Stochastic power fluctuations analysis on relationship between the tie-line of interconnected power systems and bus power injection

The power fluctuation characteristics of tieline are analyzed in this paper. Based on two area system DC load flow model derivation is carried out. In the time domain, there is a weighted linear relationship between power fluctuation of tie-line and different power fluctuation source's power injection; in the frequency domain, the self-PSD of tie-line power fluctuation can be expressed as the weighted linear sum of the self-PSD and cross-PSD of different power fluctuation source's power injection. Under certain conditions, the self-PSD of tie-line power fluctuation can be expressed via some simplified formula. The relationship deduced before is verified further in simulation of practical grid example.