Renewable energy resources are a favorable solution for the coming energy. So, a great interest has been paid in the last decades for developing and utilizing renewable energy resources as wind energy. As it has a large energy contents and, particularize with the availability, but the major problems of it are represented in unmatched with load demand because the intermittency and fluctuation of nature conditions. Many studies focused on the new strategy of using Battery Storage System (BSS), and solving some problems that affect the DC bus voltage and the BSS by using Electrochemical Double Layer Capacitor (EDLC). Their capability is to store energy to realize the objective of time shifting of surplus energy with a high efficiency. The article main objective is to model, simulate, design, and study the performance of a Stand-Alone Wind Energy System with Hybrid Energy Storage (SAWS-HES). Thus, a complete model of the proposed system is implemented including a detailed modeling procedure of the HESS components. In addition to the main contribution, a study of the performance of EDLC only as a storage device that has fast response device integrated to the suggested system then it hybridized with the BSS. The HESS has the capability to compensate the DC bus voltage in the transient conditions and gives good stability for the system. The SAWS-HES utilizes one main renewable energy resource as wind turbine and overall model is employed under MATLAB/Simulink including a developed simple logic controller. The SAWS-HES simulation results presented a promising performance and have a satisfied performance in meeting the end load demands at different operation conditions. This ensures the SAWS-HES reliability and the effectiveness with HES and the controller in stand-alone operation formulating an excellent solution for the renewable energy systems