Abstract
Accurate calculation of circulating current is one of the key problems for stator transposition bars in the design of turbo-generators. Aimed at limitation that analytical algorithm of circulating current could not reflect the local electromagnetic field distribution and difficulty that overlaps easily exist in solid modeling process of stator transposition bars, a simplified physical model of transposition bars is established. A three-dimensional (3-D) numerical method for circulating current in stator transposition bars of large water-cooled turbo-generators is investigated, which is combined with field-circuit coupling method. Taking stator bars less than 540° transposition with void model of a 600-MW water-cooled turbo-generator as the research object, the magnetic flux density distribution, current density distribution and circulating current distribution of transposition strands are obtained by numerical calculation. Compared with calculation results of the improved analytical algorithm, the correctness of the numerical calculation for circulating current is demonstrated, the calculation value difference for the maximum current of strands is obtained. The numerical calculation for circulating current will provide an appropriate basis for the reasonable calculation of local overheating of stator transposition bars and the design of safety margin for turbo-generators.
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Wojda R P, Kazimierczuk M K. Analytical optimization of solidround-wire windings. IEEE Trans Ind Electr, 2013, 60: 1033–1041
Romary R, Demian C, Schlupp P, et al. Offline and online methods for stator core fault detection in large generators. IEEE Trans Ind Electr, 2013, 60: 4084–4092
Wrobel R, Mlot A, Mellor P H. Contribution of end-winding proximity losses to temperature variation in electromagnetic devices. IEEE Trans Ind Electr, 2012, 59: 848–857
Taniyama Y, Ueda T, Fujita M, et al. Technologies for high efficiency large capacity turbine generator. In: International Conference on Electrical Machines and Systems. Tokyo, JPN, 2009. 1–6
Fujita M, Kabata Y, Tokumasu T, et al. Air-cooled large turbine generator with multiple-pitched ventilation ducts. In: IEEE International Conference on Electric Machines and Drives. San Antonio, USA, 2005. 910–917
Nagakura K, Otaka T, Kakiuchi M, et al. Development of the world’s largest hydrogen indirectly cooled turbine generator. In: International Conference on Electrical Machines and Systems. Tokyo, JPN, 2009. 1–6
Reddy P B, Jahns T M, Bohn T P. Transposition effects on bundle proximity losses in high-speed PM machines. In: IEEE Energy Conversion Congress and Exposition. San Jose, USA, 2009. 1919–1926
Hattori K, Ide K, Takahashi K, et al. Performance assessment study of a 250MVA air-cooled turbo generator. In: International Electric Machines and Drives Conference. Madison, USA, 2003. 124–128
Traxler-Samek G, Zickermann R, Schwery A. Cooling airflow, losses, and temperatures in large air-cooled synchronous machines. IEEE Trans Ind Electr, 2013, 57: 172–180
Xiao H Q, Xu Z, Xue Y L, et al. Theoretical analysis of the harmonic characteristics of modular multilevel converters. Sci China Tech Sci, 2013, 56: 2762–2770
Zou J B, Zhao B, Xu Y X, et al. A new end windings transposition to reduce windings eddy losses for 2 MW direct drive multi-unit PMSM. IEEE Trans Magn, 2007, 48: 3323–3326
Schrefler B, Gori R. The effects of strand transposition on the stiffness matrix of superconductor core elements. IEEE Trans Magn, 1988, 24:1037–1040
Walters C R. Magnetization and design of multistrand superconducting conductors. IEEE Trans Magn, 1975, 11: 328–331
Haldemann J. Transpositions in stator bars of large turbogenerators. IEEE Trans Energy Convers, 2004, 19: 553–560
Fujita M, Kabata Y, Tokumasu T, et al. Circulating currents in stator coils of large turbine generators and loss reduction. IEEE Trans Ind Appl, 2009, 45: 685–692
Bernard B J, Brenner W C. Transpositions in turbogenerator coil sides short circuited at each end. IEEE Trans Power Appara Syst, 1970, PAS-89: 1915–1921
Yuan H, Mei N, Li Y, et al. Theoretical and experimental investigation on a liquid-gas ejector power cycle using ammonia-water. Sci China Tech Sci, 2013, 56: 2289–2298
Hao L L, Wu J Y, Sun Y G, et al. Simplified mathematical model of inter-turn short circuit of field windings in hydro-generators and its application. Sci China Tech Sci, 2013, 56: 898–909
Liang Y P, Yu H H, Bian X. Analysis and calculation of slot leakage reactance in stator bar strands of deficient transposition. J Compel, 2013, 32: 1098–1111
Du C X, Gui W H, Zhou G H. Excessive losses and temperature field calculation of stator coil bars in air-cooled large hydro-generators. Proc CSEE, 2012, 32: 111–119
Abbaszadeh K, Alam F R. Circulating current analysis between strands in armature winding of a turbo-generator using analytical model. Turk J Electr Eng Co, 2013, 21: 55–70
Tang R Y, Xu G R, Tian L J,et al. Calculation of end region magnetic field and circulating losses for turbo-generators using a coupled field and circuit equation method. IEEE Trans Magn, 1990, 26: 497–500
Takahashi K, Takahashi M, Sato M. Calculation method for strand current distributions in armature winding of a turbine generator. Elect Eng Jap, 2003, 143: 323–329
Liang Y P, Huang H, Li L H, et al. Numerical calculation of end region of large air-cooled turbogenerator. Proc CSEE, 2007, 27: 73–77
Liang Y P, Bian X, Yu H H, et al. Analytic algorithm for strand slot leakage reactance of transposition bar in AC machine. IEEE Trans Ind Electr, 2014, 61: 5232–5240
Bian X, Liang Y P. Circuit network model of stator transposition bar in large generators and calculation of circulating current. IEEE Trans Ind Electr, 2015, 62: 1392–1399
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Liang, Y., Wu, L., Bian, X. et al. Numerical calculation for circulating current in stator transposition bars of large water-cooled turbo-generators. Sci. China Technol. Sci. 58, 1053–1061 (2015). https://doi.org/10.1007/s11431-015-5810-7
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DOI: https://doi.org/10.1007/s11431-015-5810-7