Recent content by ollie456

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    Undergrad How can I solve a cubic equation in terms of a variable?

    Can anyone help solve S3+101S2+(10K+100)S+100K to find the roots of S in terms of K
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    Calculating gain of a phase detector

    How would you go about determining the location of the poles for the system?
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    Calculating gain of a phase detector

    So this is the value of the gain Kv that satisfies a steady state error of 1° with a ramp signal (slope) of 100 rads? Is there a limiting value of gain Kv to keep the system stable, or is this it?
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    Calculating gain of a phase detector

    Thanks, I've attached my working to get a value of 0.1 for Kv is this correct?
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    Calculating gain of a phase detector

    Ive attached some workings of the open loop transfer function calculation, is this evaluated at s=0 to obtain Kv
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    Calculating gain of a phase detector

    I know the error constant is the velocity error constant Kv, i now have the transfer function as k/(100s)(s+1)(s+100)
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    Calculating gain of a phase detector

    I have been trying to use the root locus approach, I'm not sure about frequency response. I worked the closed loop transfer function to 100K2/(s+1)(s+100)+K and then used the quadratic formula to try and obtain roots getting -50.5≠.5√9801-4k. The steady state error acceptable is 1° for a ramp...
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    Calculating gain of a phase detector

    I've attached a more accurate block diagram which has the feedback look included.
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    Calculating gain of a phase detector

    I have a linear model of a phase detector (phase lock loop) represented by the block diagram below. It is designed to maintain zero difference in phase between the input carrier signal and a local voltage controlled oscillator. Phase demand→Ka→F(s)→K/s→Phase output F(s) =...