Three-dimensional Saddle-shaped Coils: Combinations of Main Magnetic Field Uniform Coils, First-order Gradient Coils, Second-order Gradient Coils, etc.

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Three-dimensional saddle-shaped coils P1

Overall Dimensions: 340mm(L) x 340mm(W) x 480mm(H)

Performance test report

Introduction
1. Test purpose
Through the analysis of the test results, the evaluation of the product performance is obtained; Evaluate whether the test product meets the technical requirements; Provide reference data for product design and after-sales service, and provide a strong basis for leaving the factory.
2. Basic information
Product Name: Three-dimensional saddle coil		Product model:	Customized
		Test time:	April 2, 2026
3. Testing environment
The detection environment is closer to the actual environmental conditions used by the user, including factors such as lead wire length and ambient temperature. The time is selected in the time interval where the fluctuation of the geomagnetic field is small. Before the test, the instruments required for the test were turned on and warmed up in advance and the measurement environment was recorded, as shown in Table 1.
Measurement environment
Environment temperature	Product initial temperature	Lead length	Environmental magnetic field
15.0℃	15.0℃	-	0~30000nT
Table 1 Measurement environment data

Magnetic field parameter test
1. Using the device
DX-F2031 power supply DX-330F Fluxgate Magnetometer

2. Magnetic field measurement
This product uses the following measurement methods: Fixed-point measurement: measure the magnetic field at the target point

Magnetic field strength
No.	Display current (A)	Display voltage Voltage (V)	Magnetic field strength（Gs）
Main magnetic field uniformity coil	0.1	-	1.14637
Note	Magnetic field uniformity and gradient were measured outside the shielded container.
Table 2 Magnetic field strength data

Main magnetic field uniform coil; magnetic field uniformity
Main magnetic field uniform coil	Measurement area	Measurement current	Central magnetic field (nT)	Maximum magnetic field (nT)	Minimum magnetic field (nT)	Uniformity
	Axial ±15mm	0.1A	114637.789	114692.20	114623.8	0.0475%
Coordinates			Magnetic field strength (nT)
-15			114692.195
-12			114658.727
-9			114668.453
-6			114660.727
-3			114673.859
0			114637.789
3			114677.039
6			114677.094
9			114655.242
12			114640.273
15			114623.836
Table 3: Main Magnetic Field Uniform Coil Magnetic Field Uniformity

First-order gradient coil, magnetic field gradient
First-order gradient coil	Measurement area	Measurement current
	Axial ±15mm	0.05A
Coordinates			Magnetic field strength (nT)
-15			228.267		Magnetic field gradient (nT/cm)
-12			184.917		144.499
-9			138.583		154.447
-6			94.250		147.777
-3			43.816		168.112
0			-1.615		151.439
3			-48.250		155.449
6			-94.768		155.059
9			-139.717		149.831
12			-185.867		153.835
15			-232.767		156.331
Table 4: Magnetic field gradient of a first-order gradient coil

Second-order gradient coil magnetic field gradient
Second-order gradient coil	Measurement area	Measurement current
	Axial ±15mm	0.02A
Coordinates			Magnetic field strength (nT)		First-order gradient (nT/cm)	Second-order gradient (nT/cm²)
-15			1553.721
-12			1541.880		39.469
-9			1532.896		29.945	31.745
-6			1526.496		21.333	28.709
-3			1523.037		11.532	32.669
0			1522.180		2.855	28.924
3			1523.720		-5.131	26.621
6			1527.910		-13.967	29.453
9			1534.617		-22.357	27.964
12			1543.920		-31.008	28.839
15			1555.773		-39.512	28.344
Table 4: Magnetic field gradient of a first-order gradient coil

#1 Saddle-shaped Uniform Coil: Magnetic Field Uniformity
#1 Saddle-shaped Uniform Coil	Measurement area	Measurement current	Central magnetic field (nT)	Maximum magnetic field (nT)	Minimum magnetic field (nT)	Uniformity
	Axial ±15mm	0.02A	809.86	809.9031	806.8533	-0.3709%
Coordinates			Magnetic field strength (nT)
-15			809.7561
-10			806.8533
15			807.519
0			809.8567
5			809.9031
10			807.2448
15			808.6083
Table 6: Magnetic Field Uniformity of #1 Saddle-Shaped Uniform Coil

#2 Saddle-shaped uniform coil: Magnetic field uniformity
#2 Saddle-shaped uniform coil	Measurement area	Measurement current	Central magnetic field (nT)	Maximum magnetic field (nT)	Minimum magnetic field (nT)	Uniformity
	Axial ±15mm	0.02A	805.1805	805.1805	802.1268	-0.3793%
Coordinates			Magnetic field strength (nT)
-15			802.6536
-10			803.528
15			803.9253
0			805.1805
5			803.6386
10			802.4497
15			802.1268
Table 7: Magnetic Field Uniformity of #2 Saddle-Shaped Uniform Coil

