Derivation of an Accurate Polynomial Representation of the Transient Stability Boundary

A novel approach to solve transient stability constrained optimal power flow problems

“…To create the training data, the method in [19] was followed. Each operating condition is created based on the following equations:…”

Weather-based interruption prediction in the smart grid utilizing chronological data

“…Regression analysis methods have been applied to the study of the power system [14] in widespread areas, such as the derivation of an exact transient stability boundary of the power system [15]; contingency severity assessment for power system voltage security studies [16]; applications of transient stability forecasting [17]. In [10] spatial electric load forecasting approaches are discussed comprehensively.…”

Risk-Based Dynamic Security Assessment

“…Also, it can be used to assess much larger power systems within short period of time. In [9] the transient stability margin has been derived as a polynomial expressed in terms of voltage magnitudes and phase angles. This enables the extension of the method 18…”

“…The different type of sensitivities are obtained from power flow Jacobian matrix and functional form of transient stability boundary presented in [9].…”

“…Development of the linear approximated method to do risk based dynamic security assessment by using the polynomial of transient stability boundary generated from machine learning techniques in [9] which have been used to obtain the transient stability boundary. As this polynomial is differentiable with respect to V and δ, required sensitivities are calculated to obtain the probability distribution of the transient stability margin.…”