AND8125/D Evaluating the Power Capability of NCP101X Members Prepared by: Christophe Basso ON Semiconductor http://onsemi.com APPLICATION NOTE • Maximum Peak Current: In the NCP101X series, the The NCP101X series is available in various combinations of peak current and switching frequencies. To help the designer quickly picking up the right part, it is important to present guidelines aimed to simplify the selection process. This application note details how to evaluate the power handled by each device and offers an overview of each part capability. Each reference is affected by a key parameter that needs to be accounted for at the very beginning like the switching frequency, the maximum peak current and the Rds(ON). Among these parameters, we also find another set of constraints but linked to the adopted topology, i.e. current mode in our case: • DCM Operation: As the device operates in current-mode, it is mandatory to keep operating in discontinuous mode with a duty-cycle bounded below 50% to avoid sub-harmonic oscillations when accidentally entering Continuous Conduction Mode (CCM). We will use 0.45 as the maximum value in our examples. • Nonnegative Reflection: The built-in lateral MOSFET does not accept to see its body diode forward biased by an excessive Flyback voltage greater than the bulk voltage during the OFF time. Hence, for universal mains operation, the turn ratio Ns:Np will be selected to keep Vreflect = (Ns/Np) x (Vout + Vf) below the very minimum operating DC input voltage of your converter (including the input 120/100 Hz ripple in offline applications). For instance, if we have a 100 VAC input, it becomes 141 V once rectified minus the selected ripple. If choose a 20% ripple, then the very minimum DC voltage is 141–20% = 112 V. We can select a 100 V maximum reflection voltage (noted Vr) for a safe operation on wide mains, whereas this number will grow-up above 200 V for European mains operation (230 VAC 15%). Semiconductor Components Industries, LLC, 2003 July, 2003 - Rev. 0 peak current is internally fixed. This parameter plays an obvious role in the maximum transmitted power since it obeys the DCM Flyback formula, Pout = 0.5 x x Lp x Ip2 x Fsw. One input of our process selection will thus be the reference peak current, 100 mA, 250 mA, 350 mA or 450 mA. Once the theoretical power capability has been evaluated, it will finally be necessary to check the power dissipation of the switcher itself (given conduction losses, switching losses, etc.) and see what remains available for a reliable operation. Operating in DCM When the switch closes, Vin is applied across the primary inductance Lp until the current reaches the level imposed by the feedback loop. The duration of this event is called the ON time and can be defined by: Ton Lp · Ip Vin (eq. 1) Lp, primary inductance, Vin the input voltage, Ip the operating peak current. At the switch opening, the primary energy is transferred to the secondary and the flyback voltage appears across Lp, resetting the transformer core with a slope of N · (Vout Vf) . Toff, the OFF time is thus: Lp Toff Lp · Ip N · (Vout Vf) (eq. 2) Lp, primary inductance, Vout the output voltage, Ip the operating peak current, Vf the secondary rectifier voltage drop, N the transformer turn ratio, Ns:Np. 1 Publication Order Number: AND8125/D AND8125/D If one wants to keep DCM only, but still need to pass the maximum power, we will not allow a dead-time after the core is reset, but rather immediately restart (fixed frequency boundary mode operation). The switching period can be expressed by: Extracting Lp from equation 5 gives: Lpcritical (eq. 6) , with Vr = N. (Vout + Vf) our reflected voltage… Selecting a primary inductance value lower than the one given by equation 6 ensures discontinuous operation at the lowest line for a given reflected voltage. (eq. 3) Tsw Toff Ton Lp · Ip · Vin1 N · (Vout1 Vf) Nonnegative Reflection If we operate on universal mains from 100 VAC to 250 VAC, then the maximum reflected voltage is: VinAC x 1.414 – ripple = 112 V with a selected 20% ripple (eq. 7) . We can take 100 V to include a safety margin. Running the part from a single Europeans mains offers