Probabilistic load flow for assessment of voltage instability

Determination of probabilistic risk of voltage collapse using radial basis function (RBF) network

“…Line diagram of 25-bus, 35-line sample system. Table 7 Probability of voltage collapse with respect to various load levels for 25-bus test system forV 1 = 1.0 pu,V 2 = 1.0 pu,V 3 = 1.0 pu,V 4 = 1.0 pu andV 5 Fig. 7 shows for 25-bus test system plot ofp versus p d .…”

“…Artificial intelligence based methods including neural network, decision trees and fuzzy logic have also been used for voltage instability studies [4]. Hatziargyriou and Karakatsanis [5] used a probabilistic load flow model for analyzing voltage collapse mechanism. Venkatesh et al [6] presented an on-line ANN memory model based method for unified OPF and voltage stability maximization.…”

Determination and enhancement of probabilistic stability margin with load uncertainties

“…Sharaf proposed a probabilistic voltage stability index based on sensitivity taking into account the probabilistic nature of the system forced outages [13]. Voltage standard deviation obtained from probabilistic load flow has been used as voltage collapse index for assessment of voltage instability in [14]. Aboteshaid et al have presented a contingency enumeration approach to evaluate the voltage stability of a power system, and the voltage stability is quantified in the form of indices such as the probability and frequency of voltage instability and the expected voltage stability margin [10].…”

Maximum loading problems using stochastic nonlinear programming and confidence intervals

“…Probabilistic power flow (P-PF) investigates the behaviour of conventional power flow based problems when exposed to uncertainty [2], [3], [4]. probabilistic optimal power flow (P-OPF) examines the influence of randomness and uncertainty on power flow based optimization problems and seeks to determine the distributions of optimal variables [5], [6], [7], [8].…”

“…The formulation and solution of a static stability problem based on Probabilistic Power Flow (P-PF) is presented in [3]. In [10], the available transfer capacity of the system is considered in a stochastic sense and considers line outages.…”