PDF(1946 KB)
Analysis of Static Voltage Stability in Fractional Frequency Transmission Systems
ZHANG Haitao, YANG Kejun, LI Baoquan, ZHANG Siqi, ZHAO Chenting, WEI Yiming, WANG Xiuli, WANG Xifan
Electric Power Construction ›› 2026, Vol. 47 ›› Issue (5) : 39-48.
PDF(1946 KB)
PDF(1946 KB)
Analysis of Static Voltage Stability in Fractional Frequency Transmission Systems
[Objective] This paper systematically analyzes the static voltage stability and power limit characteristics of the fractional frequency transmission system (FFTS), exploring the variation laws and intrinsic mechanisms under varying frequencies and topological structures. [Methods] Based on the mechanism of static voltage stability and the continuation power flow method, the advantages of FFTS in static voltage stability are identified. The investigation reveals that the power limit shows both monotonic and non-monotonic trends as frequency decreases, depending on the network topology. Furthermore, the active power limit expression is derived based on the Thevenin equivalent circuit to elucidate the causes of non-monotonic variations. [Results] For a given topology, the static voltage stability of an FFTS is superior to that of the power system operating at power frequency. However, in specific topologies, the active power limit presents a non-monotonic characteristic of "increase-then-decrease" as frequency declines. This phenomenon originates from the coupling effect between the phase angle of the PV node and the system reactance. When this coupling effect does not affect the power limit, the power limit varies monotonically. [Conclusions] While FFTS offers significant advantages for static voltage stability, its power limits are highly sensitive to topological configurations. Consequently, system parameters must be carefully configured during the design phase.
fractional frequency transmission system / static voltage stability / continuation power flow method / power limit
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Due to the random fluctuation of wind power having impact on the real-time operation state of power system, reasonable optimization of both location and capacity of grid-connected wind farm under the classical operation mode should be considered. It is benefitial for both reducing the static safety risk and improving the economic operation of the grid. Considering the uncertainty of both power-source side and load side, the correlation of different wind speed and the correlation of different loads, a probability power flow calculation method considering the correlation of random variables is studied in this paper, which generates the correlation samples by combing point estimation and inverse Nataf transform. Moreover, through embedding the point-estimation based algorithm for probabilistic power flow, which considers the random correlation, into the adaptive particle swarm optimization algorithm, and avoiding the optimism on the constraints caused by using the point estimation method to solve the probabilistic power flow, taking the minimization of both the active power loss rate of the grid and the average deviation of bus voltages as the objective, the method for reasonably planning both the location and capacity of grid-connected wind farm is presented. Finally, the effectiveness of the proposed optimizing method is validated by the simulation carried out on the IEEE 57-node system. At the same time, the simulation result also shows the necessity of improving the reliability of the optimizing result by considering the correlation of the random variables.
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利益冲突声明(Conflict of Interests): 所有作者声明不存在利益冲突。
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