Analytical Study of the Impacts of Stochastic Load Fluctuation on the Dynamic Voltage Stability Margin Using Bifurcation Theory

Abstract

This paper studies the impacts of stochastic load fluctuations, namely the fluctuation intensity and the load power variation speed, on power system dynamic voltage stability. Additionally, the trade-off relationship between the two parameters is revealed, which provides important insights regarding the potential of using energy storage to maintain voltage stability under high uncertainty. To this end, Stochastic Differential-Algebraic Equations (SDAEs) are used to model the stochastic load variation; bifurcation analysis is carried out to explain the influence of stochasticity. Numerical study and Monte Carlo simulations on the IEEE 14-bus system demonstrate that a larger fluctuation intensity or a slower load power variation speed may lead to a smaller voltage stability margin. To the best of authors' knowledge, this work uncovers the impacts of the time evolution property of the driving parameters, i.e., the load power variation speed and its trade off effect with the fluctuation intensity on the size of the dynamic voltage stability margin. in 2010. Her research interests are in the general areas of power system stability and control, uncertainty quantification in power system security and stability, and wide-area measurement system (WAMS)-based detection, estimation, and control. She is serving on the editorial boards of IEEE Transactions on Power Systems, Power Engineering Letters, and IET Generation, Transmission and Distribution.

Impacts of grid‐scale battery systems on power system operation, case of Baltic region

“…Coinciding stochastic events on both the generation and consumption can lead to voltage and frequency events as described in Refs. [76,77]. Another issue that might arise in power systems with high penetration of renewable generation is the increased need for ancillary services to mitigate the possible stochastic generation down curtailment and the corresponding loss of energy, as discussed in Refs.…”

“…From the perspective of the load, the most important factors are the load power variation speed and its magnitude, as described in Ref. [76]. Such variations, for example, could be introduced by plug-in electric vehicles [84,85], as every different car plugged in for charging could introduce different load profiles depending on the manufacturer, battery capacity, charging technology, the initial state of charge, ambient temperature, etc.…”

“…Similar variability can be omitted also to wind power as described in Refs. [76,92,93]. The reliability of the electrical grid is endangered by the high penetration of such volatile energy sources, causing problems in balancing supply and demand, voltage instability and power quality [94].…”

Targeted False Data Injection Attack against DC State Estimation without Line Parameters

“…The difference among various loads is reflected by time constants, i.e., the relaxation rates of loads, which may range from 0.1s to 300s [14], [15]. Dynamic load models similar to (8)-( 9) have also been proposed and used in previous works [13], [16], [17] for stability analysis. In addition, since load powers are constantly varying in practice, we make the common assumption [13], [17], [18] that static load powers are perturbed by independent Gaussian noises, i.e., P s i (1 + σ p i ξ p i ).…”

Static-Voltage-Stability Analysis of Renewable Energy-Integrated Distribution Power System Based on Impedance Model Index

“…The essence of static-voltage-stability analysis is to determine whether there is a balance point between the static load model and network algebraic equations as a criterion for voltage collapse [11]. Commonly used methods include the (1) Singular Value Decomposition method [12], (2) Sensitivity Analysis method [13], (3) Continuation Power Flow method [14], (4) Voltage Collapse Point method [15], and (5) Bifurcation Theory method [16], etc.…”