Polynomial chaos expansion for parametric problems in engineering systems: A review

D Shen, H Wu, B Xia, D Gan - IEEE Systems Journal, 2020 - ieeexplore.ieee.org
In engineering systems with uncertain parameters, it is crucial for system analysis and
control to analyze the relationship between these uncertain parameters and system outputs …

Parametric problems in power system analysis: Recent applications of polynomial approximation based on Galerkin method

H Wu, D Shen, B Xia, Y Qiu, Y Zhou… - Journal of Modern …, 2020 - ieeexplore.ieee.org
In power systems, there are many uncertainty factors such as power outputs of distributed
generations and fluctuations of loads. It is very beneficial to power system analysis to …

Nonintrusive uncertainty quantification of dynamic power systems subject to stochastic excitations

Y Qiu, J Lin, X Chen, F Liu… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Continuous-time random disturbances (also called stochastic excitations) due to increasing
renewable generation have an increasing impact on power system dynamics; However …

Explicit MPC based on the Galerkin method for AGC considering volatile generations

Y Qiu, J Lin, F Liu, Y Song - IEEE Transactions on Power …, 2019 - ieeexplore.ieee.org
The imbalance of generation and load caused by the increasing integration of volatile
generations poses challenges on frequency regulation. AGC is required to respond to the …

A Galerkin method-based polynomial approximation for parametric problems in power system transient analysis

B Xia, H Wu, Y Qiu, B Lou… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Parametric problems in the transient analysis refer to the investigations of the relationship
between parameters and dynamic behavior. To solve parametric problems, we propose a …

Stochastic processes in renewable power systems: From frequency domain to time domain

YH Song, XS Chen, J Lin, F Liu, YW Qiu - Science China Technological …, 2019 - Springer
With the increasing penetration of renewable energy resources (RESs), the uncertainties of
volatile renewable generations significantly affect the power system operation. Such …

A Fast Method for Uncertainty Analysis of Power System Dynamic Simulation

C Liu, Y Jiang, H Bai, R Yao, L Wu, W Yang - Processes, 2023 - mdpi.com
Uncertain variables, such as electric power system parameters, have significant impacts on
dynamic simulations of power systems. As traditional uncertainty analysis methods for power …

A Fault Location Method Based on Polynomial Chaos Expansion for Non-uniform Power Transmission Lines With Uncertainty Parameters

SY He, Y Song, A Cozza, YZ Xie… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
This article introduces a novel fault location method utilizing polynomial-chaos expansion
(PCE) designed specifically for non-uniform transmission lines affected by uncertain …

[PDF][PDF] A Fault Location Method based on Polynomial Chaos Expansion for Non-uniform Transmission Lines with Uncertainty Parameters

H Shao-Yin, S Yu, A Cozza, X Yan-Zhao… - IEEE Transactions on …, 2024 - hal.science
This paper introduces a novel fault location method utilizing polynomial-chaos expansion
(PCE) designed specifically for non-uniform transmission lines affected by uncertain …

基于混沌多项式的指令鲁棒优化及在飞行控制中的应用.

曹瑞, 沈海东, 刘燕斌, 陆宇平 - Control Theory & …, 2020 - search.ebscohost.com
本文提出一种新的方法对随机系统进行运动预测和控制指令设计, 该方法可以充分利用已知信息
设计控制指令以提高闭环随机系统的鲁棒性. 首先采用混沌多项式对随机信息进行数学表述 …