DC converter's power factor.

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Besoeker

Senior Member
Location
UK
It clearly shows how power factor varies with speed for a DC motor. Note this AC input power factor that you would expect for a shunt wound separately excited machine which many are.

There are series wound machines. Typically these are used in traction applications and combustion engine starter motors. High torque at low speed is the main attribute.
I've had a few encounters with them but really my area.
Not my area is what I meant to post.
Separately excited shunt wound DC motors very much are.
 

Chelny

Member
Location
Russia
assuming the DC motor is the one we have been discussing
need the input power for the AC motor

DC machine
S = 128 kva, pf = 0.85, ang = arccos 0.85 = 31.8 deg
S = P + jQ = 0.85 x 128 + j sin31.8 x 128 = 108.8 + j67.5

need to do the same for the AC
S = ? kva pf = 0.92, ang = arccos 0.92 = 23.1 deg
need S for the AC????

yes, I get that.

AC drive:
line voltage =400V;
rated input current (HO)= 39,9 A;
let's suppose it has the coolest pf in the world for drives =0,92; // as I've drawn in my sketch above.

Chelny
 

Ingenieur

Senior Member
Location
Earth
yes, I get that.

AC drive:
line voltage =400V;
rated input current (HO)= 39,9 A;
let's suppose it has the coolest pf in the world for drives =0,92; // as I've drawn in my sketch above.

Chelny

from previous post
S dc = 108.8 + j67.5

S ac = sqrt3 400 39.9 = 27.6 kva
pf = 0.92, ang = arccos 0.92 = 23.1 deg

S ac = 0.92 x 27.6 + j sin23.1 x 27.6 = 25.4 + j10.8

S total = S dc + S ac =108.8 + j67.5 + 25.4 + j10.8 = 134.2 + j78.3 = 155.4 / 30.3 deg
ang = arctan (78.3/134.2) = 30.3 deg
pf = cos 30.3 = 0.86
 

Ingenieur

Senior Member
Location
Earth
let's take it one step further
say you want to improve system pf from old 0.86 to new 0.90

S old = 134.2 + j78.3
ang = 30.3 deg
pf = 0.86

new pf = 0.90, ang = arccos 0.90 = 25.8 deg
pf = 0.90 = cos(arctan(new Q / P)), P stays the same since mech load is constant
solving;
new Q = tan(arccos0.9) x 134.2 = 65 kva
new S = 134.2 + j65

cap kvar required = 78.3 - 65 = 13.3 kvar (use 15)

S = 134.2 + j78.3 - j15 = 134.2 + j63.3 = 148.4 / 25.3 deg
new pf = 0.904

Q = V^2 / Xc so Xc = 400^2 / 15 kvar = 10.67 Ohm
Xc = 1/(2 Pi f C) or C = 1/(2 Pi 50 10.67) = 300 uF
 
Last edited:

Chelny

Member
Location
Russia
from previous post
S dc = 108.8 + j67.5

S ac = sqrt3 400 39.9 = 27.6 kva
pf = 0.92, ang = arccos 0.92 = 23.1 deg

S ac = 0.92 x 27.6 + j sin23.1 x 27.6 = 25.4 + j10.8

S total = S dc + S ac =108.8 + j67.5 + 25.4 + j10.8 = 134.2 + j78.3 = 155.4 / 30.3 deg
ang = arctan (78.3/134.2) = 30.3 deg
pf = cos 30.3 = 0.86

I am interested in what does S mean. What's formula?

S ac = 0.92 x 27.6 + j sin23.1 x 27.6 = 25.4 + j10.8

S ac = PF x KVA = 0,92 x 27,6 -so looks finding of real power.

S ac = 0.92 x 27.6 + j sin23.1 x 27.6 = 25.4 + j10.8 // why 'variables in blue' are used here? What's the formula.
// What variables are?

Chelny
 

jumper

Senior Member
I am interested in what does S mean. What's formula?

S= Apparent Power=VA



https://www.allaboutcircuits.com/te...ent/chpt-11/true-reactive-and-apparent-power/
 

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Ingenieur

Senior Member
Location
Earth
S = total power (or apparent) in VA
P = real or active power in W, does work
Q = reactive or imaginary power in VAr (volt amp reactive), no work, does C charging/L magnetizing
j = sqrt(-1) a mathematical convention

S = P + jQ in rectangular coordinates
arctan(Q/P) = ph ang in deg
cos (ph ang) = cos (arctan(Q/P)) = pf

P = S x cos(ph ang) = S x pf
Q = S x sin(ph ang) = S x sin(arccos(pf))
|S| = sqrt(P^2 + Q^2)
S = magnitude / ph ang in deg= |S| /arctan(Q/P) in polar, and in this case phasor notation

by convention
positive Q = lagging pf or absorbing reactive power, L
negative Q = leading pf or suppling reactive power, C
 
