Basic study of loss reduction effect by Stator‐Tooth slits in turbine generators. comparison between calculated results of generators and basic experiments

In this study, we investigate the loss reduction effect by stator‐teeth slits in turbine generators on the basis of electromagnetic field analysis and basic experiments. First, the loss reduction effect in the generator is estimated by the 3D finite element method and the theoretical solution of eddy current loss. Next, an experiment using a simple model that simulates the stator‐core ends of the turbine generator is carried out. It is clarified that the loss reduction effect by the slits depends on the frequency, flux density, and permeability of the stator teeth because the loss reduction effect weakens with the skin effect. © 2013 Wiley Periodicals, Inc. Electr Eng Jpn, 183(3): 17–25, 2013; Published online in Wiley Online Library (wileyonlinelibrary.com). DOI 10.1002/eej.22345     

Advanced closing switch for three‐phase short‐circuit test of a very fast current limiter

Advanced closing switch for three‐phase short‐circuit test was developed for very fast current limiter using power electronics devices. The conventional short‐circuit test method was used for verification of the current interrupting device with longer time duration to interrupt fault current after the separation of contacts. In the conventional short‐circuit test method, a deviation of the closing time between each phase closing switch with a mechanical driving was regulated so that the breaking performance of the conventional switching device could be examined. However, in the new current limiter with very short fault current interruption time, the deviation time between each phase must be reduced less than the regulated time by the conventional test method. For this purpose, the advanced closing switch for three‐phase short‐circuit test method was developed. In the advanced test method, power electronics devices were used for the initiation of three‐phase short‐circuit fault. Results of the short‐circuit test showed that the advanced circuit had very small deviation time between the initiation of each phase fault. Also, the very fast current limiter with power electronics devices was shown to have an intended interrupting performance. © 1999 Scripta Technica, Electr Eng Jpn, 130(1): 68–75, 2000     

Calculation method for strand current distributions in armature winding of a turbine generator

We have developed a calculation method for the strand current distributions in the turbine generator armature windings. These distributions are calculated by using a circuit equation and a 3D finite element method. In the circuit equation, the strand current is solved by introducing a circulating current at each strand of the armature windings. The induced voltage in the circuit equation is produced by leakage flux of the coil end region. The leakage flux is obtained by the 3D finite element method. The calculated strand current distributions had good agreement with the measurements of 360°, 450°, and 540° transposed model coils. © 2003 Wiley Periodicals, Inc. Electr Eng Jpn, 143(2): 50–58, 2003; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.10131     

Magnetic field analysis of a 70‐MW‐class superconducting generator by the 3D finite element method

The three‐dimensional magnetic field and eddy current distribution of the 70‐MW‐class superconducting generator was calculated by a finite element method. The condition for the exciting armature coil was calculated by the jω‐method. In the magnetic flux distribution of the armature winding bore, the value obtained by analysis had good agreement with the measurement. An analysis that let the rotor move by the synchronizing speed was also done. The armature voltage for the nonload condition and the armature current for the three‐phase short‐circuit condition obtained by calculations had good agreement with the measurements. The validity of the analytical model for three‐dimensional magnetic field analysis of superconducting generators was confirmed from these results. In addition, the synchronous reactances were calculated using these results with eddy current in the facing. It was found that the facing had the effect of decreasing synchronous reactance by about 5%. © 2000 Scripta Technica, Electr Eng Jpn, 134(2): 53–60, 2001     

大型汽轮发电机并网运行机端突然短路的仿真分析

基于SIMSEN仿真软件建立了汽轮发电机系统瞬态分析的仿真模型,模型中考虑了电机电磁系统、机械系统、网络元件等的影响.并对1台650 MW汽轮发电机并网运行时各种短路情况进行了仿真计算,得到了发电机的定子电流、励磁电流、电磁转矩及轴力矩随时间的变化曲线及规律,为电机的设计提供了可靠的依据,同时也为其它汽轮发电机的仿真计算提供了一种有效且快捷的方法.     

