活塞电磁热耦合

Induction field MLP

铜线圈中的 40 kHz 交变电流在铝活塞中产生涡流，电磁损耗使活塞升温。模型保留活塞环槽、内部空腔和裙部曲面，采用四分之一对称几何。

线圈电流可在 90–110 A 内调节，预测活塞表面的磁感应强度、涡流密度、电磁损耗密度和温度。97 A 验证与 107 A 独立参考对比已通过；适用范围限于当前几何和固定频率的表面场。

几何范围

Quarter piston with ring grooves, internal cavity and curved skirt

几何约束

same_geometry_only

可调输入

输出字段

• domain: Temperature, Electromagnetic loss density, Magnetic flux density X real, Magnetic flux density Y real, Magnetic flux density Z real, Magnetic flux density X imag, Magnetic flux density Y imag, Magnetic flux density Z imag, Eddy current density X real, Eddy current density Y real, Eddy current density Z real, Eddy current density X imag, Eddy current density Y imag, Eddy current density Z imag

已登记验证

registered_status

passed

registered_parameters

coil_current_a: 107

registered_reference

Independent native COMSOL 107 A surface solution

holdout_metrics

bx_real: rmse: 0.0001737644790541398; relative_l2: 0.022589910656440334; correlation: 0.9997388832656704; max_abs_error: 0.002078422059946086; prediction_min: -0.0385398461863; prediction_max: 0.0247706228899; status: PASS; by_real: rmse: 0.000175979866142031; relative_l2: 0.023001088494212174; correlation: 0.9997298460303251; max_abs_error: 0.0015997095343826312; prediction_min: -0.0380716519896; prediction_max: 0.0238907989702; status: PASS; bz_real: rmse: 0.00027769157251736354; relative_l2: 0.013276993494374731; correlation: 0.9998684931752275; max_abs_error: 0.0041496133469811035; prediction_min: -0.00451222045495; prediction_max: 0.0494628435868; status: PASS; bx_imag: rmse: 3.3497132871380566e-05; relative_l2: 0.034626787722860146; correlation: 0.9993996033706093; max_abs_error: 0.00037391635488858165; prediction_min: -0.00513220871897; prediction_max: 0.00510050005137; status: PASS; by_imag: rmse: 3.952776029332384e-05; relative_l2: 0.041253686105437795; correlation: 0.9991478745629939; max_abs_error: 0.000766007478116366; prediction_min: -0.00500951733752; prediction_max: 0.00501781153493; status: PASS; bz_imag: rmse: 5.7173544959412526e-05; relative_l2: 0.032497006115660476; correlation: 0.9993736006037485; max_abs_error: 0.0011194434272338947; prediction_min: -0.00542952441981; prediction_max: 0.00283450396276; status: PASS; jx_real: rmse: 364679.73309480975; relative_l2: 0.011114855325185148; correlation: 0.9999034749744793; max_abs_error: 3350035.6010606214; prediction_min: -13848235.2253; prediction_max: 101638872.786; status: PASS; jy_real: rmse: 358045.305612502; relative_l2: 0.010823140035521074; correlation: 0.9999077944322011; max_abs_error: 2810590.7901884085; prediction_min: -102752277.045; prediction_max: 2097481.37417; status: PASS; jz_real: rmse: 51216.120644358074; relative_l2: 0.04062267039321753; correlation: 0.9991744587781697; max_abs_error: 535437.1961644967; prediction_min: -24019255.4836; prediction_max: 29015733.691; status: PASS; jx_imag: rmse: 387420.1857189806; relative_l2: 0.011864403628936482; correlation: 0.9998951369778816; max_abs_error: 5547850.70015269; prediction_min: -14506657.2753; prediction_max: 107249110.214; status: PASS; jy_imag: rmse: 372768.76738498954; relative_l2: 0.01131377178287158; correlation: 0.9999040229429779; max_abs_error: 4157887.678198822; prediction_min: -107519109.467; prediction_max: 3607266.16647; status: PASS; jz_imag: rmse: 57767.38180005015; relative_l2: 0.04096448063252176; correlation: 0.9991604834365352; max_abs_error: 994260.7292645177; prediction_min: -29087464.1979; prediction_max: 36282231.5674; status: PASS; loss_density_w_m3: rmse: 1250628.3338484585; relative_l2: 0.01272805454378354; correlation: 0.9998796356069904; max_abs_error: 11459561.699913055; prediction_min: 0.000236643522245; prediction_max: 298183098.379; status: PASS; temperature: rmse: 0.5163137761471804; relative_l2: 0.0009225300918153043; correlation: 0.9921094392040511; max_abs_error: 2.6476476346499567; prediction_min: 548.083639142; prediction_max: 564.803107429; temperature_rise_relative_l2: 0.0019371534352566337; status: PASS

thresholds

per_phasor_component_relative_l2_max: 0.05; loss_density_relative_l2_max: 0.05; temperature_rmse_k_max: 1.0; temperature_rise_relative_l2_max: 0.05; per_nonconstant_field_correlation_min: 0.98; loss_density_min_w_m3: 0.0; temperature_min_k: 293.15

summary

97 A validation and 107 A holdout passed on the registered piston surface; fixed geometry and 40 kHz.