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

  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},
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… 

Dynamic State and Parameter Estimation for Natural Gas Networks using Real Pipeline

A rapid, scalable computational method is developed for performing the estimation of joint state and parameter estimation for natural gas networks where gas pressures and flows through a network of pipes depend on time-varying injections, withdrawals, and compression controls.

Operation of Natural Gas Pipeline Networks With Storage Under Transient Flow Conditions

We formulate a nonlinear optimal control problem for intraday operation of a natural gas pipeline network that includes storage reservoirs. The dynamics of compressible gas flow through pipes,

Optimal Control for Scheduling and Pricing Intra-day Natural Gas Transport on Pipeline Networks

The objective is to maximize economic welfare for users of the pipeline system, who provide time-dependent price and quantity bids to purchase or supply gas at metered locations on a system with time-varying injections, withdrawals, and control actions of compressors and regulators.

Dynamic State Estimation for Integrated Natural Gas and Electric Power Systems

The proposed dynamic state estimation method of integrated natural gas and electric power systems (IGESs) can obtain the accurate dynamic states in different conditions and two indexes are used to evaluate the DSE performance under three measurement error conditions.

Transient gas pipeline flow: analytical examples, numerical simulation and a comparison to the quasi-static approach

It is shown that adequate numerical discretizations can capture the dynamical behavior sufficiently accurate and that in certain cases an optimization approach that is based on multi-period optimization of steady states does not lead to approximations that converge to the optimal state.

Robust Kalman filter-based dynamic state estimation of natural gas pipeline networks

The proposed robust Kalman filter-based dynamic state estimation method using the linearized gas pipeline transient flow equations can decrease the effects of bad data and achieve better estimating results.

Numerical Solution of the Steady-State Network Flow Equations for a Non-Ideal Gas

—We formulate a steady-state network flow prob- lem for non-ideal gas that relates injection rates and nodal pressures in the network to flows in pipes. For this problem, we present and prove a theorem

Closed loop control of gas flow in a pipe: stability for a transient model

A boundary feedback flow control scheme is presented, that ensures local exponential stability of the equilibrium in an L 2 {L^{2}}-sense, that is done both for the PDE system and an ODE system that is obtained by a suitable spatial semi-discretization.

Monotonicity Properties of Physical Network Flows and Application to Robust Optimal Allocation

It is proved that ordering properties of the solution to the IBVP are preserved when the initial conditions and the parameters of the time-varying coupling law are appropriately ordered, and that when monotone ordering is not preserved, the first crossing of solutions occurs at a network node.



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

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

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

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

Computing Surrogates for Gas Network Simulation Using Model Order Reduction

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

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

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

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

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