Three-phase rectifier#

The block simulates the operation of a three-phase rectifier. The block modelis simplified and is based on the external characteristic of a three-phaseuncontrolled rectifier built on a three-phase rectification bridge circuit. The output value of the block is the average value of the rectified voltage.

On the AC side, the block is a controlled load, active and reactiveresistances of which are determined by the following expressions (1):

\[ R=\frac{U^{2}}{S\mathrm{\cdot }\mathrm{c}\mathrm{o}\mathrm{s}\left(\frac{\gamma }{2}\right)}; \]

(1)#\[ X=\frac{U^{2}}{S\mathrm{\cdot }\mathrm{s}\mathrm{i}\mathrm{n}\left(\frac{\gamma }{2}\right)}. \]

where \(U\) - is the effective linear value of the input voltage, while S totalpower and switching angle are determined by the rectifier load (2):

\[ \gamma =\mathrm{a}\mathrm{r}\mathrm{c}\mathrm{c}\mathrm{o}\mathrm{s}\left(1-\frac{x_{a}\mathrm{\cdot }I_{d}}{\frac{\sqrt[]{2}}{2}\mathrm{\cdot }U\mathrm{\cdot }k_{t}}\right) \]

(2)#\[ S=2\pi \mathrm{\cdot }P_{d}\mathrm{\cdot }\frac{\sqrt[]{\frac{2}{3}-\frac{\gamma }{3\cdot \pi }}}{\sqrt[]{6}\mathrm{\cdot }\left(1+\mathrm{c}\mathrm{o}\mathrm{s}\gamma \right)} \]

Resistance and coefficient of the transformer included in the rectifierare determined on the basis of the rectifier rated parameters (3):

\[ k_{t}=\frac{2\pi \mathrm{\cdot }U_{\mathrm{н}\mathrm{о}\mathrm{м}\mathrm{D}\mathrm{C}}}{3\sqrt[]{3}\mathrm{\cdot }U_{\mathrm{н}\mathrm{о}\mathrm{м}\mathrm{A}\mathrm{C}}\mathrm{\cdot }\left(1+\mathrm{c}\mathrm{o}\mathrm{s}\gamma _{\mathrm{н}\mathrm{о}\mathrm{м}}\right)}; \]

(3)#\[ x_{a}=\frac{3\sqrt[]{2}\mathrm{\cdot }U_{\mathrm{н}\mathrm{о}\mathrm{м}\mathrm{A}\mathrm{C}}\mathrm{\cdot }k_{t}-\pi \mathrm{\cdot }U_{\mathrm{н}\mathrm{о}\mathrm{м}\mathrm{D}\mathrm{C}}}{3\mathrm{\cdot }\frac{P_{\mathrm{н}\mathrm{о}\mathrm{м}}}{U_{\mathrm{н}\mathrm{о}\mathrm{м}\mathrm{D}\mathrm{C}}}}. \]

\(\gamma _{\mathrm{н}\mathrm{о}\mathrm{м}}\) value correspondingto the rated mode is found by solution of the following equation (4):

(4)#\[ \frac{2\cdot \pi }{\sqrt[]{6}}\mathrm{\cdot }\eta _{\mathrm{н}\mathrm{о}\mathrm{м}}\mathrm{\cdot }\mathrm{c}\mathrm{o}\mathrm{s}\phi _{\mathrm{н}\mathrm{о}\mathrm{м}}\mathrm{\cdot }\sqrt[]{\frac{2}{3}-\frac{\gamma _{\mathrm{н}\mathrm{о}\mathrm{м}}}{3\cdot \pi }}-1-\mathrm{c}\mathrm{o}\mathrm{s}\gamma _{\mathrm{н}\mathrm{о}\mathrm{м}}=0. \]

1. Properties#

Property	Default value	Description	Units of measurement
Rated DC voltage	220	–	V
Rated output power	2000	–	W
Rated input voltage	400	–	V
Rated power factor	0.8	–	–
Efficiency	0.9	–	–

2. Inputs and outputs#

Parameters	Input/Output	Description	Units of measurement	Port type
Input voltage	Input	–	V	Elecrocity
Output voltage	Output	–	V	Voltage

In order to see the connection capabilities of the block, you need to go to page Description of block ports