Kalman-filter-based observer design around optimal control policy for gas pipelines

Seeking the optimal operating policy by an off-line controller for pipelines carrying natural gas has an inherent state estimation problem associated with deviations from demand forecast. This paper presents a Kalman-filter-based observer for the real-time estimation of deviations from the states previously obtained by an off-line controller optimally, around an expected demand function. The observer is based on the linearized form of the non-linear partial differential equations which are the state space representation of isothermal and unidirectional gas flow through a pipeline. Data for the observer are produced by a dynamic simulator. The simulator and linearized observer equations are solved using an implicit finite element method. The observer has been tested on a pipeline subject to certain deviations from demand forecast. It converges in a short span of time.


Optimal control of gas pipelines via infinite-dimensional analysis
Durgut, I; Leblebicioğlu, Mehmet Kemal (1996-05-15)
A general optimal control approach employing the principles of calculus of variations has been developed to determine the best operating strategies for keeping the outlet pressure of gas transmission pipelines around a predetermined value while achieving reasonable energy consumption. The method exploits analytical tools of optimal control theory. A set of partial differential equations characterizing the dynamics of gas flow through a pipeline is directly used The necessary conditions to minimize the speci...
State estimation of transient flow in gas pipelines by a Kalman filter-based estimator
Durgut, İsmail; Leblebicioğlu, Mehmet Kemal (2016-09-01)
In this study, real-time estimation of flow rate and pressure along natural gas pipelines under transient flow condition is aimed. The estimation of the internal states of gas pipelines is based on a recursive discrete data filtering algorithm called the discrete Kalman filter. The state space representation of the transient flow in gas pipelines, which is required for the filtering algorithm, is established by a discrete form of the nonlinear partial differential equations (PDE's) describing the characteri...
Wavelet Multivariate Adaptive Regression Splinesand Their Application to the UK Electricity Market
Yıldırım, Miray Hanım; Bayrak, Özlem Türker; Kestel, Sevtap Ayşe; G Wilhelm, Weber (null; 2015-05-16)
The growing effect of electricity prices on energy markets appeals for more accurate forecasting techniques since the market suffers from high volatility, high frequency, nonstationarity and multiple seasonality. Aiming at maximum utilities under highly-volatile conditions, both the supplier and the consumer sides seek to monitor and response to the ongoing changes of the electricity prices. In this study, we use a new hybrid approach, called Wavelet - Multivariate Adaptive Regression Splines (W MARS), to f...
Wave component sampling method for high performance pipelined circuits
Sever, Refik; Aşkar, Murat; Department of Electrical and Electronics Engineering (2011)
In all of the previous pipelining methods such as conventional pipelining, wave pipelining, and mesochronous pipelining, a data wave propagating on the combinational circuit is sampled whenever it arrives to a synchronization stage. In this study, a new wave-pipelining methodology named as Wave Component Sampling Method (WCSM), is proposed. In this method, only the component of a wave, whose maximum and minimum delay difference exceeds the tolerable value, is sampled, and the other components continue to pr...
Forecasting the Hydro Inflow and Optimization of Virtual Power Plant Pricing
Çabuk, Sezer; Mert, Özenç Murat; Kestel, Sevtap Ayşe; Kalaycı, Erkan (Springer, 2021-01-01)
Hydro inflow forecasting is crucial for effective hydro optimization, virtual power plant pricing, volume risk management, and weather derivatives pricing in the electricity markets. Predicting hydro inflow allows the decision-makers to economically use water for optimal periods, quantify volume risk and determine effective portfolio management strategies. This study aims pricing a hydroelectricity power plant as a Virtual Power Plant based on Turkish energy markets. For pricing of such a non-standard optio...
Citation Formats
I. Durgut and M. K. Leblebicioğlu, “Kalman-filter-based observer design around optimal control policy for gas pipelines,” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, pp. 233–245, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55263.