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README.html
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README.md
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README.md
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@ -1,3 +1,8 @@
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```
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!\[\]\(([^\)]*)\)
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<center><img src="$1" width=400px></center>
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```
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> Why are the drawings bad?
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> Why are the drawings bad?
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I draw them with a mouse
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I draw them with a mouse
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@ -43,7 +48,7 @@ $$ \varphi = \arctan\left(\frac{Q}{P}\right) = \theta_v-\theta_i$$
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| Stator copper loss | Due to resistance of stator windings | $P_s$, $P_\text{SCL}$ |
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| Stator copper loss | Due to resistance of stator windings | $P_s$, $P_\text{SCL}$ |
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| Miscellaneous loss | Add 1% to losses to account for other unmeasured losses | $P_\text{misc}$, $P_\text{stray}$ |
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| Miscellaneous loss | Add 1% to losses to account for other unmeasured losses | $P_\text{misc}$, $P_\text{stray}$ |
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<center><img src="2022-10-25-11-33-40.png" width=400px></center>
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$$
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$$
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\begin{align}
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\begin{align}
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@ -72,7 +77,7 @@ Note - assume loss is 0 if not mentioned!
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### Diagram
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### Diagram
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<center><img src="2022-10-26-22-06-19.png" width=400px></center>
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### Equivalent model
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### Equivalent model
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@ -87,19 +92,21 @@ Note - assume loss is 0 if not mentioned!
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### Diagram
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### Diagram
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<center><img src="2022-10-26-21-53-13.png" width=400px></center>
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### DC test
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### DC test
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#### $\Delta$ machine
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#### $\Delta$ machine
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$$R_s=\frac{3}{2}\cdot\frac{V_{\text{DC},3\phi}}{I_{\text{DC},3\phi}}$$
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$$R_s=\frac{3}{2}\cdot\frac{V_{\text{DC},3\phi}}{I_{\text{DC},3\phi}}$$
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<center><img src="2022-10-26-22-43-25.png" width=400px></center>
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#### Y machine
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#### Y machine
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$$R_s=\frac{1}{2}\cdot\frac{V_{\text{DC},3\phi}}{I_{\text{DC},3\phi}}$$
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$$R_s=\frac{1}{2}\cdot\frac{V_{\text{DC},3\phi}}{I_{\text{DC},3\phi}}$$
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<center><img src="2022-10-26-22-48-09.png" width=400px></center>
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### No-load test
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### No-load test
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@ -114,7 +121,7 @@ $$R_s=\frac{1}{2}\cdot\frac{V_{\text{DC},3\phi}}{I_{\text{DC},3\phi}}$$
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Using assumptions, remove rotor part of circuit and only consider stator and magnetizing path.
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Using assumptions, remove rotor part of circuit and only consider stator and magnetizing path.
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<center><img src="2022-10-25-11-45-26.png" width=400px></center>
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### Blocked rotor test
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### Blocked rotor test
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@ -133,7 +140,7 @@ Using assumptions, remove rotor part of circuit and only consider stator and mag
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Ignore magnetizing path
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Ignore magnetizing path
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<center><img src="2022-10-25-11-46-04.png" width=400px></center>
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---
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---
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@ -141,19 +148,19 @@ Ignore magnetizing path
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### Diagram
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### Diagram
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<center><img src="2022-10-26-21-47-29.png" width=400px></center>
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### Blocked-rotor
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### Blocked-rotor
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#### Diagram
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#### Diagram
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<center><img src="2022-10-26-21-48-00.png" width=400px></center>
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### No-load
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### No-load
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#### Diagram
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#### Diagram
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<center><img src="2022-10-26-21-47-49.png" width=400px></center>
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## Synchronous machine
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## Synchronous machine
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@ -170,9 +177,9 @@ $$\text{VR}=\frac{|V_\text{NL}|-|V_\text{FL}|}{|V_\text{FL}|}=\frac{|E_A|-|V_{1\
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- Calculate $E_A$ at full load by calculating the current as shown above.
