Material Selection

How core loss is measured: the Epstein frame, single-sheet tester and IEC 60404 standards

Every W/kg figure on an electrical steel datasheet comes from one specific test: strips cut to 30 mm width, stacked into a square, magnetised with perfectly sinusoidal flux at about 23 °C. Knowing that test tells you exactly what the number means, and what it leaves out.

In why electrical steel has core loss we split loss into hysteresis, eddy-current and excess components. All three depend on the flux waveform, the direction of magnetisation, mechanical stress and temperature. Measure the same sheet two different ways and you get two different answers. So the industry fixes the method in a standard, and every datasheet number is only meaningful relative to that method.

The Epstein frame: the reference test

The standard method for measuring core loss is the 25 cm Epstein frame, described in IEC 60404-2. It turns a set of strips into a closed magnetic circuit that behaves, as nearly as possible, like a transformer core with no air gap.

mean path lm = 0.94 m (a convention, not a measurement) double-lapped corner strips alternate layer by layer, pressed with 1 N winding on each limb primary + secondary, 700 turns each in total strips 280–320 mm × 30 mm half cut along, half across rolling about 25 cm square
Top view of a 25 cm Epstein frame. Strips form four limbs; at each corner they overlap alternately, layer by layer (double-lapped). Each limb carries part of the primary and secondary windings.

The key parameters, from IEC 60404-2:

  1. Strips: 30 mm ± 0.2 mm wide, 280–320 mm long, all equal in length to within ±0.5 mm. The number of strips is a multiple of four, with at least 240 g of active mass for 280 mm strips.
  2. Direction: for non-oriented steel, half the strips are cut along the rolling direction and half across it. The result is an average of the two directions.
  3. Windings: 700 turns (1,000 is also allowed) on both primary and secondary, spread over the four limbs.
  4. Path length: the effective magnetic path length is conventionally assumed to be 0.94 m. Flux crowds and turns at the corners, so the true length is not exactly known. Everyone agrees to use 0.94 m so that results are comparable.
  5. Conditions: ambient temperature 23 ± 5 °C; frequencies up to 400 Hz. IEC 60404-10 extends the method to medium frequencies, up to 10 kHz.

How the measurement works

The frame is a transformer whose core is the specimen. The primary current sets the magnetic field H; the voltage induced in the secondary tells you how fast the flux is changing, and therefore the polarisation J; the product of the two is the power flowing into the core.

Power amplifier sinusoidal flux control Primary winding N₁ turns, current i₁ Secondary winding N₂ turns, voltage u₂ Epsteinspecimen Ammeter î₁ → Ĥ = N₁î₁ / lm Wattmeter Pm = (1/T)∫ i₁·u₂ dt Voltmeter |Ū₂| → Ĵ feedback: keep u₂ sinusoidal (form factor 1.111 ± 1%)
The wattmeter method. The primary current gives H, the secondary voltage gives J, and their time-averaged product gives the power absorbed by the specimen. A feedback loop keeps the secondary voltage sinusoidal.

Step 1: cross-section from mass

Measuring the thickness of dozens of thin strips is error-prone, so the standard derives the cross-section from the specimen mass instead:

A = m / (4 · l · ρm) m = total specimen mass (kg)  •  l = strip length (m)  •  ρm = conventional density (kg/m³)  •  the 4 is for four limbs

This is why every grade has a conventional density in its specification: 7,650 kg/m³ for a 0.35 mm, 2.70 W/kg grade. It is not a precise measured value; it is the number the test agrees to use.

Step 2: polarisation from the secondary voltage

By Faraday’s law, the average rectified secondary voltage is proportional to the peak polarisation:

|Ū2| = 4 · f · N2 · A · Ĵ |Ū2| = average rectified secondary voltage (V)  •  f = frequency  •  N2 = secondary turns  •  Ĵ = peak polarisation (T)

This only holds if the flux is sinusoidal, so the standard requires the form factor (RMS divided by average rectified value) of the secondary voltage to be 1.111 ± 1%, the value for a pure sine wave. Steel near saturation distorts the magnetising current, so modern test benches use feedback control on the amplifier to keep the flux waveform sinusoidal.

Step 3: field strength from the primary current

Ĥ = N1 · î1 / lm N1 = primary turns  •  î1 = peak primary current (A)  •  lm = 0.94 m

The pairs of peak J and peak H, measured at 50 Hz, are the magnetisation curve printed on the datasheet. That is why the datasheet curve joins only the tips of the hysteresis loops.

