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Day-Ahead Solar Power Forecasting Using Artificial Neural Network with Outlier Detection
Published in Mohan Lal Kolhe, Kailash J. Karande, Sampat G. Deshmukh, Artificial Intelligence, Internet of Things (IoT) and Smart Materials for Energy Applications, 2023
D. Janith Kavindu Dassanayake, M.H.M.R.S. Dilhani, Sandun Y. Konara Konara Mudiyanselage, Mohan Lal Kolhe
Linear interpolation is utilized to discover the values between two data points. A simple method is applied to connect the points by the use of straight-line segments. Each segment bounded by two points can be interpolated independently. The data points that need to be replaced are supplanted with new values with a function found by analysing the dataset. The equation for the interpolation which is used in this study is expressed in Eq. (4.9): Pd(t)=Pd(t−1)+[(m2−m1)(m3−m1)](Pd(t+1)−Pd(t−1))
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Published in Philip A. Laplante, Comprehensive Dictionary of Electrical Engineering, 2018
linear interpolation linear interpolation is a procedure for approximately reconstructing a function from its samples, whereby adjacent sample points are connected by a straight line. linear least squares estimator (LLSE) the lin^ ear estimator x = K y + c, where matrix K and vector c are chosen to minimize the expected ^ ^ squared error E[(x - x)T (x - x)]. The general LLSE solution to estimate a random vector x based on measurements y is given by ^ x (y) = E[x] + cov(x, y) · cov(y, y)-1 · (y - E[y]) where "cov" represents the covariance operation. See least squares, covariance, expectation, minimum mean square estimation. linear load an electrical load with a current that is linearly proportional to the voltage supplied. linear machine a machine in which the moving member constitutes linear motion instead of the more conventional rotary motion. Each of the rotary machine types can be produced in linear versions. The most widely known use of linear motors are in the field of transportation, where the stator is usually the moving vehicle and the conducting rotors are the rails. In these machines, the induced currents provide levitation in addition to providing the main propulsion. linear medium (1) medium in which the constitutive parameters are not functions of the electric or magnetic field amplitudes. (2) medium in which any response is directly proportional in magnitude to the magnitude of the applied field.
Numerical Interpolation
Published in Bilal M. Ayyub, Richard H. Mccuen, Numerical Analysis for Engineers, 2015
Bilal M. Ayyub, Richard H. McCuen
The concepts behind multidimensional interpolation can be shown using two-dimensional interpolation. Once understanding is established for the two-dimensional case, the concepts can be extended to other higher dimensions. In this section, the discussion is limited to two-dimensional interpolation. Also, the discussion is limited to one interpolation method, which is linear interpolation. The development of other methods is similar, but with an increased computational difficulty. In most engineering applications that require multidimensional interpolation, linear interpolation is adequate.
Automated system for performing pH-based titrations
Published in Instrumentation Science & Technology, 2023
Naga P. D. Boppana, Robyn A. Snow, Paul S. Simone, Gary L. Emmert, Michael A. Brown
For automated titrations, a 15 mL drinking water sample was transferred to a 30 mL beaker using a volumetric pipet. The sample was titrated to a pH value of 4.3 using standardized 0.02 N HCl and the endpoint was determined potentiometrically. The endpoint volume was determined by linear interpolation. The linear interpolation approach is a simple method of estimating a value between two data points. An example of linear interpolation is shown in Figure 3, where the volume of acid required to titrate the water sample to pH 4.3 (Vx) was calculated by: where pH1 and pH2 are pH values that bracket pH 4.3, and V1 and V2 are the added acid volumes at pH1 and pH2, respectively. The Vx volume at pH 4.3 was estimated by linear interpolation.
A Preliminary Study on the Use of the Linear Regression Method for Multigroup Cross-Section Interpretation
Published in Nuclear Science and Engineering, 2021
Linear interpolation consists of fitting linear polynomials within the range of discrete sets of known data for the estimation of unknown data. Thanks to its simplicity, the implementation of this method into deterministic codes is straightforward, and the computational burden brought is small. However, linear interpolation can be used only when data are available on both sides of the unknown data of interest, and its precision is low under certain circumstances. Linear regression, on the other hand, seeks to construct higher-order polynomials based on all the known data. It therefore has wider applicability and can provide higher accuracy than the classical linear interpolation. In this paper, we will discuss these two advantages of using linear regression for the interpretation of multigroup cross sections for deterministic codes, together with the associated computational expanse.
Development of seawater temperature announcement system for improving efficiency of fishery industry
Published in Journal of Information and Telecommunication, 2021
Yu Agusa, Takuya Fujihashi, Keiichi Endo, Hisayasu Kuroda, Shinya Kobayashi
Linear interpolation is a method of estimating the estimated value at one point between two measured points as approximately linear expression. In this function, the estimated value at water depth d () between the measured values and is calculated by the following formula:Another issue with implementing this function is associated with the time required to display a distribution map after it is requested. This is because when interpolation calculation is executed every time it is required, it takes more 1 minute to display. To solve this issue, we develop a program that generates interpolation data and saves them to the server. This program runs every hour. The interpolation data created by this program can be read as much as necessary for displaying, when it is requested. It is possible to display the data in approximately 20 seconds by incorporating such ingenuity.