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- Calculate $E_A$ at full load by calculating the current as shown above.
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- $V_\text{NL}$ is the no-load voltage, which in the no-load case will be $E_A$.
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- $V_\text{NL}$ is the no-load voltage, which in the no-load case will be $E_A$.
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| No-load | Full-load |
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| No-load | Full-load |
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| ---------------------------- | ---------------------------- |
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| ---------------------------------------------------------------- | ---------------------------------------------------------------- |
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|  |  |
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| <center><img src="2022-10-27-20-15-13.png" width=300px></center> | <center><img src="2022-10-27-20-19-47.png" width=300px></center> |
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| Power factor | Voltage regulation |
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| Power factor | Voltage regulation |
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| ------------ | ------------------ |
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| ------------ | ------------------ |
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@ -184,9 +191,9 @@ $$\text{VR}=\frac{|V_\text{NL}|-|V_\text{FL}|}{|V_\text{FL}|}=\frac{|E_A|-|V_{1\
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#### **Note** - double-check if the axis refers to per-phase or line voltage/current.
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#### **Note** - double-check if the axis refers to per-phase or line voltage/current.
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| Open-circuit test | Short-circuit test |
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| Open-circuit test | Short-circuit test |
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| ---------------------------- | ---------------------------- |
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| ----------------------------------------------------------------- | ---------------------------------------------------------------- |
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|  |  |
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| <center><img src="2022-10-27-15-31-49.png" width=300px ></center> | <center><img src="2022-10-27-15-32-07.png" width=300px></center> |
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### Power flow
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### Power flow
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@ -227,11 +234,11 @@ $$R_\text{load}=|{R_\text{src}}^2+j{X_\text{src}}^2|$$
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#### Parameter identification
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#### Parameter identification
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<center><img src="2022-10-28-15-52-14.png" width=400px></center>
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| Open-circuit test | Short-circuit test |
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| Open-circuit test | Short-circuit test |
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| ---------------------------- | ---------------------------- |
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| ---------------------------------------------------------------- | ---------------------------------------------------------------- |
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|  |  |
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| <center><img src="2022-10-28-15-53-29.png" width=300px></center> | <center><img src="2022-10-28-15-52-58.png" width=300px></center> |
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#### Voltage regulation
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#### Voltage regulation
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@ -243,16 +250,16 @@ Voltage regulation is typically small.
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$$|V_\text{in}|=|V_\text{rated,P}+I_\text{L,P}\cdot\bar Z|$$
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$$|V_\text{in}|=|V_\text{rated,P}+I_\text{L,P}\cdot\bar Z|$$
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<center><img src="2022-10-28-16-30-51.png" width=400px></center>
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### DC machine
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### DC machine
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| Separately excited machine | Shunt excited | Series excited |
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| Separately excited machine | Shunt excited | Series excited |
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| ---------------------------------------- | ----------------------------------------------------------------- | --------------------------------------------------------------------------------- |
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| ---------------------------------------------------- | ----------------------------------------------------------------- | --------------------------------------------------------------------------------- |
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|  |  |  |
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| <center><img src="2022-10-28-18-21-53.png"></center> | <center><img src="2022-10-28-18-22-17.png"></center> | <center><img src="2022-10-28-18-28-51.png"></center> |
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| | Similar torque-speed characteristic to separately-excited machine | High torque per ampere. Used in high-torque applications |
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| | Similar torque-speed characteristic to separately-excited machine | High torque per ampere. Used in high-torque applications |
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| Requires two independent voltage sources | | Do not run unloaded - infinite speed at 0 torque as $\omega\propto 1/\sqrt{\tau}$ |
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| Requires two independent voltage sources | | Do not run unloaded - infinite speed at 0 torque as $\omega\propto 1/\sqrt{\tau}$ |
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| Motor control using $R_f$ | Motor control using $R_F$ | Motor control using $V_T$. |
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| Motor control using $R_f$ | Motor control using $R_F$ | Motor control using $V_T$. |
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#### Starting DC motors
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#### Starting DC motors
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