Line Bergeron model is widely adopted for various applications including line fault location. However, it models the line distributed series resistance using a very limited number of lumped resistors, resulting in modeling errors. For long HVDC lines, this modeling error will cause fault location errors. In addition, if high frequency components of measurements are adopted to mitigate the influence of the frequency dependent parameters, the modeling errors of the existing Bergeron model and the fault location errors will be further magnified. To this end, this paper proposes a multi-section Bergeron model to improve line modeling and fault location accuracy. First, the error of the existing Bergeron model is analytically derived to show its limitations. Then, with multiple Bergeron sections in series to well approximate the distributed series resistance, the analytical expression of the multi-section Bergeron model is proposed with rigorously derivations and proofs. Finally, based on the proposed multi-section Bergeron model, a novel fault location scheme for long HVDC lines is presented, where the 1-mode and high frequency components of measurements are utilized to minimize the impact of line frequency dependent characteristics. Numerical experimental results in both LCC and VSC HVDC systems show that the proposed method has higher line modeling accuracy and fault location accuracy than the existing method. The proposed multi-section Bergeron model can potentially be applied to other long transmission line related applications.
Read full abstract