Accurate and rapid calculation of broadband electromagnetic scattering characteristics of high-voltage transmission lines is crucial for studying its passive interference on surrounding communication facilities. However, the current fast computation method combing equally spaced uniform sampling method with parameter estimation (MBPE) technique involves some drawbacks, such as poor robustness and low computation accuracy. With introducing a novel MBPE technique and constructing an adaptive frequency sampling method, this paper proposes a fast reconstruction method of broadband scattering field of high voltage transmission lines with strong stability and high calculation accuracy. Taking IEEE research frequency band and AM radio station working frequency band as examples, the line model and line-surface hybrid model of passive interference of high-voltage transmission line are established respectively, and the method of moments is used to get the scattering field function of the adaptive sampling frequency point. Based on Thiele continued fraction rational function, the scattering field of each frequency band is interpolated, so as to obtain the accurate and rapid solution of broad band scattering field of high-voltage transmission line. The results show that the traditional uniform sampling MBPE technique has poor robustness, low calculation accuracy, and the global average error is as high as 25.63%, while the adaptive MBPE technique is only 9.08%, which has the advantages of high reliability and strong compatibility compared to the traditional MBPE technique.