Polynomial Chaos Approach to Describe the Propagation of Uncertainties Through Gas Networks
The ability of gas-fired power plants to ramp quickly is used to balance fluctuations in the power grid caused by renewable energy sources, which in turn leads to time-varying gas consumption and fluctuations in the gas network. Since gas system operators assume nearly constant gas consumption, there is a need to assess the risk of these stochastic fluctuations, which occur on shorter time scales than the planning horizon. We present a mathematical formulation for these stochastic fluctuations as a generalization of isothermal Euler equations. Furthermore, we discuss control policies to damp fluctuations in the network.
KeywordsGas networks Hyperbolic partial differential equations Uncertainty quantification Stochastic Galerkin method Polynomial chaos expansion
This work is supported by DFG HE5386/14,15, BMBF 05M18PAA, DFG-GRK 2326, Student Guest Program of Los Alamos National Laboratory.
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