Steady-state performance of synchronous generators with AC and DCstator connections considering saturation

Synchronous generators with AC and DC stator connections are widely used in systems where simultaneous AC and DC power supplies are needed. For these systems the voltage harmonic distortion of AC voltage, DC voltage ripple and DC voltage varying range are of special interest. Because of the commutation of rectifier and the saturation of magnetic circuit, the accurate calculation of voltage harmonic distortion and DC voltage varying range is comparatively difficult. This paper describes a mathematical model on the basis of multiloop method and FEM, which aims at calculating the steady-state characteristics and the voltage waveforms of AC winding accurately. With this method, the full synergic effects of space harmonics resulting from the magnetic circuit geometry, saliency, saturation, winding layouts, and slotting are included. The calculated results are compared with those of experiments     

A comprehensive method for the calculation of inductance coefficients of cage induction machines

In this paper, a new comprehensive method for the calculation of inductance coefficients of squirrel cage induction machine based on combined winding function approach (WFA) and magnetic equivalent circuit (MEC) is presented. By taking into account machine geometry, rotor skewing, stator and rotor slots effects and type of windings connection, this method is able to model most of the important features of an induction machine. The effects of each machine parameter on the inductance coefficients are verified. Also, effects of several rotor asymmetries on these inductances are shown. Simulation results are verified by more elaborate nonlinear finite element model and finally with experimental results.     

Measurement and analysis of surge distribution in motor statorwindings

Models incorporating different levels of sophistication are presented for predicting the surge distribution in motor stator windings. Results predicted by these models have been validated against experimental results. Simple models, which provide insight into the relevant mechanisms, are presented for estimating the interturn voltage and the line-end coil voltage, and they are used to derive guidelines for evaluating alternate winding designs. A detailed model which has been solved using the Electromagnetic Transients Program (EMTP) software package is presented for more accurate prediction of interturn voltages. The influence of coil design parameters on the surge distribution is discussed     

Analysis of the voltage distribution in a motor stator winding subjected to steep-fronted surge voltages by means of a multiconductor lossy transmission line model

In this paper, the effect of steep-fronted voltage waveshapes infringing on a pulse-width-modulated (PWM) inverter fed induction motor is studied. The system, composed of a feeder cable and a stator winding, is modeled and simulated by using multiconductor transmission line theory in order to predict the voltage distribution among the coils of the stator winding. A recently developed time-domain equivalent circuit is used; it allows one to correctly describe the dielectric losses and the skin-effect in the conductors. The relationship among the voltage distribution inside the electrical insulation and parameters like the rise time of the applied voltage, the cable length, and the distributed losses is deeply discussed. Good agreement has been found among experimental and numerical results.     

Voltage and frequency control of self-excited slip-ring induction generators

By varying the effective rotor resistance of a self-excited slip-ring induction generator (SESRIG), the magnitude and frequency of the output voltage can be controlled over a wide speed range. A steady-state analysis based on a normalized equivalent circuit enables the control characteristics to be deduced. For a given stator load impedance, both the frequency and the voltage can be maintained constant as the speed is varied, without changing the excitation capacitance. When the stator load is variable, simultaneous voltage and frequency control requires the excitation capacitance to be changed as the rotor resistance is varied. Experiments performed on a 1.8-kW laboratory machine confirm the feasibility of the method of control. Practical implementation of a closed-loop control scheme for an SESRIG using chopper-controlled rotor resistance is also discussed. With a properly tuned proportional-plus-integral (PI) controller, satisfactory dynamic performance of the SESRIG is obtained. The proposed scheme may be used in a low-cost variable-speed wind energy system for providing good-quality electric power to remote regions.     

A Finite Element based State Model of Solid Rotor Synchronous Machines

In this work, a state model which portrays the dynamic electromagnetic characteristics of a synchronous machine is derived based upon the first order finite element method. The method of finite elements is used to determine the axial component of magnetic vector potential throughout the cross section of the machine. Algebraic relationships between the winding voltages and the magnetic vector potentials are derived. These are used to establish a state model which admits winding voltages as inputs. The resulting model consists of a set of first order, ordinary differential equations which predict vector potentials at grid nodes along with the winding currents as time proceeds following arbitrary disturbances in stator or rotor voltages. As an initial verification step, this method has been applied in two linear examples. The first involves a simplified geometric representation of the synchronous machine for which an analytical solution of the defining field equations can be obtained. The second involves a more detailed geometry which includes stator and rotor slots. Numerical solutions are shown to be in excellent agreement with analytical solutions for the simplified structure. In the detailed geometry, numerical solutions are shown to compare favorably with the classical equivalent circuit representation.     