Transient current analysis of induction generators for wind power generating system

In this paper we present a transient current analysis of induction generators used in a wind power system before and after three‐phase fault conditions. First, the basic equations of an induction generator connected to an infinite bus are developed and then transient current analysis formulas are derived for a three‐phase fault before and after fault clearance. We also determine the initial phase angle for the three‐phase fault or the restoration phase angle of the power supply voltages and the time at which the maximum or minimum transient currents flow in the system. © 2004 Wiley Periodicals, Inc. Electr Eng Jpn, 148(1): 38–45, 2004; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.10319     

Analysis of the current distortion factor of a three‐phase,three‐wire system

In a balanced three‐phase system, the three‐phase current distortion factor of three‐phase ac power sources has been expressed by applying the conventional single‐phase current distortion factor, which is defined for a single‐phase system. However, in an unbalanced three‐phase system, it is difficult to express the three‐phase current distortion factor for distorted three‐phase ac currents by means of the conventional single‐phase current distortion factor. For instance, the conventional current distortion factors for three‐phase ac currents are usually different from each other in the unbalanced three‐phase system. To solve the above problem, this paper proposes a novel definition of the three‐phase current distortion factor. The proposed three‐phase current distortion factor is quite effective for the unbalanced three‐phase system as well as the balanced three‐phase system. © 2000 Scripta Technica, Electr Eng Jpn, 131(4): 1–10, 2000     

Study of phase current measurement by the whole conductors clamping method for three‐phase cable

This paper describes a new measuring method for the phase current in a high‐voltage three‐phase cable. Twenty‐four pieces of independent coils wound around the coreless bobbins are used to make a CT sensor. The primary phase current may be calculated based on the output voltage of each coil. The certain correlation between the output voltage and primary phase current is observed by the experimental data. This new CT sensor enables the measurement of the phase current using the whole conductors clamping method for a three‐phase cable. © 2008 Wiley Periodicals, Inc. Electr Eng Jpn, 165(2): 9–20, 2008; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20753     

汽轮发电机转子匝间短路故障的有限元分析

以300 MW汽轮发电机为例,在建立其二维有限元数值模型基础上,对瞬变电磁场有限元分析过程进行了分析与推导。同时阐述了汽轮发电机在不同工况下磁场分布情况,以及转子绕组发生不同匝间短路故障时通过探测线圈波形进行计算与分析。     

Effects of output power fluctuation on short‐circuit current of induction‐type wind power generators

Effects of the fluctuation inherent in wind speed are studied by a probabilistic method. The random variation in wind speed is responsible for random behavior in output power and internal voltage of a wind power generator. In case of fault occurrence at the instant of high internal voltage, the resultant short‐circuit current will be big, and vice versa. The DC component is also affected. According to the study, 2.4% and 1.3% increase of short‐circuit current in AC and DC components are observed respectively in a large variation case. This implies that the wind speed variation should be considered for accurate short‐circuit study. © 2008 Wiley Periodicals, Inc. Electr Eng Jpn, 166(3): 27–36, 2009; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20721     

Calculation of equivalent circuit constants of synchronous machines considering field transient characteristics using DC decay testing method with open and shorted field windings

It has been reported that the calculated values of field transient behavior in a synchronous machine differ considerably from the measured values. This discrepancy is caused by the use of equivalent circuit constants in the standardized tests provided by JEC‐2130 and IEC‐60034‐4, in which the mutual leakage reactance between the damper and field windings is not accounted for. The authors have been studying a method for calculating equivalent circuit constants for the accurate simulation of transient behavior including the field winding side, by means of a standstill test with a small‐capacity DC power supply (DC decay testing method). The authors have previously presented a calculation method using operational impedances with the field windings opened, shorted, and shorted with an external resistance, obtained by the DC decay test. This paper presents a new method in which the external resistance used in our previous method is no longer needed. Instead, the field winding impedance is determined on the basis of its invariability against slip. The validity of the new method is demonstrated by comparing the calculated and measured values of the armature and field currents during a sudden three‐phase short‐circuit using 10 kVA/200 V/31.9 A/4 P/50 Hz test machines. © 2011 Wiley Periodicals, Inc. Electr Eng Jpn, 178(2): 39–46, 2012; Published online in Wiley Online Library ( wileyonlinelibrary.com ). DOI 10.1002/eej.21207     

