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[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

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