Iterative solvers in the Newton power flow problem
作者:
Adam Semlyen
所属专业方向:
Power system
摘要:
We present a quasi-Newton power flow methodology
that incorporates several strategies to obtain substantial
computing savings. Newton steps are combined with constant
Jacobian (or “simple”) steps and partial Jacobian updates to get
an efficient quasi-Newton method. The methodology proposed
includes the possibility of selecting the next best step by measuring
the residuals. Partial Jacobian Updates (PJU) are included in the
quasi-Newton power flow using LU factorization updates and/or
the Matrix Modification Lemma. The method has been tested with
systems ranging in size from 14 to 6372 buses. For large power
systems we have obtained savings (in flops) in the order of 50%
compared to Newton’s method.