Coplanar Rectangular Inductor
Equivalent Circuit
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Coplanar Rectangular Inductor

The C_IDC module represents a rectangular spiral inductor between two coplanar lines. WT is the width of turns, ST the distance between turns and S the distance to the ground planes. The dimensions of connected lines at ports are defined using data items addressed by C_ LTYP1 and C_LTYP2. The type and dimensions of the air-bridge as back track are defined by the airtype data item C_BTR. L1 and L2 are the length of coplanar lines connected at ports.


Parameter Description Range of Usage
L1  Length of transmission line connected to the port 1  
L2  Length of transmission line connected to the port 2  
N Number of turns (positive contra clock wise, negative clock wise) |N|=1.5, 2.5, 3.5, ...
WT Track width n/2.DL (n=1,2,3,...)
ST Slot between tracks n/2.DL (n=2,3,4,...)
I_DIA1 Inner diameter 1 (I_DIA1 ST) n/2.DL (n=1,2,3,...)
I_DIA2 Inner diameter 2 n/2.DL (n=1,2,3,...)
S Slot between track and ground n/2.DL (n=1,2,3,...)
INDLEVEL Identification of metal level of inductor turns 1 or 2 (DEFAULT Foundry)
C_LTYP1 ID of coplanar transmission line applied at ports 1  
C_LTYP2 ID of coplanar transmission line applied at ports 2  
C_SUB ID of coplanar substrate definition  
C_GRID ID of simulation control data  
TEMP ID of element temperature definition used for noise computation  


Equivalent Circuit  

For the modeling of the C_RIND element, a broadband network is used. Each segment (one turn is built of four segments) is represented by a p-network consisting of two capacitances Cpi and Cpi+1 (parasitic electric fields of the segment to the ground), an inductance Li (self inductance of the segment and the mutual inductance due to the magnetic coupling between the segments) and a frequency dependent resistance Ri(losses of the segment). The electrical coupling between theturns is represented by the capacitance Cs.

As a result of the broadband modelling, the traveling wave effects along the turns is taken into account. The equivalent circuit parameters are derived from quasi-static FD-calculations. The connected line at ports are modeled as C_LIN elements and are represented by their characteristic mpedances ZL1, ZL2 and phase constants b1, b2. There is no limitation due to the length of connected lines (L1 and L2).