汽轮发电机在饱和与磁场畸变时负载励磁电流计算的新方法

磁路饱和与磁场畸变的共同作用会使发电机负载饱和特性显著偏离其空载特性,为了计算这种差异,提出了其负载励磁电流计算的一种改进方法.以300 MW汽轮发电机为例,以有限元方法为工具,获得了反映磁路饱和与磁场畸变共同作用下负载非线性特性的关系曲线族,提出了用这种新曲线族代替空载特性计算负载励磁电流的新方法.通过计算发电机在不同功角下的负载励磁电流,说明该方法比传统方法有较高的计算精度,比有限元方法有较快的计算速度.     

Large‐scale magnetic field analysis by the hybrid finite element‐boundary element method combined with the fast multipole method

This paper describes a large‐scale magnetic field analysis by means of the hybrid finite element‐boundary element (FE‐BE) method. The hybrid FE‐BE method is well‐suited for solving open electromagnetic field problems that comprise movement, nonlinear media, and eddy current. In general, however, large memory and computational costs are required due to the dense blocks in the system matrix generated by the BE part of the hybrid formulation. In order to overcome the above difficulties, we introduce the fast multipole method (FMM) to the hybrid FE‐BE formulation developed by ourselves. Furthermore, we propose a novel preconditioning technique suitable for the hybrid FE‐BE method with the FMM. Some numerical results that demonstrate the effectiveness of the proposed approach are also presented. ©2007 Wiley Periodicals, Inc. Electr Eng Jpn, 162(1): 73–80, 2008; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20508     

A three‐phase constant‐current source using an immittance converter

The term immittance converter refers to an impedance–admittance converter. The immittance converter has an input impedance that is proportional to the admittance of the load connected across output terminals. In this converter, the output current is proportional to the input voltage and the input current is proportional to the output voltage. Consequently, it converts a constant‐voltage source into a constant‐current source and a constant‐current source into a constant‐voltage source. It is well known that the quarter wavelength transmission line shows immittance conversion characteristics. However, it has a very long line length for the switching frequency, and is not suitable for power electronics applications. We thus proposed immittance converters that consist of lumped elements L, C and show improved immittance conversion characteristics at a resonant frequency. A three‐phase constant‐current source is proposed in this paper. It is possible to realize this by a simple circuit using an immittance converter. In this paper, circuit operation, characteristic equations, and results of simulation are described. © 2005 Wiley Periodicals, Inc. Electr Eng Jpn, 151(4): 47–54, 2005; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20078     

水轮发电机定子三维温度场的有限元计算

建立水轮发电机定子三维温度场计算的数学模型和泛函,用有限元法对水轮发电机定子1／2轴向长度的三维温度场进行求解,得到任意一个截面及沿轴向方向的温度分布曲线。对一台320MW的水轮发电机进行计算。结果表明,定子最高温度值与实测值基本相符。     

水轮发电机转子三维温度场的有限元计算

建立水轮发电机转子三维温度场计算的数学模型,用有限元法对水轮发电机转子1／2轴向长度的三维温度场进行求解,给出任意一个截面的温度分布曲线。对一台320MW的水轮发电机进行了数值计算。结果表明,最高温度值与实测值基本相符。     

Reliability evaluation of power systems with high short‐circuit current reduction

