As we strive to attain "dual carbon goals," the chemical industry faces an immediate imperative to diminish its carbon emissions. Leveraging renewable energy to generate green hydrogen via water electrolysis for ammonia synthesis has emerged as a significant pathway towards the industry's green transformation—this not only effectively utilizes new energy but also promotes sustainable development. However, such an interconnected system encompasses a multitude of intricate processes, ranging from thermochemistry and electrochemistry to power cycles, each with varying energy input and output grades. The study seeks to elucidate the synergistic interplay of energy conversion and energy-mass exchange across these diverse processes within the integrated system. It necessitates solving optimization issues related to energy usage and heat exchange. By delving into the intricacies of the coupled system, we aim to uncover the fundamental principles and performance evaluation methodologies pertinent to system design. These insights can provide valuable guidance for the real-world application of new energy power-driven hydrogen production and green ammonia synthesis systems. Ultimately, widespread application of these renewable energy practices within the chemical industry will not only contribute to sustainable development but also help in further mitigating carbon emissions.