2. DC/AC Converter ControlTorque and Flux Control • Converter circuit + Motor • Control design • Design sliding surface for torque and flux • Lyapunov function denote

4. Torque and Flux Control (cont.) • Calculate where does not depend on control and

5. Torque and Flux Control (cont.) • Select control logic such that Control Logic tends to zero

6. Torque & Flux Control (approach 2) • Cascade Control • From torque and flux equations: where • Desired can be calculated • Sliding mode to provide desired current

7. Cascade Sliding Mode Control • Idea: Utilize extra degree of freedom • Sliding surface design

8. Lyapunov Approach • Select control logic based on Lyapunov function such that sliding mode is enforced • Advantage: simple Control Logic

11. Decoupling Approach to Enforce Sliding Mode • Idea: to decouple motions in • Method: non-singular transformation: • Advantage: allows frequency analysis performed for each surface individually Control Logic

12. Vn Control • Objective: optimality by changing • Example: switching frequency reduction

13. SMPWM Simulation Results • Current tracking and vn tracking

14. Experimental Setup • Controller: TMS320F2812 DSP • Switching devices: 2MBI100NC-12 IGBT • 3 phase RL load • 50 V DC supply

15. Experimental Results The first waveforms show the current tracking (and ), the second ones show tracking as a sinusoidal function by the average value of (after filtering out a high frequency component of discontinuous function ).

16. Neutral Point Voltage Control