3-Phase BLDC Motor Sensorless Control Using MC56F8013

2.3 Mathematical Description of the BLDC Motor2.3.1 Power Stage — Motor System ModelMathematical Description of the BLDC MotorTo explain and simulate the idea of back-EMF sensing techniques, a simplified mathematical model,based on the basic circuit topology (see Figure 2-5), is provided.Figure 2-5. Power Stage and Motor TopologyThe goal of the model is to find how the motor characteristics depend on the switching angle. Theswitching angle is the angular difference between a real switching event and an ideal one (at the pointwhere the phase-to-phase back-EMF crosses zero).The motor drive model consists of a 3-phase power stage and a BLDC motor. The power for the systemis provided by a voltage source (U d ). Six semiconductor switches (S A/B/C t/b ), controlled elsewhere, allowthe rectangular voltage waveforms (see Figure 2-2) to be applied. The semiconductor switches anddiodes are simulated as ideal devices. The natural voltage level of the whole model is applied at one halfof the DC-bus voltage. This simplifies the mathematical expressions.3-Phase BLDC Motor Sensorless Control using MC56F8013, Rev. 0Freescale Semiconductor 17