ADE7169ASTF16 datasheet(56/140 Pages) AD

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ADE7169F16

Preliminary Technical Data

Rev. PrD | Page 56 of 140

LINECYC

VALUE

CYCEND IRQ

LWATTHR REGISTER

Figure 43. Energy Accumulation when LINECYC changed

From Equations 13 and 18,

E(t) =

∫

⎪

⎭

⎪⎪

⎪

⎬

⎫

⎪

⎩

⎪⎪

⎪

⎨

⎧

⎟

⎠

⎞

⎜

⎝

⎛

−

cos

(2πft)dt

(20)

where:

n is an integer.

T is the line cycle period.

Since the sinusoidal component is integrated over an integer

number of line cycles, its value is always 0. Therefore,

E =

∫

VIdt

+ 0

(21)

E(t) = VInT

(22)

WDIV[7:0]

WATTOS[15:0]

WGAIN[11:0]

LPF1

LWATTHR [23:0]

ACCUMULATE ACTIVE

ENERGY IN INTERNAL

THE LWATTHR REGISTER

AT THE END OF LINCYC

HALF LINE CYCLES

OUTPUT

FROM

LPF2

FROM VOLTAGE

CHANNEL

ADC

LINCYC [15:0]

ZERO CROSS

DETECTION

CALIBRATION

CONTROL

DIGITAL TO FREQUENCY

CONVERTER

Figure 44. Line Cycle Active Energy Accumulation

Note that in this mode, the 16-bit LINCYC register can hold a

maximum value of 65,535. In other words, the line energy

accumulation mode can be used to accumulate active energy for

a maximum duration over 65,535 half line cycles. At 60 Hz line

frequency, it translates to a total duration of 65,535/120 Hz =

546 seconds.

REACTIVE POWER CALCULATION

Reactive power is defined as the product of the voltage and

current waveforms when one of these signals is phase-shifted by

90°. The resulting waveform is called the instantaneous reactive

power signal. Equation 25 gives an expression for the instanta-

neous reactive power signal in an ac system when the phase of

the current channel is shifted by +90°.

v(t) =

)

sin(

ωt

(23)

i(t) =

)

sin(

⎟

⎠

⎞

⎜

⎝

⎛

′

sin

)

(

(24)

where:

θ is the phase difference between the voltage and current

channel.

V is the rms voltage.

I is the rms current.

q(t) = v(t) × i’(t)

(25)

ADE7169ASTF16 数据表(PDF) 56 Page - Analog Devices

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