1614 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 3, JUNE 2007 Practical Rules for Assessment of Inverter-Induced Bearing Currents in Inverter-Fed AC Motors up to 500 kW Annette Muetze, Member, IEEE, and Andreas Binder, Senior Member, IEEE Abstract—The influence of different parameters of a variablespeed drive system on the phenomena of inverter-induced bearing currents has been studied under exactly the same conditions on inverter-operated alternating current motors from 1 to 500 kW. Detailed modeling may not always be applicable with practical applications in the field, where many parameters might be unknown. Therefore, the most important correlations are summarized in the form of a flowchart that is based on the physical cause-and-effect chains. This flowchart can serve as a tool for engineers to estimate the endangerment of a drive system due to inverter-induced bearing currents and select an appropriate mitigation technique if necessary, where detailed knowledge of the different design parameters is not available. Index Terms—Bearings (mechanical), failure analysis, fault diagnosis, variable-speed drives. I. I NTRODUCTION T HE PHENOMENA of additional bearing currents in speed drive systems due to fast switching insulated gate bipolar transistor inverters have been reported for almost a decade (e.g., [1]–[21]). So far, research has focused on the physical explanation for a given drive system on a particular power level. Therefore, a thorough analysis of the qualitative and quantitative significance of the different parameters on the bearing current phenomena was carried out on motors from less than 1 up to 500 kW and is presented. The investigation was done under identical conditions for all investigated drive configurations rendering direct comparison of the obtained results possible [22]. With respect to the present still incomplete understanding of the endangerment of the bearing, areas of safe operation can be identified and a drive setup can be chosen as simple as necessary to protect the bearing without paying the cost for unnecessary devices. Manuscript received February 21, 2005; revised July 29, 2005. A. Muetze was with the Institute of Electrical Energy Conversion, Darmstadt University of Technology, 64283 Darmstadt, Germany. She is now with the School of Engineering, University of Warwick, Coventry, CV4 7AL, U.K. (e-mail: A.Muetze@warwick.ac.uk). A. Binder is with the Institute of Electrical Energy Conversion, Darmstadt University of Technology, 64283 Darmstadt, Germany (e-mail: abinder@ew. tu-darmstadt.de). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TIE.2007.894698 Fig. 1. Cause-and-effect chains of inverter-induced bearing currents. II. R EVIEW OF B EARING C URRENTS IN I NVERTER -F ED M OTORS A voltage-source inverter presents a common mode voltage source. The high-frequency (HF) components of the common mode voltage interact with capacitances of the motor that are not of influence at line operation, thereby possibly generating inverter-induced bearing currents. Four types of inverterinduced bearing currents can be distinguished (Fig. 1). The first two are related to the influence of the common mode voltage vcom on the bearing voltage vb ; the last two are caused by ground currents ig that result from the interaction of vcom with high dv/dt and the capacitance between stator winding and motor frame Cwf . 1) At low bearing temperature (Tb ≈ 25 ◦ C) and motor speed n ≥ 100 r/min, the dv/dt over the bearing, along with the bearing capacitance Cb , causes small capacitive bearing currents in the range of ibcap,max = 5–10 mA. At elevated bearing temperature Tb and/or low motor speed n, where the bearing acts electrically primarily as an ohmic resistance, the common mode voltage vcom causes small bearing currents with amplitudes ibcap,max ≤ 200 mA [15]. This type of bearing current is not discussed any further, because of its much smaller amplitude when compared with the other types of bearing currents. 2) At intact lubrication film, the bearing voltage vb mirrors the common mode voltage vcom at the stator terminals via the capacitive voltage divider “bearing voltage ratio.” If the bearing voltage vb surpasses the threshold voltage of the oil film between the balls and running surfaces (approximately 5–30 V), the electrically loaded oil film breaks down. This breakdown causes an electric discharge machining (EDM)-current pulse. Peak amplitudes 0278-0046/$25.00 © 2007 IEEE MUETZE AND BINDER: PRACTICAL RULES FOR ASSESSMENT OF INVERTER-INDUCED BEARING CURRENTS of the EDM-current pulse are ibEDM,max ≤ 0.5–3 A (e.g., [8], [10], [14]). 3) The high dv/dt at the motor terminals—mainly because of the stator winding-to-frame capacitance Cwf —causes an additional HF ground current ig (also “common-mode current”). This current excites a circular magnetic flux around the motor shaft. This flux induces a shaft voltage vsh along the shaft, and between the two bearings, of the motor. If this voltage is large enough to puncture the lubricating film of the bearing and destroy its insulating properties, it causes a circulating bearing current ibcir in the “stator frame–nondrive end–shaft–drive end” loop. Peak amplitudes vary depending on the motor size and are ibcir,max ≈ 0.5–20 A (Pr ≤ 500 kW) (see, e.g., [5], [16], and [21]). 