Dual Active Bridge (DAB) converter is an advanced power electronics device with various applications in renewable energy systems, electric vehicles, and high-power energy conversion systems. Due to its versatility and critical role in modern power electronics, the DAB converter has become essential in different technology areas. The topology of DAB converters has been continuously improving in terms of higher efficiency, increased power density, and expanding diversity of applications. Today, DAB converter topology is used in renewable energy systems, energy Storage Systems, and smart grid applications. This thesis provides a detailed analysis of the DAB converter topology, including its state-space representation, SPS control logic, design, averaging, and linearization. The purpose is to comprehensively explore the DAB converter, understand its dynamic behavior and operation states, analyze its control strategies, and acknowledge its wide range of applications.