Parametric Model, Continuity and First Order Sensitivity Analysis

Author(s):  
Ulrich Römer
2014 ◽  
Vol 986-987 ◽  
pp. 377-382 ◽  
Author(s):  
Hui Min Gao ◽  
Jian Min Zhang ◽  
Chen Xi Wu

Heuristic methods by first order sensitivity analysis are often used to determine location of capacitors of distribution power system. The selected nodes by first order sensitivity analysis often have virtual high by first order sensitivities, which could not obtain the optimal results. This paper presents an effective method to optimally determine the location and capacities of capacitors of distribution systems, based on an innovative approach by the second order sensitivity analysis and hierarchical clustering. The approach determines the location by the second order sensitivity analysis. Comparing with the traditional method, the new method considers the nonlinear factor of power flow equation and the impact of the latter selected compensation nodes on the previously selected compensation location. This method is tested on a 28-bus distribution system. Digital simulation results show that the reactive power optimization plan with the proposed method is more economic while maintaining the same level of effectiveness.


Author(s):  
Radu Serban ◽  
Jeffrey S. Freeman

Abstract Methods for formulating the first-order design sensitivity of multibody systems by direct differentiation are presented. These types of systems, when formulated by Euler-Lagrange techniques, are representable using differential-algebraic equations (DAE). The sensitivity analysis methods presented also result in systems of DAE’s which can be solved using standard techniques. Problems with previous direct differentiation sensitivity analysis derivations are highlighted, since they do not result in valid systems of DAE’s. This is shown using the simple pendulum example, which can be analyzed in both ODE and DAE form. Finally, a slider-crank example is used to show application of the method to mechanism analysis.


Author(s):  
Zheng Zhang ◽  
Changcong Zhou ◽  
Wenxuan Wang ◽  
Zhufeng Yue

This article investigates the design of constraint hoops in the aeronautical hydraulic pipeline system. Non-probabilistic sensitivity analysis is used to screen out the hoops which are insensitive to the maximum stress response, the maximum displacement response as well as the first-order natural frequency. The analysis result can give guidance to reduce the size and weight of the pipeline system. Based on the pretreatment analysis, the position coordinates of the remaining constraint hoops are further optimized. Comparison before and after optimization reveals that the dynamic performances of the pipeline system are significantly improved. This study indicates that the proposed method can provide an effective solution for the design of aeronautical hydraulic pipeline systems.


2019 ◽  
Vol 32 (5) ◽  
pp. 1347-1356 ◽  
Author(s):  
Czesław Szymczak ◽  
Marcin Kujawa

AbstractThe paper addresses sensitivity analysis of free torsional vibration frequencies of thin-walled beams of bisymmetric open cross section made of unidirectional fibre-reinforced laminate. The warping effect and the axial end load are taken into account. The consideration is based upon the classical theory of thin-walled beams of non-deformable cross section. The first-order sensitivity variation of the frequencies is derived with respect to the design variable variations. The beam cross-sectional dimensions and the material properties are assumed the design variables undergoing variations. The paper includes a numerical example related to simply supported I-beams and the distributions of sensitivity functions of frequencies along the beam axis. Accuracy is discussed of the first-order sensitivity analysis in the assessment of frequency changes due to the fibre volume fraction variable variations, and the effect of axial loads is discussed too.


2009 ◽  
Vol 11 (3-4) ◽  
pp. 282-296 ◽  
Author(s):  
Srikanta Mishra

Formal uncertainty and sensitivity analysis techniques enable hydrologic modelers to quantify the range of likely outcomes, likelihood of each outcome and an assessment of key contributors to output uncertainty. Such information is an improvement over standard deterministic point estimates for making engineering decisions under uncertainty. This paper provides an overview of various uncertainty analysis techniques that permit mapping model input uncertainty into uncertainty in model predictions. These include Monte Carlo simulation, first-order second-moment analysis, point estimate method, logic tree analysis and first-order reliability method. Also presented is an overview of sensitivity analysis techniques that permit identification of those parameters that control the uncertainty in model predictions. These include stepwise regression, mutual information (entropy) analysis and classification tree analysis. Two case studies are presented to demonstrate the practical applicability of these techniques. The paper also discusses a systematic framework for carrying out uncertainty and sensitivity analyses.


ForScience ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. e00507
Author(s):  
Álvaro de Aquino Santos ◽  
Marcos Antônio Alves ◽  
Elias Silva De Medeiros ◽  
Igor Neves Nunes ◽  
Rafael João de Melo Miguel Cardoso

Os modelos de previsão de séries temporais são ferramentas importantes no apoio ao planejamento da produção e na tomada de decisão de organizações como as agroindústrias. Um dos desafios da agroindústria brasileira de frango, uma das mais importantes do mundo, é prever adequadamente a demanda de seus clientes. Nesse contexto, o objetivo deste estudo foi propor um modelo paramétrico para previsão de demanda baseado nos dados de expedição de pintos da linhagem de corte em uma agroindústria do centro-oeste de Minas Gerais. Diferentes métodos foram avaliados sobre a série histórica de 59 semanas, a fim de identificar o comportamento das expedições semanais e verificar possíveis tendências e sazonalidades. Dados de 56 semanas foram avaliados e os modelos candidatos foram obtidos a partir da análise das autocorrelações das observações. Por meio dos critérios de avaliação BIC e AIC, o modelo Autorregressivo de Primeira Ordem (AR) (1) se mostrou o mais adequado. Para avaliar o poder de predição do modelo AR (1) foi realizada uma comparação entre os valores preditos e observados nas últimas quatro semanas da série. Por meio da análise foi verificado um desempenho satisfatório, uma vez que os valores observados se encontravam dentro do intervalo de 95% de confiança construído por meio do modelo. Palavras-chave: Série temporal. Previsão de demanda. Pintos de corte. Frango. AR (p) for forecasting demanddata in an agroindustry  Abstract Time series forecasting models are important tools in supporting production planning and decision-making of the companies, such as agroindustries. One of the challenges facing Brazilian chicken agribusinesses, one of the most important in the world, is to correctly forecast the demand of its customers. In this context, the aim of this paper was to propose a parametric model for demand forecasting based on the data of dispatch of chicks of the broiler line in an agroindustry in the Midwest of Minas Gerais. Different methods were evaluated over the 59-week historical series in order to identify the behavior of the weekly expedition and to verify possible trends and seasonalities. Data of 56 weeks were evaluated and the candidate models were obtained from the analysis of the autocorrelations of the observations. Through the BIC and AIC evaluation criteria, the First Order Autoregressive model (AR) was the most appropriate one. To assess the predictive accuracy of the AR (1) model, a comparison was made between predicted and observed values in the last four weeks of the time-series. Through this analysis, a satisfactory performance was verified, since the observed values were within the 95% confidence interval constructed through the model. Keywords: Time-series. Demand forecasting. Broiler chicks. Chicken.


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