This component is a 3-phase, p-controlled phase locked loop, which generates a ramp signal theta that varies between 0 and 360°, synchronized or locked in phase, to the input voltage Va.
The Phase Vector Technique is used to generate the signal theta. This technique exploits trigonometric multiplication identities to form an error signal that speeds up and slows down the phase-locked oscillator, to match the phase of the input. The phase error (in degrees), as well as the tracked frequency of the input voltage can both be returned as an internal output variables.
The figure below illustrates the block diagram of the phase-locked loop:
Input signals Va, Vb and Vc are the per-unitized, instantaneous voltage of a three-phase electrical system. Gp and Gi are the proportional gain and integral gain respectively. The Park transformation is expressed in matrix form, as shown below. Function tan-1(Vq/Vd) returns the phase angle of the complex number Vd + jVq.
More: |
Name for Identification |
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Text |
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Enter an optional name for this component instance. |
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Proportional Gain |
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REAL |
Variable |
Proportional gain factor |
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Integral Gain |
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REAL |
Variable |
Integral gain factor |
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Base Volts |
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REAL |
Constant |
System base voltage [V] |
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Base Frequency |
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REAL |
Constant |
System base frequency [Hz] |
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Number of Outputs |
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Choice |
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Select an array of 1, 6 or 12 for output to theta |
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Angle Input/Output Mode |
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Choice |
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Select Radians or Degrees |
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Offset Angle to PLL (rad/deg as per Pmode) |
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REAL |
Variable |
The initial offset or 'phase shift' of the PLL output waveform. This value should be input in radians or degrees, according to Angle Input/Output Mode setting [rad] [°] |
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PLL Shadows err for t < TREL |
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REAL |
Variable |
Similar to an initialization time. During this time, the output will be the error signal of the phase locked loop [s] |
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Delta Ramps Lead or Lag Wye Ramps |
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Choice |
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Select Lead or Lag. The selection depends on the connection setting of the Delta winding (i.e. whether it is leading or lagging the Wye winding).
This parameter is enabled only Number of Outputs | n=12 is selected. |
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Upper Tracking Limit |
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REAL |
Variable |
Upper boundary for tracked frequency as a per unit value of base frequency. This should be greater than 1.0. If the value is not greater than 1.0, then a value of 1.2 is assumed. |
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Lower Tracking Limit |
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REAL |
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Lower boundary for tracked frequency as a per unit value of base frequency. This should be between 0.0 and 1.0. If the value is outside this range, then a value of 0.8 is assumed. |
Internal Output VariablesInternal Output Variables
Name for Tracked Frequency |
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REAL |
Output |
Enter a name to monitor the tracked frequency [rad/s] |
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Name for Error |
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REAL |
Output |
Enter a name to monitor the error signal [°] |