Voltage Stability Analysis of Power System Based on Bifurcation Theory

Ma, Youjie; Lv, Shaofeng; Zhou, Xuesong; Gao, Zhiqiang

doi:10.1109/icma.2018.8484525

Cited by 3 publications

(2 citation statements)

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“…Ray and Chaudhuri studied the system by considering the changes in biological parameters and the time cycle of the harvesting effort [14]. Ma et al used the LV model to perform voltage stability analysis of power systems based on bifurcation theory [15]. Chiang et al discussed the innovative growth of Taiwan's personal computer (PC) shipments, analyzing the dynamic competitive relationship between PC categories using the LV model to explain the actual diffusion phenomenon in the competitive market [16].…”

Section: Related Workmentioning

confidence: 99%

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Ecosystem Stability Analysis and Numerical Simulation via Three Improved Lotka-Volterra Models

Wang,

Zhou,

Wang

2023

Fuzzy Systems and Data Mining IX

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This study analyzed the stability of predator-prey ecosystem (including the sensitivity of the initial value and coefficient) via the original Lotka-Volterra model and three improved models. The first improved model considered the impact of hunting and internal competition on the ecosystem, the second introduced the second prey to the original model, while the third added the second-type predator and the second-type prey to the original system. The performed numerical simulation of the original and three improved models proved instability of the ecosystem represented by the original Lotka-Volterra model and the stability of those represented by all three improved models.

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Section: Related Workmentioning

confidence: 99%

“…According to formula (15), we can obtain ω ଵ = −1.5, ω ଶ = 2. Therefore, (0,0) is a saddle point and not a stable equilibrium point.…”

Section: Equilibrium Points and Stability Analysismentioning

confidence: 99%