An efficient geometric parameterization technique for the continuation power flow
| Autor: | Carlos A. Castro, Luiz C. P. da Silva, Edson Righeto, Dilson Amancio Alves, Enio Garbelini, Alfredo Bonini Neto |
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| Rok vydání: | 2007 |
| Předmět: |
Predictor–corrector method
MathematicsofComputing_NUMERICALANALYSIS Energy Engineering and Power Technology symbols.namesake Electric power system Matrix (mathematics) Singularity Robustness (computer science) Control theory Jacobian matrix and determinant symbols Applied mathematics Electrical and Electronic Engineering Newton's method Linear equation Mathematics |
| Zdroj: | Electric Power Systems Research. 77:71-82 |
| ISSN: | 0378-7796 |
| DOI: | 10.1016/j.epsr.2006.02.002 |
| Popis: | Continuation methods have been shown as efficient tools for solving ill-conditioned cases, with close to singular Jacobian matrices, such as the maximum loading point of power systems. Some parameterization techniques have been proposed to avoid matrix singularity and successfully solve those cases. This paper presents a new geometric parameterization scheme that allows the complete tracing of the P–V curves without ill-conditioning problems. The proposed technique associates robustness to simplicity and, it is of easy understanding. The Jacobian matrix singularity is avoided by the addition of a line equation, which passes through a point in the plane determined by the total real power losses and loading factor. These two parameters have clear physical meaning. The application of this new technique to the IEEE systems (14, 30, 57, 118 and 300 buses) shows that the best characteristics of the conventional Newton's method are not only preserved but also improved. |
| Databáze: | OpenAIRE |
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