Star functions

The star functions use the phase voltages and phase currents to calculate the different power values.

Arguments

'u1','u2','u3'	Phase voltages (Connection voltage = Sqrt(3) * phase voltage)
'i1','i2','i3'	Phase currents
'i4'	Neutral line
'Frequency'	Fundamental frequency

These functions are typically applied to a star grid but they can be applied to any grid in which the phase voltages and currents are measurable.

StarCollectiveUeff('u1','u2','u3','Frequency'=50)

Calculates the collective effective voltage in a star grid:

U_{x_eff}: the effective value of phase voltage u_x

u₄ = u₁ + u₂ + u₃

StarCollectiveIeff('i1','i2','i3','i4','Frequency'=50)

Calculates the collective effective current in a star grid:

I_x,eff : the effective value of the line current i_x

StarActiveP('u1','u2','u3','i1','i2','i3','Frequency'=50)

Calculates the active power in a star grid:

N : Number of samples in a period

u_x: Voltage of phase x

i_x: Current of phase x

StarApparentP('u1','u2','u3','i1','i2','i3','i4','Frequency'=50)

Calculates the apparent power in a star grid:

U_eff : the collective effective voltage

I_eff : the collective effective current

StarReactiveP('u1','u2','u3','i1','i2','i3','i4','Frequency'=50)

Calculates the reactive power in a star grid:

S : apparent power

P : active power

StarReactivePS('u1','u2','u3','i1','i2','i3','Frequency'=50)

Calculates the signed reactive power Q_S in the star grid.

StarActivePFactor('u1','u2','u3','i1','i2','i3','i4','Frequency'=50)

Calculates the active power factor in a star grid:

S : apparent power

P : active power

StarReactivePFactor('u1','u2','u3','i1','i2','i3','i4','Frequency'=50)

Calculates the reactive power factor in a star grid:

Q : reactive power

P : active power

StarReactivePFactorS('u1','u2','u3','i1','i2','i3','Frequency'=50)

Calculates the signed reactive power factor in a star grid:

Q_S : signed reactive power

P : active power