© The Institution of Engineering and Technology
This study presents efficient geometric parameterisation techniques for the continuation power flow. The Jacobian matrix singularity is eliminated by the addition of the line equations which pass through the points in the plane determined by the variables loading factor and the sum of nodal voltage magnitudes, or angles, of all system buses. These techniques enable the complete tracing of P–V curves and the computation of the maximum loading point for any power system, including those with voltage instability problems that have the strong local characteristics, for which the global parameterisation techniques are considered inadequate. An efficient criterion to change the set of lines, based on the analysis of the total power mismatch evolution, is also defined. The obtained results show that the characteristics of Newton's conventional method are preserved and the convergence region around the Jacobian matrix singularity is enhanced. The computational time required to trace the P–V curve can also be reduced, without losing robustness, when the Jacobian matrix is updated only after the system undergoes a significant change.
References
-
-
1)
-
C.A. Cañizares ,
F.L. Alvarado ,
C.L. DeMarco ,
I. Dobson ,
W.F. Long
.
Point of collapse methods applied to AC/DC power systems.
IEEE Trans. Power Syst.
,
2 ,
673 -
683
-
2)
-
Alves, D.A., da Silva, L.C.P., Castro, C.A., da Costa, V.F.: `Continuation load flow method parameterized by power losses', IEEE Power Engineering Society Winter Meeting, January 2000, 2, p. 1123–1128.
-
3)
-
H.D. Chiang ,
A.J. Flueck ,
K.S. Shah ,
N. Balu
.
CPFLOW: a practical tool for tracing power system steady-state stationary behavior due to load and generation variations.
IEEE Trans. Power Syst.
,
2 ,
623 -
634
-
4)
-
V. Ajjarapu ,
C. Christy
.
The continuation power flow: a tool for steady state voltage stability analysis.
IEEE Trans. Power Syst.
,
1 ,
416 -
423
-
5)
-
S.H. Li ,
H.D. Chiang
.
Nonlinear predictors and hybrid corrector for fast continuation power flow.
IET Gener. Transm. Distrib.
,
3 ,
341 -
354
-
6)
-
K. Iba ,
H. Suzuki ,
M. Egawa ,
T. Watanabe
.
Calculation of critical loading condition with nose curve using homotopy continuation method.
IEEE Trans. Power Syst.
,
2 ,
584 -
593
-
7)
-
A. Semlyen ,
F. Léon
.
Quasi-newton power flow using partial Jacobian updates.
IEEE Trans. Power Syst.
,
3 ,
332 -
339
-
8)
-
Alves, D.A., da Silva, L.C.P., Castro, C.A., da Costa, V.F.: `Parameterized fast decoupled load flow for tracing power systems bifurcation diagrams', IEEE Power Engineering Society Summer Meeting, July 1999, 2, p. 708–713.
-
9)
-
E. Garbelini ,
D.A. Alves ,
A. Bonini Neto ,
E. Righeto ,
L.C.P. Silva ,
C.A. Castro
.
An efficient geometric parameterization technique for the continuation power flow.
Electr. Power Syst. Res.
,
1 ,
71 -
82
-
10)
-
R. Seydel
.
(1994)
From equilibrium to chaos: practical bifurcation and stability analysis.
-
11)
-
Mori, H., Seki, K.: `Continuation Newton-GMRES power flow with linear and nonlinear predictors', Large Engineering Systems Conf. on Power Engineering, October 2007, p. 171–175.
-
12)
-
Zhao, J., Zhang, B.: `Reasons and countermeasures for computation failures of continuation power flow', IEEE Power Engineering Society General Meeting, June 2006, p. 6.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-gtd.2010.0048
Related content
content/journals/10.1049/iet-gtd.2010.0048
pub_keyword,iet_inspecKeyword,pub_concept
6
6