4) If the rotor is connected to earth potential (e.g., via the mechanical load) with a significantly lower impedance than the stator housing, part of the overall ground current ig can pass the bearings as rotor ground current irg . Bearing currents due to rotor ground currents can reach considerable magnitudes with increasing motor size (see, e.g., [17] and [21]) and destroy bearings within short time of operation [5]. When such currents flow, they add to potentially existing circulating bearing currents, where the latter generally have the much larger dominating amplitudes. In this case, however, the occurrence of EDM currents is impeded, because the lubricating oil film no longer has insulating properties. As a result, generally one type of inverter-induced bearing current is dominating. III. E NDANGERMENT OF B EARINGS BY I NVERTER -I NDUCED B EARING C URRENTS As the bearings of a machine depend on different parameters, such as motor size, field of application, and conditions of operation, the significance of absolute values of bearing currents to evaluate the endangerment of bearings is questionable. Therefore, in the context of “classical” bearing currents of large linefed machines that are mainly due to magnetic asymmetries, the “apparent bearing current density” Jb is taken. Jb is defined by Jb = ib,max /AH (1) where ib,max is the maximum amplitude of the total bearing current, and AH is the Hertzian contact area given by the elastic deformation of the balls or rolls of the bearing under the mechanical pressure in practical operating conditions [23], [24]. The calculation of AH is a complex task. However, for a given machine, the value of AH can generally be obtained from the bearing supplier. In the context of direct current (dc) and low-frequency alternating current applications (50/60 Hz), limits of apparent bearing current densities have been taken from experience. Summarizing different reports [25]–[29], bearing current densities Jb ≤ 0.1 A/mm2 do not influence the bearing life, and bearing current densities Jb ≥ 0.7 A/mm2 may significantly reduce the bearing life. As explained above, the frequencies of inverter-induced bearing currents range from several hundred 1615 Fig. 2. Fluting of a bearing race as a result of inverter-induced bearing currents, time of operation 1275 h, apparent bearing current density Jb ≤ 2.0 A/mm2 , switching frequency fs = 10 kHz, squirrel-cage induction motor with 11-kW rated power, and bearing type 6209 C3. Fig. 3. Investigated parameters of a variable-speed drive system. kilohertz to several megahertz and are thus much higher than 50/60 Hz. These bearing currents, too, can cause bearing fluting, thereby reducing the bearing life or causing bearing failure. Fig. 2 shows the fluting of a bearing race that was caused by inverter-induced bearing currents. In [6], the bearing life with EDM and dv/dt currents is projected by converting “classical” bearing current density limits based on a mechanical model of the bearing contact area. According to these authors, bearing current densities Jb ≤ 0.4 A/mm2 do not degrade, Jb ≤ 0.6–0.8 A/mm2 probably do not degrade, and Jb ≥ 0.8 A/mm2 can significantly endanger the bearing life. A series of 22 test runs for bearing damage assessment was carried out by the authors to further investigate the influence of bearing current amplitude and type, calculated apparent bearing current density, time of operation, and inverter switching frequency on the bearing damage [30]. In these tests, the degree of melting of the bearing race surface and the grade of reduction of the carboxylic acid, which is an indicator of the deterioration of the grease, were found to correlate with the product of inverter switching frequency, time of operation, and bearing current density. However, no clear correlation between either the bearing current density, time of operation, or the inverter switching frequency and the generation of a fluting pattern is identified. Yet, the “conventional” threshold to failure of Jb ≤ 0.1 A/mm2 was not shown to be wrong in these tests. Except for these, statements on the mechanism of damage and a threshold to failure under inverter supply are still missing, and further research is needed. In the meantime, as little is known about the dielectric and tribologic explanations of the mechanism of damage inside 1616 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 3, JUNE 2007 Fig. 4. Structure of the flowchart for bearing current determination. the bearing, the “conventional” threshold to failure Jb ≤ 0.1 A/mm2 is suggested as a rule of thumb, until further knowledge is available. IV. R ULES FOR S AFE M OTOR O PERATION A. Introduction to the Developed Flowchart Due to the cause-and-effect chains of