Harmonic domain characterization of the resonant interaction between generator and transmission line

It is known that an untransposed open-ended line causes a negative sequence component in the current and the generator reacts through third and higher harmonic voltages. The currents and voltages can be greatly amplified by resonance to any of these harmonics. The phenomenon of machine-line interaction has traditionally been explained as a sequence of interactive events between the line and the machine. This paper presents a unified noniterative mathematical representation of this interaction. The analysis is formulated in the harmonic domain abc-frame to detect resonance conditions and for the assessment of their stability.