Transformers

Transformer Protection: The Complete Substation Engineering Guide

Microprocessor transformer protection relay panel installed in an electrical substation

Key takeaways

  • Transformer differential protection (ANSI 87T) uses dual-slope percentage restraint with second-harmonic (15–20%) and fifth-harmonic (25–35%) blocking to prevent false trips during magnetising inrush and overexcitation.
  • Restricted Earth Fault (REF / ANSI 64R) provides fast, sensitive protection covering up to 95% of star-connected windings where standard overcurrent relays fail due to low fault currents near the neutral.
  • Mechanical protection devices including the two-stage Buchholz relay (ANSI 63) and rapid pressure relief devices provide indispensable primary protection against incipient insulation breakdown and arcing faults in oil-immersed transformers.
  • Overexcitation protection (ANSI 24) prevents core overheating caused by elevated voltage-to-frequency (V/Hz) ratios exceeding the standard continuous limit of 1.05 to 1.10 per unit.
  • Accurate current transformer (CT) matching, vector group phase-angle compensation, and zero-sequence current filtering are vital mathematical operations performed inside modern numerical transformer relays.

Quick answer: Transformer protection is an integrated scheme of electrical relays and mechanical sensors that detects internal short circuits, insulation degradation, abnormal operating conditions, and through-faults, rapidly isolating the unit from the power grid within 20 to 100 milliseconds to prevent core destruction, catastrophic tank rupture, and extended power outages.

Transformers represent one of the most capital-intensive single assets installed in transmission grids, distribution networks, and industrial facilities. Because transformers are subjected to continuous thermal, mechanical, and electrical stresses throughout their operational lifecycles, an uncleared fault can cause instantaneous catastrophic failure, resulting in boiling oil explosions, fire propagation to adjacent switchgear, and multimillion-pound replacement costs. Designing an effective transformer protection system requires balancing extreme sensitivity to internal faults against high stability during external through-faults and transient energisation events.

Whether safeguarding an industrial step-down unit or a utility-scale transmission asset, modern protection schemes combine unit-type protection (such as percentage-biased differential relays) with non-unit backup protection and physical monitoring devices. Achieving proper coordination requires a meticulous understanding of fault dynamics, vector group phase shifts, core saturation characteristics, and international standards including IEC 60255, IEC 60076, and IEEE C37.91. This engineering guide examines the operational mechanisms, relay settings, and physical protection systems required to deliver comprehensive reliability for modern transformers.

Core Principles of Transformer Protection Schemes and Fault Classifications

A comprehensive transformer protection scheme must classify and address four distinct operational hazard categories: internal winding faults, abnormal operating conditions, through-fault stresses, and external system disturbances. Internal faults represent the most destructive phenomena and encompass phase-to-phase, phase-to-ground, and inter-turn short circuits within the high-voltage (HV) and low-voltage (LV) windings. Because the turns ratio varies across the winding length, an inter-turn fault involving just 2% of the winding turns can generate localized loop currents exceeding 20 times the rated full-load current while drawing only modest current from the primary terminals, rendering standard overcurrent relays completely blind to the initial failure.

Abnormal operating conditions do not initially represent dielectric breakdown, but they rapidly degrade transformer internal components if sustained over time. These conditions include sustained overloads, cooling fan or circulation pump failures, system frequency depressions, and steady-state overvoltages. External through-faults occurring on outgoing feeders submit the transformer windings to severe electromagnetic forces that scale with the square of the fault current (I²). A transformer subjected to frequent external faults experiences cumulative mechanical deformation of its clamping structures and mechanical loosening of cellulose insulation papers, ultimately leading to sudden dielectric failure.

Standardised ANSI/IEEE device numbers are universally employed by electrical protection engineers to specify the components of a comprehensive protection philosophy:

  • ANSI 87T: Biased percentage differential protection, functioning as the primary high-speed protective zone for the transformer active part.
  • ANSI 87N / 64R: Restricted Earth Fault (REF) protection, delivering sensitive single-phase-to-earth fault detection within the winding zone.
  • ANSI 50/51: Instantaneous and time-delayed overcurrent protection, serving as backup protection for internal faults and primary protection against external system through-faults.
  • ANSI 50N/51N or 51G: Residual or neutral time-delayed earth-fault protection.
  • ANSI 49: Thermal overload protection based on an internal thermal replica model or direct temperature sensor inputs (RTDs).
  • ANSI 24: Overexcitation or Volts-per-Hertz (V/Hz) protection, safeguarding the magnetic core from saturation.
  • ANSI 63: Gas detection and oil surge relay (Buchholz relay) installed on oil-immersed transformers equipped with conservator tanks.
  • ANSI 26 / 49W: Oil and winding temperature indicators equipped with alarm and trip micro-switches.

