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各向异性矩形板和环扇形板横向自由振动的一种通用解法 被引量:6
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作者 鲍四元 沈峰 《固体力学学报》 CAS CSCD 北大核心 2019年第6期560-570,共11页
提出各向异性矩形板和环扇形板在弹性边界约束下横向自由振动的通用解法.对于各向异性环扇形板,引入径向对数坐标简化其基本理论.两种不同形状板的几何参数和势能可建立统一的表达式,基于改进Fourier级数和Hamilton原理,从而实现板自由... 提出各向异性矩形板和环扇形板在弹性边界约束下横向自由振动的通用解法.对于各向异性环扇形板,引入径向对数坐标简化其基本理论.两种不同形状板的几何参数和势能可建立统一的表达式,基于改进Fourier级数和Hamilton原理,从而实现板自由振动问题的统一求解.两种形状板自由振动问题的通用解法具有广泛适用性、高精度和高效性.其收敛性和精度得益于位移的改进Fourier级数的表达,可消除初始横向位移函数及其导数在整个区域内的潜在不连续.所提方法的这些特征通过若干数值算例得到验证. 展开更多
关键词 矩形板 环扇形板 横向振动 改进Fourier级数
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Active Power Correction Strategies Based on Deep Reinforcement Learning Part II:A Distributed Solution for Adaptability 被引量:3
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作者 siyuan Jiajun Duan +5 位作者 Yuyang Bai Jun Zhang Di Shi Zhiwei Wang Xuzhu Dong Yuanzhang Sun 《CSEE Journal of Power and Energy Systems》 SCIE EI CSCD 2022年第4期1134-1144,共11页
This article is the second part of Active Power Correction Strategies Based on Deep Reinforcement Learning.In Part II,we consider the renewable energy scenarios plugged into the large-scale power grid and provide an a... This article is the second part of Active Power Correction Strategies Based on Deep Reinforcement Learning.In Part II,we consider the renewable energy scenarios plugged into the large-scale power grid and provide an adaptive algorithmic implementation to maintain power grid stability.Based on the robustness method in Part I,a distributed deep reinforcement learning method is proposed to overcome the infuence of the increasing renewable energy penetration.A multi-agent system is implemented in multiple control areas of the power system,which conducts a fully cooperative stochastic game.Based on the Monte Carlo tree search mentioned in Part I,we select practical actions in each sub-control area to search the Nash equilibrium of the game.Based on the QMIX method,a structure of offine centralized training and online distributed execution is proposed to employ better practical actions in the active power correction control.Our proposed method is evaluated in the modified global competition scenario cases of“2020 Learning to Run a Power Network.Neurips Track 2”. 展开更多
关键词 Active power correction strategies distributed deep reinforcement learning Nash equilibrium renewable energies stochastic game
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