Local Network Power Flow Analysis: An Accuracy Level Comparison for Two Sets of Equations

This paper addresses the problem of network power flow analysis by comparing two sets of power flow equations: power flow equations based on Tellegen´s theorem and conventional power flow equations. The comparison is based on local performance. A good local performance of power flow equations is important for network planning as network planning requires many thousands of power flow analyses. This paper shows that the equations based on Tellegen´s theorem outperform conventional equations when used in a reduced local model, i.e., for a few selected equations. For the same number of equations selected, Tellegen´s equations give much more accurate results. Numerical examples are provided