2023/05/11 by Luke S. Baker, Baker, Luke S., Sachin Shivakumar +7
Engineering · #37N35 #Dynamical Systems (math.DS) #FOS: Mathematics #Integrated Energy Systems Optimization #Optimization and Control (math.OC) #Process Optimization and Integration #Smart Grid Energy Management
paper · pdf · doi:10.48550/arxiv.2305.06658
openalex publication_date 2023/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We design nonlinear and adaptive linear model-predictive control (MPC) techniques to minimize operational costs of compressor-actuated dynamics in natural gas pipeline networks. We establish stability of the local linear system and derive rigorous bounds on error between the nonlinear and linear system solutions. These bounds are used to quantify conditions under which the linear MPC can substitute the nonlinear MPC without significant loss of predictive accuracy. Furthermore, we prove and numerically verify that the computational cost of the linear MPC is orders of magnitude lower than that of solving the baseline optimal control problem. Numerical simulations are performed on nontrivial networks to demonstrate that the proposed MPC can effectively adapt to varying load conditions while maintaining nearly 95% optimality.