Voltage stability analysis considering the uncertainties of dynamic load parameters

Abstract

Many uncertainties exist in power systems and they will affect the stability analysis results. Voltage stability considering uncertainty in load parameters will be discussed. With the assumption that parameter variation is normal distribution, the probabilistic characteristics of eigenvalues under the uncertainties of dynamic load parameters can be obtained. Distribution of the critical eigenvalue will determine the stability probability of a power system. The stability margin can be inferred from the probabilistic critical load level, which is the maximal load level where system is 'probabilistically' stable. Case studies on three test systems illustrate that the stability margin will be reduced with load uncertainty. The proposed probabilistic results are validated using deterministic method of Monte Carlo on multi 10 000 sample studies.

Enhancement of Voltage Stability Considering Effects of WTG and Load Uncertainties Using Differential Evolution

“…One of them is dynamic variation in load parameter, which affects voltage stability margin assessment [11]. For the same load model, different ranges are presented in [6,13].…”

“…Black Hole technique was developed by A. Hatamlou [11], inspired by the black hole phenomenon. The BH algorithm is a population based method.…”

Probabilistic ranking of critical parameters affecting voltage stability in network with renewable generation

“…The probabilistic uncertain variables modelled in this paper are load demand, wind speed and solar irradiation, Which follows normal [2,16,17], Weibull [18][19][20] and Beta [21,22] …”

“…The stochastic and intermittent nature of Distributed Energy Resources (DERs) and loads can lead to uncertainty in generation and loading [1]. These uncertain parameters within power systems will affect the related system stability analysis results [2]. Since increasing loading demands force the power systems to operate closer to their stability margins these days, an accurate assessment for the effect of uncertain parameters on power system stability becomes critical.…”

“…Contingency enumeration based approaches with normal distributed load uncertainty have been introduced in [13]. Probabilistic eigenvalue analysis (through normal parametric distribution) has been used in [2]. Probabilistic collocation method has been proposed in [1].…”