Probabilistic density function estimation of geotechnical shear strength parameters using the second Chebyshev orthogonal polynomial

A method to estimate the probabilistic density function （PDF） of shear strength parameters was proposed. The second Chebyshev orthogonal polynomial（SCOP） combined with sample moments （the origin moments） was used to approximate the PDF of parameters. X^2 test was adopted to verify the availability of the method. It is distribution-free because no classical theoretical distributions were assumed in advance and the inference result provides a universal form of probability density curves. Six most commonly-used theoretical distributions named normal, lognormal, extreme value Ⅰ , gama, beta and Weibull distributions were used to verify SCOP method. An example from the observed data of cohesion c of a kind of silt clay was presented for illustrative purpose. The results show that the acceptance levels in SCOP are all smaller than those in the classical finite comparative method and the SCOP function is more accurate and effective in the reliability analysis of geotechnical engineering.

Decision Tree Based Online Stability Assessment Scheme for Power Systems with Renewable Generations

The stochastic fluctuation of renewable energy resources has significant impact on the stability of the power system with renewable generations and results in change in stability.Therefore,it is necessary to track the changing stability of the power system with renewable generations,a task that can be performed online.This paper details the use of decision trees to predict multi-mode damping of power system integrating renewable generations with the help of wide-area measurements system(WAMS).Power systems with renewable source generation are complex with vast amounts of data being collected from WAMS.Decision trees(DTs)are employed as a means to handle vast quantities of wide-area information,which involves the mode damping information indicating the stability.A 16-generator,68-bus system with photovoltaic power generation and wind power generation is used as the test system.Remote signals obtained from phasor measurement units(PMUs)are employed as the input variables of DTs for predicting purposes.The simulation results demonstrate that the proposed predicting scheme is able to suggest the optimal course of action to remedy any near instability or unstable electromechanical oscillations even without prior knowledge of the varying output of the renewable source power.