Analysis and Control Aspects of Brushless Induction Machines with Rotating Power Electronic Converters Elforsk rapport: 12:67 Naveed ur Rehman Malik August 2012 Analysis and Control Aspects of Brushless Induction Machines with Rotating Power Electronic Converters Elforsk rapport: 12:67 Naveed ur Rehman Malik August 2012 ELFORSK Foreword In order to investigate a new innovative concept of a brushless double fed induction generator, the PhD-project V-308 was started within the research program Vindorsk. The work is carried by the PhD student Naveed ur Rehman Malik under the supervision of Professor Chandur Sadarangani at the Royal Institute of Technology, KTH. This report describes the main results of the project as a summary in complement to the Licentiate thesis. Vindforsk – III is funded by ABB, Arise windpower, AQSystem, E.ON Elnät, E.ON Vind Sverige, EnergiNorge, Falkenberg Energi, Fortum, Fred. Olsen Renewables, Gothia wind, Göteborg Energi, Jämtkraft, Karlstads Energi, Luleå Energi, Mälarenergi, O2 Vindkompaniet, Rabbalshede Kraft, Skellefteå Kraft, Statkraft, Stena Renewable, Svenska Kraftnät, Tekniska Verken i Linköping, Triventus, Wallenstam, Varberg Energi, Vattenfall Vindkraft, Vestas Northern Europe, Öresundskraft and the Swedish Energy Agency. Comments on the work have been given by a reference group with the following members: Robert Chin, Luca Peretti and Jouko Niiranen at ABB and Ramasamy Anbarasu at Vestas Stockholm, November 2012 Anders Björck Programme manager Vindforsk-III Electricity and heat production, Elforsk AB ELFORSK ELFORSK Sammanfattning Denna rapport presenterar målet med projekt “V308” och redogör för resultatet som har uppnåtts i projektet. Målet med studien är att undersöka en innovativ topologi av en borstlös dubbelmattad induktionsgenerator som minskar underhållskostnaderna och förbättrar tillförlitligheten hos generatorn. För att åstadkomma detta, har en variant av en borstlös dubbelmattad induktionsgenerator undersökts där släpringarna och kolborstarna har ersatts med en roterande kraftelektronisk strömriktare och en roterande matare. Stationära och dynamiska modeller för den roterande kraftelektroniska generatorn tillsammans med en återkopplad reglering har utvecklats och tillämpats. Genom tillämpning av dessa modeller har det påvisats att generatorn arbetar stabilt i både under – och översynkron tillstånddrift. Vidare, är det påvisat att den roterande mataren tillsammans med den kraftelektroniska strömriktaren är kapabel att mata reaktiv effekt till nätet genom rotorlindningen och därmed kan förbättra effektfaktorn på generatorn. Möjligheten att uppnå effektfaktor = 1 är också demonstrerad. Vidare, har det påvisats att eftersläpningseffekten med konceptet kan återvinnas och återmatas till nätet via generatorns stator. Vidare, har generatorns beteende för både symmetriska och osymmetriska felfall på nätet undersökts. Det har påvisats att genom att använda ”Passive Resistive Network” - metoden har generatorn kapacitet att motstå stora spänningsdippar. Vidare, visas att det genom att använda en så kallad ”Extended Vector Control”-reglering så erhålls en stabil drift även vid osymmetriska felfall. Med denna reglering reduceras pendlingar i effekt, ström, moment och DC-spänning kraftigt. Utöver de ovan nämnda studierna, har en stationär modell utvecklats och funktionaliteten studerats för en enkel-matad asynkronmaskin där den roterande mataren är borttagen och rotorlindningarna kortslutna genom de två roterande strömriktarna. Genom denna konstruktion kan eftersläpningseffekten cirkulera i rotorlindningen och med hjälp av de två roterande kraftelektroniska strömriktarna kan rotorströmmen användas för att magnetisera asynkronmaskinen. Därmed kan en önskad effektfaktor uppnås mot nätet. Beräkningen med den stationära modellen har verifierats genom mätningar. En asynkronmotor som arbetar med effektfaktor = 1 är önskvärt eftersom den reducerar kopparförlusterna i både transmissions och distributions linjer, samt förbättrar systemets verkningsgrad och spänningsstabiliteten på nätet. ELFORSK Summary This report presents the aims of the project “V308” and describes the results which have been obtained. The purpose of the study is to investigate an innovative topology of brushless doubly-fed induction generator in order to reduce maintenance costs and improve the reliability of the generator. In order to do so, a Brushless Doubly-Fed Induction Generator is considered in which the slip rings and carbon brushes are replaced by power electronic converters and a rotating exciter. The steady-state and dynamic model of the Rotating Power Electronic Generator together with its closed-loop control is developed and implemented. Through these models, it is demonstrated that the generator shows stable behavior in both the sub-synchronous and supersynchronous modes of operation. Moreover it is shown that the rotating exciter together with the power electronic converters is capable of injecting reactive power from the rotor thereby improving the power factor of the generator. The capability of