Last edited:

Chelny

Member
Location
Russia
S = total power (or apparent) in VA
P = real or active power in W, does work
Q = reactive or imaginary power in VAr (volt amp reactive), no work, does C charging/L magnetizing
j = sqrt(-1) a mathematical convention

S = P + jQ in rectangular coordinates
arctan(Q/P) = ph ang in deg
cos (ph ang) = cos (arctan(Q/P)) = pf

P = S x cos(ph ang) = S x pf
Q = S x sin(ph ang) = S x sin(arccos(pf))
|S| = sqrt(P^2 + Q^2)
S = magnitude / ph ang in deg= |S| /arctan(Q/P) in polar, and in this case phasor notation

by convention
positive Q = lagging pf or absorbing reactive power, L
negative Q = leading pf or suppling reactive power, C

now, everything is coming to a head.

my regards

Chelny
 

Chelny

Member
Location
Russia
@ Engenieur,

there are couple of theoretical questions:


  • that calculated pf =0.85, it was calculated for max rated current. So I would like to know if it impacts so badly on pf within whole speed range. I other words is it true that ABB's guys work says that pf drops so critically at low speed range?
  • Also I have some doubts that considered by us (e.g. size 75) has so bad pf value at low speed range (reffering to that work). This is Siemens product, after all, and this is 21th century.

Please your opinion.

regards,

Chelny
 

Ingenieur

Senior Member
Location
Earth
What would be the point of doing so with a system designed for variable speed operation and we have all agreed that PF varies with speed?

who said it was designed for variable speed operation?

and over what range?
what if the range is 90-100%?

he asked
pf?
how it varies with speed?
and for docs

NONE of which you have addressed
you have only addressed me, lol

if we know the max is 0.85 at rated speed
and is 0 at 0 speed
and linear between two points
anything can be calculated
but unless you calc the max, you can't do anything
 

Besoeker

Senior Member
Location
UK
who said it was designed for variable speed operation?

and over what range?
what if the range is 90-100%?

he asked
pf?
how it varies with speed?
and for docs

NONE of which you have addressed
you have only addressed me, lol

if we know the max is 0.85 at rated speed
and is 0 at 0 speed
and linear between two points
anything can be calculated
but unless you calc the max, you can't do anything
Stop bickering.
His point has been addressed.
 

Besoeker

Senior Member
Location
UK
@ Engenieur,

there are couple of theoretical questions:


  • that calculated pf =0.85, it was calculated for max rated current. So I would like to know if it impacts so badly on pf within whole speed range. I other words is it true that ABB's guys work says that pf drops so critically at low speed range?
  • Also I have some doubts that considered by us (e.g. size 75) has so bad pf value at low speed range (reffering to that work). This is Siemens product, after all, and this is 21th century.

Please your opinion.

regards,

Chelny
The 0.85 would relate to speed, not loading. Critically low? Just low. I don't know why that would be critical.
It is low at low speed. That's what the usual phase control configuration gets you.

We, Cortina*, designed, built, and installed what we designated as UPF drives. Essentially it was a fixed DC buss from a 24-pulse uncontrolled rectifier and DC-DC choppers. These were mostly in the 100-400kW range but we used the same technique on slip recovery drives up to several MW. Yes, mods this strays off the original topic but it illustrates what can be done to mitigate poor power factor issues that arise from phase control drive systems.

*this not promoting a product. Cortina is no longer.
 

Ingenieur

Senior Member
Location
Earth
@ Engenieur,

there are couple of theoretical questions:


  • that calculated pf =0.85, it was calculated for max rated current. So I would like to know if it impacts so badly on pf within whole speed range. I other words is it true that ABB's guys work says that pf drops so critically at low speed range?
  • Also I have some doubts that considered by us (e.g. size 75) has so bad pf value at low speed range (reffering to that work). This is Siemens product, after all, and this is 21th century.

Please your opinion.

regards,

Chelny


it looks linear 0-0.85 from 0-100% speed
contact the supplier to see if they can give you more data, they likely have it

we'll, that is inherent in the design of the system
what speed range will you operate? what turn down ratio? eg speed = 33%-100% = 3:1 turndown
 

Besoeker

Senior Member
Location
UK
it looks linear 0-0.85 from 0-100% speed
contact the supplier to see if they can give you more data, they likely have it

we'll, that is inherent in the design of the system
what speed range will you operate? what turn down ratio? eg speed = 33%-100% = 3:1 turndown
See my example for paper machines.
 
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