peter/Power-and-Machines-notes
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fix ampersand escape

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Peter 2022-10-25 12:04:23 +08:00
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commit 8c942cba19
2 changed files with 8 additions and 5 deletions
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.github/notes.md vendored Symbolic link
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../notes.md

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notes.md
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| Output power | Mechanical output power of the machine, excludes losses | $P_\text{out}$, $P_\text{load}$ |
| Converted power | Total electrical power converted to mechanical power, includes useful power and mechanical losses inside machine | $P_\text{conv}$, $P_\text{converted}$, $P_\text{mech}$, $P_\text{developed}$, $\tau_\text{mech}\times\omega_m$ |
| Airgap power | Power transmitted over airgap. | $P_\text{AG}$, $\tau_\text{mech}\times\omega_s$ |
| Mechanical loss | Power lost to friction and windage | $P_\text{mechanical loss}$, $P_\text{F\&W}$, $P_\text{friction and windage}$ |
| Mechanical loss | Power lost to friction and windage | $P_\text{mechanical loss}$, $P_\text{F\\\&W}$, $P_\text{friction and windage}$ |
| Core loss | Power lost in machine magnetic material due to hysteresis loss and eddy currents | $P_\text{core}$ |
| Rotor copper loss | Due to resistance of rotor windings | $P_r$, $P_\text{RCL}$ |
| Stator copper loss | Due to resistance of stator windings | $P_s$, $P_\text{SCL}$ |
@ -16,9 +16,9 @@
$$
\begin{align}
P_\text{in}&=P_\text{SCL}+P_\text{RCL}+P_\text{core}+P_\text{F\&W}+P_\text{misc}+P_\text{out}\\
P_\text{AG}&=P_\text{RCL}+P_\text{F\&W}+P_\text{misc}+P_\text{out}\\
P_\text{mech}&=P_\text{F\&W}+P_\text{misc}+P_\text{out}
P_\text{in}&=P_\text{SCL}+P_\text{RCL}+P_\text{core}+P_\text{F\\\&W}+P_\text{misc}+P_\text{out}\\
P_\text{AG}&=P_\text{RCL}+P_\text{F\\\&W}+P_\text{misc}+P_\text{out}\\
P_\text{mech}&=P_\text{F\\\&W}+P_\text{misc}+P_\text{out}
\end{align}
$$
@ -32,7 +32,7 @@ $$
Using assumptions, remove rotor part of circuit and only consider stator and magnetizing path.
![](2022-10-24-20-04-52.png)
![](2022-10-25-11-45-26.png)
## Blocked rotor test
@ -44,6 +44,8 @@ Using assumptions, remove rotor part of circuit and only consider stator and mag
| | $X_r'\approx X_{BL}/2$ | $X_s\approx X_r'$ |
| | $X_s\approx X_r'$ |
![](2022-10-25-11-46-04.png)
## Equivalent model
| Assumption | Eqn | Reason |