# State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data

@article{Sundar2019StateAP, title={State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data}, author={Kaarthik Sundar and Anatoly Zlotnik}, journal={IEEE Transactions on Control Systems Technology}, year={2019}, volume={27}, pages={2110-2124} }

We formulate two estimation problems for pipeline systems in which measurements of the compressible gas flowing through a network of pipes are affected by time-varying injections, withdrawals, and compression. We consider a state estimation problem that is then extended to a joint state and parameter estimation problem that can be used for data assimilation. In both formulations, the flow dynamics are described on each pipe by space- and time-dependent densities and mass flux which evolve…

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## References

SHOWING 1-10 OF 37 REFERENCES

### Simulation and State Estimation of Transient Flow in Gas Pipeline Networks Using a Transfer Function Model

- Computer Science, Engineering
- 2006

A transfer function model of a gas pipeline is used as a basis for developing a dynamic simulator for gas pipeline networks and the ability of the proposed approach for obtaining accurate state estimation from noisy measurements is demonstrated through simulations on an example network.

### Model Reduction and Optimization of Natural Gas Pipeline Dynamics

- Engineering
- 2015

We derive a reduced control system model for the dynamics of compressible gas flow through a pipeline subject to distributed time-varying injections, withdrawals, and control actions of compressors.…

### Optimal control of transient flow in natural gas networks

- Computer Science2015 54th IEEE Conference on Decision and Control (CDC)
- 2015

We outline a new control system model for the distributed dynamics of compressible gas flow through large-scale pipeline networks with time-varying injections, withdrawals, and control actions of…

### Operator splitting method for simulation of dynamic flows in natural gas pipeline networks

- Engineering
- 2017

### Leak detection in gas pipeline networks using an efficient state estimator. Part-I: Theory and simulations

- Computer ScienceComput. Chem. Eng.
- 2011

### Computing Surrogates for Gas Network Simulation Using Model Order Reduction

- Computer Science
- 2013

An introductory survey of both methods is given, their application to gas transport problems is discussed, and both methods are compared by means of a simple test case from industrial practice.

### Monotonicity of actuated flows on dissipative transport networks

- Mathematics2016 European Control Conference (ECC)
- 2016

The monotone parameterized control system property is introduced, and it is proved that general dynamic dissipative network flows possess this characteristic under certain conditions.

### Efficient dynamic compressor optimization in natural gas transmission systems

- Engineering2016 American Control Conference (ACC)
- 2016

An efficient scheme to minimize compression costs under dynamic conditions where deliveries to customers are described by time-dependent mass flow and the proposed optimization scheme is validated against an integration of dynamic equations with adaptive time-stepping, as well as a recently proposed state-of-the-art optimal control method.

### Modeling the dynamics of flow in gas pipelines

- Physics, EngineeringIEEE Transactions on Systems, Man, and Cybernetics
- 1984

The description of nonstationary one-dimensional flow of a nonideal gas in a pipe is treated with the goal of developing a mathematical description of flow and pressure (density) dynamics adequate…

### Monotone Order Properties for Control of Nonlinear Parabolic PDE on Graphs

- Mathematics
- 2016

We derive conditions for the propagation of monotone ordering properties for a class of nonlinear parabolic partial differential equation (PDE) systems on metric graphs. For such systems, PDE…