Modelling the boundary temperature regime in a regenerative heat recovery unit using differential equations and artificial neurons

N. Monarkin, A. Naimov, T. Akhmetov
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Abstract

The mathematical model of boundary temperature regime for accumulation and recovery of heat in a stationary switching regenerative heat recovery unit (SRHRU) is constructed. Modelling of the boundary regime in SRHRU is based on experimental data, and it is required to develop algorithms for calculating thermal constants and the general temperature regime. The boundary temperature regime is modelled by a system of nonlinear ordinary differential equations of the first order, which take into account the results of experimental observations and measurements. To determine the unknown parameters of the system of differential equations, artificial neurons are used: a two-layer perceptron is developed with three neurons on the first layer and with five neurons on the second layer.
用微分方程和人工神经元模拟蓄热回收装置的边界温度状态
建立了固定开关蓄热回收装置蓄热回收边界温度状态的数学模型。SRHRU中边界状态的建模是基于实验数据的,需要开发计算热常数和一般温度状态的算法。边界温度状态用一阶非线性常微分方程组来模拟,该方程组考虑了实验观测和测量的结果。为了确定微分方程系统的未知参数,使用了人工神经元:开发了一个两层感知器,第一层有三个神经元,第二层有五个神经元。
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