greater flexibility. The voltage is 230 VAC 15%, which leads to a minimum AC operating voltage of: 230-15% = 195 VAC. The maximum reflected voltage is thus: VinAC x 1.414 – ripple = 220 V with a selected 10% ripple (eq. 8) . We can take 210 V to include a safety margin. with Vin the input voltage The Flyback transfer formula dictates that: Pout 1 · Lp · Ip2 · Fsw (eq. 4) which, by extracting Ip 2 (with the converter efficiency) and plugging into equation 3, leads to: Tsw Lp · Pout · 1 1 ·2Fsw Vin N · (Vout Vf) · Lp (Vin · Vr)2 · 2 · Fsw · [Pout · (Vr2 2 · Vr · Vin Vin2)] (eq. 5) Maximum Peak Current ÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁ ÁÁÁÁÁÁ ÁÁÁÁÁÁÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁÁÁÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁ ÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁ ÁÁÁÁÁÁÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁÁÁÁÁÁÁÁÁÁ ÁÁÁÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁÁÁÁ ÁÁÁÁ ÁÁÁÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁÁ ÁÁ The maximum peak current is given by the particular part reference. If we follow the data sheet, these values are: NCP1010 NCP1011 Rdson () NCP1013 23 Ipeak (mA) Freq (kHz) NCP1012 11 100 65 100 250 130 NCP1014 65 100 250 130 Combining all these parameters together, we can finally calculate what theoretical maximum power we can pass satisfying the three bullets expressed at the beginning of this document. From the maximum peak current, duty-cycle constraint and minimum input voltage (universal or narrow mains), we deduce the maximum inductor Lpmax we can use: 65 350 100 Lpmax 130 65 100 450 130 65 100 DC max · Vinput min · Tsw (eq. 9) . If we Ip max apply the following parameters (45% max DC, 120 VDC minimum voltage, 65 kHz switching frequency and 100 mA peak current), it gives an upper inductance boundary of: 0.45 x 120 x 15.4 /0.1 = 8.3 mH. If we now equate equation 9 with equation 6, we can obtain the maximum power constrained by a 45% duty-cycle, a maximum peak current and a given minimum input voltage: Pmax : Tsw2 · Vinmin2 · Vr2 · · Fsw (2 · Lpmax · Vr2 4 · Lpmax · Vr · Vinmin 2 · Lpmax · Vinmin2) Keep the same parameters as above, we obtain, Pmax = 2.2 W. Please note that increasing the switching frequency will not expand the power capability of the given converter but will reduce the inductance and allow a smaller magnetic element (the L x I2 goes down). Running the same chart with all the listed references, gives the first following correspondence between a given peak current and a theoretical maximum power obtained from a converter operated at high line and low line: (eq. 10) Table 1. Theoretical Transmitted Power Depending on Peak Current Only Peak Current Wide Mains Operation 230 15% Operation 450 mA 8.9 W 18.6 W 350 mA 6.9 W 14.5 W 250 mA 5.0 W 10.3 W 100 mA 2.0 W 4.1 W http://onsemi.com 2 AND8125/D Accounting for the Part Parameters Power Dissipation of the PDIP7 Package We now need to refine these calculations knowing our thermal constraints and internal power dissipation (conduction and switching losses, Dynamic Self-Supply, etc.) in order to offer a final selection table. The following chart will be used to assess all possible power combinations given the NCP101X family: The power dissipated by the PDIP7 package is dependent upon its internal consumption and the total thermal resistance junction-to-ambient RJA. If we start from a 70°C ambient temperature and a RJA of 75°C/W (which was measured on the demoboard with 35 added copper – please see data sheet for suggested layout), then the maximum dissipation from the PDIP7 is: (Max Tj–Ta)/ RJA = (125–70)/75 = 730 mW which grows up to 1.0 W for a lower maximum ambient temperature of Ta = 50°C. Calculating the total power consumption of a monolithic circuit implies splitting the budget with the various contributors: Select frequency Fsw Capacitive losses P1 = Fsw x Coss 1. Dynamic Self Supply (DSS): The average current flowing through the DSS is directly the current needed by the chip to operate (neglecting the switching losses on the DSS itself. Therefore, PDSS = ICC1 x VHV. Therefore, if we in average, the parts exhibit an average ICC1 consumption of 1.0 mA, then the maximum DSS dissipated power is: 1.0 m x 370 V = 0.37 W. (This number drops to 0 W with an auxiliary winding and thus offers better margin for the MOSFET.) 