Step 4: specific total loss

The wattmeter multiplies primary current by secondary voltage and averages over a cycle. Using the secondary voltage rather than the primary excludes the copper loss in the primary winding. After subtracting the small power drawn by the instruments, the loss is divided by the active mass, the part of the specimen inside the mean path:

Ps = Pc · 4l / (m · lm) Ps = specific total loss (W/kg)  •  Pc = measured specimen loss (W)  •  m·lm/(4l) = active mass (kg)

Worked example: M270-35A at 1.5 T, 50 Hz

Take sixteen strips of M270-35A, 280 mm × 30 mm × 0.35 mm. At 7,650 kg/m³ each weighs 22.5 g, so the specimen is 360 g. (Twelve strips would not be enough: their active mass would be only 227 g, below the 240 g minimum.)

QuantityCalculationResult
Cross-section A0.360 / (4 × 0.28 × 7,650)42.0 mm²
Secondary voltage for 1.5 T4 × 50 × 700 × 42.0×10−6 × 1.58.82 V avg (9.80 V RMS)
Peak current at 1.5 T1,700 A/m × 0.94 / 7002.28 A
Active mass0.360 × 0.94 / (4 × 0.28)302 g
Wattmeter reading for 2.47 W/kg2.47 × 0.3020.75 W

The cross-section checks out: four strips per limb × 30 mm × 0.35 mm = 42.0 mm². The 1,700 A/m comes from SURA’s M270-35A magnetisation table, and 2.47 W/kg is its datasheet loss at 1.5 T and 50 Hz. The whole test measures less than one watt.

The single-sheet tester

The second standard method, IEC 60404-3, clamps a single sheet at least 500 mm long between two U-shaped yokes made of grain-oriented steel. The yokes close the magnetic circuit, so no corners are formed in the specimen itself.

Epstein frame (IEC 60404-2)Single-sheet tester (IEC 60404-3)
SpecimenBundle of 30 mm strips, 280–320 mm longOne sheet, ≥ 500 mm long
Conventional path length0.94 m0.45 m
DirectionAverages along and across rolling (non-oriented)One direction per test
PreparationMany cut strips; cutting damage at every edgeLittle cutting, faster to run
FrequencyUp to 400 Hz; up to 10 kHz under IEC 60404-10Power frequencies
Typical roleReference method for grade certificationFaster checks; common in production control and research

The two methods do not give identical numbers for the same steel, which is why a datasheet should state which one it used. SURA, for example, states that its losses are measured on a 25 cm Epstein frame to IEC 60404-2, and IS 648 specifies the Epstein frame for acceptance testing.

The standards map

Two kinds of standard work together. Measurement standards define how to test. Product specifications define the grades, and the maximum loss each grade must meet using that test.

StandardTypeWhat it covers
IEC 60404-2MeasurementEpstein frame, up to 400 Hz
IEC 60404-3MeasurementSingle-sheet tester, power frequencies
IEC 60404-10MeasurementMedium frequencies, up to 10 kHz
IEC 60404-6MeasurementRing specimens, 20 Hz to 100 kHz
IEC 60404-8-4 / EN 10106Product specNon-oriented, fully processed grades (M270-35A etc.)
IS 648 / IS 649Spec / measurementIndian grades (35C270 etc.) and test methods
ASTM A343MeasurementUS Epstein method: 50–60 Hz, 25–400 Hz with suitable instruments, up to 1.5 T for non-oriented steel
ASTM A804MeasurementUS sheet-type specimens at power frequencies
ASTM A677Product specUS non-oriented, fully processed grades

Reading the grade specification

The grade name encodes the test result. Under EN 10106 and IEC 60404-8-4, M270-35A means a maximum specific total loss of 2.70 W/kg at 1.5 T and 50 Hz, a nominal thickness of 0.35 mm, and A for non-oriented, fully processed steel. India’s IS 648 reorders the same information: 35C270 is 0.35 mm, cold rolled, 2.70 W/kg.

