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Cavity Control Influence on DampingPowerPoint Presentation

Cavity Control Influence on Damping

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Cavity Control Influence on Damping

- Case 1: All cavity control on Pendulum 2

*

Pendulum 1

Pendulum 2

* Top to top mass transfer function

longitudinal

u1,2

u2,2

u1,3

u2,3

- What you would expect – the quad is just hanging free.
- Note: both pendulums are identical in this simulation.

u1,4

u2,4

Control Law

0

1

G1200774

Cavity Control Influence on Damping

- Case 2: All cavity control on Pendulum 1

Pendulum 1

Pendulum 2

*

* Top to top mass transfer function

longitudinal

u1,2

u2,2

u1,3

u2,3

- The top mass of pendulum 1 behaves like the UIM, PUM, and test mass are clamped to gnd.
- This happens when the ugfs of the UIM, PUM, and test mass loops are above the quad’s resonant frequencies.

u1,4

u2,4

Control Law

1

0

G1200774

Cavity Control Influence on Damping

- Case 3: Cavity control split evenly between both pendulums

Pendulum 1

Pendulum 2

*

* Top to top mass transfer function

longitudinal

u1,2

u2,2

u1,3

u2,3

- The top mass response is now an average of the previous two cases -> 5 resonances to damp.
- Control up to the PUM, rather than the UIM, would yield 6 resonances.
- aLIGO will likely behave like this.

u1,4

u2,4

Control Law

0.5

0.5

G1200774

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