QDTB® Трансформатор

Калькулятор системы электроснабжения портовых кранов и металлургии

Проектирование электроснабжения причальных кранов, портового оборудования и дуговых печей — компенсация реактивной мощности ударной нагрузки (SVC/SVG), фильтрация гармоник и проверка провала напряжения при пуске двигателей, с спецификацией и однолинейной схемой.

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Почему этот калькулятор

Краны и дуговые печи являются экстремальными ударными нагрузками: быстрые колебания вызывают мерцание напряжения, а приводы VFD/выпрямители вносят значительные гармоники. Этот калькулятор подбирает трансформатор по средней нагрузке, проверяет провал напряжения при пуске самого мощного привода и определяет размер динамической компенсации реактивной мощности с расстроенной фильтрацией гармоник.

Worked Examples

Example 1 — 4 × 500 kW Quay Cranes (Impact Load, SVC + Harmonics) · FOB $438,818
Port crane / metallurgy power system · 35kV/0.4kV
1,600 kVA transformer
S13-M-1600/35 · impact 2,600 kW · THDi 30%
Connected load
2,000 kW
Impact peak
2,600 kW
Reactive comp.
1798 kvar
Start dip
2.2%
Est. total (FOB)
POA
📦 Bill of Materials
EquipmentModelSpecQty
HV incoming panelKYN61-40.5-1250-251250 A / 25 kA · vacuum1
Main transformerS13-M-1600/351600 kVA · Oil-Immersed · Copper · S131
LV incoming panelGGD-25002500 A busbar · In 2309 A1
LV feeder panelGGD-2500distributes 4 circuits1
Main feeder cable (TX→LV)YJV 0.6/1kV 300 mm² ×55× 300 mm² Cu · ΔU 1.50% @ 100 m · $154.0/m5
Feeder cable — Quay crane 1 (×4)YJV 185 mm² ×33× 185 mm² Cu · 1031 A · ΔU 1.8% · $103.0/m12
Main busbar (Cu)Cu 125×10125×10 · 2500 A rating · ref $147.8/mincluded
Grounding electrodeΦ20mm × 2.5m rodR₁ 39.6 Ω → 13 rod(s) ≤ 4 Ω13
Dynamic reactive compensation (SVC/SVG)±5 MvarStatic Var Generator · fast response for impact loads · FOB reference1
Detuned PFC capacitor bank1798 kvarautomatic · 7% detuned · 0.4 kV1
Series detuning reactor (7%)125.9 kvar189 Hz tuning · below 5th harmonic1
Quay crane regenerative drive500 kW four-quadrantregenerative VFD (energy feedback on lowering) · per crane4
Shore power supply (岸电)300 kVA50/60 Hz frequency converter + shore connection panel · IEC/ISO 80005-1 · quoted per project1
📐 Single-line diagram
CTCT 30/5APTPT 35kV/100V50/5151NHV incomingKYN61-40.5-1250-251250 A / 25 kA - vacuumS13-M-1600/351600 kVAZ = 4%Oil-Immersed - Copper - S13kWhmeteringLV incomingGGD-25000.4 kV LV busbar125x10 Cu - 2500 ASPDLV feeder panel x1 - 4 circuitsQuay crane 1 - 1031 AYJV 185 mm2Quay crane 2 - 1031 AYJV 185 mm2Quay crane 3 - 1031 AYJV 185 mm2Quay crane 4 - 1031 AYJV 185 mm2Grounding 13xdia20mmx2.5m rod
LEGENDBreaker (52)DisconnectorCTCT (current transformer)PTPT (voltage transformer)50/51Protection relay 50/51/51N/87kWhMeter (kWh)SPD (surge protection)Transformer
⚙️ Electrical schematic (protection & metering)
ELECTRICAL SCHEMATIC - PROTECTION & METERING35 kV / 0.4 kV - 1600 kVA - secondary circuits (schematic)INCOMING 35 kVCT30/5Aprotection CT5250/5151Novercurrent / earth-faultPT35kV/100Vbus PT (voltage)TRANSFORMER1600 kVAZ = 4%kWhrevenue meteringLV 520.4 kV LV BUSSPDCT.../5AQuay crane 1 - 1031 A50/51CT.../5AQuay crane 2 - 1031 A50/51CT.../5AQuay crane 3 - 1031 A50/51CT.../5AQuay crane 4 - 1031 A50/51