obtaining unity power factor operation is also illustrated. Additionally it is demonstrated that the slip power recovery scheme through mechanical means is successful and hence requirement of slip rings and carbon brushes is not necessary. The slip power is recovered via the stator of the RPE-BDFIG hence increasing the efficiency of the generator. Additionally impact of the generator is investigated under symmetrical and unsymmetrical grid faults. It is shown that through the use of a Passive Resistive Network, the generator has the capacity of withstanding deep voltage dips. Moreover it is shown that through the use of Extended Vector Control the generator shows stable behavior and oscillations in the mechanical and electrical components of the generator such as power, current, torque and DC-link capacitor are reduced to a considerable extent as compared to when Extended Vector Control is not used during unsymmetrical conditions. In addition to the above studies a steady-state model of a single-fed induction machine is also developed and investigated where the rotating exciter is removed and the rotor windings are short-circuited through the two rotating power electronic converters. In this way slip power circulates in the rotor and with the help of the two rotating electronic converters, rotor current is used to magnetize the induction machine thereby improving the power factor. The steady state model is verified through experimental results. Operation of an induction machine at unity power factor is a desirable property as it reduces copper losses in the transmission and distribution network, improves the system efficiency and strengthens the voltage stability of the grid. ELFORSK Innehåll Abbreviations 1 1 Introduction 2 2 Modeling and Results 1.1 1.2 2.1 2.2 2.3 2.4 Types of Generator Topologies .......................................................... 2 Aims of the Project .......................................................................... 5 6 Configuration of the Rotating Power Electronic Doubly-Fed Induction Generator ...................................................................................... 6 Results .......................................................................................... 8 Low Voltage Ride Through (LVRT) ...................................................... 9 Rotating Power Electronic Induction Drive using Lindmark Concept ....... 14 3 Conclusions 15 4 Publications 16 ELFORSK Abbreviations BDFIG Brushless Doubly-Fed Induction Generator DFIG Doubly-Fed Induction Generator EVC Extended Vector Control LVRT Low Voltage Ride Through PRN Passive Resistive Network PLL Phase Locked Loop RPE-BDFIG Rotating Power Electronic Brushless Doubly-Fed Induction Generator 1 ELFORSK 1 Introduction In the wind industry different types of generators are in use for producing electrical power. Traditionally generators were directly connected to the grid and hence operated at constant speed. For fixed speed generators efficiency of power conversion from the wind is low as speed of the generator should vary with the speed of the wind for maximum power extraction. With continuous progress in power electronic converters for high power range, variable speed drives were employed in the wind industry. As a result trend shifted towards using variable speed drives and use of such drives increased rapidly in the last decade. 1.1 Types of Generator Topologies In the arena of variable wind generators, there are different types of variable speed wind generators which have been in use. One of the configurations of the generator uses full scale converters in which the converter is connected between the stator of the generator and the grid. In this type of configuration, full power of the generator flows through the converter and hence the converter is rated for full power rating of the generator as shown in Figure 1-1. However since the speed change required for extracting power from the wind is limited therefore use of full scale converter topology is not cost effective. Figure 1-1: Generator with full scale converter. 2 ELFORSK Figure 1-2: Vestas wind turbine V80 uses Doubly-Fed Induction Generator (DFIG). Figure 1-3: Doubly-Fed Induction Generator (DFIG). In order to reduce the size of the power electronic converter, an alternative topology known as Doubly-Fed Induction Generator (DFIG) is widely used and is one of the most famous topologies in the wind industry. Figure 1-2 shows Vestas V80 wind turbine which employs DFIG. In this topology one of the power electronic converters is connected to the rotor of the induction generator and second to the grid while stator is directly connected to the grid as shown in Figure 1-3. It is a known fact that in an induction generator, active power in the rotor varies with the deviation in rotor speed with respect to stator flux speed. As a result, since the deviation 3 ELFORSK of rotor speed from its synchronous speed is limited (commonly denoted by normalized quantity “slip (s)”), therefore the active power in rotor is also limited and varies in proportion