Dynamic stability analysis of power network

DC-Microgrid System Design, Control, and Analysis

“…Stability analysis of the microgrid has significant effect with the increase of intermittent renewable energy sources penetration. The proposed stability analysis investigation is using a logic of global/semi-global stability [45][46][47], rather than using prevailing small-signal-analysis methods. • C. It shows the difference in the fast-dynamic response for the three techniques with the PSO MPPT as the first ranked one in MPP value and it reaches its MPP faster.…”

“…The polynomial Lyapunov function for stability analysis of a DC-nanogrid is investigated. The proposed method depends on semi-definite optimization with identifying the region of attraction (ROA) of the equilibrium point without the aid of time domain choice for solution [45][46][47] with power electronics converters. The dynamic modeling of the DG source is formulated and converts into state-space equations.…”

Stability Assessment of Power Systems Based on a Robust Sum-of-Squares Optimization Approach

“…The approach using Sum-Of-Squares (SOS) decomposition and Polynomial Lyapunov Functions (PLF) has been proposed to determine wider estimates of the ROA for nonlinear dynamical models [3], [4], [5], [6], [7], [8]. The PLF approach uses SOS optimization technique to progressively obtain estimates of the ROA.…”

“…Another problem is that the approach requires the system model to be polynomial, and of finite degree, whereas dynamic models for power systems normally involve trigonometric functions. This has normally been handled using Taylor series expansion of the trigonometric functions [4]. In this paper, a method suitable for online Transient Stability Assessment using a Polynomial-Lyapunov-Function to obtain an estimate of the ROA is proposed.…”

“…In this paper, a method suitable for online Transient Stability Assessment using a Polynomial-Lyapunov-Function to obtain an estimate of the ROA is proposed. The method is a further development of the approach in [4], whose main benefit is that it obviates the painstaking process of finding a suitable Lyapunov function. The method allows for the use higher order Lyapunov functions, which leads to wider estimates of the ROA.…”