⛳ Grounding grid layout
SUBSTATION GROUNDING GRID LAYOUTsite 12 m x 8 m - ring earth electrode (schematic)TRANSFORMERR1R2R3R4R5R6R7R8R9R10R11R12R1312 mGround rods: 13 x dia 20 mm x 2.5 m copper-bonded steelRod spacing: 5 m (= 2 x rod length, ring electrode)Target resistance: <= 4 ohm (measure after installation)Standard: IEEE 80 / GB-T 50065 (earthing design) - indicative layout
🔌 Cable schedule & routing
CABLE SCHEDULEIDFromToCable (model / spec)LengthC0TransformerLV panelYJV 0.6/1kV 300 mm2 (2309 A)100 mC1LV panelQuay crane 1YJV 185 mm2 (1031 A)100 mC2LV panelQuay crane 2YJV 185 mm2 (1031 A)100 mC3LV panelQuay crane 3YJV 185 mm2 (1031 A)100 mC4LV panelQuay crane 4YJV 185 mm2 (1031 A)100 mROUTING (schematic)LV PANELL1L2L3L4L5Cable lengths are indicative (run-length based); confirm on site before installation.
🗄 Switchgear arrangement
SWITCHGEAR ARRANGEMENTpanel lineup (front view, schematic)HV INCOMINGKYN61-40.5-1250-25LV INCOMINGGGD-2500FEEDERGGD-25003 panel(s) - each 213 mm (typical)Clearance / aisle per IEC 61936-1 - layout indicative
🛡 Protection configuration
PROTECTION CONFIGURATION35 kV / 0.4 kV - 1600 kVA - protection zones (schematic)INCOMING 35 kVCTCT 50/5A505151Novercurrent / earth-fault52TRANSFORMER1600 kVA - Z=4%49thermal overloadCTCT 2500/5A505151NLV incoming protection520.4 kV LV BUSCTCT 1200/5A50/5151NQuay crane 11031 ACTCT 1200/5A50/5151NQuay crane 21031 ACTCT 1200/5A50/5151NQuay crane 31031 ACTCT 1200/5A50/5151NQuay crane 41031 AProtection layout & CT ratios are schematic / illustrative final settings per IEC 60255 / IEEE 242.
📋 Protection settings
CircuitProtectionSettingTimeStandard
HV incoming 35 kV50 instantaneous211 AinstIEC 60255-151 / IEEE 242
HV incoming 35 kV51 overcurrent32 A0.5 sIEC 60255-151 / IEEE 242
HV incoming 35 kV51N earth-fault5 A0.5 sIEC 60364-4-41
Transformer 1600 kVA49 thermal overload79% of ratedalarm 90%IEC 60076-7 / IEEE C57.91
LV incoming 0.4 kV50 instantaneous18475 AinstIEC 60947-2
LV incoming 0.4 kV51 overcurrent2771 A0.3 sIEC 60947-2 / IEC 60255
LV incoming 0.4 kV51N earth-fault462 A0.3 sIEC 60364-4-41
Quay crane 150/51/51N (MCCB)Ir 1134 A - Im 8248 A - Ig 206 A0.1 s (grading)IEC 60947-2 / IEC 60255
Quay crane 250/51/51N (MCCB)Ir 1134 A - Im 8248 A - Ig 206 A0.1 s (grading)IEC 60947-2 / IEC 60255
Quay crane 350/51/51N (MCCB)Ir 1134 A - Im 8248 A - Ig 206 A0.1 s (grading)IEC 60947-2 / IEC 60255
Quay crane 450/51/51N (MCCB)Ir 1134 A - Im 8248 A - Ig 206 A0.1 s (grading)IEC 60947-2 / IEC 60255
Settings are illustrative starting points — confirm with a protection coordination study per IEC 60255 / IEEE 242.
📚 Calculation book
CALCULATION BOOK
1600 kVA - 35kV/0.4kV - single - illustrative
1. Load calculation
Standard: IEC 60076 - IEC 60364-5-52
ParameterFormulaValue
Connected loadP = sum(kW)2,000 kW
Demand factorKd0.6
Demand powerPd = P x Kd1,200 kW
Power factorcos(phi) before -> after0.70 -> 0.95
Design apparent powerSd = Pd / cos(phi)1,263 kVA
