ESTIMATION OF UNCERTAINTY IN DYNAMIC SIMULATION RESULTS

Citation
H. Torvi et T. Hertzberg, ESTIMATION OF UNCERTAINTY IN DYNAMIC SIMULATION RESULTS, Computers & chemical engineering, 21, 1997, pp. 181-185
Citations number
11
Categorie Soggetti
Computer Application, Chemistry & Engineering","Engineering, Chemical","Computer Science Interdisciplinary Applications
ISSN journal
00981354
Volume
21
Year of publication
1997
Supplement
S
Pages
181 - 185
Database
ISI
SICI code
0098-1354(1997)21:<181:EOUIDS>2.0.ZU;2-T
Abstract
This paper presents a new approach for calculation of uncertainty in d ynamic simulation results. The statistical moments (mean, variance, sk ewness etc.) of the simulation results are calculated using Gaussian-q uadrature with ''customized'' weight function. Based on these moments, an approximating probability density function (pdf) is created by exp ansion into orthogonal polynomial series. The percentiles of the distr ibution can then be calculated. The method is computationally less dem anding than Monte-Carlo simulation when the number of uncertain parame ters are limited. A number of examples are used to illustrate the appl icability of the proposed framework.