Non-wound gradient coil for magnetic resonance imaging system and its design method
A technology of magnetic resonance imaging and gradient coils, applied in the direction of measuring magnetic variables, measuring devices, instruments, etc., can solve the problem of increasing energy consumption, heat generation and system response time, reducing the space utilization rate of magnetic resonance systems, and increasing gradient coils Inductance, resistance and other issues to achieve the effect of ensuring high consistency, improving space utilization, and reducing coil resistance
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Embodiment 1
[0060] The non-wound gradient coil and its design method for the magnetic resonance imaging system of the present invention will be described in the form of parameter structure optimization.
[0061] Step 1: Parametric modeling: introduce design variables, objective function to establish a non-winding gradient coil analysis model, such as figure 1 Shown is the physical model of a cylindrical gradient coil; where
[0062] Create a linetype f(r 0 ,θ,z) can be expressed as:
[0063]
[0064] Among them, (r 0 ,θ,z) corresponds to the coordinates of the line in the cylindrical coordinate system, r 0 is the radius of the cylindrical design surface, and g (θ) is the characteristic parameter equation of the selected line type (chosen in this embodiment n=2,4,6,..., b, n are design parameters, and the parametric equation of this patent is not limited to this form);
[0065] According to the Biot-Savart law
[0066]
[0067] in, is the field point coordinates, is the co...
Embodiment 2
[0076] The non-wound gradient coil and its design method for the magnetic resonance imaging system of the present invention will be described below in the way of topology optimization.
[0077] Step 1: If Figure 3a and Figure 3b As shown, the topology optimization of the continuum is used, and the physical quantity of the electromagnetic coil (such as the electrical conductivity σ(ρ)) is used as the design variable to optimize the distribution of the conductive material; the design variable can be expressed as:
[0078] σ(ρ)=σ Air +ρ p (σ Cu -σ Air )
[0079] where σ Air is the conductivity of air, σ Cu is the conductivity of the conductive material used, copper is used in this model, p is the penalty term; ρ is the design variable:
[0080]
[0081] The design variables satisfy the continuity equation:
[0082]
[0083] where V is the electric potential;
[0084] Then according to the Biot-Savart law:
[0085]
[0086] B available z expression for:
[...
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