Analyze the thermal and electrical performance of a microgrid system integrated with renewable energy sources. Given:The microgrid consists of solar panels generating $100$ kW of DC power at $400$ V$.$Wind turbines contribute $50$ kW of AC power at $230$ V$,$ with variable output based on wind speed.Battery storage capacity of $200$ kWh at $600$ V DC$,$ with efficiency losses during charge and discharge.Inverters, converters, and controllers manage power flow between sources and loads, operating under varying environmental conditions.Design a control strategy to optimize energy dispatch and manage grid stability, considering real$-$time demand and renewable energy availability.Evaluate the impact of grid disturbances, such as voltage sags and frequency fluctuations, on system reliability and performance.Derive equations for power conversion efficiency and losses across different components of the microgrid system.Analyze the economic feasibility of integrating energy storage and smart grid technologies to enhance grid resilience and energy independence.Discuss cybersecurity measures to protect the microgrid against cyber threats and ensure data integrity in communication protocols.Assess the environmental benefits and carbon footprint reduction achieved through the adoption of renewable energy and smart grid technologies.

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