Biased Differential Protection (87T) and Harmonic Restraint Mechanisms

Biased differential protection (ANSI 87T) operates on the fundamental principle of Kirchhoff's Current Law, comparing the normalized currents entering and exiting the defined protection zone surrounding the transformer. Under ideal conditions during normal load throughput or external through-faults, the vector sum of currents entering and leaving the transformer equals zero. However, in practice, false differential spill currents occur naturally due to CT ratio errors, tap changer operational positions, magnetising current draw, and differing CT saturation profiles during heavy through-faults. To accommodate these operational disparities without causing nuisance tripping, modern digital relays implement a percentage-biased differential characteristic.

The differential relay continuously calculates two fundamental parameters: the differential operating current (I_diff) and the restraining bias current (I_bias), mathematically defined as:

I_diff = |I_HV + I_LV|

I_bias = (|I_HV| + |I_LV|) / 2

Modern numerical relays use a dual-slope, dual-breakpoint characteristic. Slope 1 (typically configured between 15% and 30%) manages normal measurement inaccuracies, magnetising drift, and full-range on-load tap changer (OLTC) variations occurring below rated load. Slope 2 (typically set between 50% and 80%) is activated at currents higher than 1.5 to 2.0 times rated current to maintain absolute stability during massive external through-faults where current transformers undergo unequal magnetic core saturation.

During transformer energisation, a major operational challenge emerges: magnetising inrush current. Inrush current can reach peak amplitudes of 6 to 12 times rated full-load current (FLA) on the energised winding while remaining completely absent on the de-energised secondary winding, appearing to the 87T relay as a massive internal phase-to-ground fault. To prevent spurious tripping, differential relays employ discrete harmonic restraint algorithms. Magnetising inrush current contains a prominent second-harmonic component (100 Hz on 50 Hz grids, 120 Hz on 60 Hz systems) that rarely exists during legitimate internal short circuits. Numerical relays utilize Fast Fourier Transforms (FFT) to extract the ratio of second harmonic to fundamental current; if the ratio exceeds a programmable threshold (typically 15% to 20%), the relay restrains the differential trip signal.

Similarly, when a transformer experiences severe system overvoltage or low grid frequency, the core iron saturates, producing an overexcitation condition characterised by a pronounced fifth-harmonic current component (250 Hz / 300 Hz). The relay incorporates fifth-harmonic restraint, configured between 25% and 35%, to inhibit false differential operations during transient grid overexcitation events. To maintain lightning-fast clearing during catastrophic high-current internal short circuits where CTs heavily saturate and create artificial harmonics, an unrestrained instantaneous differential element (87U) is provided, typically calibrated to trip unconditionally when differential currents exceed 8 to 15 times rated current.

Phase-Angle Compensation and Zero-Sequence Elimination in Numerical Relays

Phase-angle compensation and zero-sequence current elimination are required mathematical operations inside digital relays to balance current measurements across different transformer winding configurations. When transformers are connected in star-delta arrangements, such as the standard Dyn11 or Yd1 vector groups, a natural phase displacement occurs across the windings. In a Dyn11 transformer, the secondary voltage and line currents lead the primary values by 30 electrical degrees, as detailed in our guide on transformer vector groups explained. In legacy electromechanical protection schemes, physical interposing CTs connected in delta on the star side and star on the delta side were required to mechanically correct for this phase shift and balance line currents.

In modern numerical relays, all physical CT secondaries are connected in a simple, uniform star configuration, and phase-angle compensation is executed entirely via digital matrix multiplication in the relay firmware. The commissioning engineer enters the specific vector group designation (e.g., YNd11, Dyn5, Yy0), and the microprocessor shifts the incoming sample vectors by the appropriate phase angle (+30°, -30°, 180°, etc.) before calculating the differential current balance.

