Analytical solution to swing equations in power grids

HyungSeon Oh

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Analytical solution to swing equations in power grids

机译：电网中摆动方程的分析解决方案

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Objective To derive a closed-form analytical solution to the swing equation describing the power system dynamics, which is a nonlinear second order differential equation.

机译：目的旨在为描述电力系统动态的摆动方程的闭合形式分析解决方案，其是非线性二阶微分方程。

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《PLoS One》 |2019年第11期|共30页
作者
HyungSeon Oh;
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中图分类医药、卫生;
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1. Discussion on ????????The automatic solution of power-system swing-curve equations????????, ????????Electronic-analogue-computer study of synchronous-machine transient stability???????? and ????????Dynamic operation of an a.c. network analyser???????? before the Supply Section, 28th November, 1956 [J] . Proceedings of the IEE - Part A: Power Engineering . 1957,第14期

机译：电力系统摆曲线方程的自动解法探讨同步机暂态稳定性的电子模拟计算机研究?????????交流电的动态操作。网络分析仪???????? 1956年11月28日在补给科前
2. The authors' replies to the discussion on ????????The automatic solution of power-system swing-curve equations????????, ????????Electronic-analogue-computer study of synchronous-machine transient stability???????? and ????????Dynamic operation of an a.c. network analyser???????? [J] . Adamson C., Barnes L., Nellist B.D., Proceedings of the IEE - Part A: Power Engineering . 1957,第14期

机译：作者对“电力系统摆曲线方程的自动解”，“电子模拟计算机研究”的讨论的答复机瞬态稳定性的概念????????交流电的动态操作。网络分析仪????????
3. The automatic solution of power-system swing-curve equations [J] . Adamson Colin, Barnes L., Nellist B.D. Proceedings of the IEE - Part A: Power Engineering . 1957,第14期

机译：电力系统摆曲线方程的自动解
4. Analytical Solutions for Power Flow Equations Based on the Multivariate Quotient-Difference Method [C] . Chengxi Liu, Claus Leth Bak, Yongli Zhu, IEEE Milan PowerTech . 2019

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5. Effect of grid non-orthogonality on the solution of shallow water equations using boundary-fitted grids. [D] . Subbayya, Sankaranarayanan. 2001

机译：网格非正交性对边界拟合网格对浅水方程解的影响。
6. Analytical solution to swing equations in power grids [O] . HyungSeon Oh 2019

机译：电网中摆动方程的分析解决方案
7. Effect of Grid Quality on Convergence to Steady Solutions of the Euler Equations-Numerical Experiments on Solution-Adaptive Unstructured Grids- [O] . Katsuyuki Nakayama, Yoshitaka Sakamura, Tateyuki Suzuki 2005

机译：电网质量对欧拉方程 - 稳定解决方案的稳态解决方案 - 自适应非结构化网格的影响 -
8. PART I Recent Work on Families of Periodic Solutions of Ordinary Differential Equations. PART II Singular Solutions of Systems of Real Analytic Equations. PART III The Stromgren-Wintner Principle on the Termination of Families of Periodic Solutions. [R] . Daniel C. Lewis 1959

机译：第一部分关于常微分方程周期解族的近期研究。第二部分实分析方程组的奇异解。第三部分stromgren-Wintner关于终止家庭周期解的原则。

Analytical solution to swing equations in power grids

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