background image

Current (RMS):

I

1

=

v
u
u
t

1

n

n

X

i

=1

I

2

1

i

where:

i

............................. sample index

n

............................ number of samples per cycle of measurement (128)

U

1

,i

,

U

2

,i

,

I

1

,i

........ individual samples of voltage and current

3.3.3

Evaluation of Powers and Power Factor (PF)

Powers and power factors are evaluated by the following relations. The formulas apply to the star type of
connection.

Active power:

P

1

=

1

n

n

X

i

=1

U

1

i

×

I

1

i

Reactive power:

Q

1

=

N

X

k

=1

U

1

,k

×

I

1

,k

×

sin

4

ϕ

1

,k

where:

k

................... index of the order of each harmonic

N

.................. highest harmonic (63)

U

1

,k

,

I

1

,k

....... k-th harmonic of voltage and current (1

st

phase)

ϕ

1

,k

............ angle between

U

1

,k

,

I

1

,k

(1

st

phase)

Apparent power:

S

1

=

U

1

×

I

1

Distortion power:

D

1

=

q

S

2

1

P

2

1

Q

2

1

Power factor:

P F

1

=

|

P

1

|

S

1

Three-phase active power:

3

P

=

P

1

+

P

2

+

P

3

Three-phase reactive power:

3

Q

=

Q

1

+

Q

2

+

Q

3

Three-phase apparent power:

3

S

=

S

1

+

S

2

+

S

3

Three-phase distortion power:

3

D

=

p

3

S

2

3

P

2

3

Q

2

Three-phase power factor:

3

P F

=

|

3

P

|

3

S

18

Содержание SMC 144

Страница 1: ...KMB systems s r o Dr M Hora kove 559 460 06 Liberec 7 Czech Republic Tel 420 485 130 314 Fax 420 482 736 896 E mail kmb kmb cz Web www kmb cz SMC 144 Power Analyzer Operating Manual Version 1 1...

Страница 2: ...C 14 3 Functional Description 16 3 1 Instrument Construction 16 3 2 Control 16 3 2 1 Machine Status 16 3 2 2 LED Codes 17 3 3 The Method of Measurement and Evaluation of Individual Variables 17 3 3 1...

Страница 3: ...neutral input N four inputs for through hole option P or clamp on option S current sensors with nominal current range from 5 to 600 A I1 I2 I3 I4 two digital inputs option D single relay or impulse ou...

Страница 4: ...ws regular data downloads from devices supporting Modbus into its own memory General Oscillograms GO Adds a feature that allows recording of raw signal samples Ripple Control Signals RCS Allows archiv...

Страница 5: ...f external modules D two digital inputs M MxBus interface N without expanding module E Ethernet interface Split core options S 5 5 A S T5 T5 A S O5 O5 A S 65 65 A S 5 5 A S 75 75 A ST T A Snnn with lo...

Страница 6: ...n a PC Connect SMC 144 to a computer via RS 485 to USB converter or Ethernet Switch on auxiliary voltage powering the SMC 144 Supply voltage will be indicated by the LED PWR blinking green Than the un...

Страница 7: ...program reads the settings from the connected device and displays it in the summary window figure 3 Figure 3 ENVIS Daq connected instrument Category Instrument Settings includes a number of parameter...

Страница 8: ...values of power and current and some of the data interpretation functions in ENVIS software The setting can moreover be adjusted later If the value of PNOM at the mea sured point can not be determined...

Страница 9: ...orts Setting of ports on whose the device is listening for communication Default KMB Long message port is 2101 default Modbus port is 502 and default Web server port is 80 Ev ery port can be changed t...

Страница 10: ...ency instead of direct energy values Window Type Window Length Method of an averaging of the average active power PAVGMAX E You can choose a fixed window Fixed or a floating window Floating In additio...

Страница 11: ...nstrument configuration c ENVIS Daq instrument archive configuration d ENVIS Daq instrument electricity meter configu ration e ENVIS Daq instrument I O configuration f ENVIS Daq instrument time config...

Страница 12: ...61010 1 Internal power supply is galvanically isolated from internal circuits The measured voltages are connected to the terminals L1 L2 L3 L4 the common terminal to connect the neutral wire to being...

Страница 13: ...ry RS 485 line uses terminals A B with shielding at terminal G of COM1 block The final points of the communication line have to be fitted with terminating resistance Digital Inputs optional SMC 144 ca...

Страница 14: ...st comply with terminal labels and example picture There is an external relay controlled by digital output in picture 8 Again there must be external voltage source in series When impulse output is use...

Страница 15: ...is can be database or file several formats The CEA file data can be imported into the database and vice versa The check boxes in Archives to Download determines which specific archive s you want to do...

Страница 16: ...interface optional or two digital inputs optional 7 RJ 45 ethernet connector optional 8 Current inputs for externally connected current sensors 9 Voltage inputs for four measured voltages 3 2 Control...

Страница 17: ...ry 10 seconds The measured signal is a line voltage of first phase signal modified with a low pass filter Frequency is assessed as a percentage of the number of full cycles of the network established...

Страница 18: ...on Active power P1 1 n n X i 1 U1i I1i Reactive power Q1 N X k 1 U1 k I1 k sin 4 1 k where k index of the order of each harmonic N highest harmonic 63 U1 k I1 k k th harmonic of voltage and current 1s...

Страница 19: ...nt 4 1 The angle between a voltage and the corresponding current phasors of the i th order 4 i Total harmonic distortion of voltage THDU1 1 U1h1 v u u t 63 X i 2 U1h2 i 100 Total harmonic distortion o...

Страница 20: ...ecorded by default for all selected parameters Maximum minimum values can be separately selected to be recorded This feature is off by default to save free space Aggregation of each interval starts at...

Страница 21: ...uctor diameter option P JP3W 6 mm JP5W 13 mm JP6W 19 3 mm max conductor diameter option S JC10F 10 mm JC16F 16 mm JC24F 24 mm Frequency measuring range 42 69 Hz uncertainty 10 mHz Active power PREF 23...

Страница 22: ...gs 100 VDC 300 mA Communication interface type galvanically isolated RS 485 optional interface type M Bus optional interface type Ethernet 10Base T Other specifications operating temperature 25 60 C s...

Страница 23: ...to prevent damage during transit A description of the problem or its symptoms must be delivered together with the product If a warranty repair is claimed the warranty certificate must be sent in In c...

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