针对考虑综合需求响应和电能交互的冷热电联供多综合能源微网系统,提出一种基于博弈的多综合能源微网优化运行策略。首先,建立各微网运营商与用户之间的双层主从博弈模型,并利用Karush-Kuhn-Tucker(KKT)条件和强对偶定理将双层优化模型...针对考虑综合需求响应和电能交互的冷热电联供多综合能源微网系统,提出一种基于博弈的多综合能源微网优化运行策略。首先,建立各微网运营商与用户之间的双层主从博弈模型,并利用Karush-Kuhn-Tucker(KKT)条件和强对偶定理将双层优化模型转化为单层线性优化模型,以便于快速求解;其次,利用交替方向乘子法(alternating direction method of multipliers,ADMM)对合作联盟中各微网运营商进行分布式优化求解,以保护各微网运营商的信息隐私,针对含电能互济的微网运营商之间利益分配问题,提出基于Shapley值法的合作博弈运行策略;最后,通过算例仿真验证了所提模型和方法的有效性。展开更多
A micro-layer model is proposed to account for the lubrication effect of liquid layer near collisions of immersed particles at moderate particle Reynolds number.This new model is to allow determination of the pressure...A micro-layer model is proposed to account for the lubrication effect of liquid layer near collisions of immersed particles at moderate particle Reynolds number.This new model is to allow determination of the pressure profile within the micro-layer including the fluid inertia and viscosity.Then a correction based on the micro-layer model is applied to unsteady 3-D direct simulation of a particle approaching another one.The simulation is based on a modified immersed boundary method with direct force scheme.The quantitative agreement between numerical and experimental results validates the model presented in the study.The simulation results show that the fluid is squeezed prior to contact.When a particle approaches a flat wall or another particle,the lubrication force,obtained by integrating the pressure profile over the particle surface,is increased and prevents the particle from approaching.The model predicts that the velocity of approaching particle starts to decrease when separation distance of particles is less than 0.1dp,where dp is the particle diameter.展开更多
文摘针对考虑综合需求响应和电能交互的冷热电联供多综合能源微网系统,提出一种基于博弈的多综合能源微网优化运行策略。首先,建立各微网运营商与用户之间的双层主从博弈模型,并利用Karush-Kuhn-Tucker(KKT)条件和强对偶定理将双层优化模型转化为单层线性优化模型,以便于快速求解;其次,利用交替方向乘子法(alternating direction method of multipliers,ADMM)对合作联盟中各微网运营商进行分布式优化求解,以保护各微网运营商的信息隐私,针对含电能互济的微网运营商之间利益分配问题,提出基于Shapley值法的合作博弈运行策略;最后,通过算例仿真验证了所提模型和方法的有效性。
文摘A micro-layer model is proposed to account for the lubrication effect of liquid layer near collisions of immersed particles at moderate particle Reynolds number.This new model is to allow determination of the pressure profile within the micro-layer including the fluid inertia and viscosity.Then a correction based on the micro-layer model is applied to unsteady 3-D direct simulation of a particle approaching another one.The simulation is based on a modified immersed boundary method with direct force scheme.The quantitative agreement between numerical and experimental results validates the model presented in the study.The simulation results show that the fluid is squeezed prior to contact.When a particle approaches a flat wall or another particle,the lubrication force,obtained by integrating the pressure profile over the particle surface,is increased and prevents the particle from approaching.The model predicts that the velocity of approaching particle starts to decrease when separation distance of particles is less than 0.1dp,where dp is the particle diameter.
基金This work is partially supported by Natural Science Foundation of China(No.59709007)Supported by State Key Laboratory of Urban Water Resource and Environment(08UWQA04).