You are part of a design team tasked with selecting and modeling energy storage systems for a hybrid microgrid in a remote mining site. The site experiences frequent power fluctuations and requires both short-term high-power backup and long-duration energy supply. The team is considering a combination of: A flywheel energy storage system for high-power, short-duration support. A lithium-ion battery system for medium-duration energy balancing. A hydrogen fuel cell system for long-duration, low-emission energy supply. Using the lecture materials and your understanding of energy storage technologies: 1. Justify the suitability of each selected system for the described application scenario. 2. Compare their response time, energy density, efficiency, and environmental impact. 3. Identify one critical limitation for each system in this context and propose a mitigation strategy. 4. What is the role of energy storage systems in flexible peaking (peak shaving) applications. Explain with diagrams. Note: Use diagrams or equations where appropriate.