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Modeling and experimental  analysis of variable speed three phase squirrel 2
Modeling and experimental  analysis of variable speed three phase squirrel 2
Modeling and experimental  analysis of variable speed three phase squirrel 2
Modeling and experimental  analysis of variable speed three phase squirrel 2
Modeling and experimental  analysis of variable speed three phase squirrel 2
Modeling and experimental  analysis of variable speed three phase squirrel 2
Modeling and experimental  analysis of variable speed three phase squirrel 2
Modeling and experimental  analysis of variable speed three phase squirrel 2
Modeling and experimental  analysis of variable speed three phase squirrel 2
Modeling and experimental  analysis of variable speed three phase squirrel 2
Modeling and experimental  analysis of variable speed three phase squirrel 2
Modeling and experimental  analysis of variable speed three phase squirrel 2
Modeling and experimental  analysis of variable speed three phase squirrel 2
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Modeling and experimental analysis of variable speed three phase squirrel 2

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  • 1. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 128 MODELING AND EXPERIMENTAL ANALYSIS OF VARIABLE SPEED THREE PHASE SQUIRREL CAGE INDUCTION GENERATOR 1 Lalit Kumar, 2 Mrs. S. U. Kulkarni, 3 Mohit.K.Shakya, 4 Sachinkumar L.Sarwade 1 M.Tech Student, Electrical Engineering, BVUCOEP. 2 Asst.Prof. Electrical Engg. Bharti Vidyapeeth University College of engineering, Pune, India. 3 Asst.Prof., Electrical Engineering, KJCOEMR, Pune. 4 M.E. Student, Electrical Engg., PVGCOET, Pune. ABSTRACT Induction machines have wide applications in renewable power system and particularly in wind turbine power systems. In case of standalone wind power system applications, for generating single phase electricity single phase or three phase induction machines can be used. Three phase induction generator can be used to generate single phase electricity at constant or above synchronous speed by using the two-series-connected-and-one isolated (TSCAOI) winding connection without an intermediate stage. In contrast with single-phase cage induction machines, three phase induction machines are significantly less expensive, more efficient, and smaller in frame size in comparison with their single-phase counterpart of similar power ratings. This paper introduces a novel cage induction generator and presents a mathematical model, through which its behavior can be accurately predicted. The proposed generator system employs a three-phase cage induction machine and generates single-phase, constant- frequency electricity at varying rotor speeds without an intermediate inverter stage. The technique uses any one of the three stator phases of the machine as the excitation winding and the remaining two phases, which are connected in series, as the power winding. The two- series-connected-and-one isolated (TSCAOI) phase winding configuration magnetically decouples the two sets of windings, enabling independent control. Electricity is generated through the power winding at both sub and super-synchronous speeds with appropriate excitation to the isolated single winding at any frequency of generation. An Experimental analysis and dynamic mathematical model, which accurately predicts the behavior of the proposed generator. INTERNATIONAL JOURNAL OF ELECTRICAL ENGINEERING & TECHNOLOGY (IJEET) ISSN 0976 – 6545(Print) ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), pp. 128-140 © IAEME: www.iaeme.com/ijeet.asp Journal Impact Factor (2013): 5.5028 (Calculated by GISI) www.jifactor.com IJEET © I A E M E
  • 2. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 129 Keywords: Induction Generator in TSCAOI Configuration, Renewable Power System, Mathematical Model. I. INTRODUCTION The use of renewable energy as an alternative to low cost fossil energy, which was in abundance, has never been considered as an economically viable option in the past. However, the excessive, unnecessary, and inefficient use of fossil energy has now become a global concern, owing to rapidly decreasing fossil resources, rising fuel prices, increasing demand for energy, and, more importantly, the awareness of global warming and environmental impact. Consequently, it has now become a common practice of governing bodies to place more emphasis on energy saving, harnessing renewable energy, and particularly on energy management through efficient generation, conversion, transmission, and distribution. This initiative incited a new area of active research and development within both academia and industry under the context of “green or clean or renewable” energy. Nuclear energy has several advantages over coal in that no carbon dioxide or sulfur dioxide are produced, mining operations are smaller scale, and it has no other major use besides supplying heat. The major difficulty is the problem of waste disposal, which, because