Synchronous generator modelling and parameters estimation using least squares method

2008 ◽  
Vol 16 (6) ◽  
pp. 678-689 ◽  
Author(s):  
Emile Mouni ◽  
Slim Tnani ◽  
Gérard Champenois
Keyword(s):  
Least Squares ◽  
Least Squares Method ◽  
Synchronous Generator ◽  
Parameters Estimation

scholarly journals Application of Square Msplit Estimation in Determination of Vessel Position in Coastal Shipping

2017 ◽  
Vol 24 (2) ◽  
pp. 3-12 ◽  
Author(s):  
Marek Hubert Zienkiewicz ◽  
Krzysztof Czaplewski
Keyword(s):  
Least Squares ◽  
Least Squares Method ◽  
Functional Model ◽  
Parameters Estimation ◽  
Estimation Methods ◽  
Research Subject ◽  
Coastal Shipping ◽  
Maritime Navigation ◽  
M Estimation

AbstractThe main aim of this paper is to assess the possibility of using non-conventional geodetic estimation methods in maritime navigation. The research subject of this paper concerns robust determination of vessel’s position using a method of parameters estimation in the split functional model (Msplitestimation). The studies performed will help in finding out if and in which situations the application of Msplitestimation as the method for determining vessel’s position is beneficial from the perspective of navigation safety. The results obtained were compared with the results of traditional estimation methods, i.e. least squares method and robust M-estimation.

scholarly journals Recursive least squares method in parameters identification of DC motors models

2005 ◽  
Vol 18 (3) ◽  
pp. 467-478 ◽  
Author(s):  
Radojka Krneta ◽  
Sanja Antic ◽  
Danilo Stojanovic
Keyword(s):  
Least Squares ◽  
Least Squares Method ◽  
Parameters Estimation ◽  
Parameters Identification ◽  
Recursive Least Squares ◽  
Optical Encoder ◽  
Dc Motors ◽  
Recursive Least Squares Method ◽  
Motor Model

The procedure of parameters identification of DC motor model using a method of recursive least squares is described in this paper. To identify the system an experimental measuring of signals was carrying out at input - supply of voltage and output of the system for identification - motor angle speed. For the needs of the experiment, a system has been configured with a motor and an optical encoder whose output is connected with the counter input of acquisition card LCK-6013 which over a block connector CB-68LP makes a connection with a computer. The speed of the motor measured by optical encoder is compared with the speed of identified system in order to confirm the quality of the motor model?s parameters estimation.

scholarly journals ESTIMATING PARAMETERS OF STATIC OBJECTS WITH MATRIX INPUT AND OUTPUT

2018 ◽  
pp. 7-15
Author(s):  
Anatoly Sergeevich Vostrikov ◽  
Alexander Aleksandrovich Voevoda ◽  
Galina Vasil’evna Troshina
Keyword(s):  
Least Squares ◽  
Iterative Procedure ◽  
Least Squares Method ◽  
Gain Coefficient ◽  
Parameters Estimation ◽  
Unknown Parameters ◽  
Test Input ◽  
Input Signals ◽  
Object Parameters ◽  
Parameter Values

The least-squares method is widely applied when processing results received at the solution of tasks which are connected, for example, with the identification of dynamic objects or with the pattern recognition. The article considers the application of recurrent least-squares method for the parameters determination of a static object with a matrix input and a matrix output. As test input signals it is offered to use signals like a meander with single amplitude. The estimation results of the object parameters are given for a case when Gaussian noises occur at the object output. The simulation of input signals which are realizing impact on an object, and the iterative procedure of the least-squares method are executed in the Simulink environment. The blocks which are realizing the formation of the iterative procedure of parameters estimation correspond to basic formulas which are a part of the algorithm of the recurrent least-squares method. On the example of the second order object the estimates received as a result of the recurrent estimation constructed scheme are given in the graphic form. It is possible to mark that the fast convergence of the parameters estimates to basic parameter values of an object is stated. The behavior diagram of the gain coefficient which is present at the algorithm of the recurrent least-squares method is demonstrated. Testing the algorithm of the object parameters estimation was carried out using input signals like a meander with different periods. The simulation results show that the algorithm gives the good estimates of unknown parameters even in the presence of the considerable noise watched on the object output. The offered approach is supposed to be used for the parameters estimation of the higher order objects with the different parameters quantity.

‘Least squares’ method—theorem or law?

1980 ◽  
Vol 59 (9) ◽  
pp. 8
Author(s):  
D.E. Turnbull
Keyword(s):  
Least Squares ◽  
Least Squares Method

An Augmented Iteratively Re-weighted and Refined Least Squares Method for lp Minimization Problem in Inverse Modeling of Potential Field Magnetic Data

2020 ◽  
Vol 1 (3) ◽  
Author(s):  
Maysam Abedi
Keyword(s):  
Magnetic Field ◽  
Magnetic Susceptibility ◽  
Least Squares ◽  
Minimization Problem ◽  
Potential Field ◽  
Field Data ◽  
Least Squares Method ◽  
Porphyry Copper ◽  
Magnetic Data ◽  
Magnetic Field Data

The presented work examines application of an Augmented Iteratively Re-weighted and Refined Least Squares method (AIRRLS) to construct a 3D magnetic susceptibility property from potential field magnetic anomalies. This algorithm replaces an lp minimization problem by a sequence of weighted linear systems in which the retrieved magnetic susceptibility model is successively converged to an optimum solution, while the regularization parameter is the stopping iteration numbers. To avoid the natural tendency of causative magnetic sources to concentrate at shallow depth, a prior depth weighting function is incorporated in the original formulation of the objective function. The speed of lp minimization problem is increased by inserting a pre-conditioner conjugate gradient method (PCCG) to solve the central system of equation in cases of large scale magnetic field data. It is assumed that there is no remanent magnetization since this study focuses on inversion of a geological structure with low magnetic susceptibility property. The method is applied on a multi-source noise-corrupted synthetic magnetic field data to demonstrate its suitability for 3D inversion, and then is applied to a real data pertaining to a geologically plausible porphyry copper unit.  The real case study located in  Semnan province of  Iran  consists  of  an arc-shaped  porphyry  andesite  covered  by  sedimentary  units  which  may  have  potential  of  mineral  occurrences, especially  porphyry copper. It is demonstrated that such structure extends down at depth, and consequently exploratory drilling is highly recommended for acquiring more pieces of information about its potential for ore-bearing mineralization.

Theoretical accuracy of the last squares method in the isotope dilution analysis

1984 ◽  
Vol 49 (4) ◽  
pp. 805-820
Author(s):  
Ján Klas
Keyword(s):  
Least Squares ◽  
Isotope Dilution ◽  
Least Squares Method ◽  
Isotope Dilution Analysis ◽  
Straight Line ◽  
The One ◽  
Two Parameter ◽  
Theoretical Accuracy

The accuracy of the least squares method in the isotope dilution analysis is studied using two models, viz a model of a two-parameter straight line and a model of a one-parameter straight line.The equations for the direct and the inverse isotope dilution methods are transformed into linear coordinates, and the intercept and slope of the two-parameter straight line and the slope of the one-parameter straight line are evaluated and treated.

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