Application of quasi-Newton method to load flow studies and solution of load flow during three-phase fault

✍ Scribed by M.H. Saadat

• Publisher: Elsevier Science
• Year: 1978
• Tongue: English
• Weight: 513 KB
• Volume: 1
• Category: Article
• ISSN: 0378-7796
• DOI: 10.1016/0378-7796(78)90021-4

✦ Synopsis

Newton's method, because of its quadratic convergence, is mathematically the most preferable of the several known methods for the solution of load flow problems. However, this method is not absolutely convergent for ill-conditioned problems. This paper presents a modification to Newton's method designed to reduce the number of function evaluations required in the solution of the load flow problem. It is a variation of Newton's method, in which the partial derivatives are replaced by difference equations, which is capable of giving significant improvement for routine load flow studies.

In addition, an algorithm using the Freudenstein-Roth technique is incorporated in the program. This technique, which is essentially a parameter perturbation procedure, together with the quasi-Newton method, envisages a fast and accurate solution for load flow during a solid three-phase shortcircuit.