A new methodology for small-signal stability analysis of FACTS system
ABSTRACT This paper puts forward a new methodology for the small signal stability analysis of power systems with FACTS devices. The analytical basis of the method is the Poincare map theory and automatic differentiation technique which offers an effective means to easily extend the conventional time domain digital simulation software to have the function of eigenvalue analysis. The Jacobian of the time-varying nonlinear systems is numerically calculated via automatic differentiation with high precision. The approach can handle large-scale system with power electronic devices and sophisticated control strategies and it is always approximation-free to model the entire system. The paper demonstrates the capability of proposed method on a SVC circuit and verifies the accuracy with theoretical result.
Conference Proceeding: An improved algorithm for fast discrete time domain modelling of power electronic circuits[show abstract] [hide abstract]
ABSTRACT: An exact solution of the state differential equations for a power electronic circuit, incorporating a time discretization and a basis transformation, is presented. An eigenvalue-eigenvector expansion of the system matrix allows the efficient evaluation of the state transition matrix and particular integral. A binary search algorithm that does not require the recalculation of the exponential matrix can be used to obtain the state switching times. The basis transformation results in an exact solution when the input forcing function has an arbitrary time variation. Examples that illustrate the features of the method are presented.< >Industry Applications Society Annual Meeting, 1988., Conference Record of the 1988 IEEE; 11/1988
Conference Proceeding: Automatic differentiation in circuit simulation and device modeling.[show abstract] [hide abstract]
ABSTRACT: Automatic differentiation as a technique for accurate and reliable computation of partial derivatives in device models used by circuit simulation is introduced. The requirements for derivative computations in several simulation algorithms are reviewed, and two automatic differentiation methods are discussed. The application of automatic differentiation to circuit simulation and device modeling is demonstrated through several circuit analysis examplesComputer-Aided Design, 1992. ICCAD-92. Digest of Technical Papers., 1992 IEEE/ACM International Conference on; 01/1992