用z变换分析电路的暂态

B. Dobrucký, P. Štefanec, R. Koňarik, O. Chernoyarov
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引用次数: 3

摘要

本文讨论了在电气工程中使用的脉冲波形和脉冲开关函数的数学建模。利用z变换可以得到任意离散时刻的脉冲开关函数作为激励函数的脉冲序列。将这种脉冲序列应用到电路中,可以用反z变换来研究状态变量的响应。用LT-Spice电路模拟器对理论推导波形进行了验证,并与仿真计算结果进行了比较。
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Transient analysis in electrical circuits using Z-transformation
Paper deals with mathematical modelling of impulse waveforms and impulse switching functions used in electrical engineering. Using z-transformation the impulse switching functions can be obtained for any discrete time instant as impulse sequences of exciting functions. Applying such an impulse sequence to electrical circuit the response of state variables can be investigated using inverse z-transformation. Theoretical derived wave-forms are verified by LT-Spice circuit simulator and compared to those of simulation worked-out results.
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