Predictive maintenance for the heated hold-up tank

TL;DR

This paper introduces a numerical method to determine the optimal maintenance schedule for a hybrid system involving a heated tank, modeled as a piecewise deterministic Markov process, to prevent total failure.

Contribution

It presents a novel numerical approach for optimal maintenance timing in hybrid systems modeled by PDMPs, specifically applied to a heated tank system.

Findings

Effective computation of maintenance dates to prevent system failure.

Modeling of the system as a PDMP with hybrid discrete-continuous dynamics.

Implementation demonstrating practical applicability.

Abstract

We present a numerical method to compute an optimal maintenance date for the test case of the heated hold-up tank. The system consists of a tank containing a fluid whose level is controlled by three components: two inlet pumps and one outlet valve. A thermal power source heats up the fluid. The failure rates of the components depends on the temperature, the position of the three components monitors the liquid level in the tank and the liquid level determines the temperature. Therefore, this system can be modeled by a hybrid process where the discrete (components) and continuous (level, temperature) parts interact in a closed loop. We model the system by a piecewise deterministic Markov process, propose and implement a numerical method to compute the optimal maintenance date to repair the components before the total failure of the system.