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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 …
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
This article is devoted to providing a review of mathematical formulations in which
Polynomial Chaos Theory (PCT) has been incorporated into stochastic model predictive …
Polynomial Chaos Theory (PCT) has been incorporated into stochastic model predictive …
Global approximation of static voltage stability region boundaries considering generator reactive power limits
Power system static voltage stability region boundary (SVSRB) is a complicated
hypersurface in parameter space. Due to inequality constraints such as generator reactive …
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 …
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
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 …
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 …
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 …
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
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 …
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
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 …
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 …
in power system operation. The SVSM will change with the uncertain fluctuation of wind farm …