scholarly journals Arbitrary polynomial chaos expansion and its application to power flow analysis-Fast approximation of probability distribution by arbitrary polynomial expansion

2021 ◽  
Vol 1780 (1) ◽  
pp. 012025
Author(s):  
Yuki Katagiri ◽  
Kazuaki Iwamura ◽  
Yosuke Nakanishi ◽  
Sachio Takano ◽  
Ryohei Suzuki
Keyword(s):  
Probability Distribution ◽  
Power Flow ◽  
Polynomial Chaos ◽  
Flow Analysis ◽  
Polynomial Chaos Expansion ◽  
Polynomial Expansion ◽  
Chaos Expansion ◽  
Arbitrary Polynomial ◽  
Power Flow Analysis

Stochastic Finite Element Method Using Polynomial Chaos Expansion

2011 ◽  
Vol 199-200 ◽  
pp. 500-504 ◽  
Author(s):  
Wei Zhao ◽  
Ji Ke Liu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Polynomial Chaos ◽  
Expansion Method ◽  
Polynomial Chaos Expansion ◽  
Polynomial Expansion ◽  
Stochastic Finite Element Method ◽  
Chaos Expansion ◽  
Stochastic Finite Element ◽  
Element Method

We present a new response surface based stochastic finite element method to obtain solutions for general random uncertainty problems using the polynomial chaos expansion. The approach is general but here a typical elastostatics example only with the random field of Young's modulus is presented to illustrate the stress analysis, and computational comparison with the traditional polynomial expansion approach is also performed. It shows that the results of the polynomial chaos expansion are improved compared with that of the second polynomial expansion method.

Sign in / Sign up

Export Citation Format

Share Document