of the fears of many, will probably never have a truly satisfying solution. Because of these problems, along with the rising energy demand in the 21st century and the growing recognition of global warming and environmental pollution, energy supply has become an integral and cross cutting element of every countries economy. In recent years, more and more countries have polarized sustainable, renewable and clean energy sources such as wind power and other forms of solar power are being strongly encouraged. Wind power may become a major source of energy in spite of slightly higher costs than coal or nuclear power because of the basically non-economic or political problems of coal and nuclear power. This is not to say that wind power will always be more expensive than coal or nuclear power, because considerable progress is being made in making wind power less expensive. But even without a clear cost advantage, wind power may become truly important in the world energy picture. Wind power has now established itself as a mainstream electricity generation source, and plays a central role in an increasing number of countries’ immediate and longer term energy plans. After 15 years of average cumulative growth rates of about 28%, the commercial wind power installations in about 80 countries at the end of last year totaled about 240 GW, having increased by more than 40 times over that same period. Twenty two countries have more than 1,000 MW installed. The following figure shows the 1999 WIND FORCE 10 blueprint and actual development globally [1]. Fig 1: Total Wind Capacity Installed in India
  • 3. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 130 There are various techniques for conversion of mechanical energy into electrical energy. Typically, small renewable energy power plants rely mostly on induction machines, because they are widely and commercially available and very inexpensive. Induction generators are useful in applications such as mini hydro power plants, wind turbines, or in reducing high-pressure gas streams to lower pressure, because they can recover energy with relatively simple controls. It is also very easy to operate them in parallel with large power systems, because the utility grid controls voltage and frequency while static and reactive compensating capacitors can be used for correction of the power factor and harmonic reduction. Although the induction generator is mostly suitable for hydro and wind power plants, it can be efficiently used with prime movers driven by diesel, biogas, natural gas, gasoline and alcohol motors. Induction generators have outstanding operation as either motor or generator; they have very robust construction features, providing natural protection against short-circuits, and have the lowest cost with respect to other generators. Abrupt speed changes due to load or primary source changes, as usually expected in small power plants, are easily absorbed by its solid rotor, and any current surge is damped by the magnetization path of its iron core without fear of demagnetization, as opposed to permanent magnet based generators. The induction generator has the very same construction as the induction motors with some possible improvements in efficiency. Fig.2.Typical induction generator systems used in wind turbines Of the schemes illustrated in Fig. 2, fixed-speed cage three phase induction generators are well known for their simplicity and low cost and operated at constant rotor speed to generate electricity at constant frequency for both direct grid integration and standalone operation. Usually, they are excited through a bank of capacitors and are incapable of tracking maximum power that is available from the wind turbine when operated at constant speed. Therefore, in order to extract maximum energy under varying wind speed conditions, an intermediate power conversion stage, comprising an alternating-current (ac)/direct-current (dc) and dc/ac back-to-back converter configuration, is employed between the generator and the grid or the load [2]–[4]. The intermediate stage allows for the variable-speed operation of the generator, but it essentially requires to be rated for the same or a fraction (in the case of doubly fed induction generators) of the power level of the generator itself. Thus, such an intermediate stage is often found to be economically unjustifiable for some applications, particularly at micro power levels. Induction generators have been also employed to generate single-phase electricity, particularly for standalone or residential use [5]. In [6] and [7], a self-excited and self regulated single-phase induction generator has been reported for the generation of single- phase electricity. In contrast, the analysis of the self-excitation of a dual-winding induction generator has been presented in [8]. This paper, which uses a single-phase cage induction machine with an auxiliary winding, has been extended by connecting an inverter to the auxiliary winding to achieve more flexibility in power control. The experimental performance
