This paper presents a rotating parallel-plate capacitor;one of the plates is assumed to turn about the common vertical axis through the centers of the square plates. Viewing the problem from a purely geometrical point...This paper presents a rotating parallel-plate capacitor;one of the plates is assumed to turn about the common vertical axis through the centers of the square plates. Viewing the problem from a purely geometrical point of view, we evaluate the overlapping area of the plates as a function of the rotated angle. We then envision the rotation as being a mechanical continuous process. We consider two different rotation mechanisms: a uniform rotation with a constant angular velocity and, a rotation with a constant angular acceleration—we then evaluate the overlapping area as a continuous function of time. From the electrostatic point of view, the time-dependent overlapping area of the plates implies a time-dependent capacitor. Such a variable, a time-dependent capacitor has never been reported in literature. We insert this capacitor into a series with a resistor, forming a RC circuit. We analyze the characteristics of charging and discharging scenarios on two different parallel tracks. On the first track we drive the circuit with a DC power sup-ply. We study the implications of the rotation modes. We compare the response of each case to the corresponding tradi-tional constant capacitor of an equivalent RC circuit;the quantified results are intuitively just. On the second track, we drive the circuit with an AC source. Similar to the analysis of the first track, we generate the relevant electrical characteristics. In the latter case, we also analyze the sensitivity of the response of the circuit with respect to the fre-quency of the source. The analyses of the circuits encounter nontrivial differential equations. We utilize Mathematica [1] to solve these equations.展开更多
The ability of power system to survive the transition from preloading state to the gradual increase in load and thereafter reach an acceptable operational condition is an indication of transient stability of the syste...The ability of power system to survive the transition from preloading state to the gradual increase in load and thereafter reach an acceptable operational condition is an indication of transient stability of the system. The study analyzed load shedding scheme through the use of empirical measurement tools and load-flow simulation techniques. It was geared towards determining effective load shedding strategies to reduce unnecessary overload in order to achieve dynamic stability of the electric power network in the Export Free Trade Zone, Calabar, Nigeria. From the tests and the measurements taken, it was observed that the real and reactive powers from the generator and the mechanical power from the turbine engine were stable when the load shedding controller was switched on, as compared to when it was off. The engine speed, the bus-bar frequency and the output voltage of the generator stabilized within a shorter time (about 8 seconds) when the controller was switched on than when it was on the off condition. Also, there were noticeable fluctuations in the speed of the remaining two generators. It became stable at about 12 seconds after the loss. The variations were 0.3 per cent of the nominal speed value. The excitation voltage fluctuated from 1.2 (pu) to 4.5 (pu) when the bus voltage dipped as a result of additional load. It then came down and stabilized at 1.8 (pu) after few swings. This confirmed that the stability of power system is much enhanced when load shedding controllers are effectively configured on the network.展开更多
为了在设计的早期阶段,以仿真的方式预测电子产品在电快速瞬变脉冲群(electrical fast transient/burst,EFT/B)抗扰度试验中的性能,需要建立干扰源发生器及标准耦合装置的仿真模型。为适应EFT/B抗扰度试验标准的修订和补充,提出一种系...为了在设计的早期阶段,以仿真的方式预测电子产品在电快速瞬变脉冲群(electrical fast transient/burst,EFT/B)抗扰度试验中的性能,需要建立干扰源发生器及标准耦合装置的仿真模型。为适应EFT/B抗扰度试验标准的修订和补充,提出一种系统化的EFT/B发生器等效电路的建模方法。首先,基于对发生器充放电物理过程的分析,提出开路条件(1kΩ)下发生器输出波形的解析表达式,且表达式系数可根据仪器厂商的校准波形加以确定;其次,基于该解析式并采用阶跃函数激励,得到脉冲形成网络的传递函数,并分别采用恒电阻法及参数化电网络综合法得到脉冲形成网络的等效电路;最后,对等效电路各元件参数进行归一化处理,并根据发生器在匹配条件下(50Ω)的校准波形确定归一化系数。将EFT/B发生器的等效电路模型与标准容性耦合夹电路模型进行连接仿真,通过仿真与测量结果的对照验证了所提方法的合理性。展开更多
文摘This paper presents a rotating parallel-plate capacitor;one of the plates is assumed to turn about the common vertical axis through the centers of the square plates. Viewing the problem from a purely geometrical point of view, we evaluate the overlapping area of the plates as a function of the rotated angle. We then envision the rotation as being a mechanical continuous process. We consider two different rotation mechanisms: a uniform rotation with a constant angular velocity and, a rotation with a constant angular acceleration—we then evaluate the overlapping area as a continuous function of time. From the electrostatic point of view, the time-dependent overlapping area of the plates implies a time-dependent capacitor. Such a variable, a time-dependent capacitor has never been reported in literature. We insert this capacitor into a series with a resistor, forming a RC circuit. We analyze the characteristics of charging and discharging scenarios on two different parallel tracks. On the first track we drive the circuit with a DC power sup-ply. We study the implications of the rotation modes. We compare the response of each case to the corresponding tradi-tional constant capacitor of an equivalent RC circuit;the quantified results are intuitively just. On the second track, we drive the circuit with an AC source. Similar to the analysis of the first track, we generate the relevant electrical characteristics. In the latter case, we also analyze the sensitivity of the response of the circuit with respect to the fre-quency of the source. The analyses of the circuits encounter nontrivial differential equations. We utilize Mathematica [1] to solve these equations.
文摘The ability of power system to survive the transition from preloading state to the gradual increase in load and thereafter reach an acceptable operational condition is an indication of transient stability of the system. The study analyzed load shedding scheme through the use of empirical measurement tools and load-flow simulation techniques. It was geared towards determining effective load shedding strategies to reduce unnecessary overload in order to achieve dynamic stability of the electric power network in the Export Free Trade Zone, Calabar, Nigeria. From the tests and the measurements taken, it was observed that the real and reactive powers from the generator and the mechanical power from the turbine engine were stable when the load shedding controller was switched on, as compared to when it was off. The engine speed, the bus-bar frequency and the output voltage of the generator stabilized within a shorter time (about 8 seconds) when the controller was switched on than when it was on the off condition. Also, there were noticeable fluctuations in the speed of the remaining two generators. It became stable at about 12 seconds after the loss. The variations were 0.3 per cent of the nominal speed value. The excitation voltage fluctuated from 1.2 (pu) to 4.5 (pu) when the bus voltage dipped as a result of additional load. It then came down and stabilized at 1.8 (pu) after few swings. This confirmed that the stability of power system is much enhanced when load shedding controllers are effectively configured on the network.
文摘为了在设计的早期阶段,以仿真的方式预测电子产品在电快速瞬变脉冲群(electrical fast transient/burst,EFT/B)抗扰度试验中的性能,需要建立干扰源发生器及标准耦合装置的仿真模型。为适应EFT/B抗扰度试验标准的修订和补充,提出一种系统化的EFT/B发生器等效电路的建模方法。首先,基于对发生器充放电物理过程的分析,提出开路条件(1kΩ)下发生器输出波形的解析表达式,且表达式系数可根据仪器厂商的校准波形加以确定;其次,基于该解析式并采用阶跃函数激励,得到脉冲形成网络的传递函数,并分别采用恒电阻法及参数化电网络综合法得到脉冲形成网络的等效电路;最后,对等效电路各元件参数进行归一化处理,并根据发生器在匹配条件下(50Ω)的校准波形确定归一化系数。将EFT/B发生器的等效电路模型与标准容性耦合夹电路模型进行连接仿真,通过仿真与测量结果的对照验证了所提方法的合理性。