交流RLC串联电路电流曲线的分析和仿真

Analysis and simulative example of voltaic curve in alternating RLC series circuit

以电工理论为基础 ,证明了电阻、电感、电容串联的交流电路电流曲线关于谐振角频率ω0 的非对称性 ;确定了电流相等时 ,上、下边带角频率之间的关系和计算公式 ,以及上、下限角频率与电路品质因数Q的关系 .角频率ω高于ω0 时 ,电流衰减得慢 ;低于ω0 时 ,电流衰减得快 .在通频带范围内 ,上边带大于下边带 ,上、下边带的宽度差与电路的品质因数Q和ω0 有关 .Q =∞时 ,上、下边带宽度相等 ,电流曲线与横轴垂直 .

In the varied electrotechnics or electron teaching materials and monographs, they don't define non\|symmetrical question of voltaic curve about resonance angle frequency in the series circuit of resistance, inductance and capacitance. Curves are drawn to be symmetrical incorrectly, even below webbing is wider than upper webbing. On the basis of electrical theory, the paper proves non\|symmetrical question of voltaic curve about resonance angle frequency in the series circuit of resistance, inductance and capacitance, quantificationally ascertaining calculational formula and relation of angle frequency between upper webbing and below webbing, when electrical current is equal; as well as ascertaining relation between upper, below webbing and quality factor Q. Moreover, by means of examples, we prove the conclusion of the paper. The conclusion may be useful to people engaged in electrotechnique, electron teaching and electrical theory.