  • 4. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 131 is investigated under varying operating conditions and it indicate that the machine can be operated both at sub- and super-synchronousrotor speeds to generate electricity at constant frequency. II. INDUCTION GENERATOR IN TSCAOI CONFIGURATION Induction generators have been also employed to generate single-phase electricity, particularly for standalone or residential use .A self-excited and self regulated single-phase induction generator has been reported for the generation ofsingle-phase electricity. In [9], a novel method for self-regulated single phase induction generator by using an ac adjustable capacitor is introduced. All these reported schemes employed a single-phase induction generator and an auxiliary winding in some cases or a three phase induction generator to generate single-phase electricity at constant or above synchronous speed. In contrast with single-phase cage induction machines, three phase cage induction machines are less expensive and small in size for a similar power rating. As, explained in [10] three-phase cage induction machine can be used as a single-phase generator under both sub- and super- synchronous variable-speed conditions without an intermediate inverter stage. The technique uses one of the three windings in isolation for excitation and the remaining two, which are connected in series, as the power winding for the single-phase electricity generation. The three-phase cage induction machine is mathematically modeled in the proposed two-series connected- and-one-isolated (TSCAOI) phase winding configuration. The proposed technique allows for both energy storage and retrieval through the excitation winding and is expected to gain popularity, particularly in small-scale applications, being relatively simple and low in cost. The following figure shows the proposed induction generator in the TSCAOI configuration. Fig 3.Proposed Induction Generator in the TSCAOI Configuration Cage induction machines are undoubtedly the workhorse of the industry and can be still regarded as the main competitor to permanent-magnet machines. This is because they are self starting, rugged, reliable, and efficient and offer a long trouble free working life. Of these cage induction machines, three phase machines are significantly less expensive, more efficient, and smaller in frame size in comparison with their single-phase counterpart of similar power ratings. Consequently, three-phase cage induction motors are economically
  • 5. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 132 more appealing and have thus become the preferred choice for numerous applications, even at derated power levels. The proposed novel technique uses a three phase cage induction machine, exploiting its economical advantage, to generate single-phase electricity at variable rotor speeds without an intermediate inverter stage. The technique configures the three stator windings of the three-phase cage induction machine in a novel way to create separate or rather decoupled excitation and power windings. In this configuration, any one of the three phase windings is solely used in isolation for excitation, whereas the remaining two are connected in series to generate power at a desired frequency while the rotor is driven at any given speed. Alternatively, the machine can be also configured in such a way that the two series-connected windings provide the excitation while the single winding generates. As mathematically shown, the TSCAOI winding configuration magnetically decouples both excitation and power windings from each other and thus allows for independent control as in the case of a single-phase induction motor with an auxiliary winding. In the proposed technique, excitation for the generator is provided through the single winding to study the voltage build up process at no load and at load. III. MATHEMATICAL MODEL While doing mathematical modeling, certain assumptions are made, they are as follows: 1. Uniform air gap. 2. Balanced rotor and stator windings with sinusoidally distributed mmf. 3. Inductance vs. rotor position is sinusoidal & 4. Saturation and parameter changes are neglected. Fig. 4 shows the stator and rotor with respect to αβ frame. The first step in the mathematical modeling of an induction machine is by describing it as coupled stator and rotor three-phase circuits using phase variables, namely stator currents ias, ibs, ics and rotor currents iar, ibr, icr ; in addition to the rotor speed ωr and the angular displacement φr between stator and rotor windings. Fig 4.Stator and Rotor with respect to αβ frame The electrical parameters of machine are expressed in terms of a resistance matrix R [3x3] and an inductance matrix L [3x3] in which the magnetic mutual coupling elements are functions of position r. So that, for instance, the current vector is I = [ias ibs ics iar ibr icr]t , representing stator and rotor currents expressed in their respective stator and rotor frames.
