scholarly journals PARAMETER IDENTIFICATION IN ESTUARINE MODELING

1980 ◽  
Vol 1 (17) ◽  
pp. 143
Author(s):  
Wen-Sen Chu ◽  
William W-G. Yeh
Keyword(s):  
Mathematical Model ◽  
Parameter Identification ◽  
Transport Equation ◽  
Hydraulic Model ◽  
Physical Point ◽  
The Real ◽  
The Past ◽  
Estuarine Modeling ◽  
The Mathematical Model ◽  
Hydrodynamics Equations

Parameter Identification (PI) algorithm is an optimization procedure that systematically searches the parameters embedded in a mathematical model. These parameters are not measurable from a physical point of view. The optimization is based on the minimization of a selected norm of the differences between the solution of the mathematical model and scattered observations collected from the system. Parameter identification (or inverse problem) has been studied in groundwater systems extensively for the past decade (15), and it has also drawn many researchers in the fields of open-channel flow and estuarine modeling since 1972 (1,2,9,17). All the past estuarine PI works in the literature are confined to the one-dimensional case, and hydrodynamics and transport equations are treated separately. This study deals with PI in a two-dimensional vertically-averaged estuarine salinity model. The salinity transport equation is coupled with the hydrodynamics equations. The coupled relationship introduces extra density terms in the hydrodynamics equations, which must be solved simultaneously with the transport equation. One of the most difficult problems in PI is the collection of needed observations from the system which is being modeled. With limited exception, the currently available data from the prototype estuaries are not adequate for the purposes of developing a PI algorithm. This is usually critical in quantity (the number of stations and/or the period of time) and in quality (noise of data). However, if an operational hydraulic model is available, the data could then be obtained economically and accurately under an ideally controlled environment. The large amount of data that can be collected from a hydraulic model of an estuary will provide a sufficient number of observations and the required initial and boundary conditions for the development of a PI algorithm. The use of the estuary hydraulic model could provide a better source of prototype data than would be available from the real estuary. It will be much easier to distinguish between the inadequacy of the mathematics and the inadequacy of our understanding of the prototype. Thus, it will give us an idea of how well we could expect to mathematically model the real estuary if we had an unlimited amount of prototype data. Additionally, when these types of data are used in PI, parameters can be optimally identified and the mathematical model can then be used conjunctively with the hydraulic model for prototype applications, provided that the mathematical model is consistently formulated. How well a hydraulic model simulates the prototype estuary is not considered in this study.

Research on Generator Excitation Parameter Identification - PSS Low-Pass Link Parameter Identification

2013 ◽  
Vol 805-806 ◽  
pp. 716-720
Author(s):  
Tao Xu ◽  
Tian Long Shao ◽  
Dong Fang Zhang
Keyword(s):  
Mathematical Model ◽  
Parameter Identification ◽  
Least Squares Method ◽  
Least Square Method ◽  
Least Square ◽  
National Standards ◽  
Matlab Software ◽  
Low Pass ◽  
Newton Iterations ◽  
The Mathematical Model

Combined with the contents of the study-PSS low-pass link parameter identification. Least-squares method is selected. Using least-square method for PSS low-pass link mathematical model are also deduced. For the results, because of the mathematical model is solving nonlinear equations, cannot used by the Newton method directly. So we choose to use Newton iterations, with this feature, choose to use MATLAB software to solve the equation. Identification of the use of MATLAB software lags after the PSS parameters obtained recognition results compared with national standards, identifying and verifying the practicability.

scholarly journals RESEARCH OF THE TENSELY-DEFORMED STATE OF ELEMENTS OF MOBILE HEAT STORAGE

2020 ◽  
Vol 42 (2) ◽  
pp. 68-75
Author(s):  
V.G. Demchenko ◽  
А.S. Тrubachev ◽  
A.V. Konyk
Keyword(s):  
Mathematical Model ◽  
Heat Storage ◽  
Quantitative Estimation ◽  
The Real ◽  
State Of The Union ◽  
Real Geometry ◽  
Deformed State ◽  
The Mathematical Model ◽  
Minimization Of Functional

