The quote from the manual that mentions the case with r = x = 0 is simply to 
make clear the definition of the tap ratio of the ideal transformer, which is 
only a piece of the branch model (see Fig 3-1 in the manual). A transformer is 
modeled as an ideal transformer in series with a pi-model line with series 
impedance and shunt capacitance.

In any case, zero impedance branches *will* cause numerical problems, since 
they result in NaNs or Infs in the Ybus matrix.

-- 
Ray Zimmerman
Senior Research Associate
419A Warren Hall, Cornell University, Ithaca, NY 14853
phone: (607) 255-9645




On Mar 9, 2012, at 10:09 AM, Jo Hoogslag wrote:

> Dear all,
>  
> I have question concerning the impedance of transformers. I was under the 
> impression that transformers were ideal and had impedance = 0. In the 
> Matpower User Manual is says that "if r = x = 0, tap = Vf/Vt" (page 79). 
> However, when I model transformers with a tap ratio, BR_R = 0 and BR_X = 0 it 
> doesn't converge (NaN).
>  
> When I model the same transformers with BR_R = 0 and BR_X = 0.1 it works.
>  
> I do not understand this, have I misunderstood the manual?
>  
> Cheers,
> Jo

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