  • 6. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 133 Variables: V= [vas vbs vcs 0 0 0]t …………………………...(1) I= [ias ibs ics iar ibr icr]t …………………………..(2) Whereas, vas= Vs*sin(ωt), vb s= Vs*sin(ωt+ ଶగ ଷ ), vcs=Vs*sin(ωt- ଶగ ଷ ) Vs= peak voltage ω= 2πf, is the phase angle in radians t is the time in seconds f = frequency in cycles per second (Hz) & t=Transpose of the matrix Matrix analysis of Induction Machine The transformation matrix for conversion of abc frame stator and rotor quantities into ‘eo’ and ‘αβ’ frames respectively are given as follows, ………………………………….. (3) ……………………... (4) The voltage equation for 3-phase induction machine in abc frame, is represented as following, [vs,abc] =[Rs][is,abc] + p {[Ls][is,abc]} + p {[Lsr][ir,abc]}……………………………..(5) [vr,abc] =[Rr][ir,abc] + p [Lsr]T [is,abc] + p {[Lr][ir,abc]}……………………………..(6)
  • 7. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 134 For, squirrel cage induction generator the rotor voltage is zero as the rotor is short circuited. As per the requirement of the TSCAOI configuration, the voltage and currents of the stator and rotor have to be transformed into the ‘eo’ frame and ‘αβ’ frame respectively. This can be done using the transformation matrices Q and Kr for stator and rotor respectively. [vseo]T = [Q][vsabc] …………………………………………..(7) [vr αβ]=[Kr][vrabc] …………………..…………………….....(8) So, after substituting the values of (3), (4), (5)and also (6), in equations (7) and (8), we will get the following equations, [vs,eo] =[Q][Rs][Q]−1 [is,eo] + [Q]p{[Ls][Q]−1 [is,eo]} + [Q]p{[Lsr][Kr]−1 [ir,αβ]} ………………(9) [vr,αβ] =[Kr][Rr][Kr]−1[ir,αβ] + [Kr]p {[Lsr]T [Q]−1 [is,eo]} + [Kr]p {[Lr][Kr]−1[ir,αβ]……….(10) After lengthy manipulations and substitutions we will get the following equations, ... (11) ……………. (12) Where, ωris the rotor speed in electrical radians per second. By observing above equation, we can say that the power winding and the excitation winding of the stator are totally decoupled. To complete the machine model, it is necessary to select state variables and derive the appropriate equations for integration. In this case, the elements of the machine current vector are chosen as the state variables. Equation (13) shows the state space model using the winding currents as the phase vector, as derived from (11) and (12), i.e., p[i]=[A][i]+[B][v] …………………………………… (13) Where, [i]= [iseisoirαirβ]t [v]= [vseo]=[vsevso]t
  • 8. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 135 LM= ଷ ଶ Lms Lss=Lls+ LM Lrr= Llr+ LM D=(LssLrr- LM 2 ) D1=LlsLrr+ ଶ ଷ LlrLM The electromagnetic torque of the machine can be derived from ..... (14) Where, P denotes the number of poles. Equation (14) in “abc” quantities is transformed into the “eo” and “αβ” frames and can be given by …. (15) Equation (15) represents the torque components due to both load and excitation currents. At the steady state, the torque given in (15) is equal to the turbine torque. The equation of the motion of the generator is given by ……… (16) Where, J (in kg · m2) is the inertia and Tp(in Nm) is the torque of the prime mover. The above mathematical model shows the conversion of three phase induction machine which can be used for the single phase power generation when the prime mover torque is given to rotate the rotor.
