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A generalized procedure to obtain first integrals for nonconservative dynamics systems: application to power systems

机译:非保守动力学系统获得第一积分的通用程序:应用于电力系统

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A technique for constructing first integrals for nonconservative dynamical systems based on Noether's principle is reviewed and presented. The technique, which provides a systematic approach, is applied to power systems with nonnegligible transfer conductances, and a first integral is derived. The result is shown to be identical to that obtained by an ad-hoc procedure that has provided excellent practical results. The techniques also provides an avenue to obtain other infinitesimal transformations, which may lead to a more general first integral. Various results available on the variational behavior of nonconservative systems in nonlinear mechanics are introduced to the engineering community.
机译:回顾并提出了一种基于Noether原理构造非保守动力系统第一积分的技术。该技术提供了系统的方法,被应用于具有不可忽略的传输电导的电力系统,并得出了第一积分。结果表明,该结果与通过临时程序获得的结果相同,该程序已提供了极好的实际结果。该技术还提供了获取其他无穷小变换的途径,这可能导致更通用的第一积分。关于非线性力学中非保守系统的变分行为的各种可用结果被介绍给工程界。

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