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TPS23753A: TPS23753A issue with Application Note SLVA305C

Part Number: TPS23753A

Hello,

We tried to design a PoE Power Supply with the TPS 23753A like proposed in the Application Note SLVA305C. In order to calculate the feedback etc. we transfered the equations of the A.N. into a Mathcad sheet.

A problem occured in: "2.10.3 Compensate Opto-Isolator or Inner Loop" (page 14):

Equation 35 said:

Z_OUT(w)=Z_cout1(w)||Z_cout2(w)||R_load

so

Z_Out(w)=1/(i*w*Cout2+i*w*Cout1+1/R_load)                    

Is this correct so far?

By Equation 36 I get

MPF(w)=I_MPS(w)*Z_OUT(w).

with

I_MPS(w)=K.MPS*(1-(iw/w_RHPZ))

with

w_RHPZ=RHPZ*2*pi

Putting this into Equation 38 should return a C_CTL of 50.3nF. In my case it did not. The squared term got bigger than 1 so the number in the squareroot was negative, giving me a complex number as a result.

The values used for the Calculation were the ones used in the A.N.:

K_CTL=2

CTR_2mA=0.85

F_0=5.5kHz

G_mo (2 pi F_0 ) = 0.75

R_CTL=2k

R_OB=402R

C_out1=47µF

C_out2=2*47µF

RHPZ=21.6kHz

K_MPS=4.66A/V

R_load=1.56R

So either did i make a mistake probably somewhere in the MPF function or i confused a value or there's something strange in the A.N?

Can you help me with that?

Thank you in advance.

Benedikt Bugl