@article {IOPORT.05475300, author = {Schlacher, Kurt and Kugi, Andreas}, title = {Mathematical modelling and computational principles for the analysis and simulation of long-distance energy systems.}, year = {1995}, journal = {Mathematics and Computers in Simulation}, volume = {39}, number = {5-6}, issn = {0378-4754}, pages = {565-572}, publisher = {Elsevier Science B.V. (North-Holland), Amsterdam}, doi = {10.1016/0378-4754(94)00119-9}, abstract = {Summary: Methods for the modelling and simulation of long-distance energy systems are considered. Due to Kirchhoff's laws, a special type of nonlinear equation is crucial for the steady state and the transient analysis. A reliable algorithm to solve these equations based on Newton's method is presented. The uniqueness of the solution and the convergence of the method are proved by the stability theory of Lyapunov.}, msc2010 = {I.6xx (J.2xx G.1xx)}, identifier = {05475300}, }