in star connection
line voltage is=(3)^(1/2)*phasevoltage
line current is=phase current
in delta connection
line voltage is =phase voltage
line current is =(3)^(1/2)*phase current

power ratio=( ((3)^(1/2)*phasevoltage*phase current)/((((3)^
(1/2)*phasevoltage*phase current))
so power ratio is =1.

Power ratio between star and delta is 1:1
because power in star=line voltage(3^1/2*Vph)*line current
(Iph)=3^1/2VphIph
power in delta =line voltage(Vph)*line current(3^1/2*Iph)
=3^1/2VphIph

IIly in star connected vphase=Vline/rt3,
Iline=Iphase
ie Power = rt3 vpahseIphaseCos
ie. in both star and delta power remain same
therefore the Power ratio = 1.

i think transformer just step up or step down voltage or
current only but power remains same(constant).so ratio of
p1 to p2 is 1 when same transformer connected in star or
delta.

The power transformation ratio in the transformer is
1:1.Only the voltage and currents are subjected to
change.Pri MVA=Secondary MVA. Except to compensate for some
losses.

If placing 3 resistors in Delta rather than Star will end
up with 3 times more heating power. This is because you
have sq root of 3 times more voltage across each resistor
in Delta and hence end up with the sq root of 3 times more
current through each resistor. The sq root of 3 of more
voltage times the sq root of 3 of more current than, star
connected resistors means 3 times more power. Capacitor
are often connected in Delta for power factor correction as
this offers 3 times more reactive power than in Star
connection, though be aware they need to be able to cope
with line voltage across each Cap in Delta.

If placing 3 resistors in Delta rather than Star will end
up with 3 times more heating power. This is because you
have sq root of 3 times more voltage across each resistor
in Delta and hence end up with the sq root of 3 times more
current through each resistor. The sq root of 3 of more
voltage times the sq root of 3 of more current than, star
connected resistors means 3 times more power. Capacitor
are often connected in Delta for power factor correction as
this offers 3 times more reactive power than in Star
connection, though be aware they need to be able to cope
with line voltage across each Cap in Delta.
Thanks

We have one 500KVA transformer. We have tested REF relay
and commissioned. After one and half year, due to some
ground fault in one of the DB circuit Transformer tripped
by REF relay. What will be cause and remedy. Please advise?