Induction machine equations

MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01CAF44D.5B263450" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Windows® Internet Explorer®. ------=_NextPart_01CAF44D.5B263450 Content-Location: file:///C:/EACDA293/immatrixeqs.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="windows-1252" Induction machine equations

Matrix formulation of induction machine equations in phase variables:

Coupled circuit representation of an ind= uction machine

Parameters:

=3D =3D

=3D

=3D =3D

⁼

Resistance = matrix : Inductance matrix :

=3D

Variables:=

         ^t

⁼ ^t

where ; ;

Constitutive flux= -current relations:     =

Electrical system= equations:

                         =

Electromagnetic torque:

        <= /span> where =3D magnetic co-energy

Mechanical <= span style=3D'mso-spacerun:yes'> system equations:

          ;          =

Nomenclature:

=3D Stator resistance [Ohm]                                                =3D Peak phase voltage [V] <= /span>

=3D Rotor resistance [Ohm]                                                <= /span> =3D Base frequency [rad/s]                =

=3D Stator leakage inductance [H]                                       =3D Moment of inertia= [kg.m²]=

=3D Rotor leakage inductance [H]                                      =3D Frictional coefficient

=3D maximum single-ph= ase mutual inductance                  =3D Number of poles
         between stator and rotor phase [H]                          =3D Rotor speed [electrical rad/s]

       =3D magnetizing (3-phase) inductance                          =   =3D Rotor position [rad]

        =3D Mutual inductance between a s= tator and a rotor phase

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