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4 results about "Exponential decay" patented technology

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value. Symbolically, this process can be expressed by the following differential equation, where N is the quantity and λ (lambda) is a positive rate called the exponential decay constant: dN/dt=-λN. The solution to this equation (see derivation below) is: N(t)=N₀e⁻λᵗ, where N(t) is the quantity at time t, and N₀ = N(0) is the initial quantity, i.e. the quantity at time t = 0.

Quantification of entrainment in fluidized bed reactors

The method can include obtaining two or more density measurements at two or more heights above a fluidized bed within a fluidized bed reactor; calculating an exponential decay constant using the two or more density measurements at the two or more heights; calculating an entrainment density using a backmixing density model having an input of the exponential decay constant; calculating an entrainment flux using an entrainment flux model having an input of the entrainment density; and adjusting at least one operating parameter of the fluidized bed reactor in response to the calculated entrainment flux.
Owner:EXXONMOBIL RESEARCHK & ENG CO

A tool cutting state regulation method for a web frame rod member boring process

PendingCN122284505ALoop controlMaterial removal
This invention belongs to the field of machine tool cutting state monitoring and intelligent control technology, specifically relating to a method for controlling the cutting state of a tool during the boring process of a space frame member. The method includes: real-time acquisition and preprocessing of multi-dimensional cutting data during the boring process to obtain a basic feature sequence; calculation of the ratio of the average effective cutting power of the sliding window to the instantaneous material removal rate, and obtaining a steady-state cutting energy index after deducting the initial cutting energy benchmark; calculation of the time-dependent decay weight of historical samples using an exponential decay function, and then obtaining the drift compensation boundary probability through root mean square fusion to dynamically correct the isolation forest model's decision boundary; further fusion of the average path length and normalization constant, and obtaining an anti-baseline drift correction anomaly score through the product of the exponential term and the logarithmic suppression term; setting a safety threshold, and performing anti-chipping closed-loop control based on the comparison result between the anomaly score and the threshold. This invention improves the accuracy of tool control during the boring process of space frame members.
Owner:JIANGSU PERMANENT STEEL STRUCTURE

A Quantification Method for Dynamic Consistency of Temperature Field Based on Thermal Field Analysis

This invention discloses a quantitative method for the dynamic consistency of temperature field based on thermal field analysis. Temperature measurement points are set up upstream and downstream of the filter. During the isothermal stage, a set disturbance is applied and multiple temperature sequences are collected. The preprocessed temperature data is obtained after detrending and bandpass filtering. Frequency domain analysis is used to calculate the average phase value of the upstream and downstream temperature sequences within a preset frequency band, and the results are grouped into the principal value region to form a downstream phase set. Based on this set, the absolute value of the phase mean and circular statistical parameters are obtained. By calculating the complementary value of the absolute value of the phase mean and the exponential decay result of the circular statistical parameters, a comprehensive score reflecting the temperature uniformity of the extinguishing effect is obtained, thus achieving a quantitative evaluation of the dynamic consistency of the extinguishing temperature field.
Owner:NANJING UNIV OF INFORMATION SCI & TECH +2

Real-time data based cyclic cooling water fouling trend prediction method and system

PendingCN122451815AEngineeringTrend prediction
The present application relates to the field of data processing, in particular to a circulating cooling water fouling trend prediction method and system based on real-time data, the method comprising: using near-wall flow velocity fluctuation adaptive adjustment window to extract temperature field anisotropy, shear dissipation estimation and ion activity lag angle, and combining with calcium concentration to form multi-field coupling characteristics; based on characteristic calculation, logically exclusive activation strength is activated, when the threshold value is exceeded, the temperature gradient weight is smoothly transferred to the shear weight to generate nucleation tendency coefficient; using the square of the nucleation tendency coefficient, the anisotropy and the shear complementary factor to calculate the entropy increase, constructing the exponential decay irreversible degree factor to constrain the prediction value, and combining with the basic fouling rate to obtain the fouling trend prediction value. The present application extracts high spatial resolution multi-field characteristics through adaptive window, dynamically weights and identifies the logic mutual exclusion of high-risk working conditions, reduces false alarms and misses, and realizes accurate and thermodynamic law-conforming quantitative prediction of fouling trend.
Owner:GUANGZHOU BAIHONG NEW ENERGY TECH CO LTD