以非線性電阻製作自激式脈衝充電系統

Design and Implementation of Self-excited Pulsed Charge System by Nonlinear Resistance

龔國森(Kou-Sen Kung)

指導教授 ： 陳兆勛

國立臺灣大學/工學院/應用力學研究所/碩士(2008年)

https://doi.org/10.6342/NTU.2008.10242

摘要

鑑於過去對二次電池充電大多採取連續性電流充電，在充電過程中容易產生極化現象，造成能源損耗以及縮短電池使用壽命。若以間歇式脈衝電流的方式進行充電，則能有效抑制電池內極化現象之形成。本文將利用凡德波爾微分方程所具有的非線性電阻特性，設計一自激式脈衝充電系統。

在本文中將介紹凡德波爾微分方程之穩定性分析，以及方程式所具有負電阻效果。非線性電阻在負電阻區會呈現不穩定狀態，其不穩定型態卻並非使系統發散，相對系統會形成一極限圓。在極限圓情況下，系統將以自激式產生共振型態振盪。利用此特性設計一自激式共振充電系統，由系統產生之振盪訊號傳遞至訊號開關，引入共振型式的輸入電流形成脈衝式充電系統，將該系統保持在脈衝模式下進行充電。經由所設計的共振充電系統，與過去連續電流充電法經實驗後相比較，二次電池能夠得到適當休息，有效抑制電池極化現象，提昇充電效率。

關鍵字

凡德波爾微分方程 ； 極限圓 ； 非線性電阻 ； 脈衝充電

並列摘要

The main purpose of the study was to explore a pulsed current charging self-excited circuit system based on Van der Pol`s differential equation. Most of battery charger at past time are taking constant current method, but the concentration polarization of the battery caused by these methods make the energy consumed and battery life decreased. The pulsed current charging method is not constant current form, can restrain battery polarization effectively. The study was to present the charger system in pulsed current form designed including of stability and the nonlinear resistance quality.

The system during negative resistance domain of nonlinear resistance will converge to one stable range, but not run far away this domain. The region conducted the Van der Pol`s equation make the system oscillate converged within the limit cycle, and form a self-excited periodical oscillation. The signals from the design circuit accroding to the concept pass to the switch, and the current from the power supply can inject into the battery in pulse current form. The system compared to the continuing current system is better obrviously in the charging efficiency.

並列關鍵字

Van der Pol equation ； Limit cycle ； Nonlinear resistance ； Pulse charging method

參考文獻

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