CAJ | 학술논문

求解复杂多输入多输出动态电路全部支路电流电压稳态演化规律，难题之一是列出以动态元件电流电压为状态变量的时域微分积分方程组，难题之二是求解时域微分积分方程组的过程中必须对一元n次多项式分解因式。用Laplace积分变换将时域动态电路问题映射为复频域电路问题，编程运行可以自动列出电路节点像电压满足的代数方程，可以破解第一个难题。设计并运行程序，对节点像电压函数分母多项式进行因式分解，可以破解第二个难题。讨论复杂动态电路全部支路电流电压演化规律求解方法，设计出可以快捷求解动态电路全部支路电流电压演化规律的Mathematica程序。
구해복잡다수입다수출동태전로전부지로전류전압은태연화규률，난제지일시렬출이동태원건전류전압위상태변량적시역미분적분방정조，난제지이시구해시역미분적분방정조적과정중필수대일원n차다항식분해인식。용Laplace적분변환장시역동태전로문제영사위복빈역전로문제，편정운행가이자동렬출전로절점상전압만족적대수방정，가이파해제일개난제。설계병운행정서，대절점상전압함수분모다항식진행인식분해，가이파해제이개난제。토론복잡동태전로전부지로전류전압연화규률구해방법，설계출가이쾌첩구해동태전로전부지로전류전압연화규률적Mathematica정서。
To solve the dynamic evolution law of all branch current and voltage in the circuit , construc-ting and solving the integral-differential equation is required .But its related parametric calculation is very large cumbersome in time domain analysis .In this article , Laplace integral transform was used to map the in-tegral-differential equation to the algebraic equation of the node voltage in complex frequency domain , and the Mathematica programs used to be adopted to solve the algebraic equation of the node voltage .The steady-state response of the complex dynamic circuit is quickly solved with this proposed method .