Modeling a Variable Frequency Drive
For AC studies in Power*Tools, the VFD model can be selected by clicking on VFD component from the component toolbar.
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)
This component will be feeding an AC load. The load that VFD feeds will determine the input active power of it. In other words, the input active power is equal to the output active power.
In the following example a VFD is feeding a 300 kW motor.
![](data:image/png;base64,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)
The PF into the VFD will have the same PF as the load it feeds, as long as the input line reactor is zero. If a value is entered for the VFD line reactor, the VFD input reactive power will increase and consequently, the input power factor will change.
The above figure demonstrates how the input and output voltages and powers are related to each other. For the above VFD, the line reactor is 1%. Therefore, a slight difference exists between the input and the output reactive power.
The VFD will also affect the short circuit study results based on the contribution values from the “VFD page 2” section. If the by-pass switch is checked, PTW will by-pass the VFD and only the impedance of the cable will be considered.
Load Flow Study
In the load flow study, the VFD will not affect the power factor of the load, as long as there is no line reactor. The higher the value of the line reactor, the more reactive power the VFD consumes. This changes the VFD input power factor. The input active power of the VFD is equal to that of the load it feeds.
Short Circuit Study
In the short circuit study, the VFD contribution to the fault will be determined by the values entered in the “VFD page 2” section.
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)
The “Regenerative/Four-Quadrant” check box is for VFDs that can work in regenerative mode. If this option is checked, the VFD will supply short circuit contribution to the upstream bus. The contribution amount depends on the value entered in the “3P”, and “SLG” boxes.
If the “100% Let-through on Load Side” box is checked, PTW will allow the VFD to pass the entire short-circuit current to the downstream bus. If this is unchecked, “3P” and “SLG” input fields must be completed. This will determine the amount of the VFD contribution to the downstream fault.
If the “Bypass” switch is checked, the VFD will be shorted. PTW will only consider the impedance of the cable for the VFD. These impedances are to be entered by the user.
Harmonic Study
In a harmonic study, the VFD can be a harmonic source depending on the model, which is selected from the harmonic library. The harmonic source can be assigned in the “Harmonic Source” sub view of the VFD.
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)
This component will be feeding an AC load. The load that VFD feeds will determine the input active power of it. In other words, the input active power is equal to the output active power.
In the following example a VFD is feeding a 300 kW motor.
The PF into the VFD will have the same PF as the load it feeds, as long as the input line reactor is zero. If a value is entered for the VFD line reactor, the VFD input reactive power will increase and consequently, the input power factor will change.
The above figure demonstrates how the input and output voltages and powers are related to each other. For the above VFD, the line reactor is 1%. Therefore, a slight difference exists between the input and the output reactive power.
The VFD will also affect the short circuit study results based on the contribution values from the “VFD page 2” section. If the by-pass switch is checked, PTW will by-pass the VFD and only the impedance of the cable will be considered.
Load Flow Study
In the load flow study, the VFD will not affect the power factor of the load, as long as there is no line reactor. The higher the value of the line reactor, the more reactive power the VFD consumes. This changes the VFD input power factor. The input active power of the VFD is equal to that of the load it feeds.
Short Circuit Study
In the short circuit study, the VFD contribution to the fault will be determined by the values entered in the “VFD page 2” section.
The “Regenerative/Four-Quadrant” check box is for VFDs that can work in regenerative mode. If this option is checked, the VFD will supply short circuit contribution to the upstream bus. The contribution amount depends on the value entered in the “3P”, and “SLG” boxes.
If the “100% Let-through on Load Side” box is checked, PTW will allow the VFD to pass the entire short-circuit current to the downstream bus. If this is unchecked, “3P” and “SLG” input fields must be completed. This will determine the amount of the VFD contribution to the downstream fault.
If the “Bypass” switch is checked, the VFD will be shorted. PTW will only consider the impedance of the cable for the VFD. These impedances are to be entered by the user.
Harmonic Study
In a harmonic study, the VFD can be a harmonic source depending on the model, which is selected from the harmonic library. The harmonic source can be assigned in the “Harmonic Source” sub view of the VFD.