#3 Saddle-shaped gradient coil Magnetic field gradient
#3 Saddle-shaped gradient coil	Measurement area	Measurement current
	Axial ±15mm	0.1A
Coordinates			Magnetic field strength (nT)
-15			-389.5996		Magnetic field gradient (nT/cm)
-10			-259.7324		-259.7344
-5			-129.0332		-261.3984
0			1.168		-260.4024
5			133.7012		-265.0664
10			261.3008		-255.1992
15			392.5996		-262.5976
Table 8: Magnetic Field Gradient of #3 Saddle-Shaped Gradient Coil

Cos1, 2, and 3 coils: Magnetic field uniformity
Cos1, 2, and 3 coils	Measurement area	Measurement current	Central magnetic field (nT)	Maximum magnetic field (nT)	Minimum magnetic field (nT)	Uniformity
	Axial ±15mm	0.1A	1054.9568	1058.9784	1051.0259	0.3812%
Coordinates			Magnetic field strength (nT)
-15			1057.5309
-10			1056.1741
15			1058.9784
0			1054.9568
5			1053.0576
10			1051.0259
15			1055.3011
Table 9: Magnetic field uniformity of Cos1, 2, and 3 coils

Cos4, 5, and 6 coils: Magnetic field uniformity
Cos4, 5, and 6 coils	Measurement area	Measurement current	Central magnetic field (nT)	Maximum magnetic field (nT)	Minimum magnetic field (nT)	Uniformity
	Axial ±15mm	0.1A	1046.5673	1046.655	1044.3795	-0.2090%
Coordinates			Magnetic field strength (nT)
-15			1044.3795
-10			1045.7512
15			1046.655
0			1046.5673
5			1045.6038
10			1046.6227
15			1045.3131
Table 10: Magnetic Field Uniformity of Cos4, 5, and 6 Coils

Electrical parameter test
1. Using equipment
Digital multimeter Impedance analyzer

2. Test method
The digital instrument with bridge circuit and voltammetry is used for measurement. The measurement results are shown in the table below.
Resistance R measurement
Environment temperature	Product temperature	Measuring resistance	ResistanceR@20℃	ResistanceR@85℃
Main magnetic field coil	15.0℃	75.065Ω	76.832Ω	99.805Ω
First-order gradient coil	15.0℃	2.985Ω	3.055Ω	3.969Ω
Second-order gradient coil	15.0℃	9.550Ω	9.775Ω	12.697Ω
Second-order gradient coil	15.0℃	3.919Ω	4.011Ω	5.211Ω
#1 Saddle-shaped uniform coil	15.0℃	2.960Ω	3.030Ω	3.936Ω
#1 Saddle-shaped uniform coil	15.0℃	2.950Ω	3.019Ω	3.922Ω
#2 Saddle-shaped uniform coil	15.0℃	2.970Ω	3.040Ω	3.949Ω
#2 Saddle-shaped uniform coil	15.0℃	2.950Ω	3.019Ω	3.922Ω
#3 Saddle-shaped gradient coil	15.0℃	6.930Ω	7.093Ω	9.214Ω
#1 Saddle-shaped gradient coil	15.0℃	6.910Ω	7.073Ω	9.187Ω
Cos1 coil	15.0℃	1.610Ω	1.648Ω	2.141Ω
Cos1 coil	15.0℃	1.620Ω	1.658Ω	2.154Ω
Cos2 coil	15.0℃	1.620Ω	1.658Ω	2.154Ω
Cos2 coil	15.0℃	1.610Ω	1.648Ω	2.141Ω
Cos3 coil	15.0℃	1.410Ω	1.443Ω	1.875Ω
Cos3 coil	15.0℃	1.410Ω	1.443Ω	1.875Ω
Cos4 coil	15.0℃	1.370Ω	1.402Ω	1.822Ω
Cos4 coil	15.0℃	1.360Ω	1.392Ω	1.808Ω
Cos5 coil	15.0℃	1.330Ω	1.361Ω	1.768Ω
Cos5 coil	15.0℃	1.320Ω	1.351Ω	1.755Ω
Cos6 coil	15.0℃	1.248Ω	1.277Ω	1.659Ω
Cos6 coil	15.0℃	1.250Ω	1.279Ω	1.662Ω
Table 11: Resistance R Data

Conclusion
The magnetic field and electrical performance of the product meet the requirements of the corresponding technical parameters. The final performance of the product is subject to this document.

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Three-dimensional Saddle-shaped Coils: Combinations of Main Magnetic Field Uniform Coils, First-order Gradient Coils, Second-order Gradient Coils, etc.

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