First-Order Single-Parameter Phase and Amplitude Sensitivity Analysis of GaN HEMT

2019 ◽  
Author(s):  
Osman Ceylan ◽  
H. Bulent Yagci ◽  
Selcuk Paker
Keyword(s):  
Sensitivity Analysis ◽  
Single Parameter ◽  
First Order ◽  
Gan Hemt

scholarly journals Sensitivity Analysis of a Dynamical System Using C++

1993 ◽  
Vol 2 (4) ◽  
pp. 157-169 ◽  
Author(s):  
Donna Calhoun ◽  
Roy Overstreet
Keyword(s):  
Dynamical System ◽  
Sensitivity Analysis ◽  
Differential Equations ◽  
Environmental Hazards ◽  
Single Parameter ◽  
Basic Principles ◽  
Partial Derivatives ◽  
First Order ◽  
Sensitivity Equations

This article introduces basic principles of first order sensitivity analysis and presents an algorithm that can be used to compute the sensitivity of a dynamical system to a selected parameter. This analysis is performed by extending with sensitivity equations the set of differential equations describing the dynamical system. These additional equations require the evaluation of partial derivatives, and so a technique known as the table algorithm, which can be used to exactly and automatically compute these derivatives, is described. A C++ class which can be used to implement the table algorithm is presented along with a driver routine for evaluating the output of a model and its sensitivity to a single parameter. The use of this driver routine is illustrated with a specific application from environmental hazards modeling.

Optimal Capacitors Placement of Distribution Systems Using 2nd Order Power Loss Sensitivity Analysis and Hierarchical Clustering

2014 ◽  
Vol 986-987 ◽  
pp. 377-382 ◽  
Author(s):  
Hui Min Gao ◽  
Jian Min Zhang ◽  
Chen Xi Wu
Keyword(s):  
Sensitivity Analysis ◽  
Hierarchical Clustering ◽  
Distribution System ◽  
Power Flow ◽  
Distribution Systems ◽  
Reactive Power ◽  
Digital Simulation ◽  
Second Order ◽  
First Order ◽  
The Impact

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.

Direct Differentiation Methods for the Design Sensitivity of Multibody Dynamic Systems

1996 ◽  
Author(s):  
Radu Serban ◽  
Jeffrey S. Freeman
Keyword(s):  
Sensitivity Analysis ◽  
Dynamic Systems ◽  
Design Sensitivity ◽  
Differential Algebraic Equations ◽  
Mechanism Analysis ◽  
Algebraic Equations ◽  
First Order ◽  
Direct Differentiation ◽  
Multibody Dynamic ◽  
Standard Techniques

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.

Optimization design of aeronautical hydraulic pipeline system based on non-probabilistic sensitivity analysis

2019 ◽  
Vol 233 (5) ◽  
pp. 815-825 ◽  
Author(s):  
Zheng Zhang ◽  
Changcong Zhou ◽  
Wenxuan Wang ◽  
Zhufeng Yue
Keyword(s):  
Sensitivity Analysis ◽  
Probabilistic Sensitivity Analysis ◽  
Optimization Design ◽  
Maximum Stress ◽  
Pipeline System ◽  
Effective Solution ◽  
Maximum Displacement ◽  
First Order ◽  
Before And After ◽  
Dynamic Performances

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.

scholarly journals Sensitivity analysis of free torsional vibration frequencies of thin-walled laminated beams under axial load

2019 ◽  
Vol 32 (5) ◽  
pp. 1347-1356 ◽  
Author(s):  
Czesław Szymczak ◽  
Marcin Kujawa
Keyword(s):  
Sensitivity Analysis ◽  
Cross Section ◽  
Torsional Vibration ◽  
Volume Fraction ◽  
Fibre Volume Fraction ◽  
Vibration Frequencies ◽  
Cross Sectional ◽  
First Order ◽  
Thin Walled ◽  
Frequency Changes

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.

scholarly journals Uncertainty and sensitivity analysis techniques for hydrologic modeling

2009 ◽  
Vol 11 (3-4) ◽  
pp. 282-296 ◽  
Author(s):  
Srikanta Mishra
Keyword(s):  
Sensitivity Analysis ◽  
Classification Tree ◽  
Sensitivity Analyses ◽  
Tree Analysis ◽  
First Order ◽  
Analysis Techniques ◽  
Point Estimate Method ◽  
Uncertainty And Sensitivity Analysis ◽  
Reliability Method ◽  
Model Predictions

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.

scholarly journals Multiparameter extrapolation and deflation methods for solving equation systems

1984 ◽  
Vol 7 (4) ◽  
pp. 793-802 ◽  
Author(s):  
A. J. Hughes Hallett
Keyword(s):  
Applied Sciences ◽  
Nonlinear Equation ◽  
Newton Method ◽  
Single Parameter ◽  
Iterative Techniques ◽  
First Order ◽  
Convergence Results ◽  
Nonlinear Equation Systems

Most models in economics and the applied sciences are solved by first order iterative techniques, usually those based on the Gauss-Seidel algorithm. This paper examines the convergence of multiparameter extrapolations (accelerations) of first order iterations, as an improved approximation to the Newton method for solving arbitrary nonlinear equation systems. It generalises my earlier results on single parameter extrapolations. Richardson's generalised method and the deflation method for detecting successive solutions in nonlinear equation systems are also presented as multiparameter extrapolations of first order iterations. New convergence results are obtained for those methods.

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