LQR Microgrid Control

What is LQR-PI control strategy for MG in grid-tied mode?

LQR-PI Control Strategy for MG in Grid-Tied Mode Once computed the matrix Kdriven by GA, the PI-LQR controller is designed to regulate the power flow from MG toward the utility grid. A robust and performing controller is obtained by combining the optimal properties of the LQR algorithm and a classical PI controller.

How is LQR used in a PI controller?

The LQR algorithm is used to estimate the gains of feedback states driven by the GA method. Likewise, a PI controller was tuned to reach a robust control technique designed in all study cases. The design parameters of the LQR controller include a settling time, Ts= 0.525 ms, and an overshoot of 5%.

What is LQR algorithm?

Therefore, the LQR algorithm was implemented and evaluated to address previous shortcomings in the analysis of the MG. The Kmatrix is then optimally computed to find the best poles placement of the system .

What is LQR-PID?

Lotfollahzade et al. used an LQR-PID controller optimized by PSO (Particle Swarm Optimization) to compute the proportional, integral, and derivative parameters to obtain an optimal load sharing of an electrical grid .

What is the cost function required by LQR algorithm?

Additionally, the cost function required by the LQR algorithm to obtain the optimal control parameters is defined as follows, J=∫0∞XTQX+uTRudt, (17) where Q≥0, R>0are positive semi-definite matrices. Qis the state matrix penalization, and Rexpresses the actuator effort. The cost function Jis subject to the next system constraint,

How to solve energy cost issues based on LQR controller?

The methodology driven by the GA to solve the energy cost issues based on the LQR controller is described by Algorithm 1.  Algorithm 1:Genetic Algorithm.   1.  Generate a random initial population.   2.  Evaluation of each individual in the fitness function.   3.  Verify the Stop criteria to detect the optimal solution.