[James_H._Harlow]_Electric_Power_Transformer_Engin(BookSee.org)
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TABLE 2.8.1 Typical Sizing Worksheet for a Constant-Voltage <strong>Transformer</strong><br />
FIGURE 2.8.9 Typical performance of a constant-voltage transformer (CVT) as a function of load; as the CVT load<br />
increases, the ability of the CVT to regulate its output voltage decreases<br />
there are sizing and fault-protection issues associated with proper application of the CVT, particularly<br />
when the output loads demand high-inrush starting currents. Specific issues that will be addressed in<br />
the subsequent sections include:<br />
• Relationship between CVT input and output voltage under steady-state and dynamic supply<br />
conditions<br />
• Relationship between CVT sizing and load size to enhance sag tolerance of a given load<br />
• Impact of load inrush current on CVT sizing; output performance during various loading conditions<br />
• Effect of different vendor designs in enhancing voltage-sag ride-through; three-phase designs<br />
versus single-phase designs<br />
2.8.2.1 Application Considerations — Sizing Guidelines<br />
Because the type of loads connected to a single CVT can range widely, the startup and steady-state<br />
operational characteristics of each load must be well understood before deciding on the appropriate<br />
power rating of a CVT. A load draws inrush current when it is first turned on or when it cycles on and<br />
off during normal process operation. If a CVT is sized [8] without considering the inrush currents of all<br />
connected loads, the CVT may be inadequately sized for the inrush current. Thus, during the startup or<br />
cycling of a connected load, the CVT output voltage may sag, causing other sensitive loads connected to<br />
the same CVT output voltage to shut down.<br />
The ability of a CVT to regulate its output voltage is generally based upon two characteristics of the<br />
connected loads, both of which are related to current and both of which must be determined to properly<br />
size a CVT. The first characteristic is the amount of steady-state current drawn by all connected loads<br />
during their normal operation. As shown in Figure 2.8.9, the lower the ratio between the actual current<br />
drawn by the connected loads and the rated current of the CVT, the better the CVT can regulate its<br />
output voltage during dynamic load-switching events. As an illustration, a 1-kVA CVT loaded to 1 kVA<br />
will not mitigate voltage sags nearly as well as the same CVT loaded to 500 VA, and performance is even<br />
better if the same 1-kVA CVT is only loaded to 250 VA. Moreover, according to results of CVT testing<br />
at the <strong>Electric</strong> <strong>Power</strong> Research Institute’s <strong>Power</strong> Electronics Application Center (known as EPRI PEAC),<br />
a CVT rated at less than 500 VA may not be able to handle even moderate inrush current. Therefore, a<br />
minimum CVT rating of 500 VA is recommended.<br />
The second characteristic of a CVT load is the load’s inrush current. Values for inrush current and<br />
steady-state current of the connected loads will enable a CVT to be properly sized.<br />
CVT Circuit or Load<br />
Measured Steady-State Current,<br />
A rms<br />
Measured Peak Inrush<br />
Current, A (1 msec)<br />
Programmable logic controller 0.16 14.8<br />
Programmable logic controller 0.36 10.8<br />
5-V, 12-V power supply 1.57 29.1<br />
24-V power supply 1.29 14.4<br />
NEMA size 3 motor starter 0.43 9.9<br />
NEMA size 0 motor starter 0.13 3.1<br />
Ice-cube relay 0.05 0.2<br />
Master control relay 0.09 1.8<br />
Computational Section<br />
Sum of steady-state rms currents 4.08<br />
Circuit voltage 120<br />
Steady-state load VA = 490 2.5 = 1225<br />
Highest peak inrush current 29.1<br />
Circuit voltage 120<br />
Inrush load VA = 3492 0.5 = 1746<br />
Note: Use the larger of the steady-state load VA (1225 in this example) and the inrush load VA (1746 in this example)<br />
to determine the CVT size.<br />
A procedure to find the proper CVT size is described below:<br />
1. Measure or estimate the total steady-state current drawn by the load and multiply this value by<br />
the circuit voltage to get steady-state VA. For optimum regulation during input-voltage sags, the<br />
VA rating of the CVT should be at least 2.5 times the steady-state VA calculated.<br />
2. Measure the highest peak inrush current and multiply this value by the circuit voltage to get the<br />
worst-case inrush VA for all loads. For good sag regulation of the CVT output voltage during load<br />
starting or cycling, the VA rating of the CVT should be at least half of the maximum inrush VA.<br />
Recommended size of the CVT is based upon the larger of the two VA-rating calculations.<br />
3. Add together all the steady-state currents and then multiply the resulting value by the circuit<br />
voltage to get the combined steady-state VA of all CVT loads. Then, select the highest peak-inrushcurrent<br />
measurement and multiply this value by the circuit voltage to get the worst-case inrush<br />
VA for all loads. For optimum regulation during input-voltage sags, the VA rating of the CVT<br />
should be at least 2.5 times the steady-state VA. For example, if the steady-state VA calculation is<br />
490 VA, then the recommended size of the CVT would be 1225 VA or more. For good sag regulation<br />
of the CVT output voltage during load starting or cycling, the VA rating of the CVT should be at<br />
least half of the maximum inrush VA calculated. For example, if the maximum inrush VA is 3.49<br />
kVA, then the optimum size of the CVT would be 1.75 kVA or more. A typical sizing worksheet<br />
for CVTs with measured data and calculations is shown in Table 2.8.1.<br />
2.8.2.2 Application Considerations — Output Performance Under Varying Supply<br />
Conditions<br />
A series of structured tests have been performed using a 1000-VA, 120-V, single-phase CVT. The following<br />
results of these tests provide insight on the operational characteristics of CVTs. These tests were designed<br />
to characterize the regulation performance of a constant-voltage transformer during amplitude and<br />
frequency variations in the ac input voltage and to determine its ability to filter voltage distortion and<br />
notching. The tests were performed at the EPRI PEAC power-quality test facility [9]. The CVT was<br />
energized for more than 30 min before each test to stabilize its temperature.<br />
2.8.2.2.1 Performance: Regulation<br />
The CVT was tested for its ability to regulate variations in input voltage amplitude at both half- and fullload<br />
levels for the three load types given in Table 2.8.2. The mixed nonlinear load was a combination of<br />
purely resistive loads and a 187-VA nonlinear load with a 0.85 power factor, resulting in a composite<br />
© 2004 by CRC Press LLC<br />
© 2004 by CRC Press LLC