Symbolic Analysis and Simulation for Power System Dynamic Performance Assessment

This panel contribution presents an integrated approach that combines symbolic and numeric computations to investigate dynamic analysis and simulation issues in power systems. Power system studies including load flow and local bifurcation analysis, require the numerical solution of non-linear equations using the Newton-Raphson-Seydel technique. This algorithm requires the computation of higher order Jacobian matrices, preferably in symbolic form. Symbolic programming procedures are implemented in the MATLAB-MAPLE environment. These include construction of the classical network model in symbolic form, symbolic computation of the Jacobian and 2nd order derivatives and conversion of symbolic equations into C source code that then is compiled as a MEX function callable from MATLAB. A software package, the voltage stability toolbox, has been designed to integrate symbolic and numeric computation with a graphical menu-driven interface based on MATLAB and its extended symbolic toolbox. This contribution demonstrates how this combined symbolic/numeric analysis and simulation tool can be used for dynamic system analysis and simulation including bifurcation studies and non-linear observability assessment. The integrated approach has been tested for various AC power systems including the IEEE 118-bus test systems as well as for AC/DC shipboard power system models