大级差电源密集型电网短路电流直流分量对断路器的影响

西北电网电压级差大且电源密集易导致系统短路电流超标,常采用串联电抗器、高阻抗变压器等限流措施,但却增大了系统电抗,使短路电流直流分量衰减变慢,可能导致断路器开断失败。以新疆电网乌北区域为研究对象,基于PSASP短路模块的计算结果对大型电网进行等值简化,并在EMTP/ATP中重构简化后的等值网络。校验了EMTP/ATP的等值网络与原网络的短路电流交流分量基本一致,在此基础上定量计算短路电流直流分量对断路器的影响,若仍以短路电流交流分量校验断路器开断能力,则断路器需要留有一定的裕度。     

Turn Insulation Capability of Large AC Motors Part 2 - Impulse Strength

The breakdown voltage of the turn insulation in seventeen motors of various types was measured for 0.1?s risetime impulses. The motors covered a wide range of voltage class, power rating, insulation type, age and winding design. For most motors, the breakdown voltages were 5 pu or higher which is many times the 1.5 pu strength for 0.1 ?s surges suggested in an IEEE guideline [1]. Testing of individual coils indicated that some coils had very low breakdown voltages probably due to imperfections acquired during coil forming or stator winding. In general, the withstand strength of the motors was 50 to 100% higher than that of individual coils. The interface between the turn insulation and the groundwall was involved in most failures. Tests on two new motors indicate that manufacturers have the capability to build motors with impulse strengths of 10 pu or more.     

Model of the commutation phenomena in a universal motor

An equivalent electrical circuit, characterized by the minimum coil sections number necessary to analyze the commutation in a universal motor, is discovered. The model parameters are also determined: in particular, the self and mutual inductance coefficients and the electromotive force induced in the coil sections (taking into account the magnetic saturation), the brush-commutator voltage drop, the electric arc. By means of a numerical solution of the equivalent circuit, the current waveforms are analyzed; the comparison between the computed and measured waveforms of the brush-commutator voltage drops allows to verify the model.     

A new energy recovery double winding cage-rotor induction machine

This paper proposes a new double winding induction machine and its speed control methods. The machine consists of two stator windings and one cage rotor. One stator acts as a motor and the other as a generator. By controlling the voltage supplied to the secondary or the generator winding, the rotor speed can be adjusted. The machine has a similar speed control characteristic to that of a slip-ring induction motor equipped with the rotor energy recovery scheme. The construction, principle, equivalent circuit, and speed control schemes of the new machine are presented. The performance characteristics of the machine are analyzed using the equivalent circuit and verified by experimental results.     

A novel stand-alone dual stator-winding induction generator with static excitation regulation

On the basis of the new idea of electric power integration, a novel stand-alone dual stator-winding induction generator (DWIG) system is built. In this generator, there are two sets of windings to be embedded in the stator slots. One, referred to as the 12-phase power winding, supplies power to the dc load via a 12-phase bridge rectifier, and the other, called the 3-phase excitation winding, is connected to a pulsewidth modulation (PWM) voltage source static excitation regulator (SER). A solid iron squirrel cage rotor is suitable for high speed generation. Experiments and simulations show the ac capacitors can reduce the inductance of rectifier loads and help to reduce the capacitance of the SER. A simple control methodology based on stator voltage orientation (SVO) is presented to regulate the output voltage of the 12-phase bridge rectifier in this paper. Moreover, the electric energy quality and the relative influence factors are studied by detailed experiments and analyses. The proposed system is especially suitable for self contained electrical systems, such as those found on electric vehicles, ships, and aircraft, where high performance and compact size are essential.     

Turbogenerator end-winding leakage inductance calculation using a 3-D analytical approach based on the solution of Neumann Integrals

An analytical technique that can be effectively used for the calculation of the end-winding leakage inductance of a turbogenerator has been presented. It is based on a three-dimensional geometric model of the end-winding region in which each coil is modeled as a set of serially connected straight filaments. The calculation of the mutual inductance of the end coils is based on the multiple solutions of the Neumann integral. The method also accounts for the influence of stator core iron on the end-winding leakage inductance by using the method of images. The results of the calculations have been compared with the measured values of the leakage inductance for 247-MVA turbogenerator manufactured by KONCAR Generators and Motors Inc., Zagreb, Croatia. The principle of the end-winding leakage inductance calculation described herein can be effectively used for other types of machines and windings as well.     

Calculation of machine winding electrical parameters at highfrequencies for switching transient studies

This paper describes a multiconductor transmission line approach for calculating the machine winding electrical parameters for switching transient studies. The technique is based upon the solution of the one dimension diffusion equation in the slot of electrical machines. The coil electrical parameters are calculated considering both the magnetic flux in the iron and in the air. Several practical formulations for calculating the winding electrical parameter are proposed which take into account the machine winding design characteristics. The computer models are validated by a comparison of measured and calculated results in two high voltage induction motors     