Transformer loadingSd / Srated79%
2. Short-circuit calculation
Standard: IEC 60909
ParameterFormulaValue
System impedance (pu)Zs = S / Ssc0.32% (on 1600 kVA base)
Transformer impedanceZt = Z%4%
Total impedanceZ = Zt + Zs4.32%
LV prospective IscIsc = In / Z53.5 kA
HV prospective IscIsc = Ssc / (sqrt(3) x V)8.2 kA
Breaking checkIcu >= IscLV 65 kA (1.2x margin) PASS
3. Voltage drop
Standard: IEC 60364-5-52 Annex G
ParameterFormulaValue
Main feederdU = sqrt(3) x I x L x R / V300 mm2 - dU 1.50% @ 100 m
Limitmax 3%within limit
Transformer volt. reg.dU ~ loading x Z% x sin(phi)1.0% at full load
4. Reactive power / harmonics
Standard: IEC 61921 (PFC) - IEEE 519 (harmonics)
ParameterFormulaValue
Required compensationQc = Pd x (tan1 - tan2)0 kvar
PFC bankstandard step0 kvar
Detuned reactorp = 6%n/a
5. Grounding
Standard: IEC 60364-5-54 earthing arrangements and protective conductors LV earthing target 10 ohm (TN systems); 4 ohm used as a conservative design target - target 4 ohm
ParameterFormulaValue
Single rod resistanceR1 = rho/(2 x pi x L) x ln(4L/d)39.6 ohm
Rods requiredn = R1 / (target x 0.8)13 rod(s) <= 4 ohm
Rod specdia x length20 mm x 2.5 m
This calculation book is illustrative it consolidates the computed values with the referenced standards. A licensed engineer must verify and seal final design documents for construction.
🔧 Secondary schematic (control & signal)
SECONDARY CONTROL & SIGNAL CIRCUIT0.4 kV circuit breaker close/trip + indication + interlock (TYPICAL)+control supplyCS (close)interlock52Cclose coil-TC (trip)prot trip52Ttrip coilSIGNAL (indication)52a (closed)REDbreaker closed-TYPICAL CIRCUITStandard control/signal scheme for Quay crane 1.Project detailing required (wiring, terminal assignment).
🔩 Terminal strip (typical)
TERMINAL STRIP (TYPICAL)X1 secondary wiring terminals (typical project detailing required)TerminalFunctionWireX1:1control supply L+1.5 mm2X1:2control supply L-1.5 mm2X1:3close command1.5 mm2X1:4trip command1.5 mm2X1:5breaker 52a status1.5 mm2X1:6breaker 52b status1.5 mm2X1:7trip circuit healthy1.5 mm2X1:8earth / shield2.5 mm2
⚙️ Impact load & motor starting
ParameterValue
Impact peak2,600 kW (factor 1.3×)
Largest drive500 kW · VFD (1.3× In)
Start voltage dip2.2% vs limit 10% — OK ✓
🌀 Reactive & harmonic compensation
ParameterValue
Reactive compensation1798 kvar SVC/SVG + detuned bank (7% reactor)
Harmonic currentTHDi 30% → Ih 1,608 A
Resonancef_res 189 Hz below 5th harmonic → detuned (safe ✓)
📏 Standard basis (依据标准)
TopicStandard
Standard basisIEC · IEC 60364-5-52
Conductor ampacityIEC 60364-5-52 Table B.52.2–B.52.5 (copper, 3 loaded conductors, 30°C ambient, PVC) — typical/rounded values, conservative (±3%)
Voltage-drop limitIEC 60364-5-52 Annex G · max drop 3%
Winding temp riseIEC 60076-2 — winding temp rise 65 K (Class A insulation, ONAN)
kVA ratingsIEC 60076-1 R10 preferred numbers
Breaker framesIEC 60947-2 frame sizes (In)
Grounding targetIEC 60364-5-54 earthing arrangements and protective conductors — LV earthing target ≤ 10 Ω (TN systems); 4 Ω used as a conservative design target · target 4 Ω
