Volodymyr Y. Kondratenko

Assimilation of Perimeter Data and Coupling with Fuel Moisture in a Wildland Fire - Atmosphere DDDAS

We present a methodology to change the state of the Weather Research Forecasting (WRF) model coupled with the fire spread code SFIRE, based on Rothermel’s formula and the level set method, and with a fuel moisture model. The fire perimeter in the model changes in response to data while the model is running. However, the atmosphere state takes time to develop in response to the forcing by the heat flux from the fire. Therefore, an artificial fire history is created from an earlier fire perimeter to the new perimeter, and replayed with the proper heat fluxes to allow the atmosphere state to adjust. The method is an extension of an earlier method to start the coupled fire model from a developed fire perimeter rather than an ignition point. The level set method can be also used to identify parameters of the simulation, such as the fire spread rate. The coupled model is available from openwfm.org, and it extends the WRF-Fire code in WRF release.

Soft Computing Algorithm for Arithmetic Multiplication of Fuzzy Sets Based on Universal Analytic Models

This paper deals with the investigations of increasing dependability of computing operations for fuzzy numbers with triangular and bell-shape membership functions (MFs). Special attention is paid to the synthesis of analytic models of the MFs for the results of fuzzy arithmetic operations. New analytical models of the result’s MFs with the description of synthesis procedures for the multiplication operation with triangular fuzzy numbers in R + and R are presented in a universal style. The general analytic models for determination of \( \alpha \)-cuts parameters (direct and inverse approaches) for result fuzzy sets are given. Modeling results confirm the efficiency of the proposed models and fuzzy arithmetic algorithms for fuzzy information processing.

FAST FOURIER TRANSFORM ENSEMBLE KALMAN FILTER WITH APPLICATION TO A COUPLED ATMOSPHERE-WILDLAND FIRE MODEL

We propose a new type of the Ensemble Kalman Filter (EnKF), which uses the Fast Fourier Transform (FFT) for covariance estimation from a very small ensemble with automatic tapering, and for a fast computation of the analysis ensemble by convolution, avoiding the need to solve a sparse system with the tapered matrix. The method is combined with the morphing EnKF to enable the correction of position errors, in addition to amplitude errors, and demonstrated on WRF-Fire, the Weather Research Forecasting (WRF) model coupled with a re spread model implemented by the level set method.

Slip displacement sensors for intelligent robots: Solutions and models

This paper discusses the design of modern tactile sensor systems for intelligent and adaptive robots. It provides information on three approaches for using slip displacement signals (for correction of claiming force, for identification of manipulated object mass and for correction of robot control algorithm). The study presents the analysis of different methods for slip displacement signals detection, as well as new sensors schemes, mathematical models and correction methods. Special attention is paid to investigations of developed by authors sensors with the capacity, magnetic sensitive elements and with automatic adjustment of claiming force.

The Algorithm of Optimal Polynomial Extrapolation of Random Processes

This work deals with the modelling and prediction of the realizations of random processes in corresponding future time moments. The extrapolation algorithm of nonlinear random process for arbitrary quantity of known significances and random relations used for forecasting has been received on the basis of mathematical instrument of canonical decomposition. The received optimal solutions of the nonlinear extrapolation problem, as well as the canonical decomposition, that was use as a base for optimal solution, does not set any substantional restrictions on the class of investigated random process (liniarity, Markov processes propety, stationarity, monotonicity etc.). Theoretical results, block-diagrams for calculation procedures and the analysis of applied applications, especially for the prediction of economic indexes and parameters of technical devices, are under discussions.

Models and Algorithms for Prediction of Electrical Energy Consumption Based on Canonical Expansions of Random Sequences

The given chapter is devoted to the development of the mathematical support, in particular, mathematical models and algorithms, which can be successfully used for solving prediction tasks in various areas of human activity, including energetic and ecological management. The development peculiarities and the use of models and algorithms as elements of green technology to predict electric energy consumption based on mathematical apparatus of canonical expansions of random sequences are currently being discussed. Developed calculation method doesn’t impose any limitations on the qualities of random sequences of the change of electric energy consumption (requirement of linearity, Markovian behavior, monotony, stationarity etc.) and has maximal accuracy characteristics in this connection. Block diagrams of algorithms and results of the applied realization of the developed models and algorithms, for example the prediction of electric energy consumption by one of the local neighborhoods in Mykolaiv, Ukraine are introduced in the work. Comparative analysis of the results of a numerical experiment with the use of a Kalman filter and the linear prediction method confirms the high efficiency of the developed models and algorithms (relative error of prediction of electric energy consumption is 2–3%).

Mathematical Model of Magnetic Field Penetration for Applied Tasks of Electromagnetic Driver and Ferromagnetic Layer Interaction

This paper deals with the investigations of an interaction between magnetic driver and ferromagnetic surface based on the calculation of magnetic field parameters in conditions of various thicknesses of layer. Special attention is paid for development of mathematical model of magnetic field penetration through flat soft magnetic layer. Applied aspects of developed mathematical model implementation in robotics, automation of different technological processes, renewable energy equipment and other industrial devices are discussed in the paper in details.