Index characterization of differential–algebraic equations in hybrid analysis for circuit simulation
Index characterization of differential–algebraic equations in hybrid analysis for circuit simulation
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DOI：
10.1002/cta.577
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发表时间：
2010-05
影响因子：
2.3
通讯作者：
Mizuyo Takamatsu;Satoru Iwata
中科院分区：
文献类型：
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作者：
Mizuyo Takamatsu;Satoru Iwata
电路仿真中的现代建模方法自然会导致微分代数方程（DAE）。DAE的索引是数字难度的度量。一般来说，指数越高，DAE的求解难度越大。已知修正节点分析（MNA）在广泛的一类非线性时变电路中产生指数至多为2的DAE。
Modern modeling approaches in circuit simulation naturally lead to differential–algebraic equations (DAEs). The index of a DAE is a measure of the degree of numerical difficulty. In general, the higher the index, the more difficult it is to solve the DAE. The modified nodal analysis (MNA) is known to yield a DAE with index at most two in a wide class of nonlinear time‐varying electric circuits.