  • 9. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 136 IV. EXPERIMENTAL ANALYSIS Fig. 5. Experimental setup In order to demonstrate the practical viability of the proposed concept, a four-pole 3.7KW ,415V,7.3A cage induction machine in TSCAOI configuration was used. The experimental setup is shown in Fig. 5.1(a). The rotor of proposed 3.7KW induction generator was driven by another DC motor to emulate the variable wind conditions, to supply power to a standalone and electronic load at constant voltage at 50 Hz under varying rotor speeds. A experimental observation have taken on different capacitor (25-µF, 50-µF, 75-µF, 105-µF), shown as C0 in Fig. 5, was employed to reduce the reactive-power requirement of the excitation source and to keep the magnitude of the excitation current below the rated value of the machine. (a) 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 1300 1400 1500 1600 1700 ExcitationCurrent(A) Rotor Speed (rpm) C=50µF,Vse=150V C=50µF,Vse=100V C=75µF,Vse=100V C=75µF,Vse=150V
  • 10. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 137 (b) (c) Fig.6. Rotor speed verses (a) Excitation current (b) Output voltage (c) Output power for different rotor speeds and different capacitor. Fig. 6 The graph between roter speed verses diffirent quantity is plotted as shown in Fig.6. It is observed from Fig.6 (a) that the excitation current is minimum for 50 µF capacitor connected across power winding. The variation of the output voltage versus the rotor speed is shown in Fig.6 (b). The impedance seen by the excitation source is complex in nature, being dependent on both the excitation frequency and the slip frequency. It appears from results that the variation of both the output voltage and current is largely governed by the rotor- speed. It is observed from above Fig. 6(a) and (c) that with increse in excitation voltage and value of the capacitance the output power and output voltage increses.But it is also observed 0.0 50.0 100.0 150.0 200.0 250.0 1300 1500 1700 OutputVoltage Rotor Speed(rpm) C=50µF,Vse=1 50V C=50µF,Vse=1 00V C=75µF,Vse=1 00V C=75µF,Vse=1 50V C=105µF,Vse= 100V 0.0 50.0 100.0 150.0 200.0 250.0 300.0 1300 1500 1700 OutputPower Rotor Speed(rpm) C=50µF,Vse=1 50V C=50µF,Vse=1 00V C=75µF,Vse=1 00V C=75µF,Vse=1 50V
  • 11. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 138 that before or after the perticular range of rotor speed the output power and output voltage decreases.At this speed the excitation current is minimum in each case of diffirent capacitor value.It is seen that at this speed with increse in capacitor value the excitation current increses but it is in safe limit of excitation current upto Co =105 µF. Fig. 7. Rotor speed verses Excitation power for different rotor speeds and different capacitor Fig.7 demonstrates the variation of the power of the excitation source for different rotor speeds for different value of capacitor. The positive power and the negative power indicate the power supplied and absorbed by the source, respectively. The rotor speed was simply increased or decreased by increasing or decreasing the torque setting of the prime mover of the proposed generator that is DC motor. It is seen that after adding the more value of capacitor the excitation power increases due to increase in the value of excitation current as shown in Fig.7. Fig.8 shows the relation between efficiency of the proposed generator verses output power. It is observed that with increase in output power efficiency is more around 1500rpm.The efficiency is less with increases in speed beyond 1600rpm.With increase in capacitance value output power is increases at same excitation voltage. It should be noted that the excitation voltage can never be as high so that the rated current should not be exceeded and the flux required to generate output voltage across the power winding is less. The performance of the proposed generator was evaluated by measuring the efficiency for a range of output and excitation power levels, as shown in Fig.8. A maximum efficiency of approximately 60% is observed. The above observations conclusively prove that the newly developed Induction generator has certain distinct qualities and advantages which promise to make it a success for consumer applications for remote application. The experimental investigation reported in this part of the project proves the technical viability of the use of induction generator in TSCAOI configuration to generate single phase power. -500.0 -400.0 -300.0 -200.0 -100.0 0.0 100.0 200.0 300.0 400.0 500.0 600.0 13001400150016001700 ExcitationPower(W) Rotor Speed (rpm) C=50µF,Vse=150V C=50µF,Vse=100V C=75µF,Vse=100V C=75µF,Vse=150V
