Source identification of plant-wide faults based on k nearest neighbor time delay estimation

Removal of transient disturbances from oscillating measurements using nearest neighbors imputation

“…Nearest neighbor imputation has been used to test the determinism [23] and the non-linearity of a time series [4], to replace missing values in survey data [24], to determine the precedence relationship between two measurements [25], and to determine the time lag between two measurements [26]. In particular, references [4,25] and [26] reported applications in process systems.…”

“…In particular, references [4,25] and [26] reported applications in process systems. The measurements in these cases originated from processes under the influence of non-linear oscillatory disturbances, such as non-linear hydrodynamic instabilities and limit cycles generated by control valves with excessive static friction.…”

Determining the propagation path of a disturbance in multi-rate systems ★ ★The authors gratefully acknowledge the financial support from the Portuguese Foundation for Science and Technology (FCT) under Fellowship SFRH/BD/61384/2009 and the Marie Curie FP7-IAPP project “REAL-SMART - Using real-time measurements for monitoring and management of power transmission dynamics for the Smart Grid”, Contract No: PIAP-GA-2009-251304.

“…The prediction of a time series from the past of another is known as non-linear mutual prediction (Schiff et al, 1996;Le Van Quyen et al, 1998). Stockmann et al (2012) used this property to determine time delays between time series non-linearly correlated. …”

“…Examples of methods include the quantification of the nonlinearity of time series (Thornhill, 2005), the transfer entropy between two time series (Bauer et al, 2007a;Naghoosi et al, 2013), and the non-linear mutual prediction between two time series (Bauer et al, 2007b;Stockmann et al, 2012). These methods have been successfully used in the analysis of persistent disturbances in process systems, and some are available in commercial tools .…”

Determining the propagation path of a disturbance in multi-rate process and electromechanical systems

“…Examples of such features include time delays, attenuation, transfer of information, and conditional probability relations. Examples of methods include the quantification of the nonlinearity of time series (Thornhill, 2005), the transfer entropy between two time series (Bauer et al, 2007a;Naghoosi et al, 2013), and the non-linear mutual prediction between two time series (Bauer et al, 2007b;Stockmann et al, 2012). However, the current methods are applicable only to uni-rate systems, that is, systems whose measurements are all available with the same sampling rate.…”