2. Switching Losses: Theoretically, the turn-on losses are null since we turn on the MOSFET at zero current (DCM). However, there still is a parasitic capacitance on the MOSFET (Coss and Crss) which play a role in the power dissipation budget. To assess the value of this capacitor, we can measure the time taken by the current to come back to zero: P2 = 0 DSS is used? P2 = Vbulk max x ICC1 Pdmax = (Tj - Ta)/RJA Package and PCB dependency Dissipation room for MOSFET Pcond = Pdmax - (P1 + P2) Conduction losses IdRMS = (Pcond, Rdson) Compute Ip available since DCM Ip available NCP101Xmin Ip final = Ip available Ip final = NCP101Xmin Compute Pmax using equations 9 & 10 Figure 1. Power Flowchart - Used methodology for assessing the maximum power capability from a particular part number. http://onsemi.com 3 AND8125/D Current in the MOSFET Capacitive Contribution Figure 2. Typical Turn - Off Behavior of an NCP101X Series Member 1.03 x 65000 = 67 mW 1.03 x 100000 = 103 mW 1.03 x 130000 = 134 mW The presence of the “square” corresponds to a capacitive current flowing inside the MOSFET…but also through the 10 pF scope probe. This current does not create turn-off losses (except losses due to ohmic paths) but it reveals the existence of a capacitor that will create additional losses during turn-on. Based on Figure 2, this capacitor roughly equals: 70 mA x 100 ns/300 V = 25 pF-10 pF = 15 pF. This is pretty low and is typical of lateral MOSFETs. In DCM, this capacitor can be charged to Vin in the worse case. Therefore, the energy stored in the capacitor is: 0.5 x 15 p x 3702 = 1.03 J. Depending on the switching frequency, we will have the following average losses: 3. Conduction Losses: These losses are dependent on the device Rds(ON) and the RMS current flowing into it. In lack of internal ramp compensation, the converter has to operate in Discontinuous Conduction Mode (DCM) to avoid sub-harmonic oscillations. If we add powers described at bullets 1 and 2, we have the remaining power for the MOSFET alone at different ambient temperatures (Ploss in the previous chart): Table 2. Available Losses Budget in Function of the Switching Frequency Selection Fswitching DSS 50C DSS 70C A.W. 50C A.W. 70C 65 kHz 490 mW 220 mW 930 mW 670 mW 100 kHz 450 mW 190 mW 900 mW 630 mW 130 kHz 420 mW 150 mW 860 mW 600 mW As we can see from Table 2, applications needing the maximum power at high ambient temperature will require the use of an auxiliary to improve the room for MOSFET power dissipation. By definition, we know that Pcond = Idrms2 x Rds(ON), hence the maximum allowable RMS current can be deducted from the previous table. For instance, 490 mW = Idrms2 x Rds(ON) → Idrms < 0.49 = 140 mA RMS RdsPcond 25 (ON) By definition, the RMS value of a triangular current waveform (SMPS operated in DCM) is: Irms = Ipeak x sqrt (d/3). Since d = 45% maximum, then Ipeak = Irms / 387 m. By computing all RMS and peak values for the different versions, we obtain the following arrays (RMS current/ Peak current): (eq. 11) . http://onsemi.com 4 AND8125/D Rdson of 25 @ Tj = 125C (NCP1012/13/14) Table 3. Available RMS/Peak Current for the 11 Version, Respecting Table 2 Figures Fswitching DSS 50C DSS 70C A.W. 50C A.W. 70C 65 kHz 140 mA/361 mA 94 mA/242 mA 193 mA/498 mA 163 mA/423 mA 100 kHz 134 mA/346 mA 87 mA/225 mA 190 mA/490 mA 158 mA/410 mA 130 kHz 129 mA/335 mA 77 mA/200 mA 185 mA/479 mA 155 mA/400 mA Rdson of 52 @ Tj = 125C (NCP1010/11) Table 4. Available RMS/Peak Current for the 23 Version, Respecting Table 2 Figures Fswitching DSS 50C DSS 70C A.W. 50C A.W. 70C 65 kHz 97 mA/250 mA 65 mA/168 mA 130 mA/345 mA 113 mA/293 mA 100 kHz 93 mA/240 mA 60 mA/156 mA 131 mA/340 mA 110 mA/284 mA 130 kHz 90 mA/232 mA 54 mA/139 mA 129 mA/332 mA 107 mA/277 mA Final Selection Table value entered in equation 9 is thus 225 mA which gives a maximum power of 3.41 W (eq. 10). Here, we cannot use the full dynamic of the 350 mA because of the dissipation constraint imposed by table 3. If we now