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Suggested definition of 'differences' to be shown by tuneDisplay for various devices:
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* Quads (both magnetic and electrostatic): The percent difference between the quad's calculated setpoint (current or voltage) $`\left({SP}_{theo}\right)`$ and its actual setpoint $`\left({SP}_{act}\right)`$.
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* Quads (both magnetic and electrostatic):
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The percent difference between the quad's calculated setpoint (current or voltage) $`\left({SP}_{theo}\right)`$ and its actual setpoint $`\left({SP}_{act}\right)`$.
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```math
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\Delta = \frac{100 \cdot \left( {SP}_{act} - {SP}_{theo}\right)}{{SP}_{theo}}
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```
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* 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 minimum source voltage $`\left(U_{min, \: source}\right)`$ over the actual source voltage $`\left(U_{act, \: source}\right)`$.
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* Electrostatic steerers:
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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 minimum source voltage $`\left(U_{min, \: source}\right)`$ over the actual source voltage $`\left(U_{act, \: source}\right)`$.
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```math
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\Delta = \frac{100 \cdot \left( U_{act} - U_{theo}\right)}{\Delta U} \cdot \frac{U_{min, \: source}}{U_{act, \: source}}
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```
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For a typical ISAC electrostatic steerer this becomes:
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```math
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\Delta = \frac{100 \cdot \left( U_{act} - U_{theo}\right)}{1000} \cdot \frac{10}{U_{act, \: source}}
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```
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```
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* 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 minimum beam rigidity $`\left( \left(B\rho\right)_{min} \right)`$ at that location over the actual beam rigidity $`\left( \left(B\rho\right)_{act} \right)`$.
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* Magnetic steerers:
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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 minimum beam rigidity $`\left( \left(B\rho\right)_{min} \right)`$ at that location over the actual beam rigidity $`\left( \left(B\rho\right)_{act} \right)`$.
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```math
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\Delta = \frac{100 \cdot \left( I_{act} - I_{theo}\right)}{\Delta I} \cdot \frac{\left(B\rho\right)_{min}}{\left(B\rho\right)_{act}}
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```
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... | ... | @@ -24,20 +25,27 @@ Suggested definition of 'differences' to be shown by tuneDisplay for various dev |
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```math
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\Delta = \frac{100 \cdot \left( I_{act} - I_{theo}\right)}{200} \cdot \frac{84 \left[\mathrm{kG} \cdot \mathrm{cm}\right]}{\left(B\rho\right)_{act}}
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```
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* Magnetic dipoles: The percent difference between the dipole's calculated field setpoint (Gauss) $`\left(B_{theo}\right)`$ and its actual setpoint $`\left(B_{act}\right)`$.
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* Electrostatic dipoles:
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The percent difference between the dipole's calculated plate setpoint $`\left(U_{act}\right)`$, which is the difference of the actual Voltage between the plates $`\left(U_{-} - U_{+}\right)_{act}`$, and its actual common plate setpoint $`\left(U_{theo}\right)`$, which is the difference of the theoretical Voltage $`\left(U_{-} - U_{+}\right)_{theo}`$.
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```math
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\Delta = \frac{100 \cdot \left( U_{act} - U_{theo}\right)}{\Delta U} \cdot \frac{U_{min, \: source}}{U_{act, \: source}}
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```
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* Magnetic dipoles:
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The percent difference between the dipole's calculated field setpoint (Gauss) $`\left(B_{theo}\right)`$ and its actual setpoint $`\left(B_{act}\right)`$.
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```math
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\Delta = \frac{100 \cdot \left( B_{act} - B_{theo}\right)}{B_{theo}}
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```
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* RF phases: The difference between the calculated phase setpoint (in degrees) $`\left(\varphi_{theo}\right)`$ and its actual setpoint $`\left(\varphi_{act}\right)`$, normalized to 180 degrees.
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* RF phases:
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The difference between the calculated phase setpoint (in degrees) $`\left(\varphi_{theo}\right)`$ and its actual setpoint $`\left(\varphi_{act}\right)`$, normalized to 180 degrees.
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```math
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\Delta = \frac{100 \cdot \left( \varphi_{act} - \varphi_{theo}\right)}{180}
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```
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* RF amplitudes: The percent difference between the calculated amplitude setpoint (units unspecified) $`\left(A_{theo}\right)`$ and its actual setpoint $`\left(A_{act}\right)`$.
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* RF amplitudes:
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The percent difference between the calculated amplitude setpoint (units unspecified) $`\left(A_{theo}\right)`$ and its actual setpoint $`\left(A_{act}\right)`$.
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```math
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\Delta = \frac{100 \cdot \left( A_{act} - A_{theo}\right)}{A_{theo}}
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``` |
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