Packet H: Bonus 12
The left-hand side of this equation contains the inertia constant H, which quantifies the transient stability of a generator against frequency fluctuations. For 10 points each:
[10h] Name this second-order differential equation used to model synchronous generators which states that 2H over omega-sub-s times the second time-derivative of theta equals mechanical power.
ANSWER: swing equation
[10m] The swing equation is expressed in terms of either power or this other quantity that, for a motor, is plotted against RPM on a namesake curve. A car’s transmission is coupled to its engine by a “converter” of this quantity.
ANSWER: torque [accept torque curve; accept torque converter]
[10e] The swing equation is an application of the rotational version of this law, which states that torque equals moment of inertia times angular acceleration.
ANSWER: Newton’s second law of motion [prompt on Newton’s laws of motion or laws of motion; prompt on “F = ma”]
<Virginia Tech B, Physics> | Packet H - Yale A, Ohio State C, Illinois C, Virginia Tech B, MIT A
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 71 | 11.83 | 72% | 47% | 0% |
Conversion
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| California (North) | Main Site | ✓ | 3 | 16.67 | 100% | 67% | 0% |
| California (South) | Main Site | ✓ | 4 | 10.00 | 75% | 25% | 0% |
| Canada | Main Site | ✓ | 12 | 11.67 | 67% | 50% | 0% |
| Florida | Main Site | ✓ | 3 | 6.67 | 33% | 33% | 0% |
| Great Lakes | Main Site | ✓ | 4 | 17.50 | 100% | 75% | 0% |
| Midwest | Main Site | ✓ | 8 | 13.75 | 75% | 63% | 0% |
| Overflow | Main Site | ✓ | 4 | 12.50 | 75% | 50% | 0% |
| South Central | Main Site | ✓ | 2 | 10.00 | 50% | 50% | 0% |
| Southeast | Main Site | ✓ | 8 | 10.00 | 75% | 25% | 0% |
| UK | Main Site | ✓ | 12 | 11.67 | 67% | 50% | 0% |
| Upper Mid-Atlantic | Main Site | ✓ | 8 | 8.75 | 63% | 25% | 0% |
| Upstate NY | Main Site | ✓ | 3 | 16.67 | 100% | 67% | 0% |