the different types of inverter-induced bearing currents, it is not a single parameter of the drive system but the interaction of several parameters that can cause flow of inverter-induced bearing currents. In practical application in the field, many parameters can be unknown. In such a context, extensive modeling can be impossible. Yet, it is important to identify the flow of inverter-induced bearing current as soon as possible, in order to predict the possible endangerment of the drive system due to these phenomena, and, if necessary, select appropriate mitigation techniques. Numerous measurement results were obtained in the context of a research program for systematic investigation of inverterinduced bearing currents [22]. This program included several motors and inverters with power levels from 11 to 500 kW as well as operation with numerous cables, filters, and bearings. The investigations were conducted under exactly the same test conditions for all configurations, using identical measurement techniques and test setups. The measurement results obtained in the frame of this research program are presented in a tutorial way both quantitatively and qualitatively in [21]. The different investigated parameters are summarized in Fig. 3. In this paper, the measurement results of the research program are used as a starting point to propose a flowchart that can serve as a tool to estimate the endangerment of a drive due to inverter-induced bearing currents, where complex modeling is not possible. Here, the problem identification is rewritten in such a manner as to allow identification of the influence of the different parameters of a given drive system and, thus, to pave the way through the complex existing correlations. The flowchart strongly builds on the fact that one out of the different types of bearing currents will tend to dominate in a given drive system, and identification of this current is therefore a critical and decisive task. Fig. 4 shows an overview of the structure of the flowchart, of which the individual blocks will be discussed in detail subsequently. Whereas the flowchart constitutes an alternative to physical modeling of the phenomena, the relationships that underlie the correlations outlined are supported by modeling that is based on different physical parameters of the machines and their orders MUETZE AND BINDER: PRACTICAL RULES FOR ASSESSMENT OF INVERTER-INDUCED BEARING CURRENTS 1617 Fig. 7. Checking of the influence of motor size. Fig. 5. Checking of the rotor grounding configuration. Fig. 6. Measured bearing currents for grounded and ungrounded rotor with use of shielded and unshielded motor cables of two 110-kW squirrel-cage induction motors, bearing temperature Tb ≈ 70 ◦ C, motor cable length lc = 50 m, and 560-Vdc voltage-source inverter. of magnitudes. The flowchart also summarizes possible means to prevent bearing damage. The focus of the proposed flowchart on the assessment of inverter-induced bearing current should not confuse a broader view of such an approach. As a matter of fact, it could serve as a starting point for the development of an even more comprehensive tool for assessment including other inverter-related parasitic phenomena, such as electromagnetic interference (EMI) and winding insulation failure. B. Influence of the Rotor Grounding Configuration The rotor grounding configuration is the first parameter of influence considered because it determines whether harmful ground currents can flow (Figs. 5 and 6). If the rotor is not grounded, the flowchart has to be continued at step 2. Otherwise, the type of motor cable, shielded or unshielded motor cable, is of importance. If a shielded motor cable is used and properly connected at both motor and inverter sides with a 360◦ connection, the impedance of the stator housing is generally low enough that hardly any rotor ground current flows. If the grounding of the rotor cannot be eliminated and shielded motor cable cannot be used, or if the shielded motor cable is several hundred meters long, mitigation techniques for bearing currents due to rotor ground currents should be applied (Fig. 15). Otherwise, the flowchart can be continued at step 2. Fig. 8. Measured bearing currents for variable motor speed n and bearing temperature Tb , 11-kW squirrel-cage induction motor, 50-m unshielded motor cable, and 560-Vdc voltage-source inverter. C. Influence of the Motor Size If no bearing currents due to rotor ground currents occur, the size of the motor determines strongly whether EDM or circulating bearing currents can occur (Figs. 7–10). This strong significance of the motor size is due to the fact that the voltage induced along the motor shaft vsh that can cause the flow of the circulating bearing currents increases with the cube of the motor frame size H [31], i.e., vsh = ig lfe ∼ H · H 2 = H 3 (2) where the frame size H is defined as the distance between the bottom of the motor housing feet and the center of the motor shaft. As a matter of fact, vsh is proportional to the HF