Zero-sequence current elimination is equally critical for grounded star-connected windings. An external earth fault on the network fed by an earthed star winding produces zero-sequence current that circulates through the transformer neutral and returns through the phase conductors. If the transformer secondary is delta-connected, zero-sequence current cannot transfer magnetically across the boundary into the delta primary winding. Consequently, the zero-sequence current appears as an unbalanced residual current exclusively on the star side of the differential zone, producing an artificial spill current that trips the 87T relay on external faults. To avoid this instability, numerical relays apply digital zero-sequence filtering algorithms—subtracting the zero-sequence component (I0 = [Ia + Ib + Ic] / 3) from each phase vector prior to the differential evaluation.

Mechanical and Non-Electrical Protection for Oil-Immersed Transformers

Mechanical protection systems provide direct, unmediated physical detection of internal faults within liquid-filled transformers, often responding to low-energy insulation tracking well before currents reach electrical relay pickup thresholds. For oil-immersed distribution transformers and large transmission units, mechanical sensors form the first line of defence against pressure buildup and oil decomposition.

The quintessential mechanical safety device is the Buchholz relay (ANSI 63), mounted within the connecting pipework inclined between the main transformer tank and the overhead oil conservator vessel. The Buchholz relay functions as a two-stage protective device:

  • Stage 1 (Gas Accumulation / Alarm): Slow internal dielectric degradation, partial discharge, or localized core hotspot overheating gradually decomposes the dielectric fluid into combustible gases (hydrogen, methane, acetylene, ethylene). These bubbles rise through the oil pipe and collect in the upper chamber of the relay housing, depressing a buoyant float or vane. When gas volume reaches 200 to 300 cm³, a dry reed switch closes to sound a supervisory control and data acquisition (SCADA) alarm. Analyzing this accumulated gas through dissolved gas analysis (DGA) reveals the exact nature of the developing thermal or electrical defect.
  • Stage 2 (Oil Surge / Trip): A catastrophic, high-energy arcing fault vaporizes transformer oil instantaneously, generating a localized shockwave that drives bulk oil toward the conservator at high velocity. If the oil velocity exceeds the calibrated threshold—typically between 0.70 and 1.50 m/s—a hinged flap mechanism deflects immediately, activating a trip contact that de-energises all primary and secondary circuit breakers within 50 to 100 ms.

Complementary mechanical protection includes spring-loaded Pressure Relief Devices (PRD), fitted directly onto the transformer tank cover. If internal tank pressure exceeds a factory-calibrated setpoint (typically 35 to 70 kPa / 5 to 10 psi), the PRD opens fully within 2 milliseconds, safely venting pressurized fluid and closing an integrated microswitch to trigger immediate circuit breaker tripping. On transformers exceeding 10 MVA, rapid pressure rise relays (ANSI 63X / sudden-pressure style) are directly immersed below the oil line, sensing dynamic rate-of-rise (dP/dt) independent of static head pressure to trigger electrical tripping before mechanical tank seams rupture.

Thermal instrumentation rounds out mechanical protection via Oil Temperature Indicators (OTI) and Winding Temperature Indicators (WTI). While OTI measures bulk top-oil liquid temperature, the WTI uses a bulb surrounded by a heating element fed from a current transformer proportional to load current, simulating the thermal conductor hotspot inside the core assembly. Typical settings initiate auxiliary cooling stage 1 at 65°C, cooling stage 2 at 75°C, sound an alarm at 90°C to 105°C, and command a total trip between 110°C and 130°C in alignment with IEC 60076-7 thermal loading limits.

Restricted Earth Fault (REF) and Overcurrent Coordination

Restricted Earth Fault (REF / ANSI 64R or 87N) protection is specifically engineered to detect winding phase-to-ground faults situated close to the neutral point of a star-connected winding or an autotransformer. When a single-phase-to-earth fault develops near the neutral grounding point of a winding, the driving phase-to-neutral voltage approaches zero. Consequently, the resulting fault current is heavily choked by the residual impedance of the fault path and the low potential difference. Standard overcurrent relays (ANSI 51N) cannot distinguish this low fault current from ordinary unbalance or load fluctuations. Without REF, up to 30% to 40% of the winding near the neutral remains completely unprotected.

