Based on Hopf bifurcation theory, the stability of pumped storage power station considering asymmetric water passing system is studied. Firstly, the mathematical model of the speed regulation system of the pumping and storage unit of the one-pipe two-machine asymmetric water passing system with the upstream surge chamber is established. On this basis, the Hopf bifurcation analysis is carried out to obtain the theoretical stability region of the speed regulation system, and the dynamic response characteristics of the unit under different control parameters are analyzed to verify its theoretical stability region. Furthermore, the multi-scale oscillation characteristics and its generation mechanism of the dynamic response of a pipe double pump storage unit are revealed. Finally, the influence laws of flow inertia time constant, turbine inertia time constant and surge chamber time constant on system stability are explored. The results show that the Hopf bifurcation of the speed control system of the pumping and storage unit of the one-pipe two-machine asymmetric overflow system with the upstream surge chamber is supercritical, and its stability region is determined by two bifurcation lines; The hydraulic interference between the surge chamber and the units makes the response characteristics of the units show obvious multi-scale oscillation characteristics; Larger flow inertia time constant and smaller turbine inertia time constant are beneficial to system stability, and the influence of surge chamber time constant on system stability presents saturation characteristics. The research results have important guiding significance for the intelligent control of pumping and storage units and the design optimization of water passing system in power stations.
| 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 |