with “slip (s)”. This implies reduction in power rating of the converter which needs to be around 30% of the power rating of the machine for speed ranges between ±25%. This is a huge advantage in terms of cost savings and hence has lead to commercial success of the Doubly-Fed Induction Generator (DFIG). However, DFIG’s also suffer from many disadvantages. One of the main disadvantages is that these generators employ slip-rings and carbon brushes in order to extract active power from the rotating part of the machine and deliver it to the stationary grid. It is a well-known fact that carbon brushes wear out with passage of time and also produce carbon dust during their operation which affects the insulation of the windings and hence reduces the lifetime of the generator. Moreover carbon brushes are sensitive to the air temperature, humidity and thermal heating due to handling of large magnitudes of rotor currents. Due to aforementioned reasons, carbon brushes need to be replaced after every few months. This implies that the maintenance costs and down time of the generator increases. In addition maintenance of offshore wind turbines is tedious and difficult since inspection and maintenance is dependent upon weather conditions as turbineunits are not accessible during certain time periods of the year. Therefore it is of vital importance that the doubly-fed generators are designed in a manner so as to recover slip power utilizing more reliable means than carbon brushes and slip rings. Therefore, a DFIG without carbon brushes and slip rings will be a huge advantage in terms of cost savings and better reliability and robustness. Figure 1-4: Conventional cascade Brushless Doubly-Fed Induction Generator (BDFIG). In the past, several authors have studied and developed doubly-fed machines without slip rings and carbon brushes. One of the well-known topology is the Brushless Doubly-Fed Induction Generator (BDFIG). These types of generators are very useful in a sense that they have provision of recovering slip power without using slip rings and carbon brushes. These machines 4 ELFORSK employ an extra machine called as auxiliary machine. The rotor of the auxiliary machine is coupled electrically and mechanically to the rotor of the main machine (DFIG) as shown in the Figure 1-4. The stator of the auxiliary machine is connected to the grid via the two power electronic converters. The slip power is recovered from the rotor of the DFIG via the auxiliary machine using the induction principle. Despite the fact that this type of generator is capable of recovering slip power in a brushless manner, it has not been able to achieve commercial success as was expected due to several reasons: • One of the primary reasons has been that it employs two induction machines and therefore suffers from low power density. • Losses of the generator are high since it utilizes two induction machines carrying three phase AC currents in its four windings. • Moreover due to induction nature of the generator, it suffers from low power factor. 1.2 Aims of the Project Due to aforementioned reasons an alternate topology of the brushless configuration is being studied and analyzed in this project where the second induction machine (auxiliary machine) in the Brushless Doubly-Fed Induction Generator (BDFIG) is replaced by a synchronous machine and power electronic converters are moved from the stator of the auxiliary machine to in between the rotors of the two machines as shown in Figure 2-1 in the following chapter. It is expected that by doing so better power factor control over a wide range with lower power rating of the power electronic converter and smaller generator size can be achieved. Moreover it is expected that the newer configuration will result in higher power density than the conventional Brushless Doubly-Fed Induction Generator (BDFIG). The details and analysis on different aspects of the new configuration is given in the subsequent chapter. 5 ELFORSK 2 Modeling and Results 2.1 Configuration of the Rotating Power Electronic DoublyFed Induction Generator Basic working principle of operation of the Rotating Power Electronic Brushless Doubly-Fed Induction Generator (RPE-BDFIG) is based on the same principle as that of the conventional slip-ring Doubly-Fed Induction Generator (DFIG) but without the use of carbon brushes and slip rings i.e. means of recovering slip power is brushless in nature. The Rotating Power Electronic Brushless Doubly-Fed Induction Generator (RPE-BDFIG) consists of two machines as shown in Figure 2-1; one is the main machine which is a wound rotor induction machine (also referred to as Doubly-Fed Induction Generator (DFIG)) and the other machine is the exciter which is modeled as a synchronous machine. The two machines are coupled mechanically and therefore rotate with the same speed. The rotor windings of the two machines are connected with each other via two power electronic converters. Therefore the frequency and magnitude of the currents and the voltages are different in the two rotors. In addition mechanical means