scholarly journals Research on the Statistical Characteristics of Crosstalk in Naval Ships Wiring Harness Based on Polynomial Chaos Expansion Method

2017 ◽  
Vol 24 (s2) ◽  
pp. 205-214
Author(s):  
Yaodan Chi ◽  
Bin Li ◽  
Xiaotian Yang ◽  
Tianhao Wang ◽  
Kaiyu Yang ◽  
...  
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Electromagnetic Compatibility ◽  
Polynomial Chaos ◽  
Expansion Method ◽  
Polynomial Chaos Expansion ◽  
Statistical Characteristics ◽  
Chaos Expansion ◽  
Wiring Harness ◽  
Mc Method

Abstract Crosstalk in wiring harness has been studied extensively for its importance in the naval ships electromagnetic compatibility field. An effective and high-efficiency method is proposed in this paper for analyzing Statistical Characteristics of crosstalk in wiring harness with random variation of position based on Polynomial Chaos Expansion (PCE). A typical 14-cable wiring harness was simulated as the object of research. Distance among interfering cable, affected cable and GND is synthesized and analyzed in both frequency domain and time domain. The model of naval ships wiring harness distribution parameter was established by utilizing Legendre orthogonal polynomials as basis functions along with prediction model of statistical characters. Detailed mean value, mean square error, probability density function and reasonable varying range of crosstalk in naval ships wiring harness are described in both time domain and frequency domain. Numerical experiment proves that the method proposed in this paper, not only has good consistency with the MC method can be applied in the naval ships EMC research field to provide theoretical support for guaranteeing safety, but also has better time-efficiency than the MC method. Therefore, the Polynomial Chaos Expansion method.

Stochastic polynomial chaos expansion method for random Darcy equation

2017 ◽  
Vol 23 (2) ◽  
Author(s):  
Irina A. Shalimova ◽  
Karl K. Sabelfeld
Keyword(s):  
Polynomial Chaos ◽  
Monte Carlo Calculation ◽  
Neumann Boundary ◽  
Expansion Method ◽  
Polynomial Chaos Expansion ◽  
Statistical Characteristics ◽  
Chaos Expansion ◽  
Statistical Structure ◽  
Value Decomposition ◽  
Dimensional Domain

AbstractA probabilistic collocation based polynomial chaos expansion method is developed for simulation of particle transport in porous medium. The hydraulic conductivity is assumed to be a random field of a given statistical structure. The flow is modeled in a two-dimensional domain with mixed Dirichlet–Neumann boundary conditions. The relevant Karhunen–Loève expansion is constructed by a special randomized singular value decomposition (SVD) of the correlation matrix which makes possible to treat problems of high dimension. The simulation results are compared against a direct Monte Carlo calculation of different Eulerian and Lagrangian statistical characteristics of the solutions. As a byproduct, we suggest an approach to solve an inverse problem of recovering the variance of the log-conductivity.

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