easily parameterized to represent a variety of SVS systems. The term generic is used to imply a model structure that is not specific to a given vendor or equipment, and that is non-proprietary and public. These models have been implemented by several software vendors, and may soon be adopted by others. These models offer: 1) a suitable non-proprietary, not vendor specific set of models that can be used to evaluate SVS solution options for planning studies, and 2) the means to move away from the proliferation of user-written models that are becoming hard to manage in large interconnected power system models such as the WECC. The dissemination of the models and modeling documentation helps provide guidance to power system planners and operators about the latest SVS technologies and their application.