Permagnetic synchronous motor fractional order equivalentcircuit model and its discrimination method
Permagnetic synchronous motor fractional order equivalentcircuit model and its discrimination method
 CN 107,124,127 A
 Filed: 07/07/2017
 Published: 09/01/2017
 Est. Priority Date: 07/07/2017
 Status: Active Application
First Claim
1. a kind of permagnetic synchronous motor fractional order equivalentcircuit model, it is characterized in that：
 Including the d axle equivalent electrics under rotating coordinate systemRoad and q axle equivalent circuits, two equivalent circuits include be sequentially connected motor correspondence shaft voltage, motor stator winding resistance,Motor respective shaft fractional order inductance, the voltage source of respective shaft current control, wherein, q axles equivalent circuit also includes by rotor permanent magnetThe voltage source of the magnetic flux control of body, the order of the fractional order inductance is determined based on least squares identification model.
Chinese PRB Reexamination
Abstract
The invention discloses a kind of permagnetic synchronous motor fractional order equivalentcircuit model and its discrimination method, including the d axles equivalent circuit under rotating coordinate system and q axle equivalent circuits, two equivalent circuits include motor correspondence shaft voltage, motor stator winding resistance, motor respective shaft fractional order inductance, the voltage source of respective shaft current control being sequentially connected, wherein, q axles equivalent circuit also includes the voltage source controlled by the magnetic flux of rotor permanent magnet, and the order of the fractional order inductance is determined based on least squares identification model.The introducing of fractional order make it that model dynamic property is more excellent, steadystate behaviour precision is higher.Become rank parameter due to adding fractional order, model obtains more frees degree, bigger flexibility and new meaning, with higher application value.

4 Citations
A kind of complete triphase flow of the permanent magnet synchronous motor with starlike connection  
Patent #
CN 108,363,877 A
Filed 02/24/2018

Current Assignee

Based on the charge states of lithium ion battery estimation method for improving fractional model  
Patent #
CN 110,068,772 A
Filed 05/06/2019

Current Assignee

Compound control method based on vector control system of permanent magnet synchronous motor  
Patent #
CN 102,122,916 A
Filed 04/18/2011

Current Assignee

METHOD AND SYSTEM FOR CALIBRATING ROTOR POSITION OFFSET OF AN ELECTRIC MOTOR  
Patent #
US 20120217912A1
Filed 06/27/2011

Current Assignee
N/A

7 Claims

1. a kind of permagnetic synchronous motor fractional order equivalentcircuit model, it is characterized in that：
 Including the d axle equivalent electrics under rotating coordinate systemRoad and q axle equivalent circuits, two equivalent circuits include be sequentially connected motor correspondence shaft voltage, motor stator winding resistance,Motor respective shaft fractional order inductance, the voltage source of respective shaft current control, wherein, q axles equivalent circuit also includes by rotor permanent magnetThe voltage source of the magnetic flux control of body, the order of the fractional order inductance is determined based on least squares identification model.

2. a kind of permagnetic synchronous motor fractional order equivalentcircuit model as claimed in claim 1, it is characterized in that：
 Described d axles etc.Circuit is imitated, circuit voltage equation is expressed asIn formula, u_{d}For motor d shaft voltages；
i_{d}、
i_{q}PointWei not motor d axles and q shaft currents；
L_{q}Respectively motor q axles fractional order inductance size；
R_{s}For motor stator winding resistance；
n_{p}It is fixedThe number of polepairs of sub winding；
ω
_{m}For the mechanical angular speed of rotor.
 Described d axles etc.Circuit is imitated, circuit voltage equation is expressed asIn formula, u_{d}For motor d shaft voltages；

3. a kind of permagnetic synchronous motor fractional order equivalentcircuit model as claimed in claim 1, it is characterized in that：
 Described q axles etc.Circuit is imitated, circuit voltage equation is expressed asIn formula, u_{q}RespectivelyMotor q shaft voltages；
ψ
_{f}For the magnetic flux of rotor permanent magnet.
 Described q axles etc.Circuit is imitated, circuit voltage equation is expressed asIn formula, u_{q}RespectivelyMotor q shaft voltages；

4. a kind of permagnetic synchronous motor fractional order equivalentcircuit model as claimed in claim 1, it is characterized in that：
 Described permanent magnetismSynchronous motor fractional order equivalentcircuit model, its output torque is expressed as T_{e}=n_{p}[ψ
_{f}+(L_{d}L_{q})i_{d}]i_{q}, in formula, T_{e}For motorOutput torque.
 Described permanent magnetismSynchronous motor fractional order equivalentcircuit model, its output torque is expressed as T_{e}=n_{p}[ψ

