Search algorithm for adaptive weighting trajectory in large-scale power systems

The study is aimed at the creation and testing of a search algorithm for the adaptive weighting trajectory corresponding to the smallest ultimate active-power flow for the current circuit-mode situation in terms of aperiodic stability in a power system. To develop the algorithm, a cluster analysis approach was taken using the Jacobi matrix determinant in RastrWin, Microsoft Excel and Matlab software environments alongside various mathematical statistical methods. As a result, the proposed algorithm was developed (in the programming languages of Visual Basic Script and Visual Basic for Applications) and tested based on a change in the numerical value of the Jacobi matrix determinant depending on changes in the active power of both the generating equipment and the power system loads (in the diagram for a part of the Irkutsk power system). Sensory load nodes were determined for the investigated controlled section No. 1 connecting the energy district with the rest of the energy system. An increase in the power (by 0.197, 0.076 and 0.112 MW for nodes of 220, 110 and 6-10 kV, respectively) in these nodes was shown to result in significant changes in the values of the Jacobi matrix determinant (by 0.103, 0.926 and 0.33 p.u. for nodes of 220, 110 and 6-10 kV, respectively). The difference of 27 MW between the values of the limiting power flow both determined by the static aperiodic stability and calculated using the weighting trajectory is explained in terms of the difference between the initial calculation models used for mode weighting. Testing the algorithm on the controlled section No. 1 of the Irkutsk power system led to a conclusion concerning its applicability in searching for an adaptive weighting trajectory with subsequent application in calculating and analysing ultimate active-power flows in the controlled section in terms of static aperiodic stability.

weighting trajectory, Jacobian matrix determinant, aperiodic stability, large-scale power system, sensor nodes, controlled section