Performance Analysis of <tex>$H_{2}$</tex> Optimally Controlled Three-Phase Grids

Decentralised Optimal Controller Design of Variable Frequency Three-Phase Power Electronic Networks Accounting for Sub-System Interactions

“…8: Experimental Rig Setup they are each tuned to the fastest bandwidth possible on the experimental setup. The PI controller for the AFE has been designed to 900Hz for the inner current loop, and 90Hz for the outer voltage loop, with use of the design procedure described in [35]. The LQR is tuned in order to be comparable in dynamic performance to that of the H 2 designed in Section IV-C, and using the same tuning procedures, Q γ for the LQR controller was selected as:…”

“…whilst R γ was selected to be that defined in (65). Due to the PI controller transfer functions not being dependant on frequency as shown in [35], a polynomial gain adaptation is not required for the PI. However, since the LQR control is similar in form to the H 2 controller, it is dependant on frequency, and therefore the LQR has also been adapted for variable frequency using the same procedure for the H 2 controller, as described in Section IV-D.…”

Grid Impedance Identification and Structured-h2 Optimization Based Controller Design of Active Front-end in Embedded AC Networks

“…The sections attribute to dashed lines are only valid in the identification procedure and will be detailed later. The PI gains are tuned by the pole-placement approach (17) [8]. f i , f v , and ξ are current, voltage bandwidth and damping factor respectively.…”

Fast Self-Tuning Decentralized Variable Frequency Optimal Controller Design for Three-Phase Embedded Grids

“…This is counter-intuitive however, as this results in the increased sizing and weight to the system. Work into H 2 optimization to synthesize decentralized global optimal controls have shown to be able to mitigate the problem of subsystem interactions under reduced passive filters [4]. This paper proposes a method for which H 2 optimization as shown in [2], [4] can be adapted such that optimal and stable performance can be guaranteed globally across the required frequency range.…”

“…Work into H 2 optimization to synthesize decentralized global optimal controls have shown to be able to mitigate the problem of subsystem interactions under reduced passive filters [4]. This paper proposes a method for which H 2 optimization as shown in [2], [4] can be adapted such that optimal and stable performance can be guaranteed globally across the required frequency range. Other methods of optimal, nonlinear controllers exist which to some degree could handle the proposed problem.…”