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SOLVING MORE GENERAL INDEX-2 DIFFERENTIAL-ALGEBRAIC EQUATIONS

COMPUTERS & MATHEMATICS WITH APPLICATIONS 1994年第10-12期28卷 77-105页

作者： MARZ, R TISCHENDORF, C Humboldt-University Berlin Unter den Linden 6 D-10099 Berlin Germany

The paper deals with a class of quasilinear index-2 differential algebraic equations, which covers both linear variable coefficient systems as well as Hessenberg form equations. Supposing low smoothness only, the solvability of initial value problems is stated via classical analytical techniques. For that class of differential algebraic equations, backward differentiation formulas and Runge-Kutta methods as well as projected versions are discussed with respect to feasibility, (in)stability, convergence, and asymptotical behaviour.

关键词： ORDINARY DIFFERENTIAL EQUATIONS DIFFERENTIAL ALGEBRAIC EQUATIONS INITIAL VALUE PROBLEMS numerical integration methods BACKWARD DIFFERENTIATION RUNGE-KUTTA methods

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An Interval-based Sliding Horizon Motion Planning Method

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IFAC-PapersOnLine 2018年第16期51卷 296-301页

作者： dit Sandretto, Julien Alexandre Brendel, Elliot Chapoutot, Alexandre U2IS ENSTA ParisTech Université Paris-Saclay 828 bd des marechaux Palaiseau91762 France ONERA The French Aerospace Lab PalaiseauF-91761 France

A new algorithm of motion planning based on set-membership approach is presented. The goal of this algorithm is to find a safe and optimal path taking into account various sources of bounded uncertainties on the dynamical model of the plant, on the model of the environment, while being robust with respect to the numerical approximations introduced by numerical integration methods. The main approach is based on a sliding horizon method to predict the behavior of the system allowing the computation of an optimal path. As an example, the motion planning algorithm is applied to an Autonomous Underwater Vehicle (AUV) case study, showing the benefit of the proposed approach. © 2018

关键词： Motion planning Approximation algorithms Autonomous underwater vehicles numerical methods Robust control Autonomous underwater vehicles (AUV) Formal synthesis Motion planning algorithms numerical approximations numerical integration methods Reachability Safety analysis Set membership approach

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Differential algebraic systems anew

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APPLIED numerical MATHEMATICS 2002年第1-3期42卷 315-335页

作者： März, R Humboldt Univ Math Inst D-10099 Berlin Germany

It is proposed to figure out the leading term in differential algebraic systems more precisely. Low index linear systems with those properly stated leading terms are considered in detail. In particular, it is asked whether a numerical integration method applied to the original system reaches the inherent regular ODE without conservation, i.e., whether the discretization and the decoupling commute in some sense. In general one cannot expect this commutativity so that additional difficulties like strong stepsize restrictions may arise. Moreover, abstract differential algebraic equations in infinite-dimensional Hilbert spaces are introduced, and the index notion is generalized to those equations. In particular, partial differential algebraic equations are considered in this abstract formulation. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.

关键词： differential algebraic equations numerical integration methods abstract differential algebraic equations partial differential algebraic equations

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Real-Time Simulation of Synchronous Generator and Its Controllers On RTAI-Linux Platform

Real-Time Simulation of Synchronous Generator and Its Contro...

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10th Annual Conference of the IEEE-India-Council (INDICON)

作者： Latha, Adharapurapu Hema Shubhanga, K. N. NITK Dept Elect Engn Surathkal 575025 India

ISBN: (纸本)9781479922741;9781479922758

This paper presents a real-time simulation of a synchronous generator using real-time application interface (RTAI) on Linux. Different generator controllers such as exciter and power system stabilizer are also included in the real-time simulation. The Forward Euler method with a suitable step-size has been employed for obtaining the solution of differential equations after justifying its applicability through illustrative examples. Various disturbance conditions are demonstrated to bring out most of the rotor-angle stability issues in a SMIB system. Using a peripheral component interconnect (PCI) card, the real-time simulation results are captured on an oscilloscope and are validated using off-line MATLAB simulations. Such a setup offers a very useful laboratory tool for carrying out the hardware-in-the-loop tests.

关键词： Real-time simulation RTAI-Linux numerical integration methods Synchronous generator

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The phase plane:: A tool to solve the transient stability problem

The phase plane:: A tool to solve the transient stability pr...

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Large Engineering Systems Conference on Power Engineering (LESCOPE 02)

作者： Aromataris, L Rodríguez, G Preidikman, S Univ Nacl Rio Cuarto Fac Ingn Grp Anal Sistemas Elect Potencia GASEP RA-5800 Rio Cuarto Cordoba Argentina

ISBN: (纸本)0780375203

One of the most important problems in the study of transient stability of power systems is the determination of perturbation's maximum time of permanence without losing the synchronism of the generators that feed the network. The problem is generally solved by either the application of the equal-area criterion or through numerical integration methods. In the present work, the phase-plane is proposed as an alternative tool to solve the above-mentioned problem with greater efficiency.