are employed to recover slip power which is then added to the main shaft. The mechanical power which is added/subtracted to/from the shaft contributes again for generating electrical power and the process continues in a cyclic manner as shown in Figure 2-2 and Figure 2-3. This implies that the input turbine mechanical power produces electrical power which is delivered to the grid and the slip power which is compensated by the exciter in a cyclic fashion either by generating mechanical or electrical power which ultimately is delivered to the grid in the form of electrical power. The fact that the mechanical power supplied by the turbine is equal to the generated power delivered to the grid (for a lossless generator) implies that slip power recovery scheme is successful. Figure 2-1: Rotating Power Electronic Brushless Doubly-Fed Induction Generator (RPEBDFIG). 6 ELFORSK As far as configuration of the RPE-BDFIG is concerned, the stator of the IM is directly connected to the grid while its rotor is connected to one of the power electronic converters, see Figure 2-1. The second power electronic converter is connected to the three phase rotor windings of the exciter. The exciter operates in an inverted configuration with the three phase winding on the rotor and the DC winding on the stator. Slip power from the rotor of the induction machine is fed to the rotor of the exciter through the two power electronic converters. Therefore for a ±25% speed range around synchronous speed, rotor of the exciter carries high frequency currents while rotor of the IM operates at a lower frequency. Conversion in frequency and magnitude of the currents and the voltages between the two rotors is performed by the two power electronic converters. Wireless means are to be used for switching of the power electronic converters. The RPE-BDFIG also operates in two modes of operation similar to conventional BDFIG and slip-ring DFIG. The two modes of operation are explained below. Super-synchronous Mode Super-synchronous mode is the normal mode of operation for a generator where the rotational shaft speed is greater than the synchronous speed. The synchronous speed of the RPE-BDFIG is decided by the grid frequency. In this mode of operation power leaves the generator from both the stator as well the rotor terminals as shown in Figure 2-2. Slip power leaves the rotor of the main machine and enters the rotating exciter through the two power electronic converters. In this mode, exciter operates as a motor and adds torque to the common shaft of the generator. As a result electromechanical torque generated by the main machine is the sum of the torques supplied by the wind turbine and the exciter. Figure 2-2: Power flow in super-synchronous mode. 7 ELFORSK Figure 2-3: Power flow in sub-synchronous mode. Sub-synchronous Mode In sub-synchronous mode, power enters the rotor of the induction generator from the exciter via the rotor power electronic converters. Therefore the exciter operates as a generator extracting the torque from the shaft and producing electrical power which is equivalent to slip power as shown in Figure 2-3. The net electromagnetic torque generated is the difference between the turbine and the exciter torque. A complete analysis of the steady state model of the generator is given in Publication I while the dynamic model, equivalent circuit of the RPE-BDFIG and its control aspects are dealt within Publication II. The feed-back control for the RPE-BDFIG is implemented using vector control. The dq reference frame is aligned using grid flux orientation. The stator of the RPE-BDFIG is synchronized with the grid using Phase Locked Loop (PLL) estimator. A total of four controllers are used; two current controllers, one speed controller and one voltage controller as explained in detail in Publication II. 2.2 Results Some of the results are presented here for completeness of the report. Figure 2-4 shows that generated output electrical power is equal to the input mechanical power minus the losses. This proves that the slip power in the rotor is successfully recovered via the stator of the RPE-BDFIG. Moreover Figure 2-5 (left) shows that the generator is operating at unity power factor. This shows that the exciter is capable of not only handling active power of the generator but also reactive power in such a way that the rotor takes over the reactive power requirements of the generator. This is a noteworthy 8 ELFORSK observation as unity and capacitive power factor operation implies better voltage stability of the grid and lower transmission losses. Besides Figure 2-5 (right) shows that the voltage of the rotating capacitor reaches steady state after being subjected to transients due to changes in turbine power. The analysis in Figure 2-4 and Figure 2-5 shows that the RPE-BDFIG reestablishes steady-state point of operation after being subjected to mechanical transients such as changes in torque and mechanical speed. Furthermore, it is shown that this generator has stable modes of operation at different speeds such as above and below the synchronous speed. Figure 2-4: Input power supplied by the turbine (left) and the generated electrical power delivered to the grid (right). Figure 2-5: Stator Power Factor (left) and the rotating capacitor voltage (right). 