Abstract
Reduced order modelling of complex autonomous microgrid system is crucial to its small signal modelling and stability concerns. To reduce the storage requirements and computational time, the order of such microgrids can be reduced by Model Order Reduction (MOR) techniques. This paper presents an optimal reduction technique, which retains dominant poles of the original system and achieves subsequent error minimization through the Particle Swarm Optimization algorithm (PSO). The 36th order complex microgrid system is reduced to 9th order approximant, which retains the significant dynamics of the original system. The simulation results reflect the superiority of the proposed method as compared to the balanced truncation method in terms of the time and frequency domain analysis of the reduced order equivalents. State perturbation in the state space model has also been considered in full as well as reduced order system dynamics and eigenvalue analysis for system stability.
Highlights
The integration of renewable energy resources to the main grid to meet the load requirements is a viable option with the development of microgrid system
The small signal model of an autonomous microgrid system consisting of two Distributed Energy Resources (DERs), local loads and a connecting line is represented in state space by state space equations and output equations as in (15) and (16)
The poles nearest to origin are retained in the reduced order model, and the error between full order and reduced order model is minimized by adopting the Particle Swarm Optimization algorithm (PSO) algorithm
Summary
The integration of renewable energy resources to the main grid to meet the load requirements is a viable option with the development of microgrid system. It is quite essential to analyze the small-signal model and select different parameters of controller or filter, in order to enhance the system dynamics and ensure power quality within acceptable limits. On the contrary to the methods adopted in literature for order reduction, a simpler yet effective MOR technique proposed in this paper for reduced order modelling of 36th order microgrid system in autonomous mode is Dominant pole technique. The state uncertainty is considered in this work to explore their effects on small signal stability for full order as well as reduced order system.
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