Partial feedback linearizing controller design for a DSTATCOM to enhance voltage stability of distribution network with distributed generation

Abstract

This paper presents a nonlinear controller design for a DSTATCOM connected to a distribution network with distributed generation (DG) to regulate the line voltage by providing reactive power compensation. The controller is designed based on the partial feedback linearization which transforms the nonlinear system into a reduced order linear system and an autonomous system whose dynamics are known as internal dynamics of the system. This paper also investigates the stability of internal dynamics of a DSTATCOM as it is a basic requirement to design partial feedback linearizing controllers.The performance of the proposed controller is evaluated in terms reactive power compensation to enhance the voltage stability of distribution networks with DG.

Analysis of Voltage and Reactive Power Algorithms in Low Voltage Networks

“…Partial Feedback Linearization controller (PFLC) [46,89]. Feedback linearization is a method of non-linear control design that algebraically converts the dynamics of a non-linear system into a completely or partially linear one, allowing linear control techniques to be used [90].…”

“…Feedback linearization is a method of non-linear control design that algebraically converts the dynamics of a non-linear system into a completely or partially linear one, allowing linear control techniques to be used [90]. Exact feedback linearization converts a non-linear system into a fully linear one, whereas partial feedback linearization transforms the system into a partially linearized one [46,89]. Control design is thus based on well-known linear control techniques that cancel out undesirable non-linear components [87].…”