Power Calculation Algorithm

Presentation

The algorithms are given for the 3-wattmeter calculation method. The power definitions and calculation are given for a network with harmonics.

Calculated quantities are displayed:

oOn the MicroLogic X display screen, at Home > Measures > Power (total power only)

oWith EcoStruxure Power Commission software

oWith the EcoStruxure Power Device app (total power only)

oOn a remote controller using the communication network

Active Powers

The active power for each phase is calculated as follows:

G-SE-0050995.2.gif 

The total active power is calculated as follows:

G-SE-0054587.2.gif 

Reactive Power

The reactive power with harmonics for each phase is calculated as follows:

G-SE-0050997.2.gif 

The total reactive power is calculated as follows:

oWith vector method:

G-SE-0054591.2.gif 

oWith arithmetic method:

G-SE-0050998.2.gif 

Apparent Power

The apparent power for each phase and total apparent power is calculated as follows:

Sp = (Vp x Ip) where p = 1, 2, 3 (phase)

The apparent power for each phase and total apparent power is calculated as follows:

oWith vector method:

G-SE-0050996.3.gif 

oWith arithmetic method:

G-SE-0054593.2.gif 

ENVT Wiring and Configuration on 3-Pole Circuit Breaker

When installed on a system with distributed neutral, correct ENVT wiring and configuration are necessary to calculate and display correct values per phase.

When installed on a system without distributed neutral, if ENVT is configured to Yes, power values per phase are not relevant.

The following table indicates the displayed and calculated values for each configuration:

Power system

MTZ

ENVT wired

ENVT configured

Ptot

Pp

Qtot

Qp

Stot

PFtot

PFp

VLL

Vavg LL

VLN

Vavg LN

3-phase + neutral

4P

NA

NA

3P

Yes

Yes

3P

Yes

No

NR

NR

NR

NR

NR

3P

No

Yes

ND

ND

ND

ND

ND

3P

No

No

ND

ND

ND

ND

ND

3-phase

3P

Yes

NA

NR

NR

NR

NR

NR

3P

No

NA

ND

ND

ND

ND

ND

   Value is calculated and displayed

NA   Not applicable

NR   Value displayed is not relevant

ND   Value is not displayed