Mutual inductance#

The Mutual inductance block is a model of a system consisting of two inductively coupled windings. Voltages on windings are determined based on the following system of equations (1):

(1)#\[U_1=I_1\cdot R_1+L_1\cdot \frac{∆I_1}{∆t}+M\cdot \frac{∆I_2}{∆t}; U_2=I_2\cdot R_2+L_2\cdot \frac{∆I_2}{∆t}+M\cdot \frac{∆I_1}{∆t}. \]

where:

\(U_1\), \(U_2\) - voltages of the first and second windings, [V];

\(I_1\), \(I_2\) - currents of the first and second windings, [A];

\(R_1\), \(R_2\) - active resistances of the first and second windings, [Ohm];

\(L_1\), \(L_2\) - inductances of the first and second winding, [H];

M - mutual inductance of the first and second windings, [H], is defined as (2):

(2)#\[ M=k\cdot \sqrt {L_1\cdot L_2 }, \]

where the k - coefficient of windings coupling (can take values in range (-1;1))

1. Properties#

Property	Default Value	Description	Units of measurement
Active resistance of winding one	1.1	–	Ohm
Inductance of winding one	1.1e-3	–	H
Active resistance of winding two	1.1	–	Ohm
Inductance of winding two	1.1e-3	–	H
Initial currents of windings	0.0;0.0	Data structure: \(I_{10}\);\(I_{20}\)	А
Coupling coefficient	0.9999999	–	–

2. Inputs and outputs#

Parameters	Input/Output	Description	Units of measurement	Port type
1+	Input	-	-	Electronics
1-	Output	-	-	Electronics
2+	Input	-	-	Electronics
2-	Output	-	-	Electronics

In order to see the connection capabilities of the block, you need to go to page Description of block ports