REF protection defines a tightly bound unit zone between the transformer neutral bushing current transformer and the phase current transformers located at the line terminals. Two configurations are widely implemented:

  1. High-Impedance REF: All phase CTs are paralleled with the neutral CT and routed across an external stabilizing resistor and a voltage-operated relay element. During an external through-fault, one or more CTs may saturate completely. The stabilizing resistor forces the resulting spill current through the saturated CT secondary winding rather than the high-impedance relay operating coil, ensuring absolute stability. Relay pickup is calibrated strictly to the calculated maximum spill voltage across the saturated circuit: V_s = I_f_max * (R_ct + 2 * R_lead), where I_f_max is the secondary through-fault current and R_lead is the wiring resistance.
  2. Low-Impedance (Biased) REF: Implemented entirely within modern digital relays, low-impedance REF requires no external power resistors. The relay measures the vector neutral current (I_neutral) and the residual current calculated from the three-phase CTs (3I0 = Ia + Ib + Ic). It evaluates the magnitude and relative phase angle between neutral and residual currents. For an internal earth fault within the defined zone, I_neutral and 3I0 are in phase (0° displacement). For an external network ground fault, I_neutral and 3I0 are 180° out of phase, allowing the digital algorithm to reliably restrain the trip output even under severe external fault conditions.

Backup protection relies on standard inverse definite minimum time (IDMT) overcurrent (51) and earth-fault (51N/51G) relays coordinated according to IEC 60255 curves (Standard Inverse, Very Inverse, or Extremely Inverse). The pickup current setting for phase overcurrent protection is typically selected between 110% and 140% of the transformer continuous full-load rating, providing overload headroom while remaining sensitive to uncleared downstream faults. The time multiplier setting (TMS) is precisely coordinated to achieve a minimum grading margin of 250 to 350 ms relative to downstream circuit breakers and switchgear outgoing feeders.

Thermal Overload, Overexcitation, and Backup Protection Systems

Thermal overload protection (ANSI 49) guards the internal solid insulation papers and dielectric liquid against irreversible, cumulative thermal aging. Cellulose paper insulation degrades exponentially according to the Montsinger and Arrhenius thermal life principles: for every 6°C increment operating above the design hotspot temperature limit of 98°C (for non-thermally upgraded paper) or 110°C (for thermally upgraded insulation), the structural mechanical tensile strength and dielectric integrity of the paper halve. Modern numerical relays calculate internal core-coil thermal dynamics using an algorithmic thermal replica model governed by IEC 60076-7, expressed mathematically as:

dθ / dt = [ ( (1 + β * K²) / (1 + β) ) * Δθ_oil_rated - θ ] / τ

where K represents the per-unit load ratio (I / I_rated), β represents the ratio of load losses to no-load losses at rated capacity, Δθ_oil_rated is the rated top-oil temperature rise over ambient, and τ represents the composite thermal time constant of the cooling system. This enables the relay to trip before winding hotspot temperatures reach critical thresholds, even when ambient temperatures surge unexpectedly.

Overexcitation protection (ANSI 24) detects elevated magnetic flux density within the core steel. Magnetic flux (Φ) in a transformer core is directly proportional to operating voltage (V) and inversely proportional to operating frequency (f). Thus, the magnetic flux density correlates directly to the Volts-per-Hertz ratio (V/f):

B_core ∝ V / f

Under normal conditions, transformers operate at flux densities between 1.6 and 1.8 Tesla, comfortably below the saturation limit of silicon steel laminations (typically 1.9 to 2.0 Tesla). However, during system load rejections, sudden disconnection of large industrial loads, or generator run-up maneuvers with voltage regulators active, the V/f ratio can spike significantly. Once the core saturates, magnetic flux escapes into non-laminated structural steel parts, such as core clamping bolts, tie plates, and the tank walls. These components lack laminated insulation, leading to massive eddy currents that can burn structural steel, melt winding insulation, and produce gas within seconds. ANSI 24 relays apply an inverse-time V/Hz curve, calibrated to trip when V/f continuously exceeds 1.05 to 1.10 per unit (p.u.) of rated values.

Power Transformer Protection Architecture Across Capacity Classes

Protection architectures vary significantly depending on asset valuation, network criticality, and power transformer capacity. Small distribution transformers prioritize cost-effective simplicity using mechanical fuses or basic overcurrent devices, whereas bulk transmission transformers demand dual-channel redundancy with fully duplicated protection schemes (Main 1 and Main 2) operating across independent battery banks, CT cores, and circuit breaker trip coils.

