基于广义谐振理论的输电线路中波无源干扰谐振频率预测

现有IEEE（institute of electrical and electronics engineers）标准，目前只能明确0.5~1.7 MHz有限频段的输电线路无源干扰谐振机理。为拓展输电线路无源干扰谐振的研究频率，引入广义谐振理论，提出了一种基于电磁场能量平衡的干扰谐振频率预测构想。将大尺度空间下输电线路铁塔阵列及天线等效为广义封闭系统，从而基于复坡印廷定理，推导了电磁开放系统广义谐振因子的表达式，求解得到的广义谐振因子零值点为无源干扰谐振频点。该方法由于避开了传统将铁塔等效为半波天线的局限，因此可以实现中波频段无源干扰谐振预测。采用IEEE标准算例进行验证，结果表明：1.7 MHz频率以下，基于广义谐振理论的无源干扰谐振频率预测值和缩比模型实测值最大误差不超过±0.169 MHz。

Resonance frequency prediction of reradiation interference from power lines in medium wave band based on the generalized resonance

The existing IEEE (Institute of Electrical and Electronics Engineers) standards, which are developed based on antenna theory, can only explain the reradiation interference mechanism of transmission lines within a limited frequency band of 0.5~1.7 MHz. To study the reradiation interference at higher frequencies, the generalized resonance theory was introduced in this paper, and a method for predicting resonant frequency based on the energy balance of electromagnetic fields was proposed. By taking the power transmission lines, tower arrays and antennas in a large-scale space as a generalized closed system, we were able to derive the expression of the generalized resonance factor of a open electromagnetic system based on the complex Poynting theorem, and hence to obtain the resonant frequencies of reradiation interference, which were the zero points of the generalized resonance factors. Unlike the conventional methods, which take towers as half-wave antennas, this method is able to predict the resonant frequencies of reradiation interference in mid-wave frequency band. The method was used to calculate the examples in IEEE standards. The results show that at frequencies below 1.7 MHz, the error between the prediction results and the resonant frequencies measured using scaled models is no more than ±0.169 MHz.