Voltage fluctuation & flickerGB/T 12326 — voltage fluctuation and flicker limits (impact loads)
HarmonicsGB/T 14549 · IEC 61000-3-2 · IEC 61642 — harmonic limits & detuned filters
Rotating machinesIEC 60034 — rotating electrical machines
Power supply designGB 50052 — code for design of electric power supply systems
🧮 How it was calculated
1. Quay cranes: 4 × 500 kW = 2,000 kW
2. Impact peak = 2,000 × 1.3 = 2,600 kW (short-time)
3. Largest drive start (motor-starting): 500 kW × 1.3 → dip 2.2% vs limit 10%
4. Reactive compensation: Qc = 2,600 × (tanφ₁ − tanφ₂) = 1,798 kvar (SVC/SVG + detuned bank)
5. Harmonics: THDi 30% → Ih = 1,608 A · 7% detuned reactor (f_res 189 Hz)
6. Loads: P=2,000 kW, PF 0.70, 4 circuits
7. Demand: 2,000 × 0.6 = 1,200 kW
8. Transformer: S = 1,200 ÷ 0.95 = 1263.2 kVA → 1,600 kVA standard
9. Loading: 1,263 ÷ 1,600 = 79% (good range)
10. Voltage regulation: 79% × 4% × sinφ ≈ 1.0% at full load
11. HV: In 26.4 A, Isc 8.2 kA → KYN61-40.5-1250-25
12. LV: In 2309 A, Isc 53.5 kA (Xfmr Z 4% + system 0.3%) → GGD-2500, 1 feeder panel(s)
13. Grounding: R₁ 39.6 Ω → 13 rod(s)
14. Main feeder: 5× 300 mm² · ΔU 1.50% — OK
Summary
Estimated total (FOB Qingdao, EXW) — priced equipment$438,818
📋 Design notes
Pricing basis: FOB Qingdao (EXW) equipment price. Freight, duty and installation are not included — add for landed economics.
Transformer loading: 79% at design demand — good range.
Short-circuit check: HV 8.2 kA vs 25 kA (3.0× margin) · LV 53.5 kA vs 65 kA (1.2× margin).
Voltage regulation: ≈ 1.0% at full load (typical limit 5%).
Copper price linkage: Copper-wound transformer price tracks LME copper (current $14,115/t · 2026-09-14 · LME Copper (Sina hf_CAD)).
Parallel conductors: Single-cable ampacity exceeded — parallel conductors specified: main feeder 5× 300 mm², Quay crane 1 3× 185 mm², Quay crane 2 3× 185 mm², Quay crane 3 3× 185 mm², Quay crane 4 3× 185 mm² (per IEC 60364-5-52 / GB 50054).
Cable & grounding pricing: Cable conductors and grounding are priced from the confirmed cables-trays-grounding price reference (per-metre copper YJV; aluminium remains POA). The main copper busbar is POA — its length is project-specific.
Busway (high-current feeders): For LV feeders above ~2500 A, a busway (母线槽) trunking system is recommended instead of parallel cables.
Impact load: Impact factor 1.3× — rapid load swings from cranes/arc furnaces cause voltage flicker; dynamic SVC/SVG compensation is required.
Starting: Largest 500 kW drive started via VFD draws a 2.2% bus dip (within the 10% limit).
Harmonics: 30% THDi from VFD/rectifier loads — a 7% detuned filter keeps the branch inductive below the 5th harmonic.
SVC/SVG pricing: Dynamic reactive compensation is priced at $183,000/unit (±5 Mvar, FOB reference).
Crane regenerative drive: Quay cranes use four-quadrant (regenerative) VFDs that feed lowering energy back to the bus — this reduces energy consumption and DC-bus overvoltage, quoted per project.
Shore power (岸电): A shore power supply converts the port grid to the vessel’s voltage/frequency (IEC/ISO 80005-1) so berthed ships shut down their auxiliary engines — quoted per project.

