Application of the entropy information for the optimization of an additional measurements location in thermal systems

Abstract

For the optimal location of an additional surplus measurements in the design of redundant measurements system, from data reconciliation point of view, of thermal processes, an information entropy has been applied. The relative entropy -Kullback-Leibler divergence, has been used. As a criterion of the optimal location of an additional surplus measurements in a system of measurements data, the minimum of the entropy information of reconciled measurements data has been assumed. Hence, the objective function in the described optimization task is maximum of the relative entropy -Kullback-Leibler divergence concerning sets of raw and reconciled measurements data. Simulation calculation with application of data reconciliation algorithm and Monte Carlo method concerning the influence of installation of the additional surplus measurements on decrease of entropy information of measurements after data validation have been carried out. The example calculations concerned the cross high-pressure heat regeneration system with cascade flow of condensate installed in 153 MW power unit equipped with cooler of steam are presented. Calculations for all variants of configurations of an additional surplus measurements in the analyzed thermal system have been done. Usefulness of the proposed Kullback-Leibler divergence as a objective function has been demonstrated.

An optimization of redundant measurements location for thermal capacity of power unit steam boiler calculations using data reconciliation method

“…Introduction the variance-covariance matrices property in data reconciliation method the KullbackeLeibler divergence (in bits) has the following form [10]:…”

“…The current methodology of optimization of the location of an additional redundant measurements (in the sense of the use of data reconciliation method), the nominal load of the power unit has been assumed [9,10]. It is obvious, however, that due to the changing demand of the electric power in the power system, load of the power units is variable in time.…”

“…[9,10] have been carried out. Determining the optimal value of the weighted objective function (20) needs the repetition of t-times the developed optimization procedure.…”

“…In the optimization calculations of location of redundant measurements as an objective functions minimizing the relative standard deviation of a boiler thermal capacity and maximizing the Kullback-Leibler divergence have been accepted [3]. This divergence is the criterion which describes the quality of redundant measurement system as a whole [10]. In the calculation the measurements were taken into account, which can be located in the water-steam system of the boiler and in the high-pressure heat recovery steam supercritical power unit.…”