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8 power and energy results, 9 peak voltage and current, 10 power offset – Cirrus Logic CS5464 User Manual

Page 16: Figure 5. low-rate calculations, See figures, Figure 5, Cs5464

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CS5464

16

DS682F3

4.8 Power and Energy Results

The instantaneous voltage and current samples are
multiplied to obtain the instantaneous power (P1, P2)
(see

Figure 3

and

4

). The product is then averaged over

N

conversions to compute active power (P1

AVG

,

P2

AVG

).

Apparent power (S1, S2) is the product of RMS voltage
and current as shown:

Power factor (PF1, PF2) is active power divided by ap-
parent power as shown below. The sign of the power
factor is determined by the active power.

Wideband reactive power (Q1

WB

, Q2

WB

) is calculated

by doing a vector subtraction of active power from ap-
parent power.

Quadrature power (Q1, Q2) are sample rate results ob-
tained by multiplying instantaneous current (I1, I2) by in-
stantaneous quadrature voltage (V1Q, V2Q) which are
created by phase shifting instantaneous voltage (V1,
V2

) 90 degrees using first-order integrators. (see

Figure

3

and

4

). The gain of these integrators is inversely relat-

ed to line frequency, so their gain is corrected by the Ep-
silon

register, which is based on line frequency.

Reactive power (Q1

AVG

, Q2

AVG

) is generated by inte-

grating the instantaneous quadrature power over N
samples.

4.9 Peak Voltage and Current

Peak current (I1

PEAK

, I2

PEAK

) and peak voltage

(V1

PEAK

,

V2

PEAK

) are the largest current and voltage

samples detected in the previous low-rate interval.

4.10 Power Offset

The power offset registers, P1

OFF

(P2

OFF

) can be used

to offset erroneous power sources resident in the sys-
tem not originating from the power line. Residual power
offsets are usually caused by crosstalk into current
paths from voltage paths or from ripple on the meter or
chip’s power supply, or from inductance from a nearby
transformer.

These offsets can be either positive or negative, indicat-
ing crosstalk coupling either in phase or out of phase
with the applied voltage input. The power offset regis-
ters can compensate for either condition.

To use this feature, measure the average power at no
load using either Single or Continuous Conversion com-
mands. Take the measured result (from the P1

AVG

(P2

AVG

) register), invert (negate) the value and write it

to the associated power offset register, P1

OFF

(P2

OFF

).

V1

ACOFF

(V2

ACOFF

)

I1

ACOFF

(I2

ACOFF

)

P1

OFF

(P2

OFF

)

Figure 5. Low-rate Calculations

S

V

RMS

I

RMS

=

PF

P

ACTIVE

S

----------------------

=

Q

WB

S

2

P

ACTIVE

2

=