This paper offers a detailed analysis as well tuning and discretization approach of the presented frequency-fixed dual second order generalized integrator based phase-locked loop (FFDSOGI-PLL) for three-phase power systems. The method combines different single- PLL approaches by ensuring high phase- frequency tracking properties. comparison with standard frequency-variable DSOGI-PLL three recen...

The three-phase four-wire VSCs voltage source converters are used to connect sustainable sources the distribution system where loads predominantly single-phase. with unbalanced neutral has unwanted negative and zero sequence components. In this condition synchronism between VSC electrical grid that is done using PLL (Phase Locked Loop) affected. SRF-PLL (Synchronous Reference Frame-PLL) popular...

This article presents an enhanced frequency adaptive demodulation technique for grid-synchronization of grid-connected converters in variable condition. Demodulation works by generating demodulated voltages which contain undesired double components. As a result, high-order low-pass filters with high cutoff are required to eliminate the reduces dynamic performance. Frequency enhances performance...

This paper proposes a generic FPGA realization of an IP core for fractional-order integration and differentiation based on the Grünwald–Letnikov approximation. All dependent terms are approximated to simpler relations using curve fitting enable efficient hardware realization. Compared previous works, proposed design introduces enhancements in range covering both differentiation. An error analys...

Although many mathematicians have searched on the fractional calculus since many years ago, but its application in engineering, especially in modeling and control, does not have many antecedents. Since there are much freedom in choosing the order of differentiator and integrator in fractional calculus, it is possible to model the physical systems accurately. This paper deals with time-domain id...

The energy dissipation law and the maximum bound principle (MBP) are two important physical features of well-known Allen--Cahn equation. While some commonly used first-order time stepping schemes have turned out to preserve unconditionally both MBP for equation, restrictions on step size still needed existing second-order or even higher order in such simultaneous preservation. In this paper, we...

The subject of controlling an integrator via a communication network finds many applications in modern control systems. Stability conditions in closed form are derived for the arising feedback system, which consists of a controller, an integrator and time-variant links between integrator and controller. It will be shown, that these derived stability conditions are not conservative and easily ap...

We present an unexampled reset integrator control design based on the Clegg integrator system. Using an appropriate mathematical model of our Clegg integrator controller, stability proof of the closed-loop system applied to the vibration control problem of a second-order system is shown without invoking hybrid system theory. Furthermore, we illustrate the applicability of our controller, from t...