The purpose of this paper is to optimize the topology of the rotor head in a Salient Pole Synchronous Generator to maximize the magnetic flux in the stator yoke and in the air gap. The generator is modelled using FE method, and the ON-OFF method is used to manage the optimization domain. Genetic Algorithm is used to find the optimal solution for the problem. The resulting topology and convergence graphs are also presented, and the results are discussed.
HidakaY.SatoT. and IgarashiH., Topology optimization method based on ON–OFF method and level set approach, IEEE Trans. Magn.50 (2014), 617–620.
2.
OkamotoY.TominagaY.WakaoS. and SatoS., Topology optimization of rotor core combined with identification of current phase angle in IPM motor using multistep genetic algorithm, IEEE Trans. Magn.50 (2014), 725–728.
3.
PutekP.PulchR.BartelA.ter MatenE.J.W.GüntherM. and GawrylczykK.M., Shape and topology optimization of a permanent-magnet machine under uncertainties, J. Math. Ind.6(11) (2016), doi:10.1186/s13362-016-0032-6.
4.
BendsøeM.P. and KikuchiN., Generating optimal topologies in structural design using a homogenization method, Comput. Methods Appl. Mech. Eng.71 (1988), 197–224.
5.
RozvanyG.I.N.ZhouM. and BirkerT., Generalized shape optimization without homogenization, Struct. Optim.4 (1992), 250–252.
6.
AnagnostouG.RønquistE.M. and PateraA.T., A computational procedure for part design, Comput. Methods Appl. Mech. Eng.97 (1992), 33–48.
7.
OsherS. and SethianJ.A., Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys.79 (1988), 12–49.
8.
SanogoS.MessineF.HenauxC. and VilamotR., Topology optimization for magnetic circuits dedicated to electric propulsion, IEEE Trans. Magn.50 (2014), 1–13.
9.
ChoiJ.S. and YooJ., Structural topology optimization of magnetic actuators using genetic algorithms and ON/OFF sensitivity, IEEE Trans. Magn.45 (2009), 2276–2279.
10.
AllaireG.JouveF. and ToaderA.-M., A level-set method for shape optimization, C. R. Math.334 (2002), 1125–1130.
11.
GoldbergD.E., Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley Pub. Co, 1989.
12.
AmmarA.BerbeceaA.C.GillonF. and BrochetP., Influence of the ratio of hybridization on the performances of synchronous generator with hybrid excitation, in: XXth International Conference on Electrical Machines, IEEE - ICEM, 2012, pp. 2921–2926.
13.
MohamodhosenB.B.S.GillonF.TounziM. and ChevallierL., Topology optimisation using nonlinear behaviour of ferromagnetic materials, COMPEL - Int. J. Comput. Math. Electr. Electron. Eng.37 (2018), 2211–2223.
14.
PoulsenT.A., A simple scheme to prevent checkerboard patterns and one-node connected hinges in topology optimization, Struct. Multidiscip. Optim.24 (2002), 396–399.
OkamotoY.AkiyamaK. and TakahashiN., 3-D topology optimization of single-pole-type head by using design sensitivity analysis, IEEE Trans. Magn.42 (2006), 1087–1090.
18.
BendsøeM.P., Topology Optimization: Theory, Methods, and Applications, Springer, 2003.
19.
MarroccoA., Analyse Numérique des Problèmes d’Électrotechniques, Ann. Sci. Math. Quèbec1 (1977), 217–296.
