We report the long time dynamical behaviour of ac Stark effect in a simple quantum model in which two level atoms interact with quantized coherent radiation field. A new phenomenon of periodic quantum collapse and rev...We report the long time dynamical behaviour of ac Stark effect in a simple quantum model in which two level atoms interact with quantized coherent radiation field. A new phenomenon of periodic quantum collapse and revival of the ac Stark shift of energy level due to ac Stark effect is expressed accurately by analysing the phase of transition probability amplitude. The analytic prediction is confirmed by the numerical results.展开更多
针对基于电压源转换器的高压直流(high voltage direct current based voltage source converter,VSC-HVDC)输电系统,该文提出电磁暂态–机电暂态多尺度建模方法并验证多尺度仿真算法的准确、快速和灵活性。该模型采用频移分析(shifted-...针对基于电压源转换器的高压直流(high voltage direct current based voltage source converter,VSC-HVDC)输电系统,该文提出电磁暂态–机电暂态多尺度建模方法并验证多尺度仿真算法的准确、快速和灵活性。该模型采用频移分析(shifted-frequency analysis,SFA)等多尺度建模方法。首先推导移频(shifted frequency,SF)域和dq域之间的解析变换关系,并提出用于系统特性分析的VSC移频多尺度模型;其次,选择性插入π模型获得直流输电线的多尺度暂态模型;最后,通过调整仿真参数,如仿真时间步长和移动频率,使得建立的模型能够灵活仿真具有多个时间尺度和不同网络位置的各种暂态。采用两端和五端VSC-HVDC输电系统作为算例,仿真结果对比表明,提出的模型和算法能够精确模拟高频暂态,快速仿真慢变化暂态,降低计算成本。此外,多尺度模型还可提高VSC-HVDC输电系统电磁–机电暂态混合仿真的灵活性。展开更多
基金Supported by the National Key Basic Research Programme of China under Grant No 2005CB724500, and the National Natural Science Foundation of China under Grant Nos 60178016 and 10104002.
文摘We report the long time dynamical behaviour of ac Stark effect in a simple quantum model in which two level atoms interact with quantized coherent radiation field. A new phenomenon of periodic quantum collapse and revival of the ac Stark shift of energy level due to ac Stark effect is expressed accurately by analysing the phase of transition probability amplitude. The analytic prediction is confirmed by the numerical results.
文摘针对基于电压源转换器的高压直流(high voltage direct current based voltage source converter,VSC-HVDC)输电系统,该文提出电磁暂态–机电暂态多尺度建模方法并验证多尺度仿真算法的准确、快速和灵活性。该模型采用频移分析(shifted-frequency analysis,SFA)等多尺度建模方法。首先推导移频(shifted frequency,SF)域和dq域之间的解析变换关系,并提出用于系统特性分析的VSC移频多尺度模型;其次,选择性插入π模型获得直流输电线的多尺度暂态模型;最后,通过调整仿真参数,如仿真时间步长和移动频率,使得建立的模型能够灵活仿真具有多个时间尺度和不同网络位置的各种暂态。采用两端和五端VSC-HVDC输电系统作为算例,仿真结果对比表明,提出的模型和算法能够精确模拟高频暂态,快速仿真慢变化暂态,降低计算成本。此外,多尺度模型还可提高VSC-HVDC输电系统电磁–机电暂态混合仿真的灵活性。