5. a kind of permagnetic synchronous motor fractional order equivalentcircuit model as claimed in claim 1, it is characterized in that：
 Described fractionRank inductance, the fractional order inductor models of actual inductance characteristic are described using fractional calculus theory, and its characteristic equation is representedFor0 ＜
α
＜
1, corresponding transmission function can be expressed as U_{α}(s)=Z_{α}(s)I_{α}(s), in formula, α
is fractional orderThe fractional order order of inductance；
I (t) and u (t) are respectively the electric current that fractional order inductance passes through and the voltage at two ends；
U_{a}(s)、
I_{a}(s)The image function of fractional order inductive drop and electric current is represented respectively；
Z_{a}(s) it is the impedance of fractional order inductance.
 Described fractionRank inductance, the fractional order inductor models of actual inductance characteristic are described using fractional calculus theory, and its characteristic equation is representedFor0 ＜

6. a kind of permagnetic synchronous motor fractional order equivalentcircuit model as claimed in claim 1, it is characterized in that：
 Described fractionThe impedance Z of rank inductance_{a}(s) s=j ω
, are made, are expressed as：<
mrow>
<
msub>
<
mi>
Z<
/mi>
<
mi>
&
amp;
alpha;
<
/mi>
<
/msub>
<
mrow>
<
mo>
(<
/mo>
<
mi>
j<
/mi>
<
mi>
&
amp;
omega;
<
/mi>
<
mo>
)<
/mo>
<
/mrow>
<
mo>
=<
/mo>
<
mi>
L<
/mi>
<
msup>
<
mrow>
<
mo>
(<
/mo>
<
mi>
j<
/mi>
<
mi>
&
amp;
omega;
<
/mi>
<
mo>
)<
/mo>
<
/mrow>
<
mi>
&
amp;
alpha;
<
/mi>
<
/msup>
<
mo>
=<
/mo>
<
msup>
<
mi>
L&
amp;
omega;
<
/mi>
<
mi>
&
amp;
alpha;
<
/mi>
<
/msup>
<
msup>
<
mi>
e<
/mi>
<
mrow>
<
mi>
j<
/mi>
<
mrow>
<
mo>
(<
/mo>
<
mfrac>
<
mi>
&
amp;
pi;
<
/mi>
<
mn>
2<
/mn>
<
/mfrac>
<
mi>
&
amp;
alpha;
<
/mi>
<
mo>
)<
/mo>
<
/mrow>
<
/mrow>
<
/msup>
<
mo>
=<
/mo>
<
msup>
<
mi>
L&
amp;
omega;
<
/mi>
<
mi>
&
amp;
alpha;
<
/mi>
<
/msup>
<
mrow>
<
mo>
(<
/mo>
<
mi>
c<
/mi>
<
mi>
o<
/mi>
<
mi>
s<
/mi>
<
mo>
(<
/mo>
<
mrow>
<
mfrac>
<
mi>
&
amp;
pi;
<
/mi>
<
mn>
2<
/mn>
<
/mfrac>
<
mi>
&
amp;
alpha;
<
/mi>
<
/mrow>
<
mo>
)<
/mo>
<
mo>
+<
/mo>
<
mi>
j<
/mi>
<
mi>
<
/mi>
<
mi>
s<
/mi>
<
mi>
i<
/mi>
<
mi>
n<
/mi>
<
mo>
(<
/mo>
<
mrow>
<
mfrac>
<
mi>
&
amp;
pi;
<
/mi>
<
mn>
2<
/mn>
<
/mfrac>
<
mi>
&
amp;
alpha;
<
/mi>
<
/mrow>
<
mo>
)<
/mo>
<
mo>
)<
/mo>
<
/mrow>
<
mo>
.<
/mo>
<
/mrow>
 Described fractionThe impedance Z of rank inductance_{a}(s) s=j ω

7. based on the discrimination method of the permagnetic synchronous motor fractional order equivalentcircuit model any one of claim 16,It is characterized in that：
 Comprise the following steps：
(1) theoretical according to fractional calculus, actual electric capacity, inductor models are all fractional order elements, represent fractional order inductanceCharacteristic equation and transmission function； (2) permagnetic synchronous motor fractional order equivalentcircuit model is built； (3) motor stator winding resistance is determined by using bridge measurement threephase resistance； (4) motor steady state voltage equation is based on, by the collection of voltage, electric current and rotary speed data, is calculated by stable state and realizes electricityThe offline identification of machine d axles and q axle fractional order inductance parameters； (5) the equivalent circuit fractional order inductance obtained by measuring voltage, electric current and calculating obtains the fractional order of fractional order inductanceOrder.
 Comprise the following steps：
Specification(s)