The control‐oriented model of coordinated control system based on stochastic differential equations,Energy Science & Engineering

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The control‐oriented model of coordinated control system based on stochastic differential equations
Energy Science & Engineering ( IF 3.5 ) Pub Date : 2020-09-27 , DOI: 10.1002/ese3.815
Ming Du _{1,

2} , Yuguang Niu ₁ , Hong Li ₃ , Zhenhua Zhou ₃ , Jingxiang Zhang ₃ , Xiaotao Jiang ₃ , Rui Liu ₄

Affiliation

Considering the large‐scale development of renewable energy resources globally, control optimization of coal‐fired power plants is becoming increasingly crucial. The dynamics of the coordinated control system (CCS) must be studied prior to designing a controller. These dynamics of the subcritical units have been expressed through various modeling methods. However, in previous studies, ordinary differential equations (ODEs) have been primarily employed, which cannot reflect the uncertainties in the system. Therefore, a model with a greater accuracy should be observed to comprise uncorrelated residuals. In this study, the uncertainties in the calorific value of fired coal and combustion process were analyzed first. A normal distribution of disturbance was assumed in this process. The dynamics of the CCS were then described with stochastic differential equations (SDEs). Furthermore, a parameter estimation procedure was designed. The residual evaluation is employed to improve the model evaluation. After simulations, the SDE‐based model‐3 in this study elucidates the dynamics of the subcritical boiler‐turbine system better than the ODE‐based model and other SDE‐based models. The measured values can be regarded as a possible result of this model, rendering it a potential platform to employ stochastic model predictive control in CCS.

中文翻译：

基于随机微分方程的协调控制系统的面向控制模型

考虑到全球范围内可再生能源的大规模发展，燃煤电厂的控制优化变得越来越重要。在设计控制器之前，必须先研究协调控制系统（CCS）的动力学特性。亚临界单元的这些动力学已经通过各种建模方法来表达。但是，在以前的研究中，通常使用常微分方程（ODE），它不能反映系统中的不确定性。因此，应观察到精度更高的模型包含不相关的残差。在这项研究中，首先分析了燃煤热值和燃烧过程的不确定性。在此过程中假设干扰呈正态分布。然后用随机微分方程（SDE）描述CCS的动力学。此外，设计了参数估计程序。残差评估用于改进模型评估。经过模拟，与基于ODE的模型和其他基于SDE的模型相比，本研究中基于SDE的模型3更好地阐明了亚临界锅炉涡轮系统的动力学特性。测量值可以被认为是该模型的可能结果，使其成为在CCS中采用随机模型预测控制的潜在平台。与基于ODE的模型和其他基于SDE的模型相比，本研究中基于SDE的模型3更好地阐明了亚临界锅炉涡轮系统的动力学特性。测量值可以被认为是该模型的可能结果，使其成为在CCS中采用随机模型预测控制的潜在平台。与基于ODE的模型和其他基于SDE的模型相比，本研究中基于SDE的模型3更好地阐明了亚临界锅炉涡轮系统的动力学特性。测量值可以被认为是该模型的可能结果，使其成为在CCS中采用随机模型预测控制的潜在平台。

更新日期：2020-09-27

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