Worked out methodology of determination of the tensely-deformed state of elements of mobile heat storage of capacity type, that works in the real terms of temperature and power stress on allows to estimate influence of potential energy on resilient deformation that influences on reliability of construction and to give recommendations on planning of tank (capacities) of accumulator. For determination possibly of possible tension of construction of accumulator kinematics maximum terms were certain. As a tank of accumulator shows a soba the difficult geometrical system, the mathematical model of calculation of coefficient of polynomial and decision of task of minimization of functional was improved for determination of tension for Міzеs taking into account the real geometry of equipment. Conducted quantitative estimation of the tensely-deformed state of the union coupling, corps and bottom of thermal accumulator and the resource of work of these constructions is appraised. Thus admissible tension folds 225 МРа.

scholarly journals Soft monetary policy in a sustainable economy as a rigid game

2021 ◽  
Vol 250 ◽  
pp. 06005
Author(s):  
Inna Čábelková
Keyword(s):  
Financial Markets ◽  
Developed Countries ◽  
Real Sector ◽  
The Real ◽  
Model Studies ◽  
Money Multiplier ◽  
The Past ◽  
Sustainable Economy ◽  
High Inflation ◽  
The Mathematical Model

Over the past decade, central banks in a majority of developed countries injected astonishing amounts of money into national and international economies in the hope of helping real sectors and with worries of high inflation. Neither of these came true. This paper describes the reasons for such unusual dynamics using a case of the sustainable economy. The three factors considered include the increased propensity to save, the decreased money multiplier, and substantial growth in the financial markets. The mathematical model studies the effect of the new money created on the real sector via the effect on real consumption depending on the share of the new money received by the less and more affluent part of the population. The results suggest, that the higher is the proportion of new money allocated to the poorer part of the society, the higher is the effect of overall money on the real sector if the propensity to consume in this part of the population is held constant.

Optimal Model Selection Using MP Criterion for Uncertain Multivariable 2×2 Systems Based on IMC

2008 ◽  
Author(s):  
Inbal Shani ◽  
Neima Brauner ◽  
Coleman B. Brosilow
Keyword(s):  
Mathematical Model ◽  
Control Systems ◽  
Controller Design ◽  
Optimal Model ◽  
Time Constants ◽  
The Real ◽  
Real Process ◽  
Decoupled Control ◽  
The Mathematical Model ◽  
Performance Variations

IMC controller design for a process is based on choosing a mathematical model that describes the real process. The mathematical model describing such process is often not unique because the real variables of the process can vary within an interval. In such cases the performance of the control system varies, possibly substantially, as process parameters change. To limit such performance variations, we have developed an algorithm for choosing the model gains and the filter time constants of the IMC controller, to minimize the amount of interaction between outputs due to set point changes and disturbances for multivariable decoupled control systems. Some examples illustrate the algorithm.

Automatic Parameter Identification Applied to a Railroad Car Dynamic Draft Gear Model

1974 ◽  
Vol 96 (4) ◽  
pp. 460-465 ◽  
Author(s):  
E. D. Ward ◽  
R. G. Leonard
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Parameter Identification ◽  
Functional Relationship ◽  
Nonlinear Functional ◽  
Draft Gear ◽  
Identification Technique ◽  
Train Dynamics ◽  
Relationship Of ◽  
The Mathematical Model

One of the most important components in simulating track-train dynamics is the mathematical model of the connection between two cars, the draft gear-coupler combination. In this paper an automatic parameter identification technique is presented which can be used to generate a nonlinear functional relationship of dynamic draft gear characteristics using experimental data.

scholarly journals ROS-based Toolbox for Motor Parameter Identification of Robotic Manipulators

2021 ◽  
Author(s):  
Ulici Ioana-Anamaria ◽  
Codrean Alexandru ◽  
Tassos Natsakis
Keyword(s):  
Mathematical Model ◽  
Parameter Identification ◽  
Robotic Manipulators ◽  
Velocity Control ◽  
Precise Knowledge ◽  
Depth Study ◽  
Motor Parameter ◽  
The Mathematical Model ◽  
Stable Control ◽  
Individual Motor

For many applications, a precise knowledge of the model of the robot is necessary for accurate and stable control. However, it is not always feasible or desirable to perform from scratch an in-depth study of the robot model, especially if it is not an element of concern for the respective application. In this article we present a methodology for identifying motor parameters of a robotic manipulator. We discuss the mathematical model and introduce an extensible toolbox with velocity-control based methodology for a fast identification of individual motor parameters. The results show that we can identify individual parameters even for joints that are commercialised as of the same type.

scholarly journals Distribution of Combat Capabilities on Objectives by Using a Transport Problem

