Estimation of an aerosol source in forced ventilation through prior identification of a convolutive model

Abstract

This article presents a method for estimating the time dependent generation rate of an aerosol source starting from a transient concentration signal measured at a distant point. The method is made up of two distinct steps: a calibration phase, followed by an estimation phase. The calibration phase consists in identifying a transfer function (termed "impedance") between a known source (the "calibration source") and its measured concentration response. In the second step the unknown source generation rate, in the configuration of interest, is estimated by inversion of the corresponding measured concentration signal at the same point, using the previously identified impedance. The time integral of this generation rate, the emitted aerosol dose, can be calculated directly, starting from the integral of the (transient) impedance. Here both simulation of inversions and application to a real experiment have been implemented. The results confirm that it is possible to estimate the temporal pattern of injection and the global emitted mass of pollutant.

Estimation of pollutant sources in multi-zone buildings through different deconvolution algorithms

“…In a previous study, it was found that increasing the calculation time step properly could reduce the measurement noise effect. However, decreasing the calculation time step would ensure a higher resolution for the inverse source strength (Wang and You 2015;Chata et al 2017). Therefore, the optimal calculation time step should balance the inverse accuracy and resolution.…”

Fouling detection in a shell and tube heat exchanger using variation of its thermal impulse responses: Methodological approach and numerical verification

“…The convolution product (1b) can be defined in two different ways, using its commutative property [23] : ). This can be put under a column vector/matrix form:…”