Lyapunov stability of smart inverters using linearized distflow approximation

Chaos beyond linearized stability analysis: folding of the phase space and distribution of Lyapunov exponents

– We have found a universal mechanism which leads to the enhanced probability, P (λ, t), to find small values of the finite time Lyapunov exponent, λ. In our investigation of chaotic dynamical systems we go beyond the linearized stability analysis of nearby divergent trajectories and consider folding of the phase space in the course of chaotic evolution. We show that the spectrum of the Lyapuno...

Fuzzy Lyapunov stability and exponential stability in control ‎systems‎

Fuzzy control systems have had various applications in a wide range of science and engineering in recent years. Since an unstable control system is typically useless and potentially dangerous, stability is the most important requirement for any control system (including fuzzy control system). Conceptually, there are two types of stability for control systems: Lyapunov stability (a special case ...

General Application of Smart Inverters in Distribution and Smart Grid

Stability analysis of fractional-order nonlinear Systems via Lyapunov method

‎In this paper‎, ‎we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov‎ ‎method‎. ‎To examine the obtained results‎, ‎we employe the developed techniques on test examples‎.

A Lyapunov Approach to Control Design for Grid-connected Inverters

This paper develops a Lyapunov approach to control design for grid connected inverter. The control objective is to track a reference current which is proportional to the fundamental harmonic of the grid voltage. By using the internal model principle, the grid voltage and the reference current are described as the outputs of an autonomous linear oscillatory system. The state of this oscillatory ...