Study of network dynamics is very active area in biological and social sciences. However, the relationship between the network structure and the attractors of the dynamics has not been fully understood yet. In this st...Study of network dynamics is very active area in biological and social sciences. However, the relationship between the network structure and the attractors of the dynamics has not been fully understood yet. In this study, we numerically investigated the role of degenerate self-loops on the attractors and its basin size using the budding yeast cell-cycle network model. In the network, all self-loops negatively suppress the node (self-inhibition loops) and the attractors are only fixed points, i.e. point attractors. It is found that there is a simple division rule of the state space by removing the self-loops when the attractors consist only of point attractors. The point attractor with largest basin size is robust against the change of the self-inhibition loop. Furthermore, some limit cycles of period 2 appear as new attractor when a self-activation loop is added to the original network. It is also shown that even in that case, the point attractor with largest basin size is robust.展开更多
针对无网压传感器控制在换流器与电网同步瞬间,可能导致冲击电流过大进而并网失败的问题,提出一种预同步控制策略,在保证跟网型变流器在弱电网下稳定性的前提下,实现基于无网压传感器控制的单相并网逆变器与电网平滑可靠并网。该控制策...针对无网压传感器控制在换流器与电网同步瞬间,可能导致冲击电流过大进而并网失败的问题,提出一种预同步控制策略,在保证跟网型变流器在弱电网下稳定性的前提下,实现基于无网压传感器控制的单相并网逆变器与电网平滑可靠并网。该控制策略通过对开关管施加占空比满足一定约束条件的周期性脉冲,使换流器作为逆变器连接到交流电网之前以单位功率因数运行在整流模式。因此,交流电网的初始相位可通过采样电流来估计,其中电流相位可通过锁相环(Phase⁃Locked Loop,PLL)获取。所提控制器策略无需采集公共耦合点(Point of Common Coupling,PCC)电压,即可实现换流器与电网平滑可靠并网。最后通过半实物实验测试,验证了所提控制策略的有效性。展开更多
文摘Study of network dynamics is very active area in biological and social sciences. However, the relationship between the network structure and the attractors of the dynamics has not been fully understood yet. In this study, we numerically investigated the role of degenerate self-loops on the attractors and its basin size using the budding yeast cell-cycle network model. In the network, all self-loops negatively suppress the node (self-inhibition loops) and the attractors are only fixed points, i.e. point attractors. It is found that there is a simple division rule of the state space by removing the self-loops when the attractors consist only of point attractors. The point attractor with largest basin size is robust against the change of the self-inhibition loop. Furthermore, some limit cycles of period 2 appear as new attractor when a self-activation loop is added to the original network. It is also shown that even in that case, the point attractor with largest basin size is robust.
文摘针对无网压传感器控制在换流器与电网同步瞬间,可能导致冲击电流过大进而并网失败的问题,提出一种预同步控制策略,在保证跟网型变流器在弱电网下稳定性的前提下,实现基于无网压传感器控制的单相并网逆变器与电网平滑可靠并网。该控制策略通过对开关管施加占空比满足一定约束条件的周期性脉冲,使换流器作为逆变器连接到交流电网之前以单位功率因数运行在整流模式。因此,交流电网的初始相位可通过采样电流来估计,其中电流相位可通过锁相环(Phase⁃Locked Loop,PLL)获取。所提控制器策略无需采集公共耦合点(Point of Common Coupling,PCC)电压,即可实现换流器与电网平滑可靠并网。最后通过半实物实验测试,验证了所提控制策略的有效性。