The electrical energy demand has been increasing day by day that’s why renewable energy sources demand highly increasing in conventional power generation. Wind energy conversion system (WECS) has cover large area due to its environmental and economic advantages. When integration between WECS and power grids, they are include some additional dynamic complexities, posing difficulties to system stability. For enhance the system stability, reliable operation and effective control mechanism for damping controller are needed. In previous years, traditional controller designed with fixed parameters and some limitation in dynamic and nonlinear wind integrated problems. In this paper we presents detail review of various damping controller design for WECS integrated power system. This review is totally based on design methodologies, including evolutionary algorithms and artificial intelligence techniques. This review also highlights the strengths, limitations and performance improvements through various techniques. In this paper we aim to give insights for researcher and engineer in developing adaptive damping controller to enhance stability in wind integrated power systems.