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Introduction peak limiting current mode control . . . subharmonic instability for D > 0 . 5 Experimental Verification of a Peak what happens for D > 0 . 5 ? Limiting Current Mode Controlled unstable period-1 limit cycle, but

  1. Introduction ◮ peak limiting current mode control . . . ◮ subharmonic instability for D > 0 . 5 Experimental Verification of a Peak ◮ what happens for D > 0 . 5 ? Limiting Current Mode Controlled ◮ unstable period-1 limit cycle, but after that? Switching Cell Model ◮ recent results, primarily theoretical . . . 1. infinite number of DCMs 2. zone where DCMs occur Marija Glišić and Predrag Pejović 3. zones of period- k DCMs 4. dependence of I OUT on I m ◮ does this really happen? ◮ experimental verification in this paper . . . ◮ using a boost converter . . . ◮ switching cell approach, 1-st order dynamics . . . Predictions, J OUT Predictions, J OUT Predictions, Period Number Predictions, Stability Hypotheses to be Verified Experimental Setup: Power Part i L L D i OUT i load 1. verify dependence of the switching cell output current on the peak value of the inductor current + + V IN M C R load V OUT 2. verify existence of higher period number discontinuous − − v G conduction modes

  2. Experimental Setup: Power Part Experimental Setup: Control Part ◮ V IN = 5 V v clock ◮ V OUT either 12 V, 17 V, 24 V, or 29 V. 10 kΩ +12 V +12 V ◮ 0 < I m ≤ 2 . 5 A in 5000 data points 10 kΩ +12 V 1 kΩ ◮ Keysight 34461A to measure I OUT BC337 1 kΩ + 1 kΩ ◮ Tektronix TBS 1052B-EDU to record waveforms V m v G − v CP + − ◮ Keysight 33500B to provide the clock LM311 BC327 + LM311 − ◮ Agilent 33220A to assign I m LF351 ◮ Python to automate the measurements . . . 20 kΩ 1 kΩ ◮ IRF1010N MOSFET ◮ 1N5819 diode ◮ L ≈ 1 mH Output Current, V OUT = 12 V Output Current, V OUT = 17 V V OUT = 12 V V OUT = 17 V 0 . 7 0 . 5 analytical analytical experimental experimental 0 . 6 0 . 4 0 . 5 0 . 3 0 . 4 I OUT [A] I OUT [A] 0 . 3 0 . 2 0 . 2 0 . 1 0 . 1 0 . 0 0 . 0 0 . 00 0 . 25 0 . 50 0 . 75 1 . 00 1 . 25 1 . 50 1 . 75 2 . 00 2 . 25 2 . 50 0 . 00 0 . 25 0 . 50 0 . 75 1 . 00 1 . 25 1 . 50 1 . 75 2 . 00 2 . 25 2 . 50 I m [A] I m [A] Output Current, V OUT = 24 V Output Current, V OUT = 29 V V OUT = 24 V V OUT = 29 V 0 . 40 0 . 40 analytical analytical experimental experimental 0 . 35 0 . 35 0 . 30 0 . 30 0 . 25 0 . 25 I OUT [A] I OUT [A] 0 . 20 0 . 20 0 . 15 0 . 15 0 . 10 0 . 10 0 . 05 0 . 05 0 . 00 0 . 00 0 . 00 0 . 25 0 . 50 0 . 75 1 . 00 1 . 25 1 . 50 1 . 75 2 . 00 2 . 25 2 . 50 0 . 00 0 . 25 0 . 50 0 . 75 1 . 00 1 . 25 1 . 50 1 . 75 2 . 00 2 . 25 2 . 50 I m [A] I m [A] Period-1 Operation Period-2 Operation V IN = 5 V, V OUT = 17 V, I m = 237 . 82 mA V IN = 5 V, V OUT = 17 V, I m = 488 . 60 mA

  3. Period-2 Operation Period-3 Operation V IN = 5 V, V OUT = 17 V, I m = 732 . 67 mA V IN = 5 V, V OUT = 17 V, I m = 1115 . 09 mA Period-4 Operation Period-4 Operation V IN = 5 V, V OUT = 17 V, I m = 888 . 81 mA V IN = 5 V, V OUT = 17 V, I m = 998 . 35 mA Period-5 Operation Period-6 Operation V IN = 5 V, V OUT = 17 V, I m = 975 . 29 mA V IN = 5 V, V OUT = 17 V, I m = 1010 . 36 mA Period-7 Operation Period-8 Operation V IN = 5 V, V OUT = 17 V, I m = 1026 . 21 mA V IN = 5 V, V OUT = 17 V, I m = 1358 . 67 mA

  4. Period-9 Operation Period-13 Operation V IN = 5 V, V OUT = 17 V, I m = 1065 . 13 mA V IN = 5 V, V OUT = 17 V, I m = 1009 . 40 mA Conclusions ◮ switching cell model of peak limiting current mode control verified ◮ boost converter switching cell built ◮ an automated measurement system arranged ◮ I OUT ( I m ) measured for four output voltage values ◮ good agreement with theoretical predictions! ◮ higher order discontinuous conduction modes recorded . . . ◮ . . . up to 13-th order! ◮ significantly improved experimental verification ◮ the theory corresponds to actual processes . . . ◮ experimental verification successful!

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