Power Electronics Tutorial
Power Semiconductor Devices
Phase Controlled Converters
DC to DC Converters
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Power Semiconductor Devices
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Performance Parameters
Power Electronics - Performance Parameters
It is important to determine the performance parameters for different converters whose topologies can be single phase or multi-phase.
Assumptions
The devices used are ideal, that is, they do not have any losses
The devices have resistive loads
![Performance Parameters](/power_electronics/images/performance_parameters.jpg)
DC Voltage on Load
$$V_{DC}=frac{1}{T} int_{0}^{T}V_{L}left ( t ight )dt$$RMS Voltage on Load
$$V_{L}=sqrt{frac{1}{T}}int_{0}^{T}V_{L}^{2}left ( t ight )dt$$Form Factor
$$FF=frac{V_{L}}{V_{DC}}$$Ripple Factor
$$RF=frac{sqrt{V_{L}^{2}-V_{DC}^{2}}}{V_{DC}}=sqrt{FF^{2}-1}$$Efficiency(Rectification Factor)
$$eta =frac{P_{DC}}{P_{L}+P_{D}}$$Where the above are defined as −
$P_{DC}=V_{DC} imes I_{DC}$
$P_{L}=V_{L} imes I_{L}$
$P_{D}=R_{D} imes I_{L}^{2}$($P_{D}$ is the rectifier losses and $R_{D}$ the resistance)
$$eta =frac{V_{DC}I_{DC}}{left ( V_{L}I_{L} ight )+left ( R_{D}I_{L}^{2} ight )}=frac{V_{DC}^{2}}{V_{L}^{2}} imes frac{1}{1+frac{R_{D}}{R_{L}}}$$But $R_{D}=0$
Therefore,
$$eta =left ( frac{V_{DC}}{V_{L}} ight )^{2}=left ( frac{1}{FF} ight )^{2}$$Transformer Utipzation Factor
$$TUF=frac{P_{DC}}{VA :Rating :of :the :Transformer }=frac{P_{DC}}{frac{VA_{p}+VA_{s}}{2}}$$VAp and VAs are the primary and secondary power ratings of the transformer.
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