Comprehensive Framework for Controlling Nonlinear Multi-Species Water Quality Dynamics

التفاصيل البيبلوغرافية
العنوان: Comprehensive Framework for Controlling Nonlinear Multi-Species Water Quality Dynamics
المؤلفون: Elsherif, Salma M., Taha, Ahmad F., Abokifa, Ahmed A., Sela, Lina
سنة النشر: 2023
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Electrical Engineering and Systems Science - Systems and Control, Mathematics - Optimization and Control
الوصف: Tracing disinfectant (e.g., chlorine) and contaminants evolution in water networks requires the solution of 1- D advection-reaction (AR) partial differential equations (PDEs). With the absence of analytical solutions in many scenarios, numerical solutions require high-resolution time- and spacediscretizations resulting in large model dimensions. This adds complexity to the water quality control problem. In addition, considering multi-species water quality dynamics rather than the single-species dynamics produces a more accurate description of the reaction dynamics under abnormal hazardous conditions (e.g., contamination events). Yet, these dynamics introduces nonlinear reaction formulation to the model. To that end, solving nonlinear 1-D AR PDEs in real time is critical in achieving monitoring and control goals for various scaled networks with a high computational burden. In this work, we propose a novel comprehensive framework to overcome the large-dimensionality issue by introducing different approaches for applying model order reduction (MOR) algorithms to the nonlinear system followed by applying real-time water quality regulation algorithm that is based on an advanced model to maintain desirable disinfectant levels in water networks under multi-species dynamics. The performance of this framework is validated using rigorous numerical case studies under a wide range of scenarios demonstrating the challenges associated with regulating water quality under such conditions.
نوع الوثيقة: Working Paper
DOI: 10.1061/JWRMD5.WRENG-6179
URL الوصول: http://arxiv.org/abs/2302.10104
رقم الأكسشن: edsarx.2302.10104
قاعدة البيانات: arXiv
الوصف
DOI:10.1061/JWRMD5.WRENG-6179