Voltage Source (Three-Phase)
An ideal three-phase voltage source with additional harmonics.
blockType: AcausalElectricPowerSystems.Sources.ThreePhaseVoltage
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Description
Block Voltage Source (Three-Phase) simulates either an ideal three-phase voltage source or a three-phase voltage source with additional harmonics. The configuration is set by the Source harmonics parameter.
If the Source Impedance parameter is set to None, block Voltage Source (Three-Phase) simulates an ideal three-phase voltage source that maintains a sinusoidal voltage of a given magnitude at its terminals, regardless of the current flowing through it.
The source is connected by a star, the port n corresponds to the neutral. Port ~ is a three—phase port representing three phases: a, b and c. The current is positive if it flows from neutral to phase, and the voltage on each phase is equal to the difference between the terminal voltage and the neutral voltage., .
The equations
The output voltage is determined by the following equations:
,
where:
— amplitude phase voltage.
, , — appropriate phase voltages.
— frequency.
— phase shift.
— the time.
In the case of a three-phase voltage source with additional harmonics, the output voltage is determined by the following equations:
,
where:
is a string vector containing the amplitude voltages of the fundamental and higher harmonics.
— RMS line voltage.
— vector is a string of harmonic coefficients. The first element is 1, which corresponds to the fundamental harmonic.
— vector is a string of harmonic numbers. The first element is 1, which corresponds to the fundamental harmonic.
, , — appropriate phase voltages.
— vector column of harmonic frequencies. The first element is the fundamental frequency.
— vector column of phase shifts of harmonics. The first element is the phase shift of the fundamental harmonic.
— vector column of harmonic phase shifts. The first element is 120°.
— the time.
When selecting a value X/R ratio for the Source Impedance parameter, the equations for the source impedance will be as follows:
,
where:
— the specified short-circuit power level.
— the specified X/R source ratio.
— the calculated resistance of the source.
— the calculated reactance of the source.
— the calculated inductance of the source.
Parameters
Main
Rated voltage (phase-to-phase RMS), V — RMS line voltage
sqrt(2) In (default) | sqrt(3) * 100
RMS linear (interphase) voltage.
Phase shift, deg — phase shift
0.0 (default)
Phase shift in angular units.
Frequency, Hz — frequency of the current
50.0 Hz (default)
Current frequency.
Source impedance — the method of setting the impedance of the source
X/R (default) | None | Series R | Series L | Series RL
Specifies the method for setting the source impedance. The default option X/R Ratio.
Variants:
-
None -
X/R -
Series R -
Series L -
Series RL
Short-circuit power level, V*A — short-circuit power
1e6 In*A (default)
Short circuit power.
Source X/R ratio — ratio of reactance to active
15 (default)
Complex resistance, that is, the ratio of reactance to active resistance.
R, Ohm — resistance of the pass source:q[<br>] 0.01 Ohms (default)
Ohmic resistance of the source.
L, H — inductance of the pass source:q[<br>] 3.97e-4 Gn (default)
The inductance of the source.
Harmonics
Source harmonics — generation of higher harmonics
None (by default) | Generate
None — there are no higher harmonics, Generate — added to the main one. Default value — None.
Harmonic orders — harmonic orders of
[5, 7, 11, 13] ( by default)
Vector is a string of orders of higher harmonics; positive integers.
Harmonic magnitude to peak magnitude ratios — the ratio of the amplitudes of the higher harmonics to the amplitude of the main
[0.1,0.1,0.1,0.1] ( by default)
A vector is a string of ratios of the amplitudes of the higher harmonics to the amplitude of the fundamental.