关键词： transient stability swing equation phase plane equal-area criterion numerical integration methods

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Return Map Approach for Simulations of Electronic Circuits with Memristors 10

Return Map Approach for Simulations of Electronic Circuits w...

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International Conference on Signals and Electronic Systems (ICSES)

作者： Galias, Zbigniew AGH Univ Sci & Technol Dept Elect Engn Krakow Poland

ISBN: (纸本)9781538667682

In this work, we discuss numerical methods for simulations of circuits containing memristors. In several models, the internal state of a memristor is limited by physical dimensions of the device. This introduces discontinuities in right hand sides of differential equations describing dynamics of circuits with memristors and makes it difficult to integrate such systems using standard numerical integration methods. An approach based on the concept of a return map is proposed to solve this problem. A simple example is discussed to show the usefulness of the proposed technique.

关键词： memristor numerical integration methods return map

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Differential algebraic systems anew

Differential algebraic systems anew

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9th Seminar on numerical Solution of Differential and Differential - Algebraic Equations (NUMDIFF-9)

作者： März, R Humboldt Univ Math Inst D-10099 Berlin Germany

关键词： differential algebraic equations numerical integration methods abstract differential algebraic equations partial differential algebraic equations

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Comparison of Analog and numerical Chaotic System Simulation 18

Comparison of Analog and Numerical Chaotic System Simulation

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18th International Conference on Soft Computing and Measurement (SCM)

作者： Karimov, T. I. Butusov, D. N. Karimov, A. I. St Petersburg Electrotech Univ LETI St Petersburg Russia

ISBN: (纸本)9781467369619

This paper is devoted to the comparison of the numerically simulated Chua's circuit and the real circuit. The aim of the research was to figure out the factors affecting the computer simulation accuracy, and to find the ways to improve it. It was discovered that the most influence is exerted by an inaccuracy of the nonlinear Chua's diode characteristic measurement, a numerical integration method used for simulation and the operational amplifier properties. A possibility of an analog circuit application as a source of an accurate signal in order to find the most appropriate numerical method for the chaotic systems simulation is shown.

关键词： deterministic chaos Chua's circuit system identification numerical integration methods chaotic systems chaotic electric circuit

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Sampling uncertainty of simulated stochastic waves and response process of a vertical cylinder fixed to sea-bed 8

Sampling uncertainty of simulated stochastic waves and respo...

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8th International Conference on Structural Dynamics (EURODYN)

作者： Saha, Nilanjan Gao, Zhen Moan, Torgeir Norwegian Univ Sci & Technol Ctr Ships & Ocean Struct NO-7491 Trondheim Norway Indian Inst Technol Dept Ocean Engn Madras 600036 Tamil Nadu India

ISBN: (纸本)9789076019314

This paper deals with the uncertainty of the generated time series of irregular waves by using various methods of discretizing a spectrum. The frequently used methods for discretization are that based on constant frequency interval and constant area swept by the spectrum curve. However, post analysis and assessment of time series obtained using various discretization techniques is rarely taken into account. For generation of time series we use the wave superposition method. The purpose of this paper is to illustrate the applicability and uncertainty of the methods used to generate time series of waves from the spectrum. The uncertainty associated with the response process of a vertical cylinder fixed to the sea bed is also analyzed.

关键词： Sampling uncertainty Monte Carlo methods numerical integration methods Wave statistics

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Estimation of generators dynamic and controllers performances in open power systems

Estimation of generators dynamic and controllers performance...

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Winter Meeting of the IEEE-Power-Engineering-Society

作者： Richardot, O HadjSaid, N Besanger, Y Mekki, K ENSIEG Lab Electrotech Grenoble UMR 5529 INPG UJF CNRS Lab Electrotech Grenoble F-38402 St Martin Dheres France

ISBN: (纸本)0780373227

Following the electricity market opening, new producers are plugging into the network. Therefore it is very important for any system operator to control at every time producer's performances and characteristics. Estimation of parameters from power system measurement is a relatively new and unexplored field. It is complicated by the non-linear nature of system dynamics and the size of the models. This paper shows a Gauss-Newton approach involving trajectory sensitivities to estimate dynamic and controller performances. A theoretical approach of trajectory sensitivity [1], i.e., the sensitivity of the model response to small variations in parameters or initial conditions, is provided. Then an example consisting in a 4-machine test power system is used to illustrate the estimation algorithm.

关键词： numerical integration methods parameter estimation power system dynamics trajectory sensitivity analysis

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