含勵磁環(huán)節(jié)的分?jǐn)?shù)階電力系統(tǒng)混沌振蕩分析與控制

閔富紅; 王耀達(dá); 竇一平

doi:10.11999/JEIT161398

含勵磁環(huán)節(jié)的分?jǐn)?shù)階電力系統(tǒng)混沌振蕩分析與控制

doi: 10.11999/JEIT161398

基金項(xiàng)目:

國家自然科學(xué)基金(51475246)，江蘇省自然科學(xué)基金(BK20131402)

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- 文章訪問數(shù): 1327
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- 被引次數(shù): 0
出版歷程
- 收稿日期: 2016-12-29
- 修回日期: 2017-03-01
- 刊出日期: 2017-08-19

Analysis and Control of Chaotic Oscillation in Fractional-order Power System with Excitation Model

Funds:

The National Natural Science Foundation of China (51475246), The Natural Science Foundation of Jiangsu Province (BK20131402)

摘要

摘要: 該文以含勵磁環(huán)節(jié)的分?jǐn)?shù)階四階電力系統(tǒng)模型為對象，研究其動力學(xué)行為并加以同步控制。首先，固定系統(tǒng)參數(shù)，利用分岔圖和最大Lyapunov指數(shù)譜計(jì)算系統(tǒng)產(chǎn)生混沌振蕩的最低階次。其次，以單變量法分別研究機(jī)械功率、阻尼系數(shù)和勵磁增益的改變對系統(tǒng)動力學(xué)行為的影響，通過數(shù)值仿真繪制系統(tǒng)隨參數(shù)變化下的分岔圖、Lyapunov指數(shù)譜等，選取不同的系統(tǒng)初值，研究同一系統(tǒng)在不同初值的情況下存在的多吸引子共存現(xiàn)象。最后，基于分?jǐn)?shù)階系統(tǒng)穩(wěn)定性理論和非線性反饋控制理論，設(shè)計(jì)同步控制器實(shí)現(xiàn)系統(tǒng)混沌控制，數(shù)值仿真驗(yàn)證了所設(shè)計(jì)控制器的有效性。
- 分?jǐn)?shù)階系統(tǒng) /
- 四階電力系統(tǒng) /
- 吸引子共存 /
- 同步控制器
Abstract: Based on the four-order power system model, a fractional-order power system model with excitation model is presented in this paper and the dynamic properties of the fractional-order system are investigated and controlled. Firstly, the fractional-order power system of 4D is given and then the minimum order for existence of chaotic oscillation in power system with fixed parameters is achieved through bifurcation diagram and maximum Lyapunov exponent. Secondly, the influence of mechanical power, damping coefficient and excitation gain on system dynamics behavior is studied respectively. The bifurcation diagrams and Lyapunov exponent spectrum of the system are plotted through numerical simulations, respectively. In addition, the coexistence of attractors with different initial conditions in the same system is investigated. Finally, from the stability theory of fractional-order system and nonlinear feedback control theory, a synchronous controller of two power systems with different initials is designed, and numerical simulations show the effectiveness of the controller.
- Fractional-order system /
- Four-order power system /
- Coexistence of attractors /
- Synchronous controller

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參考文獻(xiàn)(20)

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