The energy transfer process of natural gas network(NGN)has remarkable dynamic characteristics.However,the model of the gas network dominated by partial differential equations(PDEs)is challenging to analyse due to its ...The energy transfer process of natural gas network(NGN)has remarkable dynamic characteristics.However,the model of the gas network dominated by partial differential equations(PDEs)is challenging to analyse due to its heterogeneous properties,high dimensionality,and significant non-linearity.To cope with the dynamic characteristics of the NGN effectively and accurately,the Schur complement-based dynamic flow calcu-lation method for the NGN is proposed in the paper.Firstly,a time-domain two-port model for the dynamic characteristics of the NGN is derived based on the finite dif-ference method in the Wendroff format.The PDEs are transformed into an easily solvable time-domain linear algebraic model while ensuring the accuracy of the computational results.To alleviate the computational burden,a numerical method based on the Schur complement strategy is then developed.By reducing the dimensions of the matrix equation,the computation speed can be dramatically improved.Finally,case an-alyses are carried out to emphasise the significance of consideration of the dynamic characteristics of NGNs and confirm the validity and precision of the developed approach.展开更多
基金National Natural Science Foundation of China,Grant/Award Numbers:52307130,U22A6007Shanxi Province Science Foundation for Youths,Grant/Award Number:202303021212058。
文摘The energy transfer process of natural gas network(NGN)has remarkable dynamic characteristics.However,the model of the gas network dominated by partial differential equations(PDEs)is challenging to analyse due to its heterogeneous properties,high dimensionality,and significant non-linearity.To cope with the dynamic characteristics of the NGN effectively and accurately,the Schur complement-based dynamic flow calcu-lation method for the NGN is proposed in the paper.Firstly,a time-domain two-port model for the dynamic characteristics of the NGN is derived based on the finite dif-ference method in the Wendroff format.The PDEs are transformed into an easily solvable time-domain linear algebraic model while ensuring the accuracy of the computational results.To alleviate the computational burden,a numerical method based on the Schur complement strategy is then developed.By reducing the dimensions of the matrix equation,the computation speed can be dramatically improved.Finally,case an-alyses are carried out to emphasise the significance of consideration of the dynamic characteristics of NGNs and confirm the validity and precision of the developed approach.
