Title
Optimizing gas networks using adjoint gradients.
Abstract
An increasing amount of gas-fired power plants are currently being installed in modern power grids worldwide. This is due to their low cost and the inherent flexibility offered to the electrical network, particularly in the face of increasing renewable generation. However, the integration and operation of gas generators poses additional challenges to gas network operators, mainly because they can induce rapid changes in the demand. This paper presents an efficient minimization scheme of gas compression costs under dynamic conditions where deliveries to customers are described by time-dependent mass flows. The optimization scheme is comprised of a set of transient nonlinear partial differential equations that model the isothermal gas flow in pipes, an adjoint problem for efficient calculation of the objective gradients and constraint Jacobians, and state-of-the-art optimal control methods for solving nonlinear programs. As the evaluation of constraint Jacobians can become computationally costly as the number of constraints increases, efficient constraint lumping schemes are proposed and investigated with respect to accuracy and performance. The resulting optimal control problems are solved using both interior-point and sequential quadratic programming methods. The proposed optimization framework is validated through several benchmark cases of increasing complexity.
Year
Venue
Field
2018
arXiv: Computational Engineering, Finance, and Science
Mathematical optimization,Electrical network,Nonlinear system,Optimal control,Minification,Gas compressor,Operator (computer programming),Sequential quadratic programming,Partial differential equation,Mathematics
DocType
Volume
Citations 
Journal
abs/1804.09601
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Conor O'Malley101.01
Drosos Kourounis2202.29
Gabriela Hug-Glanzmann311320.21
Olaf Schenk453639.02