2.3 Low Voltage Ride Through (LVRT) Impact of symmetrical voltage dips and unsymmetrical voltage dips on the RPE-BDFIG is investigated in Publication III and Publication IV respectively. It is a known fact that Doubly-Fed Induction Generators are quite sensitive to voltage dips in the grid. Moreover protective measures are required to save the converter from damage due to over currents during these voltage dips. In addition, in the case of unsymmetrical faults, stator of the generator experiences voltages with different magnitudes and phase angle 9 ELFORSK jumps in different phases. The unbalance in the generator stator voltages results in an extra heating of the generator windings due to negative sequence currents and an increase in the iron losses due to higher frequencies of these currents. Moreover oscillations in power, currents, torque and capacitor voltage results in a reduction in the lifetime of the electrical and mechanical components connected to the generator such as gearbox, generator shaft, and the DC-link capacitor. Therefore it is of immense importance that the impact of the voltage dips is handled in a suitable manner. Passive Resistive Network (PRN) technique was employed for successful ride through of the generator during symmetrical voltage dips while Extended Vector Control (EVC) method was used for ride through of the generator during unsymmetrical voltage dips. The analysis has been performed for various voltage dips occurring due to the symmetrical and unsymmetrical faults in the network. German grid code standards (E.ON) as shown in Figure 2-6 were used for specifying the voltage dips as they are one of the most stringent grid codes. For the case of symmetrical voltage dips, the analysis was done up till 15% of the remaining nominal voltage (i.e. voltage dip of 85%) which was applied for 325 msec as specified by the E.ON grid code standards. Similarly for unsymmetrical voltage dips, the analysis has been performed for various magnitudes of the voltage dips including 85% voltage dips. In the case of unsymmetrical voltage dips, the analysis of the generator was done for a single-phase-to ground fault and phase-phase fault and it is seen that the generator is capable of successfully riding through these faults. In both cases the dip was modeled as a rectangular waveform which represents a worst case scenario. The limit curve for the magnitude and the corresponding duration of the voltage dip as illustrated in the E.ON grid code standard is depicted in Figure 2-6. In region I wind turbines are not allowed to be disconnected and should provide reactive current (at a rate of 2% of the rated current for each percent of the voltage dip) if the voltage drops below 90% of the nominal value at the generator terminals. In region II wind turbine units are allowed temporary disconnection from the grid and should re-synchronize again within 2 seconds after the fault clearance. In region III, wind turbine units are allowed to be disconnected from the grid. 10 ELFORSK Figure 2-6: E.ON grid code standard. Results for symmetrical voltage dips Figure 2-7 (left) to Figure 2-10 (left) shows the behaviour of the generator when it is subjected to 60% voltage dip without LVRT protection while Figure 2-7 (right) to Figure 2-10 (right) shows the behaviour when PRN is used as a LVRT measure and it is seen that through PRN, the generator is successfully able to ride through the fault without any damage to the converter and the exciter as the rotor powers are within limits. Moreover rotor speed is also under control. Figure 2-7: Exciter rotor power without the LVRT technique (left) and exciter rotor power with the LVRT technique (right) during 60% voltage dip. 11 ELFORSK Figure 2-8: DFIG rotor power without the LVRT technique (left) and DFIG rotor power with the LVRT technique (right) during 60% voltage dip. Figure 2-9: Capacitor rotor voltage without the LVRT technique (left) and with the LVRT technique (right) during 60% voltage dip. Figure 2-10: Rotor speed without the LVRT technique (left) and with the LVRT technique (right) during 60% voltage dip. Results for unsymmetrical voltage dips Figure 2-11 (left) to Figure 2-13 (left) shows the behaviour of the generator when it is subjected to 50% voltage dip during single-phase unsymmetrical voltage dips without EVC strategy while Figure 2-11 (right) to Figure 2-13 (right) shows the behaviour when EVC strategy is used. It is seen that 12 ELFORSK through the use of EVC control, the generator shows stable behaviour and the oscillations in power, torque and DC-link capacitor are reduced to a considerable extent. Figure 2-11: Torque of the generator during single-phase-to-ground fault without EVC (left) and with EVC (right) during 50% voltage dip. Figure 2-12: Exciter rotor power during single-phase-to-ground fault without EVC (left) and with EVC (right) during 50% voltage dip. Figure 2-13: Rotating capacitor voltage during single-phase-to-ground fault without EVC (left) and with EVC (right) during 50% voltage dip. 13 ELFORSK 2.4 Rotating Power Electronic Induction Drive using Lindmark Concept This section presents the operation of a single-fed induction machine in which the power electronics in the rotor are used to magnetize the machine. This type of drive uses controllable capacitors through the two power electronic converters mounted on the rotor of the induction machine in order to inject reactive current from the rotor to the stator as shown in Figure 2-14. The stator of the machine is directly connected to the grid. Lindmark concept is used to attain unity power factor. In Lindmark concept, the voltage vector produced from the two rotating power electronic converters is injected to the rotor terminals in a manner so as to move the rotor current. Movement of the rotor current affects the stator current. Phase of the stator current with respect to the stator voltage is changed in a manner so as to improve the power factor of the machine. Using this technique a single-fed induction machine where the rotor takes over the magnetization of the machine and delivers the reactive power is demonstrated. Steady state model of the machine is also developed and is verified through experimental tests in Publication V. Interested reader is encouraged to refer to the two publications for further details and results. Figure 2-14: Configuration of the induction machine using Lindmark concept. 14 ELFORSK 3 Conclusions In this project a novel topology of brushless doubly-fed induction machine was introduced in which the slip rings and carbon brushes were replaced by power electronic converter and the exciter rotating with the rotor. During the project three main challenges were solved. One of them was that for the first time, a dynamic model for this generator was developed together with a feedback control. It was shown that the generator was successfully able to operate at stable points. Moreover it was shown that the rotating exciter magnetized the generator from the rotor thereby improving the stability of the grid. Secondly, a suitable low voltage ride through technique called Passive Resistive Network, was implemented for this type of generator and it was shown that this type of generator is successfully able to handle symmetrical voltage dips in the grid. Thirdly it was shown that Extended Vector Control, strategy works well for this type of generator and it was shown that the oscillations in different components of the generator was reduced to considerable extent during the unsymmetrical grid faults. Moreover the generator is capable of withstanding uptill 85% of symmetrical and unsymmetrical voltage dips thus fulfilling the requirements of the E.ON grid code standards. Due to aforementioned analysis, this new type of generator can become a competitive and cost effective solution for offshore wind farms with lower maintenance costs and enhanced reliability. It can be a step forward towards new generator design technologies. 15 ELFORSK 4 Publications The detailed analysis, working principle, modeling, control aspects and results of the project are given in the following publications. [Publication I]: Malik, Naveed ur Rehman; Sadarangani, C.; , “Brushless doubly-fed induction machine with rotating power electronic converter for wind power applications,” Electrical Machines and Systems (ICEMS), 2011 International Conference on , vol., no., pp.1-6, 20-23 Aug. 2011. [Publication II]: Malik, Naveed ur Rehman; Sadarangani, C.; , “Dynamic modeling and control of a brushless doubly-fed induction generator with a rotating power electronic converter,” accepted and to be published in ICEM 2012 being held in Marseille, France, September 2-5, 2012. [Publication III]: Malik, Naveed ur Rehman; Sadarangani, C.; , “Behavior of a brushless doubly-fed induction generator with a rotating power electronic converter during symmetrical voltage sags,” accepted and to be published in ICEM 2012 being held in Marseille, France, September 2-5, 2012. [Publication IV]: Malik, Naveed ur Rehman; Sadarangani, C.; , “Extended vector control of a rotating power electronic brushless doubly-fed induction generator under unsymmetrical voltage sags ,” accepted and to be published in IECON 2012, Annual Conference on IEEE Industrial Electronics Society being held in Montreal, Canada , October 25-28, 2012. [Publication V]: Malik, Naveed ur Rehman; Sadarangani, C.; Lindmark, M.; , “Theoretical and experimental investigation of the self-excited rotating power electronic induction machine,” IECON 2011 - 37th Annual Conference on IEEE Industrial Electronics Society , vol., no., pp.2048-2053, 7-10 Nov. 2011. [Publication VI]: Malik, Naveed ur Rehman; Sadarangani, C.; Cosic, A.; Lindmark, M., “Induction machine at unity power factor with rotating power electronic converter,” published in International Symposium on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM 2012), 20-22 June 2012. 16 ELFORSK 17