TY - GEN
T1 - PV bus modeling in a holomorphically embedded power-flow formulation
AU - Subramanian, Muthu Kumar
AU - Feng, Yang
AU - Tylavsky, Daniel
PY - 2013
Y1 - 2013
N2 - This paper introduces a PV bus model, compatible with the holomorphic embedding (HE) approach, for solving the power-flow bus-power-equilibrium equations (BPEE's). Because the BPEE's in traditional form are nonanalytic due to the presence of the complex-conjugate operator, many powerful tools applicable to the analytic functions cannot be used. Holomorphism is obtained by embedding the BPEE's into a bigger problem in such a way as to render the embedded problem analytic. The effect of the holomorphic embedding is to perform a type of curve following, but the curve followed is that of the embedded function, not the PV curve which is followed by traditional continuation methods. The primary advantage of HE is that it leads to an algorithm that is guaranteed to solve for the stable equilibrium point solution, regardless of starting point and without iteration. In the published literature on the HE approach, there is presently no model for a PV bus. This paper introduces such a model and suggests a remedy for the precision problems that arises with HE in modeling the PV bus.
AB - This paper introduces a PV bus model, compatible with the holomorphic embedding (HE) approach, for solving the power-flow bus-power-equilibrium equations (BPEE's). Because the BPEE's in traditional form are nonanalytic due to the presence of the complex-conjugate operator, many powerful tools applicable to the analytic functions cannot be used. Holomorphism is obtained by embedding the BPEE's into a bigger problem in such a way as to render the embedded problem analytic. The effect of the holomorphic embedding is to perform a type of curve following, but the curve followed is that of the embedded function, not the PV curve which is followed by traditional continuation methods. The primary advantage of HE is that it leads to an algorithm that is guaranteed to solve for the stable equilibrium point solution, regardless of starting point and without iteration. In the published literature on the HE approach, there is presently no model for a PV bus. This paper introduces such a model and suggests a remedy for the precision problems that arises with HE in modeling the PV bus.
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U2 - 10.1109/NAPS.2013.6666940
DO - 10.1109/NAPS.2013.6666940
M3 - Conference contribution
AN - SCOPUS:84893213309
SN - 9781479912551
T3 - 45th North American Power Symposium, NAPS 2013
BT - 45th North American Power Symposium, NAPS 2013
T2 - 45th North American Power Symposium, NAPS 2013
Y2 - 22 September 2013 through 24 September 2013
ER -