... | ... | @@ -6,9 +6,10 @@ Suggested definition of 'differences' to be shown by tuneDisplay for various dev |
|
|
```
|
|
|
|
|
|
|
|
|
* Electrostatic steerers: the difference will be the actual steering voltage (steerer setpoint minus common plate setpoint) $`\left(U_{act}\right)`$ minus the calculated steering voltage (steerer setpoint minus common plate setpoint) $`\left(U_{theo}\right)`$, divided by the the full scale of the steerer supply (1000 V for most steerers in ISAC) $`\left(\Delta U\right)`$, multiplied by the maximum source voltage $`\left(U_{max, \: source}\right)`$ over the actual source voltage ($`U_{act, \: source}\right)`$.
|
|
|
* Electrostatic steerers: the difference will be the actual steering voltage (steerer setpoint minus common plate setpoint) $`\left(U_{act}\right)`$ minus the calculated steering voltage (steerer setpoint minus common plate setpoint) $`\left(U_{theo}\right)`$, divided by the the full scale of the steerer supply (1000 V for most steerers in ISAC) $`\left(\Delta U\right)`$, multiplied by the maximum source voltage $`\left(U_{max, \: source}\right)`$ over the actual source voltage $`\left(U_{act, \: source}\right)`$.
|
|
|
```math
|
|
|
\Delta = \frac{100 \cdot \left( U_{act} - U_{theo}\right)}{\Delta U} \cdot \frac{U_{max, \: source}}{U_{act, \: source}}
|
|
|
\Delta = \frac{100 \cdot \left( U_{act} - U_{theo}\right)}{\Delta U} \cdot \frac{U_{max, \: source}}{U_{act, \: source}}
|
|
|
```
|
|
|
For a typical ISAC electrostatic steerer this becomes:
|
|
|
```math
|
|
|
\Delta = \frac{100 \cdot \left( U_{act} - U_{theo}\right)}{1000} \cdot \frac{60}{U_{act, \: source}}
|
... | ... | @@ -17,14 +18,12 @@ Suggested definition of 'differences' to be shown by tuneDisplay for various dev |
|
|
|
|
|
* Magnetic steerers: the difference will be the actual steerer current $`\left(I_{act}\right)`$ minus the calculated steerer current $`\left(I_{theo}\right)`$, divided by the the full scale of the steerer supply (6 A or 200 A for most steerers in ISAC) $`\left(\Delta I\right)`$, multiplied by the maximum beam rigidity $`\left( \left(B\rho\right)_{max} \right)`$ at that location over the actual beam rigidity $`\left( \left(B\rho\right)_{act} \right)`$.
|
|
|
```math
|
|
|
\Delta = \frac{100 \cdot \left( I_{act} - I_{theo}\right)}{\Delta I} \cdot frac{\left(B\rho\right)_{max}}{\left(B\rho\right)_{act}}
|
|
|
\Delta = \frac{100 \cdot \left( I_{act} - I_{theo}\right)}{\Delta I} \cdot \frac{\left(B\rho\right)_{max}}{\left(B\rho\right)_{act}}
|
|
|
```
|
|
|
`Diff = 100*[(actual_setpoint - calc_setpoint)/steerer_range]*(max_Bp/actual_Bp)`
|
|
|
For a typical 100 A ISAC magnetic steerer in MEBT this becomes:
|
|
|
```math
|
|
|
\Delta = \frac{100 \cdot \left( I_{act} - I_{theo}\right)}{200} \cdot frac{1700 \left[\mathrm{kG} \cdot \mathrm{cm}\right]}{\left(B\rho\right)_{act}}
|
|
|
\Delta = \frac{100 \cdot \left( I_{act} - I_{theo}\right)}{200} \cdot \frac{1700 \left[\mathrm{kG} \cdot \mathrm{cm}\right]}{\left(B\rho\right)_{act}}
|
|
|
```
|
|
|
`Diff = 100*[(actual_setpoint - calc_setpoint)/200]*(1700 kG*cm/actual_Bp)`
|
|
|
|
|
|
* Magnetic dipoles: The percent difference between the dipole's calculated field setpoint (Gauss) $`\left(B_{theo}\right)`$ and its actual setpoint $`\left(B_{act}\right)`$.
|
|
|
```math
|
... | ... | |