2017 ◽  
Vol 23 (1) ◽  
pp. 15-20
Author(s):  
Alexandru Baboș ◽  
Alina-Mihaela Baboș
Keyword(s):  
Mathematical Model ◽  
Transportation Problem ◽  
Practical Problem ◽  
Transport Problem ◽  
Resources Allocation ◽  
Real Problem ◽  
Optimal Plan ◽  
Military Action ◽  
The Real ◽  
The Mathematical Model

Abstract The transport problem finds its application in situations where the upper echelons must draw up an optimal plan of resources allocation for combat capabilities on objectives. In order to achieve more reliable results for the real problem, the data needed to formulate the mathematical model are extracted from an order of operations. This paper presents the optimization of military action, showing how to solve a practical problem using the transportation problem.

scholarly journals Simulation of a Synchronous Planar Magnetically Levitated Motion System Based on a Real-Time Analytical Force Model

Energies ◽  
2020 ◽  
Vol 13 (23) ◽  
pp. 6367
Author(s):  
Ruotong Peng ◽  
Tong Zheng ◽  
Xing Lu ◽  
Xianze Xu ◽  
Fengqiu Xu
Keyword(s):  
Mathematical Model ◽  
Simulation Method ◽  
Physical Object ◽  
Force Model ◽  
The Real ◽  
Motion System ◽  
Testing Data ◽  
Magnetically Levitated ◽  
Yaw Angle ◽  
The Mathematical Model

The existing simulation method for the control of linear or planar magnetically levitated actuators always ignores the characteristics of the real physical object, which deteriorates the accuracy of the simulation. In this work, the proposed emulator for the magnetically levitated actuator is developed to consider both the force characteristics and the control algorithm. To model the real controlled object, the mathematical model for 1D (one-dimensional) and 2D (two-dimensional) magnetic arrays is derived where the yaw angle is taken into consideration using the coordinate transformation. The solution of the mathematical model is compared with the commercial BEM (boundary element method) software and the measurements from a force and torque testing setup to highlight the accuracy of the proposed mathematical model. Compared with the traditional simulation method of the motion control systems founded on the simplified system transfer function, the proposed simulation method has higher consistency and is closer to reality. The accuracy and efficiency of the proposed magnetic force model are further verified by the emulator based on the numerical force model and the testing data of the real setup.

scholarly journals Research on Mathematical Model for Non-Uniformly Qualitative Suspension Cable

2018 ◽  
Vol 175 ◽  
pp. 03039
Author(s):  
Hu Yong ◽  
Du Yuxin ◽  
Cao Yong ◽  
Wang MaoSen ◽  
Ma Yuchi ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Perturbation Method ◽  
Radio Telescope ◽  
Theoretical Basis ◽  
Transcendental Function ◽  
Concentrated Loads ◽  
Real Situation ◽  
The Real ◽  
Suspension Cable ◽  
The Mathematical Model

Catenary theory is recognized as the most effective suspension theory which can reflect the real situation of suspension. Catenary equation belongs to transcendental function, so there are some difficulties in calculation and application. Parabola theory, suspension curve theory and perturbation method are gradually formed as the theoretical basis for the study of suspension cables. This paper takes the 500m spherical radio telescope project as the background. The modeling method of suspension cable under multiple concentrated loads is analyzed, and the mathematical model of supporting cable after load is derived. The research in this paper provides a reference for the establishment of mathematical model of suspension cable in practice.

scholarly journals Pemecahan Problem Efisiensi Faktor Produksi dengan Metode Linear Programming

2018 ◽  
Vol 20 (1) ◽  
pp. 20
Author(s):  
Surahman Surahman
Keyword(s):  
Mathematical Model ◽  
Linear Programming ◽  
Problem Solving ◽  
Decision Maker ◽  
Real Condition ◽  
The Real ◽  
The Mathematical Model

<p>The problem solving of the production element efficiency by using linear programming can be done by formulating the mathematical model. The principles that have to be kept first are:</p><ol><li>The whole set of the problems can be divided into activity parts.</li><li>Each of the activities must have been determined precisely (about the quantity)</li><li>The quantity must have devided precisely</li><li>The limit of the capacity should be determined</li><li>Making the model</li></ol><p>After that, the next step is finding the solution. However, one thing to remember is that the problem solving using linear programming is only a medium. About the application depends on the decision maker or the user that will not be out from the real condition.</p>

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