ground current ig and the length of the stator core lfe , where lfe is proportional to the machine size. The common mode current ig is approximately proportional to the stator winding-to-frame capacitance Cwf , which is proportional to the square of the machine frame size H [32]. Drawing from analytical modeling of the flux distribution and voltage generation [31], where the results are in line with the experimental data, the machine frame sizes of 100 and 280 mm can be considered as rules of thumb for thresholds to identify the bearing current type of likelihood. Accordingly, for small machines with frame sizes of below approximately 100 mm, only EDM currents occur. For larger machines with frame sizes of above 280 mm, circulating bearing currents dominate, where the largest amplitudes occur at low motor 1618 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 3, JUNE 2007 Fig. 9. Measured bearing currents for variable motor speed n and bearing temperature Tb , 110-kW squirrel-cage induction motor, 50-m unshielded motor cable, and 560-Vdc voltage-source inverter. Fig. 11. Estimation of the amplitude of circulating bearing currents. Fig. 10. Measured bearing currents for variable motor speed n and bearing temperature Tb , 500-kW squirrel-cage induction motor, 10-m unshielded motor cable, and 560-Vdc voltage-source inverter. speed. Both types of bearing currents can occur at machines with frame sizes between 100 and 280 mm, but the general tendency is for circulating bearing currents to increase with frame size. The amplitude of the circulating bearing current ibcir,max can be estimated from the HF ground current ig of the motor. This is done in step 3 of the flowchart (Section IV-C). The situation is different in the case of EDM bearing currents, where further calculation requires knowledge of many parameters of the drive. Generally, the endangerment of the bearings is likely to increase with the reduction of the motor size because of the decrease of the contact area AH in the bearings. No further estimations are possible at this point, and it has to be decided whether mitigation techniques should be applied or not (Fig. 15). D. Estimation of the Amplitude of the Circulating Current With the HF ground current ig being the driving force of the circulating bearing current, the circulating bearing current ibcir,max can be estimated from the amplitude of the ground current ig,max . To this aim, the analytical model for the flux distribution can be extended to derive an equivalent circuit for the HF circulating bearing current generation including the influence of electrically insulated bearings of different thick- Fig. 12. Measured bearing currents with use of different bearings, 500-kW squirrel-cage induction motor, bearing temperature Tb ≈ 70 ◦ C, 2-m shielded motor cable, and 560-Vdc voltage-source inverter; measured HF ground current 105 A (pk-to-pk) (DE/NDE: drive/nondrive end). nesses [32]. From this circuit, upper limits for the amplitude of the circulating bearing current as a function of the HF ground current are derived (Fig. 11) as follows: • two conventional bearings ibcir,max ≤ 0.4 · ig,max (3) • one insulated, one conventional bearing ibcir,max ≤ 0.2 · ig,max (4) • two insulated bearings ibcir,max ≤ 0.1 · ig,max (5) • one or two hybrid bearings ibcir ≈ 0. (6) It has to be noted that these relationships are upper limits, and the occurring ratios ib,max /ig,max are often much smaller by more than a factor of two (Fig. 12). MUETZE AND BINDER: PRACTICAL RULES FOR ASSESSMENT OF INVERTER-INDUCED BEARING CURRENTS 1619 Fig. 13. Estimation of the amplitude of the ground current. If the amplitude of the ground current ig is unknown, it has to be measured by experts or estimated; otherwise, the use of mitigation techniques for circulating bearing currents has to be considered (Fig. 15). As a rule of thumb, the estimation of the amplitude of the HF ground current ig,max can be done as follows (Fig. 13): The amplitude ig,max depends strongly on the Cwf and the dv/dt of the line-to-ground voltage vLg at the motor terminals [32]. The value of Cwf can either be measured or estimated using Cwf = 0.00024 · H 2 − 0.039 · H + 2.2 (7) where Cwf is given in nanofarads, and H is the machine frame size in millimeters. If the value of dv/dt of the line-to-ground voltage vLg is unknown, it needs to be measured or estimated. The exact calculation of the HF ground current is difficult, as the HF behavior of the machine needs to be known. However, for the present context, only an estimation of the HF ground current amplitude is aimed for. Thus, the extensive set of measurement data obtained in the context of the research program [22] is used to experimentally derive correlations between ig,max , Cwf , and dvLg /dt. In this approach, the cases with dvLg /dt larger, equal, or smaller than 0.5 kV/µs are distinguished. In addition, “electrically long” and “electrically short” motor cables are differentiated. A cable is considered as “electrically long” if the cable length lc is