To quickly and accurately calculate the winding losses of Litz-wire in a transformer with a CLLC resonant circuit, the orthogonal relationship between the skin effect and proximity effect is utilized to divide the winding losses into those caused by the skin effect and proximity effect, so that these losses can be calculated separately to avoid errors caused by end effects in the windings. First, the duty cycle is used to calculate the losses caused by the proximity effect. By analyzing the current expressions for the transformer with a CLLC resonant circuit and further combining them with the formulas for losses caused by the skin effect and proximity effect, an empirical formula for calculating the winding losses of the transformer with a CLLC resonant circuit is derived. Finally, a transformer with a CLLC resonant circuit was designed and fabricated, Maxwell simulations and experimental measurements were conducted for validation, and the simulated and measured values were also compared with those calculated by a modified Tourkhani model. Results show that the proposed model can accurately calculate the winding losses of Litz-wire in the CLLC transformer, enabling precise prediction of winding losses of Litz-wire in transformers with CLLC resonant circuits.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |