Máy biến áp QDTB®

Máy tính Hệ thống Điện Mỏ

Thiết kế nguồn cấp điện cho mỏ — phụ tải máy nghiền, tời trục, quạt thông gió và băng tải, tính toán máy biến áp và tủ đóng cắt, kiểm tra khởi động động cơ lớn, giảm thiểu sóng hài VFD và giảm định mức theo độ cao/bụi, kèm BOM và sơ đồ đơn tuyến.

Bắt đầu tính toán Giải pháp Khai thác & Công nghiệp Nặng
Giám sát và điều khiển thông minh
Thêm lớp bảo vệ, đo đếm và SCADA vào BOM và sơ đồ kiến trúc.

Tại sao dùng máy tính này

Mỏ kết hợp môi trường vận hành khắc nghiệt nhất với phụ tải động cơ rất lớn, gián đoạn. Máy tính này tổng hợp máy nghiền, tời trục, quạt và băng tải, áp dụng hệ số nhu cầu và giảm định mức theo độ cao, kiểm tra sụt áp khi khởi động động cơ lớn nhất, và tính toán máy biến áp, bù công suất phản kháng và lọc sóng hài theo GB 50070 và IEC 60034.

Worked Examples

Example 1 — Surface Mine (Crusher + Hoist + Fans + Conveyors) · FOB $313,963
Mining power system · 10kV/0.4kV · Heavy dust · 1500 m
1,600 kVA transformer
S13-M-1600/10 · demand 1,288 kW · VFD 40%
Connected load
1,840 kW
Effective load
1,321 kW
Reactive comp.
626 kvar
Start dip
5.0%
Est. total (FOB)
POA
📦 Bill of Materials
EquipmentModelSpecQty
HV incoming panelKYN28A-12-630-315630 A / 31.5 kA · vacuum1
Main transformerS13-M-1600/101600 kVA · Oil-Immersed · Copper · S131
LV incoming panelGGD-25002500 A busbar · In 2309 A1
LV feeder panel (×2)GGD-2500distributes 10 circuits2
Cable branch box (LV)DFW-0.41-in / 4-out · 0.4 kV · 630 A2
Main feeder cable (TX→LV)YJV 0.6/1kV 300 mm² ×55× 300 mm² Cu · ΔU 1.80% @ 120 m · $154.0/m5
Feeder cable — Crusher 1 (×10)YJV 120 mm²120 mm² Cu · 238 A · ΔU 2.3% · $68.8/m10
Branch trunk cable (LV → branch box 1)YJV 300 mm² ×22× 300 mm² Cu · 953 A · ΔU 1.9% · $154.0/m2
Branch trunk cable (LV → branch box 2)YJV 300 mm²300 mm² Cu · 477 A · ΔU 1.9% · $154.0/m1
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
Soft starter cabinet (largest motor)500 kWSoft starter (3.0× In) · start dip 5.0%1
Detuned PFC capacitor bank626 kvarautomatic · 7% detuned · 0.4 kV1
Series detuning reactor (7%)43.8 kvar189 Hz tuning · below 5th harmonic1
Active harmonic filter (APF)300 AVFD harmonic mitigation (40% VFD load) · GB/T 145491
📐 Single-line diagram
CTCT 100/5APTPT 10kV/100V50/5151NHV incomingKYN28A-12-630-315630 A / 31.5 kA - vacuumS13-M-1600/101600 kVAZ = 4%Oil-Immersed - Copper - S13kWhmeteringLV incomingGGD-25000.4 kV LV busbar125x10 Cu - 2500 ASPDLV feeder panel x2 - 10 circuitsCrusher 1 - 238 AYJV 120 mm2Crusher 2 - 238 AYJV 120 mm2Hoist 1 - 238 AYJV 120 mm2Vent fan 1 - 238 AYJV 120 mm2Vent fan 2 - 238 AYJV 120 mm2Vent fan 3 - 238 AYJV 120 mm2Conveyor 1 - 238 AYJV 120 mm2Conveyor 2 - 238 AYJV 120 mm2Conveyor 3 - 238 AYJV 120 mm2Conveyor 4 - 238 AYJV 120 mm2Grounding 13xdia20mmx2.5m rodCable branch box DFW-0.4 x2 (1-in / 4-out)
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 & METERING10 kV / 0.4 kV - 1600 kVA - secondary circuits (schematic)INCOMING 10 kVCT100/5Aprotection CT5250/5151Novercurrent / earth-faultPT10kV/100Vbus PT (voltage)TRANSFORMER1600 kVAZ = 4%kWhrevenue meteringLV 520.4 kV LV BUSSPDCT.../5ACrusher 1 - 238 A50/51CT.../5ACrusher 2 - 238 A50/51CT.../5AHoist 1 - 238 A50/51CT.../5AVent fan 1 - 238 A50/51CT.../5AVent fan 2 - 238 A50/51CT.../5AVent fan 3 - 238 A50/51CT.../5AConveyor 1 - 238 A50/51CT.../5AConveyor 2 - 238 A50/51CT.../5AConveyor 3 - 238 A50/51CT.../5AConveyor 4 - 238 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)120 mC1LV panelCrusher 1YJV 120 mm2 (238 A)120 mC2LV panelCrusher 2YJV 120 mm2 (238 A)120 mC3LV panelHoist 1YJV 120 mm2 (238 A)120 mC4LV panelVent fan 1YJV 120 mm2 (238 A)120 mC5Branch boxVent fan 2YJV 120 mm2120 mC6Branch boxVent fan 3YJV 120 mm2120 mC7Branch boxConveyor 1YJV 120 mm2120 mC8Branch boxConveyor 2YJV 120 mm2120 mC9Branch boxConveyor 3YJV 120 mm2120 mC10Branch boxConveyor 4YJV 120 mm2120 mROUTING (schematic)LV PANELL1L2L3L4L5L6L7L8... +3 feedersCable lengths are indicative (run-length based); confirm on site before installation.
🗄 Switchgear arrangement
SWITCHGEAR ARRANGEMENTpanel lineup (front view, schematic)HV INCOMINGKYN28A-12-630-315LV INCOMINGGGD-2500FEEDERGGD-2500FEEDERGGD-2500BRANCH BOXDFW-0.45 panel(s) - each 128 mm (typical)Clearance / aisle per IEC 61936-1 - layout indicative
🛡 Protection configuration
PROTECTION CONFIGURATION10 kV / 0.4 kV - 1600 kVA - protection zones (schematic)INCOMING 10 kVCTCT 100/5A505151Novercurrent / earth-fault52TRANSFORMER1600 kVA - Z=4%49thermal overloadCTCT 2500/5A505151NLV incoming protection520.4 kV LV BUSCTCT 250/5A50/5151NCrusher 1238 ACTCT 250/5A50/5151NCrusher 2238 ACTCT 250/5A50/5151NHoist 1238 ACTCT 250/5A50/5151NVent fan 1238 ACTCT 250/5A50/5151NVent fan 2238 ACTCT 250/5A50/5151NVent fan 3238 ACTCT 250/5A50/5151NConveyor 1238 ACTCT 250/5A50/5151NConveyor 2238 ACTCT 250/5A50/5151NConveyor 3238 ACTCT 250/5A50/5151NConveyor 4238 AProtection layout & CT ratios are schematic / illustrative final settings per IEC 60255 / IEEE 242.
📋 Protection settings
CircuitProtectionSettingTimeStandard
HV incoming 10 kV50 instantaneous739 AinstIEC 60255-151 / IEEE 242
HV incoming 10 kV51 overcurrent111 A0.5 sIEC 60255-151 / IEEE 242
HV incoming 10 kV51N earth-fault18 A0.5 sIEC 60364-4-41
Transformer 1600 kVA49 thermal overload87% 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
Crusher 150/51/51N (MCCB)Ir 262 A - Im 1907 A - Ig 48 A0.1 s (grading)IEC 60947-2 / IEC 60255
Crusher 250/51/51N (MCCB)Ir 262 A - Im 1907 A - Ig 48 A0.1 s (grading)IEC 60947-2 / IEC 60255
Hoist 150/51/51N (MCCB)Ir 262 A - Im 1907 A - Ig 48 A0.1 s (grading)IEC 60947-2 / IEC 60255
Vent fan 150/51/51N (MCCB)Ir 262 A - Im 1907 A - Ig 48 A0.1 s (grading)IEC 60947-2 / IEC 60255
Vent fan 250/51/51N (MCCB)Ir 262 A - Im 1907 A - Ig 48 A0.1 s (grading)IEC 60947-2 / IEC 60255
Vent fan 350/51/51N (MCCB)Ir 262 A - Im 1907 A - Ig 48 A0.1 s (grading)IEC 60947-2 / IEC 60255
+4 more feeders50/51/51N (MCCB)per feeder load0.1 s (grading)IEC 60947-2
Settings are illustrative starting points — confirm with a protection coordination study per IEC 60255 / IEEE 242.
📚 Calculation book
CALCULATION BOOK
1600 kVA - 10kV/0.4kV - single - illustrative
1. Load calculation
Standard: IEC 60076 - IEC 60364-5-52
ParameterFormulaValue
Connected loadP = sum(kW)1,321 kW
Demand factorKd1
Demand powerPd = P x Kd1,321 kW
Power factorcos(phi) before -> after0.80 -> 0.95
Design apparent powerSd = Pd / cos(phi)1,391 kVA
Transformer loadingSd / Srated87%
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)28.9 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 1.80% @ 120 m
Limitmax 3%within limit
Transformer volt. reg.dU ~ loading x Z% x sin(phi)1.1% 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 Crusher 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
⚙️ Motor starting check (largest motor)
ParameterValue
Motor500 kW · started Soft starter (3.0× In)
Starting kVA1,961 kVA
Feeder short-circuit500 MVA
Voltage dip5.0% vs limit 15% — OK ✓
🌀 Reactive & harmonic compensation
ParameterValue
Reactive compensation626 kvar detuned bank (7% reactor)
VFD load40% (528 kW)
Harmonic currentIh 241 A @ 30% THDi
APF requiredYes — VFD load ≥ 30%
🏔️ Environment & derating
ParameterValue
Altitude1500 m → derating factor 0.97
Dust levelHeavy dust → IP54 enclosure
TransformerS13-M-1600/10 (10/0.4 kV)
📏 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
Mining power designGB 50070 — code for design of electric power supply in mines
Rotating machinesIEC 60034 — rotating electrical machines (rating & starting)
HarmonicsGB/T 14549 — quality of electric energy supply: harmonics in public supply network
Power supply designGB 50052 — code for design of electric power supply systems
TransformersIEC 60076 — power transformers (altitude / temperature derating)
🧮 How it was calculated
1. Crushers: 2 × 250 kW = 500 kW
2. Hoists: 1 × 500 kW = 500 kW
3. Ventilation fans: 3 × 160 kW = 480 kW
4. Conveyors: 4 × 90 kW = 360 kW
5. Connected load = 1,840 kW → demand = 1,840 × 0.7 = 1,288 kW
6. Altitude derating: 1500 m → factor 0.97 → effective load = 1,288 ÷ 0.97 = 1,321 kW
7. Largest motor start (motor-starting): 500 kW ÷ (0.90×0.85) × 3.0 = 1,961 kVA → dip = 5.0% vs limit 15%
8. Reactive compensation: Qc = 1,321 × (tanφ₁ − tanφ₂) = 626 kvar
9. VFD harmonics: 40% VFD load → Ih = 241 A (30% THDi) · 7% detuned reactor
10. Loads: P=1,321 kW, PF 0.80, 10 circuits
11. Demand: 1,321 × 1 = 1,321 kW
12. Transformer: S = 1,321 ÷ 0.95 = 1390.5 kVA → 1,600 kVA standard
13. Loading: 1,391 ÷ 1,600 = 87% (good range)
14. Voltage regulation: 87% × 4% × sinφ ≈ 1.1% at full load
15. HV: In 92.4 A, Isc 28.9 kA → KYN28A-12-630-315
16. LV: In 2309 A, Isc 53.5 kA (Xfmr Z 4% + system 0.3%) → GGD-2500, 2 feeder panel(s)
17. Cable branch boxes: 2 × DFW-0.4 (1-in/4-out) for feeder grouping
18. Grounding: R₁ 39.6 Ω → 13 rod(s)
19. Main feeder: 5× 300 mm² · ΔU 1.80% — OK
Summary
Estimated total (FOB Qingdao, EXW) — priced equipment$313,963
📋 Design notes
Pricing basis: FOB Qingdao (EXW) equipment price. Freight, duty and installation are not included — add for landed economics.
Transformer loading: 87% at design demand — good range.
Short-circuit check: HV 28.9 kA vs 31.5 kA (1.1× margin) · LV 53.5 kA vs 65 kA (1.2× margin).
Voltage regulation: ≈ 1.1% at full load (typical limit 5%).
Copper price linkage: Copper-wound transformer price tracks LME copper (current $14,219/t · 2026-09-12 · LME Copper (Sina hf_CAD)).
Parallel conductors: Single-cable ampacity exceeded — parallel conductors specified: main feeder 5× 300 mm², branch trunk 1 2× 300 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.
Motor starting: Largest motor 500 kW started Soft starter draws a 5.0% bus dip (within the 15% limit).
Altitude derating: 1500 m elevation → 3% capacity derating applied per IEC 60076 / GB/T 6451 (0.5%/100 m above 1000 m).
Dust protection: Heavy dust environment → specify IP54 enclosure; underground mines should use dry-type transformers (fire safety).
VFD harmonics: 40% VFD load — an active harmonic filter (APF) is recommended to meet GB/T 14549 limits.
Dedicated hoist / crusher drives: Hoists need a regenerative (four-quadrant) VFD to feed lowering energy back to the bus; crushers need a heavy-duty VFD with high overload and load-sharing for multi-motor drives. Both are quoted per project.
Scope: Electrical power side only — mining, hoisting and ventilation mechanical engineering is outside this calculator.

Cách tính toán

Cách tính toán hoạt động

Phụ tải đấu nối = Σ (số lượng × kW). Nhu cầu = đấu nối × Kd (0,7 điển hình cho mỏ). Độ cao trên 1000 m làm giảm định mức máy biến áp (~0,5%/100 m theo IEC 60076), nên phụ tải hiệu dụng = nhu cầu ÷ hệ số giảm định mức. kVA khởi động động cơ lớn nhất = P ÷ (η·cosφ) × kst, và sụt áp thanh cái = Sstart ÷ (Sstart + Ssc). Bù công suất phản kháng Qc = P × (tanφ₁ − tanφ₂); dòng sóng hài VFD Ih được lọc bằng bộ tụ khử điều hướng.

Tiêu chuẩn áp dụng

Tính toán tham chiếu GB 50070 (thiết kế cấp điện mỏ), IEC 60034 (máy điện quay), GB/T 14549 (sóng hài), GB 50052 (thiết kế cấp điện) và IEC 60076 (giảm định mức máy biến áp).

Câu hỏi thường gặp

How does altitude affect transformer and switchgear rating?

Above 1000 m, thinner air reduces cooling and Dielectric Strength. Transformers derate about 0.5% per 100 m above 1000 m, and Switchgear derates similarly. A 1500 m site needs roughly 2.5% derating; a 3000 m site about 10%. The calculator applies Altitude Derating to the selected Transformer and panels per IEC 60076 and IEC 62271.

What is the typical voltage for underground mining power?

Underground mining uses 10 kV or 6 kV distribution into the mine, stepping down to 1.14 kV or 0.66 kV for crushers, hoists and conveyors, and 0.4 kV for auxiliaries. Long cable runs and motor starting favour the higher LV levels. The calculator models a 10/0.4 kV surface plant with motor-starting dip checks for the hoist and crusher.

Why do mine hoists need special starting consideration?

A mine hoist motor (often 500 kW-3 MW) draws 5-7 times rated current on DOL start, which can dip the mine bus below 85% and trip other drives. Soft-start or VFD limits the inrush, and the transformer must be sized for the starting kVA. The calculator checks the voltage dip of the largest motor and sizes supply accordingly.

How are VFD harmonics handled in a mining plant?

With 40% of load on VFDs, THDi can exceed 20%, so a detuned capacitor bank (7% reactor) or APF is needed to meet IEEE 519 (5% THD at PCC). The calculator sizes reactive compensation and detuning based on the VFD share; heavy-dust duty also calls for IP54 or higher enclosures.

What demand factor applies to a mining plant?

Crushers, hoists, fans and conveyors do not peak together; a demand factor of 0.6-0.75 is typical. A plant with 250 kW crushers, a 500 kW hoist, 160 kW fans and 90 kW conveyors rarely exceeds 60-70% of the 1,600+ kW nameplate simultaneously. The calculator applies kd before selecting transformer kVA.

What enclosure and protection does mining switchgear need?

Mining switchgear must resist dust and moisture: IP54 or IP55 for surface plants, flameproof Ex d for underground gassy mines (IEC 60079). Heavy-dust environments shorten creepage distances, so wider clearances and anti-tracking insulation are standard. The calculator flags dust level and applies the corresponding enclosure grade in the BOM.

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Máy tính liên quan

Kết quả là ước tính kỹ thuật để tham khảo. Thiết kế cuối cùng phải được xác nhận bởi kỹ sư địa phương có giấy phép dựa trên điều kiện thực tế và quy chuẩn áp dụng. Giá là FOB Qingdao (EXW) và không bao gồm vận chuyển, thuế hoặc lắp đặt.

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