一个紧凑的,结构分析,端口汉密尔顿电路分析
A compact, structural analysis amenable, port-Hamiltonian circuit analysis
摘要:
本文将RLC电路的方程作为一个微分-代数方程系统,给出了一个简单的端口-哈密顿公式,并证明了对于适定电路,在此基础上进行结构分析总是成功的,从而为数值解提供了一个正确的正则化方法。DAE很小-其变量/方程的数量最多是电路图中的边的数量。
英文摘要:
This article presents a simple port-Hamiltonian formulation of the equations for an RLC electric circuit as a differential-algebraic equation system, and a proof that structural analysis always succeeds on it for a well-posed circuit, thus providing a correct regularisation for numerical solution. The DAE is small - its number of variables/equations is at most the number of edges in the circuit graph.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。