This paper proposes a practical method to determine the wide-area dynamic security region of electrical power systems. The boundary of the security region can be approximated using its piecewise-linear approximation. The goal of this approximation is to find a minimum set of hyperplanes that describe the boundary with a given accuracy. Offline computer simulations are used to generate experimental data to build a set of hyperplanes, which form the Security Region for the Wide-area Interconnection. The hyperplanes will be used in real time with State Estimation data and PMU information to evaluate the current security margin and operational transfer capability, to determine the most limiting elements of the grid, and to select optimal remedial actions. Numerical simulations carried out on the WECC system have demonstrated the effectiveness of this approach.

%B 2009 North American Power Symposium (NAPS) %I IEEE %C Starkville, MS, USA %P 1 - 6 %8 10/2009 %@ 978-1-4244-4428-1 %R 10.1109/NAPS.2009.5484095 %0 Conference Paper %B 2008 IEEE Power and Energy Society General Meeting %D 2008 %T Use multi-dimensional ellipsoid to monitor dynamic behavior of power systems based on PMU measurement %A Jian Ma %A Yuri V. Makarov %A Miller, Carl H. %A Tony B. Nguyen %K AA07-002 %K AARD %K phasor measurement units (PMUs) %K Power system dynamics %XThe paper discusses a new idea of the multi-dimensional characteristic ellipsoid (CELL) approach to monitor dynamic behavior of an interconnected power system using phasor measurement unit (PMU) measurement. The multi-dimensional minimum volume enclosing ellipsoid (MVEE) is extracted based on phasor measurements to represent the feature of dynamic behavior of power systems. The orientation matrix of MVE describes the shape and orientation of the CELL. Extreme events can be identified by tracking the volume change of the CELL with respect to time. Some feature indexes that can be used to determine the disturbance are also proposed to interpret the dynamic behavior of the power system, and to determine the decision trees for extreme event identification procedure. This method will be a useful tool for providing wide-area situational awareness for grid operators, identification of system disturbances and detection of system stresses and their locations.

%B 2008 IEEE Power and Energy Society General Meeting %I IEEE %C Pittsburgh, PA, USA %P 1 - 8 %8 07/2008 %@ 978-1-4244-1905-0 %R 10.1109/PES.2008.4596578