TY - GEN
T1 - Determining static stability boundaries using a non-iterative method
AU - Makarov, Yuri V.
AU - Ma, Jian
AU - Dong, Zhao Yang
N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].
PY - 2007
Y1 - 2007
N2 - Static voltage and angle stability conditions (and saddle node bifurcations) are often associated with singularities of the power flow Jacobian matrix. This paper presents a new method based on singularity conditions written in Cartesian coordinates to determine static stability boundaries. The Cartesian coordinates instead of the traditional polar coordinates are used, allowing non-iterative locating saddle-node bifurcation points of the power flow problem. The singularity problem is formulated and then is easily reduced to a linear set of equations with respect to the real and imaginary components of nodal voltages. Because the linear problem can be singular in its turning point, singular value decomposition is used to find its solutions. The proposed method allows quick exploration of static stability boundaries in the state space, which is essential for developing real-time wide-area and local system security assessment applications. This paper demonstrates some very promising initial results of a pilot research using a 3-bus power system. © 2007 IEEE.
AB - Static voltage and angle stability conditions (and saddle node bifurcations) are often associated with singularities of the power flow Jacobian matrix. This paper presents a new method based on singularity conditions written in Cartesian coordinates to determine static stability boundaries. The Cartesian coordinates instead of the traditional polar coordinates are used, allowing non-iterative locating saddle-node bifurcation points of the power flow problem. The singularity problem is formulated and then is easily reduced to a linear set of equations with respect to the real and imaginary components of nodal voltages. Because the linear problem can be singular in its turning point, singular value decomposition is used to find its solutions. The proposed method allows quick exploration of static stability boundaries in the state space, which is essential for developing real-time wide-area and local system security assessment applications. This paper demonstrates some very promising initial results of a pilot research using a 3-bus power system. © 2007 IEEE.
KW - Jacobian
KW - Power flow
KW - Saddle node bifurcation
KW - Singular value decomposition
KW - Static voltage and angle stability
KW - Wide area security assessment
UR - https://www.scopus.com/pages/publications/42549086169
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-42549086169&origin=recordpage
U2 - 10.1109/PES.2007.385897
DO - 10.1109/PES.2007.385897
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 1424412986
SN - 9781424412983
T3 - 2007 IEEE Power Engineering Society General Meeting, PES
BT - 2007 IEEE Power Engineering Society General Meeting, PES
T2 - 2007 IEEE Power Engineering Society General Meeting, PES
Y2 - 24 June 2007 through 28 June 2007
ER -