This paper proposes second-order consensus protocols with time-delays and gives the measure of the robustness of the protocols to the time-delay existing in the network of agents with second-order dynamics. By employi...This paper proposes second-order consensus protocols with time-delays and gives the measure of the robustness of the protocols to the time-delay existing in the network of agents with second-order dynamics. By employing a frequency domain method, it is proven that the information states and their time derivatives of all the agents in the network achieve consensus asymptotically, respectively, for appropriate communication timedelay if the topology of weighted network is connected. Particularly, a tight upper bound on the communication time-delay that can be tolerated in the dynamic network is found. The consensus protocols are distributed in the sense that each agent only needs information from its neighboring agents, which reduces the complexity of connections between neighboring agents significantly. Numerical simulation results are provided to demonstrate the effectiveness and the sharpness of the theoretical results for second-order consensus in networks in the presence of communication time-delays.展开更多
锂离子电池具有无记忆效应、轻量化、环保等特点,因此常作为电动交通工具、电子设备的能源来源,并适用于各种规模的能源存储。在锂离子电池管理系统中,电池的荷电状态(state of charge,SOC)是最关键的指标之一,其准确估计对于实现电池...锂离子电池具有无记忆效应、轻量化、环保等特点,因此常作为电动交通工具、电子设备的能源来源,并适用于各种规模的能源存储。在锂离子电池管理系统中,电池的荷电状态(state of charge,SOC)是最关键的指标之一,其准确估计对于实现电池系统的高效能量管理和优化控制至关重要。因此本文提出了一种基于动态噪声自适应无迹卡尔曼滤波的SOC估计方法。首先,通过间歇放电实验获取电池不同SOC下的开路电压,并进一步拟合得到电池的OCV-SOC曲线,接着采用二阶RC等效电路模型对锂离子电池建模,然后通过混合功率脉冲特性工况测试对电池模型参数进行辨识。由于实际应用中锂离子电池为非线性系统且SOC估计精度容易受到噪声的影响,本文在卡尔曼滤波算法的基础上采用无迹变换处理,加入噪声自适应过程,以实现噪声特性自适应估计,动态调整测量噪声与过程噪声,提高算法鲁棒性以及估计精度。最后选取DST与FUDS工况进行验证,结果表明在不同工况下动态噪声自适应无迹卡尔曼滤波算法的估计平均绝对误差、最大绝对误差以及均方根误差相较于自适应无迹卡尔曼滤波、无迹卡尔曼滤波算法均有降低,其平均绝对误差小于0.59%。本文提出的动态噪声自适应无迹卡尔曼滤波算法能够更准确地估计锂离子电池SOC。展开更多
分布式资源(distributed energy resources,DERs)的随机元素会引起多虚拟电厂(multi-virtual power plant,MVPP)系统内虚拟电厂(virtual power plant,VPP)策略频繁变化。对于某主体,如何感知其他主体策略突然变化时对自身收益的影响趋势...分布式资源(distributed energy resources,DERs)的随机元素会引起多虚拟电厂(multi-virtual power plant,MVPP)系统内虚拟电厂(virtual power plant,VPP)策略频繁变化。对于某主体,如何感知其他主体策略突然变化时对自身收益的影响趋势,并快速调整自身策略,是亟需解决的难点。该文提出基于二阶随机动力学的多虚拟电厂自趋优能量管理策略,旨在提升VPP应对其他主体策略变化时的自治能力。首先,针对DERs异质运行特性,聚焦可调空间构建VPP聚合运行模型;然后,基于随机图描绘VPP策略变化的随机特性;其次,用二阶随机动力学方程(stochastic dynamic equation,SDE)探索VPP收益结构的自发演化信息,修正其他主体策略变化时自身综合收益;再次,将修正收益作为融合软动作-评价(integrated soft actor–critic,ISAC)强化学习算法的奖励搭建多智能体求解框架。最后,设计多算法对比实验,验证了该文策略的自趋优性能。展开更多
基金supported by the National Natural Science Foundation of China (6057408860274014)
文摘This paper proposes second-order consensus protocols with time-delays and gives the measure of the robustness of the protocols to the time-delay existing in the network of agents with second-order dynamics. By employing a frequency domain method, it is proven that the information states and their time derivatives of all the agents in the network achieve consensus asymptotically, respectively, for appropriate communication timedelay if the topology of weighted network is connected. Particularly, a tight upper bound on the communication time-delay that can be tolerated in the dynamic network is found. The consensus protocols are distributed in the sense that each agent only needs information from its neighboring agents, which reduces the complexity of connections between neighboring agents significantly. Numerical simulation results are provided to demonstrate the effectiveness and the sharpness of the theoretical results for second-order consensus in networks in the presence of communication time-delays.
文摘锂离子电池具有无记忆效应、轻量化、环保等特点,因此常作为电动交通工具、电子设备的能源来源,并适用于各种规模的能源存储。在锂离子电池管理系统中,电池的荷电状态(state of charge,SOC)是最关键的指标之一,其准确估计对于实现电池系统的高效能量管理和优化控制至关重要。因此本文提出了一种基于动态噪声自适应无迹卡尔曼滤波的SOC估计方法。首先,通过间歇放电实验获取电池不同SOC下的开路电压,并进一步拟合得到电池的OCV-SOC曲线,接着采用二阶RC等效电路模型对锂离子电池建模,然后通过混合功率脉冲特性工况测试对电池模型参数进行辨识。由于实际应用中锂离子电池为非线性系统且SOC估计精度容易受到噪声的影响,本文在卡尔曼滤波算法的基础上采用无迹变换处理,加入噪声自适应过程,以实现噪声特性自适应估计,动态调整测量噪声与过程噪声,提高算法鲁棒性以及估计精度。最后选取DST与FUDS工况进行验证,结果表明在不同工况下动态噪声自适应无迹卡尔曼滤波算法的估计平均绝对误差、最大绝对误差以及均方根误差相较于自适应无迹卡尔曼滤波、无迹卡尔曼滤波算法均有降低,其平均绝对误差小于0.59%。本文提出的动态噪声自适应无迹卡尔曼滤波算法能够更准确地估计锂离子电池SOC。
文摘分布式资源(distributed energy resources,DERs)的随机元素会引起多虚拟电厂(multi-virtual power plant,MVPP)系统内虚拟电厂(virtual power plant,VPP)策略频繁变化。对于某主体,如何感知其他主体策略突然变化时对自身收益的影响趋势,并快速调整自身策略,是亟需解决的难点。该文提出基于二阶随机动力学的多虚拟电厂自趋优能量管理策略,旨在提升VPP应对其他主体策略变化时的自治能力。首先,针对DERs异质运行特性,聚焦可调空间构建VPP聚合运行模型;然后,基于随机图描绘VPP策略变化的随机特性;其次,用二阶随机动力学方程(stochastic dynamic equation,SDE)探索VPP收益结构的自发演化信息,修正其他主体策略变化时自身综合收益;再次,将修正收益作为融合软动作-评价(integrated soft actor–critic,ISAC)强化学习算法的奖励搭建多智能体求解框架。最后,设计多算法对比实验,验证了该文策略的自趋优性能。
