How does the use of Model Predictive Control (MPC) differ from traditional PID control in managing power flow within a microgrid?

Model Predictive Control (MPC) and traditional PID (Proportional-Integral-Derivative) control differ significantly in how they manage power flow within a microgrid, primarily in their approach to handling constraints, optimizing performance over a time horizon, and dealing with system dynamics. PID control is a feedback control technique that adjusts the control output based on the error between the desired setpoint and the measured process variable. PID controllers are simple to implement and tune, making them widely used in many applications. However, PID control has limitations in handling constraints, such as maximum current limits of inverters or voltage limits of the microgrid. PID controllers also optimize performance only at the current time instant....