The engineering matrix below illustrates the standard deployment of protection systems across different capacity tiers, adhering to IEC 61936-1 and IEEE C37.91 standards:

Asset ClassCapacity / Voltage TierPrimary Electrical ProtectionBackup Electrical ProtectionMechanical & Physical Sensors
Distribution Unit< 2.5 MVA
LV / MV (≤ 33 kV)
MV Current-Limiting Fuses or Inverse Time Overcurrent (50/51)Instantaneous Earth Fault (50N/51N)Pressure Relief Vent, Top-Oil Temperature Gauge (Dial)
Medium Power Transformer2.5 MVA to 20 MVA
MV / HV (≤ 69 kV)
Biased Differential (87T), Low/High Impedance REF (64R)Overcurrent & Earth Fault (51/51N), Directional OC (67)Two-stage Buchholz (63), Tank PRD, OTI/WTI with dual-stage microswitches
Sub-Transmission Transformer20 MVA to 100 MVA
HV (69 kV to 132 kV)
Dual-slope Percentage Differential (87T), Low-Z REF (64R)Voltage-Restrained Overcurrent (51V), Thermal Model (49)Buchholz (63), PRD with trip switches, Rapid Pressure Rise (63X), OTI/WTI
Bulk Grid Autotransformer> 100 MVA
EHV (≥ 220 kV to 500 kV)
Main 1: Numerical Differential (87T) + REF (64R)
Main 2: Redundant 87T + REF (Independent CTs)
Overexcitation (24), Directional Overcurrent (67), Neutral Overcurrent (51G)Duplicated Buchholz relays, Multiple PRDs, Online DGA monitoring, Bushing CT & Tan Delta monitoring

Relay Testing, Calibration, and Commissioning Procedures

Commissioning a transformer protection scheme requires precise functional verification prior to energisation to ensure relay algorithms, current transformer polarity, and tripping loops operate flawlessly. Comprehensive testing methodologies must be conducted alongside standard electrical assessments described in our guide on how to test a transformer.

The standard commissioning workflow follows a rigid sequential progression:

  1. Current Transformer Saturation and Polarity Verification: Prior to wiring the secondary loops to the relay, conduct primary injection testing on every CT core. Verify primary-to-secondary winding polarity markings using the flicker-galvanometer or automated secondary injection set method. Plot the CT excitation magnetisation curve to verify the knee-point voltage (Vk) matches engineering calculations, ensuring the CT will not prematurely saturate during maximum symmetrical through-fault currents.
  2. Relay Secondary Current Injection: Apply three-phase secondary injection currents using an automated relay test set. Verify the minimum pickup current threshold (Slope 1 baseline). Inject variable dual currents across simulated phase shifts to trace and validate the entire percentage restraint characteristic, confirming the operational boundaries of Slope 1, Breakpoint 1, Slope 2, and the high-set unrestrained differential trip (87U).
  3. Harmonic Restraint Threshold Injection: Inject a composite waveform consisting of fundamental 50/60 Hz current superimposed with varying percentages of second-harmonic (100/120 Hz) current. Verify that the relay successfully blocks differential trip initiation when the second-harmonic component crosses the calibrated setpoint (e.g., 15%). Repeat the procedure using fifth-harmonic current to test the overexcitation restraint threshold.
  4. Low-Voltage Through-Fault Stability Testing: With the transformer de-energised and isolated from the grid, apply an external, balanced low-voltage three-phase supply (typically 400 V / 415 V) to the primary winding while solidly short-circuiting the secondary bushings with a calculated copper shorting bar. Measure the secondary differential spill current inside the relay software interface; it should measure virtually zero (typically < 0.02 p.u.), proving correct vector phase-angle compensation and CT ratio matching.
  5. End-to-End Trip Scheme and Breaker Interlock Testing: Manually actuate dry contacts from the Buchholz relay, PRD, winding temperature indicators, and the digital relay output contacts. Verify that primary and secondary circuit breaker trip coils fire instantly, the breaker auxiliary position switches transition correctly, lockout relays (ANSI 86) trip and latch, and telemetry signals report correctly to the substation automation system via IEC 61850 or Modbus protocols.

