Research On Application Of Hyperbolic Boundary Observer In Oil Pipeline

With the rapid development of the economy,human beings are increasingly demanding for various resources and energy.In particular,China,as a country with a large energy consumption,cannot continue to produce and live without energy supply.However,no matter how popular other emerging resources are,petroleum resources are always an indispensable resource in China.From the extraction of oil to transportation and storage,and even to the final application,every aspect of this process is critical.We should try our best to eliminate waste of resources and improve energy efficiency,which brings not only the unnecessary loss of resources,but also sometimes leads to dangerous accidents such as explosions.In order to learn about the emergence of such problems in the process of oil transportation in a timely manner,the following work has been done: construct a boundary observer to diagnose faults and respond in time.The focus of this article is on the construction of boundary observers.By comparing the theoretical proofs and simulation verifications of the two observers,we selected the observers that are more suitable for the diagnosis of oil pipeline faults.(1)First consult the literature related to the modeling of petroleum transportation pipelines,and determine the mathematical model describing the petroleum transportation pipeline,namely the hyperbolic equation.Then construct a suitable hyperbolic observer based on the system model,where the structure of the observer is different from that of a centralized parameter system observer.When studying the distributed parameter system described by the hyperbolic equation,we consider not only the main equation,but also the initial values and the boundary conditions.Then,considering the characteristics of the staggered distribution of the actual transportation pipelines buried deep underground,we adopt the method of constructing a boundary observer,which can overcome the difficulty of measuring multiple points(only the velocity of the liquid can be measured by a velocity sensor at the boundary or at the endpoint),economically and efficiently.(2)A detailed theoretical proof is given for the linear hyperbolic observer in the existing literature,by means of the Lyapunov second method.In addition,various constraints for the establishment of the boundary observer are listed through the proof process.It also shows that the observer designed in this paper is more suitable for fault diagnosis of oil pipelines.(3)The establishment of the existing boundary observer needs to satisfy multiple constraints at the same time.In order to get rid of the constraints of multiple constraints,we design a linear boundary observer with coupled wave equations,and give strict theoretical verification.The simulation verification results show that the error system(the system obtained by the difference between the original system and the observation system with coupled wave equations)not only conforms to exponential convergence,but also fulfills finite-time stability,which is consistent with the results of theoretical proofs,which complement each other.(4)This paper uses MacCormack ’s algorithm to give a simulation proof of the establishment of a linear boundary observer with static boundary conditions.The algorithm is described in detail with examples,and the simulation graph proves the exponential convergence of the error system.By comparing with the simulation results of the observer designed in this paper,it is proved once again that the observer designed in this paper is better for the diagnosis of oil pipeline faults.