The specification then sets the limits every coil must meet. For this grade, IS 648:2022 requires:

35C270 / M270-35AIS 648 limitSURA typical
Loss at 1.5 T, 50 Hz≤ 2.70 W/kg2.47 W/kg
Loss at 1.0 T, 50 Hz1.10 W/kg (for information)1.01 W/kg
Loss at 1.5 T, 60 Hz≤ 3.36 W/kg—
Polarisation at 2,500 / 5,000 / 10,000 A/m≥ 1.49 / 1.60 / 1.70 T1.54 / 1.65 / 1.77 T
Anisotropy of loss at 1.5 T≤ ±17%—
Stacking factor≥ 0.95—
Conventional density7.65 kg/dm³—

Three things to take from this table:

  1. Guaranteed is not typical. The grade name is a ceiling. SURA’s typical value sits about 9% below it. Design with typical values, but know that any delivered coil may be anywhere up to the limit.
  2. J, not B. Standards specify magnetic polarisation J = B − μ0H, the part of the flux density that comes from the material. At 10,000 A/m the difference is μ0H = 0.013 T, negligible below saturation but worth knowing when comparing curves.
  3. Only one point is guaranteed. The specification fixes loss at 1.5 T and 50/60 Hz. Everything else on a manufacturer’s datasheet, including the high-frequency loss tables, is typical data, provided for information.

Anisotropy, in IS 648, is (P⊥ − P∥) / (P⊥ + P∥) × 100, where the two losses are measured across and along the rolling direction. “Non-oriented” does not mean identical in every direction: up to ±17% is allowed for this grade.

What the test leaves out

The Epstein test is designed to rank materials fairly, not to predict the loss in your motor. Each condition that makes it repeatable is one your motor does not share:

Epstein testReal motor coreEffect
Sinusoidal fluxPWM harmonics and non-sinusoidal flux in the teethExtra eddy loss and minor hysteresis loops
Alternating flux along one axisRotating flux near tooth roots and in the back ironRotational loss, not measured by the test
Carefully cut 30 mm stripsPunched or laser-cut narrow teethDamaged edge zone, reported as 1 mm to several mm wide, is a larger fraction of a narrow tooth
No mechanical stressPress fit, shrink fit into housing, welding, interlockingCompressive stress raises hysteresis loss
23 ± 5 °COften 80–150 °C in operationResistivity rises with temperature, lowering eddy loss; other effects vary by grade
Fixed test pointsYour frequency and flux densityMay fall outside the published table

That last row is easy to check. Here is every point in SURA’s M270-35A loss table, with three example motors:

