Three-phase alternating current (AC) has dominated the global power systems for over a century due to advantages such as readily transforming voltages with different levels, high-efficiency generation, transmitting power over long distances, etc. However, direct current (DC) power systems have recently gained popularity because they enable the more efficient and dependable integration of renewable energy sources such as solar, wind, fuel cells, and battery energy storage systems (ESSs). Thus, interlinking AC and DC subgrid power systems to be hybrid AC/DC microgrids presents a promising solution to energy and environmental issues.Due to the intermittence characteristic of renewable energy resources, energy storage (ES) is important to help mitigate the power imbalance between generation and consumption in AC/DC microgrids and to maintain the AC grid frequency and DC bus voltage. The improvement in power conversion efficiency and the reduction of carbon emissions into the environment are the major benefits of AC/DC hybrid microgrids. To achieve comprehensive coordination for hybrid microgrids, the most common implementation for the entire system is a centralized energy management system (EMS) with a communication link between the central controller and other system components. The primary drawbacks of centralized control are relatively low system reliability due to the need for a communications network and relatively slow response time due to the communication delay. Therefore, proper coordination controls of AC/DC microgrids need to be implemented to ensure stable, reliable, and efficient system operation and supply the load with high power quality. The modeling for different typologies, such as bipolar DC networks and nine-switch-based configurations of hybrid microgrids, investigates i Abstract the effectiveness of the associated decentralized and coordination control power management schemes. The objective is to minimize the power system frequency deviation of the AC subgrid and the voltage deviation of the DC subgrid caused by load changes and renewable power fluctuations. Advanced coordination control, VRM Voltage Regulation Mode VSC Voltage Source Converter VSM Virtual Synchronous Machine xii voltage regulation was complex, inefficient, and costly compared to AC voltage regulation using transformers. Therefore, AC appeared to be the better option,and it has become the norm for energy transmission and distribution ever since.According to [12], the implementation of DC systems can be traced back more than a decade ago. However, its popularity did not increase much until the last decade, when renewable energy developed dramatically. The expansion of popular renewables such as PV and energy storage (ES) including super-capacitors and batteries, which are all compatible with DC, has accelerated the popularity of DC power networks [13], [14]. Almost all electrical appliances are connected to an AC power supply in the existing power network. Specialized AC/DC rectifiers must convert utility AC power to DC power. H...