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To find the RMS current rating required for the SCRs in a bipolar HVDC transmission system with two six-pulse converters rated at 1000 MW and ±200 kV, we can use the following relationship.
For a six-pulse converter, the output power (P) is given by the formula:
[ P = frac{3 sqrt{3}}{2} V_{dc} I_{dc} ]
Where:
– ( P ) = output power in watts (1000 MW = ( 1000 times 10^6 ) W)
– ( V_{dc} ) = DC voltage (±200 kV = 200,000 V)
– ( I_{dc} ) = DC current (the current we want to find)
### Step 1: Find the DC current (I_dc)
Rearranging the formula to solve for ( I_{dc} ):
[ I_{dc} = frac{P}{frac{3 sqrt{3}}{2} V_{dc}} ]
Substituting the values in:
[ I_{dc} = frac{1000 times 10^6}{frac{3 sqrt{3}}{2} times 200,000} ]
Calculating ( frac{3 sqrt{3}}{2} ):
[ frac{3 sqrt{3}}{2} approx 2.598