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Conditioning step on the initial estimate when solving ill-conditioned power flow problems
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DOI：10.1016/j.ijepes.2022.108772.png)
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Abstract
En 中文
This short communication describes a conditioning step applied to the initial estimate used in the numerical iterative method to resolve the ill-conditioned power flow problem (PFP). The conditioning step consists of modifying the iterative method's initial estimate through a process involving the Jacobian matrix and the mismatch of the balance equations, both of which are calculated for the initial estimate. The Jacobian matrix is then used to form a perturbed linear system, which has a resultant perturbed matrix with a better condition number. Three options to implement the perturbed form are proposed. One of them is based on a positive -definite matrix composed accordingly to create a linear system based on the initial mismatch of the equa-tions. This linear system's solution is called the 'modified initial estimate.' Finally, the result is used to solve the ill-conditioned PFP via an iterative method. The technique was investigated considering the classical Newton-Raphson (NR) and the Heun-King-Werner (HKW) method and some variants. Experiments in four ill -conditioned power system models with a flat start guess, including a 70 k-bus test system, demonstrate that the methods investigated with this modified initial estimate, including a frozen Jacobian version of the NR solver, achieve convergence with a reduced number of iterations.
Keywords:
Power flow problem
Newton-Raphson method
Ill -conditioned system
Conditioning step
Heun-King-Werner
MATPOWER
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I
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5
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1.1W
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3.1W