With the growing importance of DC microgrids powered by renewable sources like solar energy and fuel cells, hydrogen as a safe and sustainable storage system is playing a pivotal role in revolutionizing energy solutions. The article discusses how fuel cell systems, converting hydrogen's chemical energy to electricity, are gaining traction for their efficiency and environmental benefits across various applications. Researchers are actively exploring optimization methodologies, from meta-heuristic algorithms to traditional analytical approaches, to enhance the performance of proton exchange membrane fuel cells (PEMFC) within microgrid setups. While these algorithms present challenges such as premature convergence, they also offer advantages like simple tuning and rapid convergence rates. The article emphasizes the global interest in hydrogen energy, highlighting its significance in clean energy transitions and the ongoing quest for innovative optimization techniques to streamline the integration of fuel cells in DC microgrids. It portrays a landscape where traditional and cutting-edge algorithms are being leveraged to unlock the full potential of hydrogen-based energy solutions, underscoring the evolving nature of sustainable energy practices.