  • 12. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 139 (a) (b) Fig.8 Output power verses efficiency of for different rotor speeds and different capacitor The above mentioned experimental results can be verified through approximate theoretical analysis. In the proposed TSCAOI configuration of the machine, the power can be generated through both the excitation and power windings, whereas the var requirement of the machine is met by the excitation winding, supplemented by a capacitor connected to the power winding. This is because the total var requirement of the three-phase machine can never be met by the single excitation winding without exceeding its rated current, even at zero excitation real power. 0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 80.0 90.0 0.0 100.0 200.0 300.0 %ηgenerator Outpu Power C=50µF,Vse=150V ,N=1500rpm C=50µF,Vse=150V ,N=1400rpm C=50µF,Vse=150V ,N=1600rpm C=50µF, Vse=150 V,N=1650rpm 0 10 20 30 40 50 60 70 80 90 100 0 100 200 300 %ηgenerator Output Power C=75µF, Vs e=150V,…
  • 13. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 3, May - June (2013), © IAEME 140 V. CONCLUSION The mathematical model of a three-phase induction generator in TSCAOI configuration are presented in a step-by-step manner. The above experimental verification is analyzed for different value of capacitor at different rotor speed. The above experimental analysis indicates that the proposed machine can be used to generate the power at sub or super synchronous speed at constant frequency at any excitation voltage. As, we have seen the experimental results, the novel cage three phase induction generator can be used for the single phase power generation. The proposed generator is easy to implement and low in cost and it is an ideal machine for small-scale renewable energy applications. The project conclusively proves that the new proposed machine described here is technically viable and commercially reliable due to its simplicity, ruggedness and maintenance free operation. The experiments conducted are detailed along with the corresponding results. Special tests to identify the parameters for analysis have been explained with typical results. The voltage drop from 264V to 220V at 420W output power at 1540 rpm for Co of 105µF show good performance of the proposed machine. REFERENCES 1. GLOBAL Wind Energy Outlook 2012, Global wind energy council- November 2012 2. R. C. Bansal, “Three phase self excited induction generators: Overview,” IEEE Trans. Energy Convers., vol. 20, no. 2, pp. 292– 299,Jun. 2005. 3. J.-C. Wu, “Novel circuit configuration for the compensation for the reactive power of induction generator,” IEEE Trans. Energy Convers., vol. 23,no. 1, pp. 156–162, Mar. 2008. 4. B. Singh, S. S. Murthy, and S. Gupta, “STATCOM based voltage regulatorfor self-excited induction generator feeding non-liner loads,” IEEE Trans 5. T. F. Chan and L. L. Lai, “Single phase operation of a three-phase induction generator using a novel line current injection method,” IEEE Trans Energy Convers., vol. 22, no. 3, pp. 798–799, Sep. 2007. 6. S. S. Murthy, “A novel self-excited self-regulated single phase induction generator—Part 1,” IEEE Trans. Energy Convers., vol. 8, no. 3, pp. 377–382, Sep. 1993. 7. L. Shridar, B. Singh, and S. S. Murthy, “Selection of capacitors for self regulated short shunt self excited induction generator,” IEEE Trans. Energy Convers., vol. 10, no. 1, pp. 10–17, Mar. 1995 8. O. Ojo and I. Bhat, “An analysis of single phase self excited inductiongenerators,” IEEE Trans. Energy Convers., vol. 10, no. 2, pp. 254–260,Jun. 1995 9. Self-Regulated Single-Phase Induction Generator, M. M. Ahmed and M.Y. Abdelfatah International Conference On Communication, Computer And Power (ICCCP'09) Muscat, February 15-18, 2009 10. U. K. Madawala, T. Geyer, J. Bradshaw, and D. M. Vilathgamuwa,“A model for a novel induction generator,” in Proc. IEEE IECON,Nov. 3–5, 2009, pp. 64–69. 11. Analysis Of An Isolated Self-Excited Induction Generator Driven By AVariable Speed Prime Mover, D. Seyoum, C. Grantham and F. Rahman School of Electrical Engineering and Telecommunications, The University of New South Wales 12. N. S. Wani and W. Z. Gandhare, “Voltage Recovery of Induction Generator using Indirect Torque Control Method”, International Journal of Electrical Engineering & Technology (IJEET), Volume 3, Issue 3, 2012, pp. 146 - 155, ISSN Print : 0976-6545, ISSN Online: 0976-6553. 13. Youssef A. Mobarak, “Svc, Statcom, and Transmission Line Rating Enhancments on Induction Generator Driven by Wind Turbine”, International Journal of Electrical Engineering & Technology (IJEET), Volume 3, Issue 1, 2012, pp. 326 - 343, ISSN Print : 0976-6545, ISSN Online: 0976-6553.

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