Как это рассчитывалось

Как работает расчёт

Ударный пик = подключённая нагрузка × коэффициент ударности. Компенсация реактивной мощности Qc = P × (tanφ₁ − tanφ₂) корректирует низкий естественный коэффициент мощности, с быстродействующим SVC/SVG для подавления мерцания и расстроенной батареей для гармоник. Пусковая мощность (кВА) самого мощного привода проверяется на соответствие пределу провала напряжения (обычно 10% для шин, чувствительных к мерцанию).

Применимые стандарты

Расчёт ссылается на GB/T 12326 (колебания напряжения и мерцание), GB/T 14549 и IEC 61000-3-2 (гармоники), IEC 61642 (расстроенные фильтры), IEC 60034 (вращающиеся машины) и GB 50052 (проектирование электроснабжения).

Часто задаваемые вопросы

How do impact loads affect power quality at a port?

Quay cranes and winches impose rapid, large load swings (impact loads) that cause voltage flicker. The impact factor is the ratio of peak to average load, often 1.3-1.5. When flicker violates GB/T 12326 limits, a dynamic reactive compensator (SVC or SVG) with 5-20 ms response is added. The calculator sizes compensation from the impact factor.

Why do arc furnaces need SVC or SVG compensation?

Electric arc furnaces draw erratic current with severe flicker and Harmonics, pulling Power Factor down to 0.6-0.7 during meltdown. An SVC or SVG rated 30-50% of furnace capacity restores power factor and damps flicker to meet GB/T 12326 and IEEE 519. A 50 MW furnace typically needs 15-25 Mvar of dynamic compensation.

What voltage level feeds a port crane system?

Large quay cranes (500 kW-1.5 MW per crane) are fed at 10 kV or 35 kV, stepped down near the berth to 0.4/0.69 kV for drives. A 10 kV ring feed with RMU or Switchgear along the quay is standard. The calculator's 35 kV default models a multi-berth crane cluster; smaller ports use 10 kV.

How are crane harmonics controlled?

Crane drives are VFD-based, injecting 5th, 7th, 11th harmonics; THDi commonly reaches 30% without treatment. Active front-end (AFE) drives or a passive detuned filter plus an APF keep THD under the IEEE 519 limit of 5-8% at the point of common coupling. The calculator sizes harmonic filtering when THDi exceeds the threshold.

What is the typical crane duty cycle for sizing supply?

Quay cranes run intermittent duty (hoist/lower/travel), so average demand is 40-60% of installed power even during busy periods. Supply transformers are sized to the peak simultaneous demand plus starting inrush of the largest hoist, not the sum of nameplates. The calculator applies an impact factor and diversity to avoid oversizing.

What short-circuit duty must port switchgear withstand?

Port 35 kV switchgear is usually rated 25-31.5 kA; 10 kV panels 25-31.5 kA; LV boards 50-65 kA. The rating must exceed the computed Fault Current at each busbar (IEC 60909). Crane drives contribute fault current, so a 35 kV bus fed by a 50 MVA source needs at least 25 kA. The calculator checks panel ratings against the fault level.

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Результаты являются инженерными оценками для справки. Окончательный проект должен быть подтверждён лицензированным местным инженером с учётом условий площадки и действующих норм. Цены указаны FOB Циндао (EXW) и не включают доставку, пошлины и монтаж.

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