Probabilistic evaluation of oscillatory stability margin with large-scale wind generation

Abstract

This paper presents a Monte Carlo based probabilistic methodology of evaluating the oscillatory stability margin of power system with large-scale wind generation. The approach considers not only the stochastic characteristics of wind speeds which are treated as random variables with Weibull distributions, while also the wind speed spatial correlations which are modeling by Nataf transformation. A case study is carried out on IEEE New England system and the probabilistic indices for OSM are computed from the statistical processing of the obtained results. The results indicate that the OSM obtained by deterministic study cannot guarantee the system being surely oscillatory stable, but stable with a given risk of oscillatory instability. It is shown that, for the cases studied, wind penetration and wind speed correlation detrimentally affects the OSM.

Dynamic Voltage Stability Comparison of Thermal and Wind Power Generation with Different Static and Dynamic Load Models

“…The FD model is the general nonlinear exponential voltage-dependent model used in the ZIP load [19] as shown in Equations (10) and (11). Herein, the term is the frequency deviation, is the active or reactive power percentage, and are the exponential coefficients of the active and reactive power, respectively:…”

“…In [9], a doubly-fed induction generator (DFIG) under maximum power-point tracking mode is used to find the control effect of load shedding, by sensitivities of L indices in load buses. In [10], a Monte Carlo probabilistic methodology was used to evaluate the oscillatory stability margin in a power system with largescale wind generation. In [11], a voltage stability analysis is used to evaluate the effects produced in a power network when reactive power is injected in some selected busses.…”