由于电力有源滤波器(active power filter,APF)快速跟踪消除谐波的特点,其被大量安装在配电网以保证配电网安全可靠运行。然而,随着APF装置大量无序接入配电网,其交互影响现象无法忽视。针对配电网内APF之间交互影响问题,以典型并联双AP...由于电力有源滤波器(active power filter,APF)快速跟踪消除谐波的特点,其被大量安装在配电网以保证配电网安全可靠运行。然而,随着APF装置大量无序接入配电网,其交互影响现象无法忽视。针对配电网内APF之间交互影响问题,以典型并联双APF系统作为研究对象,计及单APF系统稳态误差,基于等效输出阻抗法,建立了并联双APF等效模型。研究了电气及控制参数与并联双APF系统内在联系,分析了弱电网背景下一个APF的系统稳态误差对另一个APF运行稳定性的影响,继而从控制理论角度揭示了双APF并联交互影响原理,提出了抑制交互影响的措施。最后仿真验证了上述理论分析的正确性。展开更多
When surface potential of the particles,ψ ,is high,sinh y can be approximated by≈ ey/2 in the nonlinear Poisson Boltzmann equation.Thus,we present a simple method of calculating the interaction force and energy per ...When surface potential of the particles,ψ ,is high,sinh y can be approximated by≈ ey/2 in the nonlinear Poisson Boltzmann equation.Thus,we present a simple method of calculating the interaction force and energy per unit area between two dissimilar plates with high potentials at constant surface potential.These formulae could be applicable to the case of repulsive case,in which the derivative of y must vanish at an interior point,and a minimum ymin=u always exists.A turning point at~κ h≈ 2(π- 1)e- y1/2 for the repulsion or attraction between dissimilar planar surfaces.These formulae are divergent atκ h∞ ,and zero point atκ h≈ 2π .This means that they can only be used atκ h < 2π and accurate location is atκ h≤ 4. Agreement of the approximation for force,Eq.( 13) ,is good with the exact numerical values of the interaction of dissimilar plates given by Devereux [6] for high surface potentials.For y1≥ 5κ h≤ 3.0 the relative errors of Eq.(13) are less than 5% ,and forκ h≤ 3.5 relative errors are less than 10% .For the interaction energy,Eq.(15),the applicable range extends toκ h=4.0.Beyond this range the error increases rapidly.The higher surface potential is the better the precision of Eq.( 13) and Eq.( 15).The condition of the strong interaction has been satisfied.展开更多
文摘由于电力有源滤波器(active power filter,APF)快速跟踪消除谐波的特点,其被大量安装在配电网以保证配电网安全可靠运行。然而,随着APF装置大量无序接入配电网,其交互影响现象无法忽视。针对配电网内APF之间交互影响问题,以典型并联双APF系统作为研究对象,计及单APF系统稳态误差,基于等效输出阻抗法,建立了并联双APF等效模型。研究了电气及控制参数与并联双APF系统内在联系,分析了弱电网背景下一个APF的系统稳态误差对另一个APF运行稳定性的影响,继而从控制理论角度揭示了双APF并联交互影响原理,提出了抑制交互影响的措施。最后仿真验证了上述理论分析的正确性。
文摘When surface potential of the particles,ψ ,is high,sinh y can be approximated by≈ ey/2 in the nonlinear Poisson Boltzmann equation.Thus,we present a simple method of calculating the interaction force and energy per unit area between two dissimilar plates with high potentials at constant surface potential.These formulae could be applicable to the case of repulsive case,in which the derivative of y must vanish at an interior point,and a minimum ymin=u always exists.A turning point at~κ h≈ 2(π- 1)e- y1/2 for the repulsion or attraction between dissimilar planar surfaces.These formulae are divergent atκ h∞ ,and zero point atκ h≈ 2π .This means that they can only be used atκ h < 2π and accurate location is atκ h≤ 4. Agreement of the approximation for force,Eq.( 13) ,is good with the exact numerical values of the interaction of dissimilar plates given by Devereux [6] for high surface potentials.For y1≥ 5κ h≤ 3.0 the relative errors of Eq.(13) are less than 5% ,and forκ h≤ 3.5 relative errors are less than 10% .For the interaction energy,Eq.(15),the applicable range extends toκ h=4.0.Beyond this range the error increases rapidly.The higher surface potential is the better the precision of Eq.( 13) and Eq.( 15).The condition of the strong interaction has been satisfied.