0.0 0.5 1.0 1.5 2.0 50 100 200 400 1000 2500 Frequency (Hz), log scale Peak polarisation J (T) Datasheet point: 50 Hz, 0.1 T Datasheet point: 50 Hz, 0.2 T Datasheet point: 50 Hz, 0.3 T Datasheet point: 50 Hz, 0.4 T Datasheet point: 50 Hz, 0.5 T Datasheet point: 50 Hz, 0.6 T Datasheet point: 50 Hz, 0.7 T Datasheet point: 50 Hz, 0.8 T Datasheet point: 50 Hz, 0.9 T Datasheet point: 50 Hz, 1.0 T Datasheet point: 50 Hz, 1.1 T Datasheet point: 50 Hz, 1.2 T Datasheet point: 50 Hz, 1.3 T Datasheet point: 50 Hz, 1.4 T Datasheet point: 50 Hz, 1.5 T Datasheet point: 50 Hz, 1.6 T Datasheet point: 50 Hz, 1.7 T Datasheet point: 50 Hz, 1.8 T Datasheet point: 100 Hz, 0.1 T Datasheet point: 100 Hz, 0.2 T Datasheet point: 100 Hz, 0.3 T Datasheet point: 100 Hz, 0.4 T Datasheet point: 100 Hz, 0.5 T Datasheet point: 100 Hz, 0.6 T Datasheet point: 100 Hz, 0.7 T Datasheet point: 100 Hz, 0.8 T Datasheet point: 100 Hz, 0.9 T Datasheet point: 100 Hz, 1.0 T Datasheet point: 100 Hz, 1.1 T Datasheet point: 100 Hz, 1.2 T Datasheet point: 100 Hz, 1.3 T Datasheet point: 100 Hz, 1.4 T Datasheet point: 100 Hz, 1.5 T Datasheet point: 200 Hz, 0.1 T Datasheet point: 200 Hz, 0.2 T Datasheet point: 200 Hz, 0.3 T Datasheet point: 200 Hz, 0.4 T Datasheet point: 200 Hz, 0.5 T Datasheet point: 200 Hz, 0.6 T Datasheet point: 200 Hz, 0.7 T Datasheet point: 200 Hz, 0.8 T Datasheet point: 200 Hz, 0.9 T Datasheet point: 200 Hz, 1.0 T Datasheet point: 200 Hz, 1.1 T Datasheet point: 200 Hz, 1.2 T Datasheet point: 200 Hz, 1.3 T Datasheet point: 200 Hz, 1.4 T Datasheet point: 200 Hz, 1.5 T Datasheet point: 400 Hz, 0.1 T Datasheet point: 400 Hz, 0.2 T Datasheet point: 400 Hz, 0.3 T Datasheet point: 400 Hz, 0.4 T Datasheet point: 400 Hz, 0.5 T Datasheet point: 400 Hz, 0.6 T Datasheet point: 400 Hz, 0.7 T Datasheet point: 400 Hz, 0.8 T Datasheet point: 400 Hz, 0.9 T Datasheet point: 400 Hz, 1.0 T Datasheet point: 400 Hz, 1.1 T Datasheet point: 400 Hz, 1.2 T Datasheet point: 400 Hz, 1.3 T Datasheet point: 400 Hz, 1.4 T Datasheet point: 400 Hz, 1.5 T Datasheet point: 1000 Hz, 0.1 T Datasheet point: 1000 Hz, 0.2 T Datasheet point: 1000 Hz, 0.3 T Datasheet point: 1000 Hz, 0.4 T Datasheet point: 1000 Hz, 0.5 T Datasheet point: 1000 Hz, 0.6 T Datasheet point: 1000 Hz, 0.7 T Datasheet point: 1000 Hz, 0.8 T Datasheet point: 1000 Hz, 0.9 T Datasheet point: 1000 Hz, 1.0 T Datasheet point: 1000 Hz, 1.1 T Datasheet point: 2500 Hz, 0.1 T Datasheet point: 2500 Hz, 0.2 T Datasheet point: 2500 Hz, 0.3 T Datasheet point: 2500 Hz, 0.4 T Datasheet point: 2500 Hz, 0.5 T Datasheet point: 2500 Hz, 0.6 T Datasheet point: 2500 Hz, 0.7 T Datasheet point: 2500 Hz, 0.8 T Datasheet point: 2500 Hz, 0.9 T Datasheet point: 2500 Hz, 1.0 T covered by the loss table 4-pole, 1,500 rpm: 50 Hz, 1.5 T 12s/10p, 6,000 rpm: 500 Hz, 1.6 T 8-pole, 20,000 rpm: 1333 Hz, 1.4 T 4-pole, 1,500 rpm, 50 Hz, 1.5 T 12s/10p, 6,000 rpm500 Hz, teeth at 1.6 T 8-pole, 20,000 rpm1,333 Hz at 1.4 T datasheet test point example motor operating point
Frequency and polarisation combinations in the SURA M270-35A loss table. A 50 Hz industrial motor sits inside the data; a 500 Hz servo with teeth at 1.6 T, or a 20,000 rpm spindle, is already outside it.

At 50 Hz the table runs to 1.8 T. At 400 Hz it stops at 1.5 T, and at 1 kHz at 1.1 T. Suppliers rarely test there: at high frequency and high polarisation the specimen absorbs tens of watts per kilogram and heats up during the measurement. High-speed motors operate exactly in that missing corner, so their core loss is always an extrapolation. How far a loss model fitted to the table can safely be stretched is the subject of core loss models compared.

What this means for motor design

  1. Check which test produced the numbers. Epstein and single-sheet results differ; so do 50 Hz and 60 Hz ratings. Compare grades from the same method.
  2. Use the guaranteed limit for worst-case losses and the typical value for expected performance.
  3. Plot your operating points on the loss table. If they sit outside it, ask the supplier for data at your frequency and flux density, or treat the loss as an estimate with a wide margin.
  4. Add a manufacturing allowance. Punching, stacking and fitting add loss the datasheet cannot know about. Narrow teeth and small motors are affected most.
  5. Measure your own core when it matters. A ring specimen (IEC 60404-6) punched with your production tool, or a test on the finished stator, captures cutting damage that datasheet strips do not.

Summary

Datasheet core loss comes from a standard test, most often the 25 cm Epstein frame of IEC 60404-2: 30 mm strips, half along and half across the rolling direction, sinusoidal flux with a form factor of 1.111, a conventional path length of 0.94 m, at 23 °C. The secondary voltage gives J, the primary current gives H, and a wattmeter gives the loss per kilogram of active mass. Product standards such as EN 10106, IEC 60404-8-4 and IS 648 turn one of those measurements, the loss at 1.5 T and 50 Hz, into the grade name and its guaranteed limit. Everything else on the datasheet is typical data measured under ideal conditions, so the loss in a real motor, with its punched edges, stresses, rotating flux and PWM harmonics, will be higher.

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