Lecture 7 8 Synchronous Motor
Lecture 7 8 Synchronous Motor
Lecture 7 8 Synchronous Motor
Ghislain REMY
18-21 May 2009
Jean DEPREZ
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Workshop Programe
8 lectures will be presented based on Matlab/Simulink :
1 Introduction to Matlab 2 Introduction to Simulink 3 DC-Motor Control design 4 DC-Motor Chopper design SimPowerSystems 5 Introduction to Stateflow/Statechart 6 Induction Motor Inverter Control 7 Synchronous Motor Modeling 8 Synchronous Motor Control
Two system applications (four quadrants electric drives of mechanical systems) will be used as guidelines" during the workshop.
18-21 May 2009 Workshop Matlab/Simulink in Drives and Power electronics Lecture 7-8 2 / 19
Summary
Presentation of Synchronous Motors Surface Mounted PM SM model in abc frame (+vector design) In dq frame Using SimPowerSystems Comparison of the three models results
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Pulse Field
Pulse Field
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Ferraris Principle: The sum of 3 Pulse Fields, 120o Shifted, of 3-phases currents
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Rotating Field
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Pole Pairs: p
At 50Hz p 1 2 3 4 5 t/min 3000 1500 1000 750 600 At 60Hz p 1 2 3 4 5 t/min 3600 1800 1200 900 720
= p
With a fixed ,
If p is increasing
will decrease
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P=
PMSM in dq frame
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Example of PMSM
The power_simplealt shows a Simplified Synchronous Machine block with a 1000 MVA, 315 kV, 60 Hz equivalent source connected to an infinite bus (Three-Phase Programmable Voltage Source block).
The Simplified Synchronous Machine (SI Units) block is used as a synchronous generator. The internal resistance and reactance are set respectively to 0.02 pu (1.9845 ) and 0.2 pu (X = 19.845 ; L = 0.0526 H). The inertia of the machine is J = 168,870 kg.m2, corresponding to an inertia constant H = 3 s. The electrical frequency is s = 2**60/2 = 377 rad/s. The machine has two pairs of poles such that its synchronous speed is 2**60/2 = 188.5 rad/s or 1800 rpm.
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PI Gain Calculator
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