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

D Shen, H Wu, B **a, 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 …

Polynomial Chaos-based Stochastic Model Predictive Control: An Overview and Future Research Directions

PK Mishra, JA Paulson, RD Braatz - arxiv preprint arxiv:2406.10734, 2024 - arxiv.org
This article is devoted to providing a review of mathematical formulations in which
Polynomial Chaos Theory (PCT) has been incorporated into stochastic model predictive …

Global approximation of static voltage stability region boundaries considering generator reactive power limits

Y Qiu, H Wu, Y Song, J Wang - IEEE transactions on power …, 2018 - ieeexplore.ieee.org
Power system static voltage stability region boundary (SVSRB) is a complicated
hypersurface in parameter space. Due to inequality constraints such as generator reactive …

Stochastic energy management of active distribution network based on improved approximate dynamic programming

J Zhu, J Chen, Y Zhuo, X Mo, Y Guo… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The energy management (EM) of active distribution network (ADN) under uncertainties is a
stochastic, nonconvex and nonlinear problem, which cannot be solved by traditional …

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

B **a, 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 …

Arbitrarily sparse polynomial chaos expansion for high-dimensional parametric problems: Parametric and probabilistic power flow as an example

D Shen, H Wu, B **a, D Gan - IEEE Systems Journal, 2021 - ieeexplore.ieee.org
Parameters, no matter whether they are uncontrollable uncertainty factors or controllable
variables, have a great impact on the states and performances of continuous engineering …

Stochastic optimal power flow for power systems considering wind farms based on the stochastic collocation method

B **a, Y Chen, W Yang, Q Chen, X Wang, K Min - IEEE Access, 2022 - ieeexplore.ieee.org
The investigation of stochastic optimal power flow (SOPF) is to seek the optimal solution of
static stability constrained optimal power flow considering the uncertainty of parameters in …

Multi-objective optimal control approach for static voltage stability of power system considering interval uncertainty of the wind farm output

Y Yang, S Lin, Q Wang, Y **e, M Liu - IEEE Access, 2020 - ieeexplore.ieee.org
The static voltage stability margin (SVSM) of a power system considering the uncertain
fluctuation range of wind farm (WF) output can be described as an interval value called the …

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

H Wu, D Shen, B **a, 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 …

An optimal control method for static voltage stability of AC/DC hybrid power grid considering the uncertainty of wind power

S TU, Y YANG, S LIN, W LIU… - Journal of Electric …, 2023 - jepst.researchcommons.org
Static voltage stability margin (SVSM) is a commonly used voltage stability evaluation index
in power system operation. The SVSM will change with the uncertain fluctuation of wind farm …