不同电压等级部分耦合输电线路故障测距

针对两条输电线路电压等级不同、参数不对称的情况,首先利用采样值计算得到故障前后线路两端的电压、电流突变量,利用单回线的传统对称分量法解耦成序电压、序电流,从母线两端分别推算出耦合部分线路的两端电压、电流,然后利用新的六序分量法,将得到的电压、电流解耦成新的六序分量,最后采用输电线路双端测距方法,即利用从两端计算出故障点处电压相等的性质,获得故障测距公式,从而进行故障测距。仿真结果表明,该算法与故障点过渡电阻、故障类型以及系统的运行方式无关,可解决不同电压等级部分耦合输电线路的故障测距问题。     

输电线高电位取能电源的研制

为解决输电线路高压侧在线监测系统的供电问题,研制了一种新的取能线圈。为取能线圈引入气隙磁阻,并通过理论计算与软件仿真,实现对取能线圈的结构、铁心材料、绕组匝数、气隙长度等参数的合理匹配。基于此取能线圈研制的电源经整体测试表明,能在输电导线电流在90-990A变化范围内安全工作,同时输出2.5-6.1W的功率,性能稳定。     

Equivalent circuit components of nickel-metal hydride battery at different states of charge

Equations that describe the voltage variations with time of rechargeable batteries during charging and discharging were used to determine the component values of the equivalent circuit of nickel-metal hydride batteries under different states of charge (SOC). The equivalent circuit of the battery was described as an ideal voltage source in series with a resistor and the parallel combination of a resistor and a capacitor. The battery model used different values of resistance and capacitance, in the parallel combination, during the different phases of the discharge-rest-charge-rest sequence. The results show that the resistances in the equivalent circuit are approximately constant with variations in the SOC. For the discharge and charge phases the capacitor value increased and decreased, respectively, as the SOC decreased. The value of the capacitor in the parallel RC circuit is an indicator of the battery SOC.     

Experimental investigation and comparative study of inter-turn short-circuits and unbalanced voltage supply in induction machines

A transient model for an induction machine with stator winding turn faults on a single phase is derived using reference frame transformation theory. The negative sequence component and the 3rd harmonic are often considered as accurate indicators. However, small unbalance in the supply voltage and/or in the machine structure that exists in any real system engenders the same harmonics components. In this case, it is too difficult to distinguish between the current harmonics due to the supply voltage and those originated by inter-turn short-circuit faults. For that, to have the correct diagnosis and to increase the sensitivity and the reliability of the diagnostic system, it is crucial to provide the relationship between the inter-turn short-circuits in the stator winding and the supply voltage imbalance through an accurate mathematical model and via a series of experimental essays.     

Equivalent circuit components of nickel-cadmium battery at different states of charge

Equations that describe the voltage variations with time of a rechargeable battery during charging and discharging were used to determine the component values of the equivalent circuit of nickel-cadmium batteries under different states of charge (SOC). The equivalent circuit of the battery was described as an ideal voltage source in series with a resistor and the parallel combination of a resistor and a capacitor. The battery model used different values of resistance and capacitance, in the parallel combination, during the different phases of the discharge-rest-charge-rest sequence. The results show that the series resistance is approximately constant with variations in the SOC while the resistor in the parallel RC circuit increases as the SOC decreases. For the discharge and charge phases the capacitor value increased and decreased, respectively, as the SOC decreased. The value of the resistor or capacitor in the parallel RC circuit is an indicator of the battery SOC.     

电压跌落时带有Crowbar电路的双馈感应发电机的瞬态分析

为了研究双馈感应发电机对电网电压跌落的适应能力,以及其实现低电压穿越的功能,文章通过将由向量法求出的瞬态电流与由等效电路法求出的稳态电流进行叠加而得出的定子、转子故障电流的近似解析式,来分析在定子端三相对称电压跌落、转子侧变换器断开、投入Crowbar电路情况下的双馈感应发电机内部的电磁关系变化过程。此外,在理论分析的基础上,文中建立了2　MW双馈感应发电机的PSCAD模型,且在7.5 kW双馈风力发电测试平台上进行了实验验证。仿真和实验结果表明,这种通过瞬态电流和稳态电流进行叠加的方法而求得的双馈感应发电机故障电流的近似解析表达式可以准确地反映出双馈感应发电机磁链和电流的瞬态变化。     

Transient analysis of a PV power generator charging a capacitor for measurement of the I–V characteristics

Measuring the I–V characteristics is of high importance since it can be considered as a quality and performance certificate for each PV generator. The most precise and inexpensive measuring method is represented in capacitor charging by the PV generator. Using the equivalent circuit of the PV generator with a capacitor as load and applying transient analysis on the circuit, we obtain the capacitor charging voltage and current as a function of time, as well as their differentials as a function of short circuit current and capacitor size. The derived equations facilitate the calculation of proper capacitance size for measuring the I–V characteristics, and considers the acquisition speed of the measuring system as demonstrated through two measurement samples in this paper. The capacitor size is directly and indirectly proportional to the short circuit current and open circuit voltage of the PV generator, respectively. Accordingly, the paper presents a capacitance calculation chart, which enables selecting the correct capacitance for measuring the I–V characteristics by a computerized data acquisition system.