Understanding a PLL: Determine H(s) from Transfer Functions

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This discussion focuses on determining the transfer function H(s) for a Phase-Locked Loop (PLL) implementation. The user references a block diagram indicative of a synchronous frame-PLL, where the loop filter is identified as a Proportional-Integral (PI) regulator. For further insights, the discussion suggests consulting the paper "Operation of a phase locked loop system under distorted utility conditions" by V. Kaura and V. Blasko, which provides additional context on PLL performance under challenging input conditions.

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  • Read "Operation of a phase locked loop system under distorted utility conditions" by V. Kaura and V. Blasko for advanced insights
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anon6912
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I'm trying to implement a basic PLL. The diagram is given as follows:
ufU8lrC.png

ufU8lrC

ufU8lrC

Where the transfer functions are given as follows:
o0BHksR.png

o0BHksR


To implement the PLL I need it to be as follows:
gK0RkWm.png

gK0RkWm


How do I determine H(s) from the transfer functions that are given?

Thank you for your help
 
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Based on your 3rd picture, the block diagram reminds me of the so-called synchronous frame-PLL shown below (see attached pdf for more details). Here the loop filter is basically a PI regulator.

Se also "Operation of a phase locked loop system under distorted utility conditions" by V. Kaura and V. Blasko if you are interested in PLL under distorted inputs.
upload_2017-9-25_16-36-45.png
 

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Most likely this can only be answered by an "old timer". I am making measurements on an uA709 op amp (metal can). I would like to calculate the frequency rolloff curves (I can measure them). I assume the compensation is via the miller effect. To do the calculations I would need to know the gain of the transistors and the effective resistance seen at the compensation terminals, not including the values I put there. Anyone know those values?

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