# Fractional order PI controlled Grid Connected PV System

__Fractional-order PI controlled Grid-Connected PV System __

This video explains about Fractional-order PI-controlled Grid-Connected PV System and also compared it with PI controlled Grid-Connected PV System. The simulation results such maximum power of PV, grid current THD, and Power factor of the overall system compared for both fractional-order PI and conventional PI controllers.

A fractional-order PI (Proportional-Integral) controller is a control system that uses fractional calculus principles to achieve more robust and accurate control. In the context of a grid-connected photovoltaic (PV) system, a fractional-order PI controller can be used to regulate the power flow between the PV system and the grid.

Here's a general outline of how you can implement a fractional-order PI controller for a grid-connected PV system:

Modeling the PV System:

Develop a mathematical model of the PV system, which includes the PV array, maximum power point tracking (MPPT) algorithm, and power conditioning unit.

Consider factors such as solar irradiance, temperature, and the characteristics of the PV modules.

Designing the Fractional-Order PI Controller:

Determine the fractional order for the integral and derivative terms of the controller. This can be achieved through system identification or tuning techniques.

Define the control objective, such as maintaining a constant power flow or regulating the voltage or current.

Design the controller parameters (proportional gain, integral time constant, fractional order, etc.) based on the desired system response and stability criteria.

Implementing the Fractional-Order PI Controller:

Develop the control algorithm in MATLAB or another suitable programming language.

Read the PV system measurements (such as PV array voltage and current) and grid measurements (grid voltage and current).

Calculate the error between the desired and measured values.

Compute the control signal using the fractional-order PI control algorithm.

Adjust the power flow from the PV system to the grid based on the control signal.

Testing and Optimization:

Simulate the control system using representative solar irradiance and load profiles.

Evaluate the performance of the controller, such as tracking accuracy, stability, and response time.

Fine-tune the controller parameters if necessary to achieve the desired performance.

It's important to note that the implementation details and specific equations will depend on the exact mathematical model of the PV system, the chosen fractional-order PI controller design, and the control objectives. Consulting academic research papers, relevant literature, or seeking guidance from an expert in the field can provide further insights and guidance for the specific implementation.