This paper introduces an innovative alpha Stirling engine system integrated with a steam-based cylinder to optimize power generation. This system addresses inefficiencies of typical traditional Stirling engines, particularly the absence of compression stroke and the challenges associated with inadequate heat exchange on cold side. By incorporating a three-cylinder design that combines a compression and expansion cylinder with a steam-injecting cylinder, this system minimizes dead volume and enhances the efficiency of power generation. The synchronized operation of these cylinders, driven by a valve-cam mechanism, allows for precise control over the phase differences, resulting in optimized power output. This advancement not only improves the performance of Stirling engines but also contributes to more sustainable and efficient decentralized micro-power generation processes, potentially reducing greenhouse gas emissions.