Similar to other cities worldwide, the increasing amounts of short‐circuit current in Bangkok (Thailand) and the vicinity areas are becoming higher than the interrupting capacity (IC) of circuit breakers. To cope with the problem, the Electricity Generating Authority of Thailand (EGAT) has come up with the solutions of network reconfiguration, e.g. bus splitting and transmission line disconnecting. These solutions help reduce effectively the amounts of short‐circuit currents by increasing the equivalent system impedance. However, bus splitting and transmission line disconnecting tend to decrease the system reliability. One of the alternative approaches, the installation of high‐voltage direct current (HVDC) can help reduce the amounts of short‐circuit currents, while the system reliability is maintained. Therefore, this paper mainly presents the reliability evaluation method of the systems with HVDC installation, which requires AC/DC power flow calculation. To avoid system constraint violation, generation redispatch, load shedding, and DC power flow control are executed. The Monte Carlo simulation is used to repeatedly evaluate the system reliability until convergence. The proposed method is tested in (i) the IEEE Reliability Test System 79 (RTS79) to confirm the correctness of reliability evaluation and (ii) the system of EGAT Bangkok including its vicinity areas to show the readiness for real implementation. Comparison of reliability indices among all solutions of short‐circuit current reduction is presented and discussed. The results show that the proposed method is effective and the HVDC installation can increase the system reliability, depending on its installation location and capacity. © 2014 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.     

Evaluation of alternating flux leakage testing using 3D nonlinear eddy current analysis and experiment

Alternating magnetic flux leakage testing has been applied in the inspection process for detecting cracks on the surface of steel. To develop a precise inspection method, the flux and eddy current distribution should be investigated taking into account the nonlinearity of steel. This paper describes 3D numerical analysis and experiment for this testing. The property of leakage flux from the crack of steel under ac excitation is investigated using the 3D edge‐based hexahedral finite element method. It is shown that the 3D analysis is obligatory in the precise analysis of magnetic phenomena of this testing. The effect of crack width and depth of leakage flux is clarified, and the relationship between the lift off and the amplitude of leakage flux is also illustrated. The characteristic of leakage flux is confirmed by a verification experiment. © 2002 Wiley Periodicals, Inc. Electr Eng Jpn, 142(1): 8–15, 2003; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.10085     

Three‐dimensional finite element eddy current analysis by using high‐order vector elements

Sets of high‐order basis functions of a tetrahedral element are systematically constructed and applied to finite element analysis of eddy current problems. A polynomial space is divided into a lot of subspaces assigned on the edges, faces, and a volume of the tetrahedral element. Lagrange‐type vector basis functions of the subspaces are presented. The effect of the high‐order vector elements is investigated by a cubic conductor model located in AC steady‐state magnetic fields. In the calculations using the fundamental and second‐order elements, no convergent value of the eddy current power loss can be obtained in spite of fine meshes because the eddy current shifts to the surface of the conductor. The higher‐order vector elements give the convergent solutions in the coarse meshes. © 2004 Wiley Periodicals, Inc. Electr Eng Jpn, 147(4): 60–67, 2004; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.10306     

A calculation method of field current of synchronous machines at sudden short‐circuit

The mutual leakage reactance between D‐axis damper and field windings is ignored in conventional D‐axis equivalent circuits. It has been pointed out, however, that the calculated value of the field current differs considerably from the measured value if this reactance is not taken into account. This is due to the difficulty of determining the physically correct damper winding impedance value. A method of determining the equivalent circuit constants using the mutual leakage reactance has been reported previously, where the D‐axis damper winding time constant is measured from the upper and lower envelopes of field current at sudden three‐phase short‐circuit. Yet there are machines for which the upper and lower envelopes of field current are not readily established, and in this case the method is unsatisfactory. The authors describe a method to accurately identify the equivalent circuit constants taking into account the mutual leakage reactance, using a standstill test with a small‐capacity DC power supply (DC decay testing method). The field current at sudden short‐circuit can be simulated accurately using these equivalent circuit constants. The validity of the proposed method is demonstrated by implementation results on two salient‐pole synchronous machines at the same specifications (one with damper winding, the other without). Furthermore, the dependent relation between the armature leakage reactance and mutual leakage reactance, as well as its influence on the calculation of field transient currents, are made clear. © 2005 Wiley Periodicals, Inc. Electr Eng Jpn, 151(3): 61–70, 2005; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20113