Protection of Transformer PDF Documentation and Submittal Requirements

A comprehensive engineering submittal for transformer protection encompasses rigorous documentation packages designed to satisfy utility review boards, EPC compliance auditors, and site commissioning teams. When preparing or reviewing a complete protection of transformer pdf dossier for commercial tenders or municipal substation projects, the engineering package must contain specific calculations and verified schematics.

Every professional engineering submittal must systematically compile the following core deliverables:

  • Protection Single-Line Diagram (SLD): The architectural layout detailing CT and VT locations, transformation ratios, secondary core allocations, neutral grounding configurations, ANSI device numbers, and primary isolation disconnects.
  • Protection Settings and Coordination Schedule: Tabulated relay parameter setting files, including differential bias slopes, harmonic blocking ratios, pickup thresholds, time dial multipliers (TMS), and curve equations (IEC/IEEE) backed by dynamic relay coordination time-current characteristic (TCC) log-log curves.
  • Current Transformer Sizing Calculations: Formal mathematical proof demonstrating that protective CT cores comply with IEC 61869-2 (class 5P20, 10P20) or IEEE C57.13 (C200, C400, C800) standards, ensuring that maximum through-fault currents do not force the CT secondary into deep saturation prior to relay decision-making.
  • Tripping Logic Matrix and Cause-and-Effect Architecture: A detailed Boolean logic chart cross-referencing all inputs (87T, REF, 50/51, Buchholz, PRD, WTI) against primary HV breakers, LV bus-tie breakers, transfer trip send channels, and 86 master lockout relays.
  • Factory Acceptance Test (FAT) Protection Validation Certificates: Certified relay calibration records, insulation resistance test sheets, and dynamic functional loop test sign-offs signed by registered professional engineers.

Next steps: specifying and sourcing

Specifying an optimal protection scheme requires an exact evaluation of your transformer power rating, primary and secondary system voltages, earthing arrangements, and fault level duties. When requesting an engineering proposal or quotation, provide our engineering department with your comprehensive Single Line Diagram (SLD), preferred protection relay specifications, CT ratios and accuracies, and auxiliary DC supply parameters. Our technical teams integrate protection engineering into complete power delivery packages, ranging from factory-built power transformers and oil-filled distribution units to matched medium-voltage switchgear lineups. To discuss project parameters, obtain engineering documentation, or submit your specification schedules for a detailed technical quotation, contact our technical sales group today.

Frequently asked questions

What is the difference between differential protection (87T) and restricted earth fault protection (REF)?

Differential protection (87T) balances phase currents entering and exiting the overall transformer winding zone to detect phase-to-phase and severe phase-to-ground faults. Restricted Earth Fault (REF) specifically monitors the zone between the neutral bushing and phase terminals, detecting low-current phase-to-ground faults situated close to the star winding neutral point that produce insufficient current to trigger differential relays.

Why is second-harmonic restraint necessary in transformer protection?

Second-harmonic restraint is necessary to prevent the differential relay from false tripping during initial transformer energisation. Magnetising inrush current can peak at 6 to 12 times full-load current on the energised winding only, mimicking an internal fault; detecting a high second-harmonic content (typically 15% to 20%) identifies this condition as harmless inrush and blocks the trip.

Can dry-type transformers use Buchholz relays for protection?

No, dry-type transformers cannot use Buchholz relays because they lack liquid dielectric fluid and an overhead conservator tank. Dry-type units rely instead on resistance temperature detectors (RTDs) embedded in the winding insulation, thermal models (ANSI 49), rapid overcurrent protection, and arc-flash optical detection relays to detect internal thermal and electrical faults.

What causes overexcitation in power transformers?

Overexcitation occurs when the operational ratio of voltage to frequency (Volts/Hz) exceeds the design limit of the magnetic core steel, typically above 1.05 to 1.10 per unit. This condition is triggered by sustained system overvoltages, sudden load rejections on long transmission lines, or generator operation at reduced speed while excitation systems remain active.

How does a sudden pressure relief device differ from a Buchholz relay?

A Buchholz relay detects both slow gas accumulation from minor tracking faults and moderate oil surges through the conservator pipe, whereas a pressure relief device (PRD) is a spring-loaded mechanical valve mounted on the main tank that vents bulk oil when static pressure exceeds 35 to 70 kPa, preventing tank rupture during severe arcing faults.

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