πŸ“‹ Case Study

Substation Design: 345/138 kV Auto-Transformer Load Flow & Tap Optimization

Excessive circulating current between parallel windings causing 12Β°C above nameplate winding temperature

πŸ—οΈ Project Overview

Upgraded interconnection substation linking two RTOs in Midwest with 1200 MVA auto-transformer

🎯 Challenge

Excessive circulating current between parallel windings causing 12Β°C above nameplate winding temperature

πŸ”§ Design Approach

Load flow-driven tap schedule optimization + harmonic-aware OLTC control logic

πŸ“ Design Diagram

345 kV138 kVAuto-TransformerOLTCTap Ξ” = Β±0.25%Ξ”Taps Γ— Vβ‚š / (Zβ‚› Γ— N)= 412 A β†’ +12Β°CCirculating CurrentWinding OvertempLoad Flow-Driven Tap Optimizationargmin Ξ£(IΒ²R + CoreLoss)

AI-generated project design illustration

πŸ“ Key Calculations

Circulating Current Due to Tap Mismatch

(Ξ”Taps Γ— V_primary) / (Z_series Γ— N)
Result: 412 A
Accounted for 68% of total winding loss

Optimal Tap Delta for Min Loss

argmin Ξ£(IΒ²R + CoreLoss)
Result: Β±0.25%
Reduced hotspot temp by 9.4Β°C

πŸ“Š Results

Winding temperature normalized to 65Β°C rise; extended transformer life by 18 years per IEEE C57.91

πŸ’‘ Lessons Learned

  • β€’Auto-transformer circulating currents scale non-linearly with tap difference β€” small mismatches cause large losses
  • β€’OLTC algorithms must integrate real-time load flow feedback, not fixed schedules

βœ… Key Takeaways

  • 1Auto-transformer circulating currents scale non-linearly with tap difference β€” small mismatches cause large losses
  • 2OLTC algorithms must integrate real-time load flow feedback, not fixed schedules