equal or larger than the “critical cable length” lc,crit , i.e., lc ≥ lc,crit . The critical cable length lc,crit is given by the velocity of electromagnetic waves in the cable (“cable velocity”) vcable and the rise time of the voltage pulse tr , i.e., lc,crit = 0.5 · vcable · tr (8) where the value of the cable velocity vcable is approximately 150 · 106 m/s. With these preliminary distinctions, the amplitude of the HF ground current ig,max can then be estimated as follows: • dvLg /dt > 0.5 kV/µs – electrically long motor cable ig,max ≤ 1.5 · 2/3 · dvLg /dt · Cwf (9) Fig. 14. Measured ground and bearing currents with use of different filters of two 500-kW squirrel-cage induction motors, motor speed n = 15 r/min, bearing temperature Tb ≈ 70 ◦ C, 10-m shielded motor cable, and 560-Vdc voltage-source inverter. – electrically short motor cable ig,max ≤ 1.5 · dvLg /dt · Cwf (10) • dvLg /dt ≤ 0.5 kV/µs ig,max ≤ dvLg /dt · 2 · Cwf . (11) E. Mitigation Techniques As the cause-and-effect chains of the different bearing current phenomena are different, mitigation techniques have to be chosen according to the type of bearing current that shall be reduced or eliminated. With the common source of all inverter-induced bearing currents being the HF common-mode voltage of the inverter, all mitigation techniques that eliminate the common-mode voltage of the inverter eliminate inverterinduced bearing currents. In a similar way, if the number of occurrences of inverter-induced bearing currents is reduced by filter or control patterns that reduce the common mode voltage, the bearing damage can possibly be delayed [30]. Brushes and conductive bearing grease have also been suggested to reduce EDM bearing currents. However, the maintenance of the brushes in order to maintain good electrical contact at high frequencies can be difficult. In a similar way, it has to be 1620 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 3, JUNE 2007 Fig. 15. Mitigation techniques for different types of inverter-induced bearing currents. assured that the conductive lubricating grease also has adequate mechanical properties. Bearings other than conventional steal bearings, hybrid or ceramic bearings with ceramic rolling elements eliminate all inverter-induced bearing currents, because the whole rolling element diameter is electrically insulating. It provides an impedance in the bearing current paths that is high enough to completely eliminate the inverter-induced bearing currents. Electrically insulated bearings with sufficient thickness of the insulating layer (at least 250 µm) can effectively reduce circulating bearing currents and bearing currents due to rotor ground currents, but not EDM bearing currents. Filters that do not eliminate the common-mode voltage can mitigate circulating bearing currents and bearing currents due to rotor ground currents, but not EDM bearing currents (Fig. 14). Fig. 15 summarizes different mitigation techniques for different types of inverter-induced bearing currents as they have been suggested in the literature and in the aforementioned research program (see, e.g., [2], [5], [7]–[11], [13], [14], [17]–[21], [33], and [34]). Condition monitoring techniques, such as, for example, proposed in [35] and [36], are beyond the scope of this figure and of this paper, as we focus on practical rules that are to be applied before a drive is installed and taken into operation. V. C ASE E XAMPLE A case example is included in this paper in order to illustrate the use of the proposed method. The case example lends itself to one of the many inquiries of field engineers who investigate the possibility of occurrence of bearing damage-prone inverterinduced bearing currents. Given is an inverter-driven 200-kW four-pole squirrel-cage induction motor with a frame size of 315 mm. The field engineer has been offered electrically insulated bearings by the bearing manufacturer. Thus, he would like to investigate the possible use of this mitigation technique both with regard to necessity and adequacy. First, the grounding configuration of the rotor is determined. As the load is coupled to the drive via an insulated coupling, and no other grounding connections of the shaft can be identified, the possibility of occurrence of bearing currents due to rotor ground currents is excluded. Because of the frame size of the machine, EDM bearing currents are not likely to cause any bearing damage, but the endangerment of the bearings due to circulating bearing currents is investigated in more detail. The field engineer cannot measure the stator winding-toframe capacitance. However, the dv/dt of the line-to-ground voltage at the motor terminals is measured to be dvLg /dt = 1.7 kV/µs. The stator winding-to-frame capacitance is calculated from the motor frame size, where Cwf = [0.00024 · (315)2 − 0.039 · 315 + 2.2] nF = 13.7 nF according to (7). The machine is connected with short motor leads of less than 2 m, so that the motor cable is electrically short. Using these preliminary results, the HF ground