Steady State Power Flow Calculations

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Steady State Power Flow Calculations

• Kevin Schneider, Chen-Ching Liu
• University of Washington
• Department of Electrical Engineering

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Power Flow Information

• Method used Newton-Raphson

Assumptions 1) Constant voltage at the shore
stations 2) Constant direct current power
loads 3) Constant system topology
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Convergence Criteria

• Sum of the differences of all node voltages
  between two iterations

Example
Total Difference .2.3.2.1.4 1.2V
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Voltage Collapse

• If PL exceeds the point of maximum power transfer
  the powerflow solution will not converge.
• Operation beyond the Maximum Power Transfer
  Region must be avoided

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Sample Power Flow Calculations

• Using the shown network topology
• 1) All nodes at 2.65 kW
• 2) All nodes at 4.3 kW
• 3) All nodes at 4.8 kW

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Results 1 2650Watts per Node
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Results 2 4300 Watts per Node
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Results 3 4800 Watts per Node
Voltage collapse occurs the powerflow solution
does not converge
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Questions?