The global warming is increasing rapidly with the increase in the power generation using non-renewables. Renewables are the best possible solution to overcome the hazardous effects of non-renewables. The generation of electricity through wind renewables is cheaper and eco-friendly, but the wind is non-uniform. Non-uniformity nature affects continuous supply of electric power and stability of the network. Stability of the power network can be maintained through the proper balance between generation and supply. The wind reliability can be enhanced using Energy Storage Equipment (ESEs). With the increase in the importance of wind and ESEs, modelling of equipment is essential to carry out the mathematical analysis. Sizing of ESEs plays a vital role in the economic operation of generation system. A detailed comprehensive review on modelling and sizing of Wind Turbines (WTs) and ESEs is discussed. This article provides the powerful route map for power system choice makers, forecasters, policy creators and the power system engineers working in wind dynamics. © 2020 Informa UK Limited, trading as Taylor & Francis Group.