current is estimated from (10), i.e., ig,max ≈ 1.5 · 1.7 · 13.7 A = 35 A. Using (3)–(5), the upper bound for the bearing current amplitude is determined as ib,max ≈ 14, 7, and 3.4 A with none, one, and two insulated bearings, respectively. The bearing manufacturer has supplied the calculated value of the Hertzian contact area AH = 17 mm2 from which the upper bound for the apparent bearing current density is calculated, i.e., Jb,max ≈ 0.82, 0.41, and 0.21 A/mm2 for the different choices of bearings, respectively. According to these calculations, the bearing current density is larger than Jb = 0.1 A/mm2 . However, these calculations give upper limits, and often the values are smaller by a factor of two. In addition, the switching frequency of the inverter is as low as 2 kHz. Thus, the field engineer decides to operate the drive with two electrically insulated bearings, MUETZE AND BINDER: PRACTICAL RULES FOR ASSESSMENT OF INVERTER-INDUCED BEARING CURRENTS anticipating that the set of parameters will not push the bearing load beyond the threshold to failure. VI. S UMMARY A flowchart that can serve as a tool to assess the endangerment of bearings due to inverter-induced bearing currents is proposed, where many parameters of a drive are unknown and complex modeling is not possible. The flowchart draws from numerous measurement results that have been obtained in the context of a research program for systematic investigation of inverter-induced bearing currents, identification of key parameters via analytical approaches, and results that have been published in the literature. First, the grounding configuration of the rotor is classified in order to determine whether bearing currents due to rotor ground currents can flow. Next, the size of the motor is considered, because this parameter largely determines whether EDM or circulating bearing currents can flow. This step is followed by an assessment of the amplitude of the circulating bearing current as a function of the HF ground current. A rule of thumb for the estimation of the HF ground current is also given. At the end, the chart summarizes the different mitigation techniques to prevent bearing damage due to inverter-induced bearing currents. The flowchart can be very useful when first discussing the bearing current phenomena and identifying if a given drive system, including the given operating conditions, falls into an area where bearing damage due to inverter-induced bearing currents can occur. In the future, drawing from the numerous results presented in the literature on other phenomena that are related to inverter operation, such as EMI and winding insulation failure, the flowchart can be extended to include assessment of these phenomena. 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Appl., vol. 41, no. 2, pp. 576–583, Mar./Apr. 2005. [35] J. R. Stack, T. G. Habetler, and R. G. Harley, “Fault-signature modelling and detection of inner-race bearing faults,” IEEE Trans. Ind. Appl., vol. 42, no. 1, pp. 61–68, Jan./Feb. 2006. [36] M. S. Ballal, Z. J. Khan, H. M. Suryawanshi, and R. L. Sonolikar, “Adaptive neural fuzzy inference system for the detection of inter-turn insulation and bearing wear faults in induction motor,” IEEE Trans. Ind. Electron., vol. 54, no. 1, pp. 250–258, Feb. 2007. 1622 Annette Muetze (S’03–M’04) received the Dipl.-Ing. (diploma) degree in electrical engineering from Darmstadt University of Technology, Darmstadt, Germany, the diploma in general engineering from Ecole Centrale de Lyon, Lyon, France, in 1999, and the Dr. Tech. (Ph.D.) degree in electrical engineering from Darmstadt University of Technology in 2004 (under the supervision of Prof. A. Binder). From 2004 to 2006, she was an Assistant Professor in the Department of Electrical and Computer Engineering, University of Wisconsin, Madison. Since January 2007, she has been a Lecturer in the School of Engineering, University of Warwick, Coventry, U.K. Prof. Muetze was the recipient of the FAG Innovation Award 2004 for her work on inverter-induced bearing currents and a National Science Foundation CAREER Award in 2005. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 3, JUNE 2007 Andreas Binder (M’97–SM’04) received the Dipl.-Ing. (diploma) and Dr. Tech. (Ph.D.) degrees in electrical engineering from the University of Technology, Vienna, Austria, in 1981 and 1988, respectively. From 1981 to 1983, he was with ELIN-Union AG, Vienna, where he worked on the design of synchronous generators. From 1983 to 1989, he was with the Department of Electrical Machines and Drives, Technical University, Vienna. After this, he joined Siemens AG, first in Bad Neustadt, Germany, then in Erlangen, Germany. His main tasks included the development of dc and inverter-fed ac drives. Since October 1997, he has been the Head of the Institute of Electrical Energy Conversion, Darmstadt University of Technology, Darmstadt, Germany, where he is also a Full Professor. Dr. Binder was the recipient of the Power Engineering Society (ETG) Literature Award in 1997.