impedance measurement of copper wire by fraapplication info impedance measurement of copper wire by...

APPLICATION INFO Impedance Measurement of Copper Wire by FRA KEY WORDS PRODUCTS Copper wire Transformer Motor Copper loss / Iron loss As energy conservation advances, transformers and motors are becoming more efficient. Improvement of efficiency requires reduction of loss (iron loss and copper loss). The parts used in the devices are operating at high frequency. Therefore, we should evaluate the copper wire used in the devices in a state close to the actual condition, that is, at high frequency. By combining FRA (Frequency Response Analyzer) with Bipolar DC Power Supply operated in CC mode, high frequency impedance characteristics of copper wire can be measured. Key Features Constant current operation Measurement can be made with the AC constant current and the DC constant current (bias current) applied Frequency Response Analyzer FRA 5097 can measure and display the impedance frequency characteristics Frequency Response Analyzer FRA5097, Bipolar DC Power Supply BP4610 Measurement Example Frequency Response Analyzer FRA5097 Voltage measurement Copper wire (folded in half) Shunt resistor Current measurement Bipolar DC Power Supply BP4610 CH1 CH2 OUT IN OSC

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Page 1: Impedance Measurement of Copper Wire by FRAAPPLICATION INFO Impedance Measurement of Copper Wire by FRA KEY WORDS PRODUCTS • Copper wire • Transformer • Motor • Copper loss

APPLICATION INFO

Impedance Measurement of Copper Wire by FRAKEY WORDS

PRODUCTS

• Copper wire • Transformer • Motor • Copper loss / Iron loss

As energy conservation advances, transformers and motors are becoming more efficient. Improvement of efficiency requires reduction of loss (iron loss and copper loss). The parts used in the devices are operating at high frequency. Therefore, we should evaluate the copper wire used in the devices in a state close to the actual condition, that is, at high frequency.By combining FRA (Frequency Response Analyzer) with Bipolar DC Power Supply operated in CC mode, high frequency impedance characteristics of copper wire can be measured.

Key Features Constant current operation Measurement can be made with the AC constant current and the DC constant current (bias current) applied

Frequency Response Analyzer FRA 5097 can measure and display the impedance frequency characteristics

Frequency Response Analyzer FRA5097, Bipolar DC Power Supply BP4610

Measurement Example

Frequency Response AnalyzerFRA5097

Voltage measurement

Copper wire(folded in half)

Shunt resistor1ΩCurrent

measurement

Bipolar DC Power SupplyBP4610

CH1 CH2 OUT INOSC

- -

Page 2: Impedance Measurement of Copper Wire by FRAAPPLICATION INFO Impedance Measurement of Copper Wire by FRA KEY WORDS PRODUCTS • Copper wire • Transformer • Motor • Copper loss

■ Measurement Result Impedance/Phase vs. Frequency of 3 Different Diameter Wires

Frequency [Hz]

10 50 100 500 1k 5k 10k 50k

10Hz

Phase [deg]

90

60

30

0

Z [Ω]1

500m

200m

100m

50m

20m

10m

5m

2m

1m

φ1.8mm Z

φ3.3mm Z

φ2.2mm Z

φ2.2mm Phase

φ1.8mm Phase

φ3.3mm Phase

Measurement setup

Measure the impedance of the copper wire at constant current by Frequency Response Analyzer FRA5097 and Bipolar DC Power Supply (BP4610).

Measure the voltage across the copper wire and the current flowing through the copper wire using a shunt resistance (1 Ω), and graphically display the impedance frequency characteristics.

The samples are the impedance of copper wires with different diameters. The current is sine wave 6 Apk, and the frequency range is 10 Hz - 70 kHz.

Measurement result

The Impedance is constant up to around 100 Hz, the influence due to frequency change is small, but it is considered that the reactance is influencing beyond around 1 kHz.

The impedance change of copper wire of 3.3 is different compared to others. The wiring shape may be affecting.

Page 3: Impedance Measurement of Copper Wire by FRAAPPLICATION INFO Impedance Measurement of Copper Wire by FRA KEY WORDS PRODUCTS • Copper wire • Transformer • Motor • Copper loss

Bipolar DC Power Supply BP4610 / BP4620

Wide range bipolar power supply capable of constant current / constant voltage output

BP4610

BP4610

● Output voltage ±60 V (120 Vp-p) Available from ±30 A to ±100 A

● Output current BP4610: ±10 A, BP4620: ±20 A Available from ±30 A to ±100 A

● Frequency range DC - 150 kHz maximum (at CV) DC - 70 kHz at maximum (at CC)

● Voltage / current four quadrant output ● Built-in 255 steps sequential signal source

BP4610

Measuring Equipment

Frequency Response Analyzer FRA5087 / FRA5097

For measurement of servo characteristics, loop characteristics, impedance characteristics, resonance characteristics

FRA5097

FRA5097

● Frequency range FRA5087: 0.1mHz - 10MHz FRA5097: 0.1mHz - 15MHz

● Amplitude accuracy ±0.05 dB ● Phase accuracy ±0.3° ● Dynamic range 140dB ● Isolation voltage 250Vrms max. ● Automatic integration, amplitude compression, calculation function, impedance display function

● Bode diagram, Nyquist diagram, Nichols plot, Cole-Cole plot

FRA5097