Medium frequency transformers have high power density, small volume, complex winding structure, and strong local electrical stress, so the design of transformer must fully consider the electro-thermal stress margin to ensure reliability. In this paper, the method of adding electrostatic ring and angle ring were proposed to suppress the electric field strength at the end of primary winding, and the electric field strength distribution of multi-winding transformer was calculated by electrostatic field finite element analysis method. Combined with the sensitivity analysis method, the influence of the size parameters of electrostatic ring and angle ring on the electric field strength was studied to determine the decisive factors of the maximum electric field strength. The response surface function related to electric field strength was constructed by response surface method to optimize the insulation structure of transformer. The results show that the optimal sizes of electrostatic ring and angle ring are obtained by the above response surface function through taking a 50 kW, 10 kHz multi-winding medium-frequency transformer as an example, which can reduce the maximum electric field strength by 15.4% and 17.49% under short-term power frequency withstand voltage test and rated operating conditions, respectively. It is proved that the response surface method can be applied to the insulation structure design of multi-winding transformer.
| 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 |