Optimization of control setting and size of shunt capacitors on distribution feeders

Loads on electric utility systems have two components: active power (measured in kilowatts) and reactive power (measured in kilovars). Active power has to be generated at the power plant, whereas reactive power can be provided by either power plants or capacitors. It is a well-known fact that shunt power capacitors are the most economical source to meet the reactive power requirements of inductive loads and transmission lines operating at a lagging power factor.This paper describes new contributions to the problem of optimization of size and control setting of shunt capacitors on distribution feeders, so that the losses along the feeder are minimized. The variation of the KVAR of the load on the feeder with the distance from the substation is assumed to be linear. The parameters of this function are estimated from the available KVAR loading on the feeder first by using least-square techniques and then by using least-absolute-value parameter estimation techniques. The results obtained are compared with that obtained if the current profile is assumed to be uniformly distributed on the feeder. Our results show that the optimum size of the capacitor bank as well as its optimum location depend on the parameters of the model used for the load. Also, our results show a large saving in the size of the capacitor banks used with a considerable per-unit-loss reduction along the feeder.This work was supported by the National Science and Engineering Research Council of Canada, Grant No. A4146. The first author acknowledges the help received from Engineer Samy Soliman for reviewing all the mathematical expressions in this paper.     

Finite element reduced order model for noise and vibration reduction of double sandwich panels using shunted piezoelectric patches

This work concerns the control of sound transmission through double laminated panels with viscoelastic core using semi-passive piezoelectric shunt technique. More specifically, the system consists of two laminated walls, each one composed of three layers and called sandwich panel with an air cavity in between. The external sandwich panel has a surface-mounted piezoelectric patches. The piezoelectric elements, connected with resonant shunt circuits, are used for the vibration damping of some specific resonance frequencies of the coupled system. Firstly, a finite element formulation of the fully coupled visco-electro-mechanical-acoustic system is presented. This formulation takes into account the frequency dependence of the viscoelastic material. A modal reduction approach is then proposed to solve the problem at a lower cost. In the proposed technique, the coupled system is solved by projecting the mechanical displacement unknown on a truncated basis composed by the first real short-circuit structural normal modes and the pressure unknown on a truncated basis composed by the first acoustic modes with rigid boundaries conditions. The few initial electrical unknowns are kept in the reduced system. A static correction is also introduced in order to take into account the effect of higher modes. Various results are presented in order to validate and illustrate the efficiency of the proposed finite element reduced order formulation.     

氧化还原电池组等效电路模型

本文综合考虑氧化还原二次电池内部的电化学反应和电池组漏电电流,建立了氧化还原电池组的等效电路模型. 以1 kW额定输出功率的全钒液流储能电池组为例,测试电池组暂态响应和自放电曲线,确定了等效电路模型的重要参数,比较模拟结果与实验结果,计算电池组的内阻和自放电电流,可知漏电电流造成的容量损失约占系统总容量损失的60%左右.     

Band gap control of phononic beam with negative capacitance piezoelectric shunt

Periodic arrays of negative capacitance shunted piezoelectric patches are employed to control the band gaps of phononic beams. The location and the extent of induced band gap depend on the mismatch in impedance generated by each patch. The total impedance mismatch is determined by the added mass and stiffness of each patch as well as the shunting electrical impedance. Therefore, the band gap of the shunted phononic beam can be actively tuned by appropriately selecting the value of negative capacitance. The control of the band gap of phononic beam with negative capacitive shunt is demonstrated numerically by employing transfer matrix method. The result reveals that using negative capacitive shunt to tune the band gap is effective.     

Singular variation property of elastic constants of piezoelectric ceramics shunted to negative capacitance

Piezoelectric shunt damping has been widely used in vibration suppression, sound absorption, noise elimination, etc.In such applications, the variant elastic constants of piezoelectric materials are the essential parameters that determine the performances of the systems, when piezoelectric materials are shunted to normal electrical elements, i.e., resistance,inductance and capacitance, as well as their combinations. In recent years, many researches have demonstrated that the wideband sound absorption or vibration suppression can be realized with piezoelectric materials shunted to negative capacitance. However, most systems using the negative-capacitance shunt circuits show their instabilities in the optimal condition, which are essentially caused by the singular variation properties of elastic constants of piezoelectric materials when shunted to negative capacitance. This paper aims at investigating the effects of negative-capacitance shunt circuits on elastic constants of a piezoelectric ceramic plate through theoretical analyses and experiments, which gives an rational explanation for why negative capacitance shunt circuit is prone to make structure instable. First, the relationships between the elastic constants c_(11), c_(33), c_(55) of the piezoelectric ceramic and the shunt negative capacitance are derived with the piezoelectric constitutive law theoretically. Then, an experimental setup is established to verify the theoretical results through observing the change of elastic constant c_(55) of the shunted piezoelectric plate with the variation of negative capacitance.The experimental results are in good agreement with the theoretical analyses, which reveals that the instability of the shunt damping system is essentially caused by the singular variation property of the elastic constants of piezoelectric material shunted to negative capacitance.     

Investigations of thickness-shear mode elastic constant and damping of shunted piezoelectric materials with a coupling resonator

Shear-mode piezoelectric materials have been widely used to shunt the damping of vibrations where utilizing surface or interface shear stresses. The thick-shear mode(TSM) elastic constant and the mechanical loss factor can change correspondingly when piezoelectric materials are shunted to different electrical circuits. This phenomenon makes it possible to control the performance of a shear-mode piezoelectric damping system through designing the shunt circuit. However, due to the difficulties in directly measuring the TSM elastic constant and the mechanical loss factor of piezoelectric materials, the relationships between those parameters and the shunt circuits have rarely been investigated. In this paper, a coupling TSM electro–mechanical resonant system is proposed to indirectly measure the variations of the TSM elastic constant and the mechanical loss factor of piezoelectric materials. The main idea is to transform the variations of the TSM elastic constant and the mechanical loss factor into the changes of the easily observed resonant frequency and electrical quality factor of the coupling electro–mechanical resonator. Based on this model, the formular relationships are set up theoretically with Mason equivalent circuit method and they are validated with finite element(FE) analyses. Finally, a prototype of the coupling electro–mechanical resonator is fabricated with two shear-mode PZT5 A plates to investigate the TSM elastic constants and the mechanical loss factors of different circuit-shunted cases of the piezoelectric plate. Both the resonant frequency shifts and the bandwidth changes observed in experiments are in good consistence with the theoretical and FE analyses under the same shunt conditions. The proposed coupling resonator and the obtained relationships are validated with but not limited to PZT5 A.     

BEPC静电分离器分路阻抗和功率损耗研究

通过测量BEPC静电分离器各主要模式的分路阻抗,分析了BEPC运行过程中静电分离器的高压电缆隔离层不时烧化的原因,同时对BEPC流强进一步提高时静电分离器中的功耗进行了计算.     

大面积二极管束流诊断

本文叙述了新研制的用于测量大面积相对论性电子束流强的方形罗可夫斯基线圈、薄膜回流器及法拉第筒等三种装置的结构、特性及试验结果。     

四轩型RFQ加速腔高频特性的数值模拟与实验研究

为设计一个高负载因子、高流强的RFQ加速器，使用三维电磁场计算程序MAFIA对加速腔的高频特性进行了模拟计算. 本文主要研究RFQ支撑板高度、宽度、间距、电极形状等结构参数对高频腔体高频特性的影响，根据RFQ加速器的比分路阻抗以及电磁场分布的要求，对RFQ的结构参数进行优化设计，然后根据模拟计算结果加工冷模，进行冷模测量并将测量结果与计算结果加以比较.     

室温CH腔体的单元腔近似优化

 CH（cross-bar H-type structure）结构是近几年提出的一种适用于低β的新型DTL(drift tube linac)加速结构，同IH（interdigital H-type structure）结构相比，CH结构可以工作在更高的频率（150~700 MHz）下，从而可以得到更高的输出能量（150 MeV）。由于DTL腔体为准周期结构，通过对单元腔的MWS(microwave studio)模拟及优化，得到了工作频率为350 MHz，单核能从6 MeV到66 MeV时的腔体并联阻抗及其它腔体参数，并对腔体单元数对腔体特性参数及谐振频率的影响做了定性分析。分析表明：对于CH结构，其有效并联阻抗远大于传统的DTL结构，对于350 MHz的工作频率，在6 MeV时将近100 MΩ/m，即使在能量高达66 MeV时，其有效并联阻抗也大于40 MΩ/m；单元腔近似是一种非常有效的分析DTL加速结构的方法，单元腔计算结果和整腔计算结果相比，谐振频率的相对偏差小于1%; 对于有效并联阻抗的计算，误差也在10%之内。