wire an auxiliary winding, the peak current room given by table 3 rises up to 410 mA. But this time, the peak limit is bounded by the part setpoint of 350 mA – 10% = 315 mA min (350 m < 465 m). This value will therefore be entered into equation 9 and gives a maximum power of 6.8 W. These calculations were performed for a universal mains application (Vreflect = 100 V) and can also for a narrow mains input with a Vreflect of 210 V. All results are gathered in table 5 and 6, offering a power handling capability device by device. From the two above tables 3 and 4, we can now compute the maximum power handled by the component applying equations 9 and 10, where the duty-cycle is constrained to 45%, Vreflec = 100 V for universal mains but rises up to 210 V in single mains, offering more flexibility. If the device offers a peak current capability greater than the value recommended by table 3 or 4, then unfortunately table 3 and 4 set the priority as the flow chart indicated. To the opposite, if the available peak current room exceeds the maximum part peak setpoint, then the part peak current takes the lead. Two short examples can detail this methodology with a 100 kHz, 350 mA device featuring a 12 Rds(ON): Table 3 states that the maximum peak current at Ta = 70°C equals 225 mA when the DSS is used. The peak current Universal Mains Applications (100 - 260 VAC) Table 5. Power Capability Per Selected Device in Universal Mains Applications Part Reference Key Parameters DSS 50C DSS 70C A.W. 50C A.W. 70C NCP1012P06 65 kHz – 23 – 250 mA 4.9 4.9 4.9 4.9 NCP1013P06 65 kHz – 23 – 350 mA 6.8 5.3 6.8 6.8 NCP1014P06 65 kHz – 23 – 450 mA 7.8 5.3 8.8 8.8 NCP1012P10 100 kHz – 23 – 250 mA 4.9 4.8 4.9 4.9 NCP1013P10 100 kHz – 23 – 350 mA 6.8 4.8 6.8 6.8 NCP1014P10 100 kHz – 23 – 450 mA 7.6 4.8 8.8 8.8 NCP1012P13 130 kHz – 23 – 250 mA 4.9 4.4 4.9 4.9 NCP1013P13 130 kHz – 23 – 350 mA 6.8 4.4 6.8 6.8 NCP1010P06 65 kHz – 52 – 100 mA 2.0 2.0 2.0 2.0 NCP1011P06 65 kHz – 52 – 250 mA 4.9 3.7 4.9 4.9 NCP1010P10 100 kHz – 52 – 100 mA 2.0 2.0 2.0 2.0 NCP1011P10 100 kHz – 52 – 250 mA 4.9 3.3 4.9 4.9 NCP1010P13 130 kHz – 52 – 100 mA 1.9 1.9 1.9 1.9 NCP1011P13 130 kHz – 52 – 250 mA 4.9 3.0 4.9 4.9 http://onsemi.com 5 AND8125/D Narrow Mains Applications (230 VAC 15%) Table 6. Power Capability Per Selected Device in Narrow Mains Applications Part Reference Key Parameters DSS 50C DSS 70C A.W. 50C A.W. 70C NCP1012P06 65 kHz – 23 – 250 mA 10.6 10.6 10.6 10.6 NCP1013P06 65 kHz – 23 – 350 mA 14.8 11.7 14.8 14.8 NCP1014P06 65 kHz – 23 – 450 mA 17.3 11.7 19 19 NCP1012P10 100 kHz – 23 – 250 mA 10.6 10.6 10.6 10.6 NCP1013P10 100 kHz – 23 – 350 mA 14.8 10.6 14.8 14.8 NCP1014P10 100 kHz – 23 – 450 mA 16.6 10.7 19 19 NCP1012P13 130 kHz – 23 – 250 mA 10.6 9.6 10.6 10.6 NCP1013P13 130 kHz – 23 – 350 mA 14.8 9.6 14.8 14.8 NCP1010P06 65 kHz – 52 – 100 mA 4.2 4.2 4.2 4.2 NCP1011P06 65 kHz – 52 – 250 mA 10.6 8 10.6 10.6 NCP1010P10 100 kHz – 52 – 100 mA 4.2 4.2 4.2 4.2 NCP1011P10 100 kHz – 52 – 250 mA 10.6 7.4 10.6 10.6 NCP1010P13 130 kHz – 52 – 100 mA 4.2 4.2 4.2 4.2 NCP1011P13 130 kHz – 52 – 250 mA 10.6 6.7 10.6 10.6 Taking the Right Part 3. “I need to operate my converter at the highest ambient temp!”: In that case, go for the auxiliary winding. 4. “My application requires a protection against optocoupler failures”: By sensing the auxiliary current flowing into the Vcc pin, the part selfprotects against open-loop runaways. Go for the auxiliary winding option. 5. “I have a converter that already runs at 130 kHz with an auxiliary winding!”: In that case, no option, provided that power budget is compatible… 6. “I need the smallest possible size”: If the frequency increase does not help to pass more power, it certainly provides a size reduction in the magnetic element. Go for a 130 kHz version. As one can see, there is a lot of overlap between the part themselves. We can use this characteristic to fine tune the final design and reach the optimal price/performance ratio. For instance, there are a few questions which, once answered, will naturally push toward the exact reference. 1. “Do I need an accurate Over Current Protection point?”: If the answer is yes, then go to the DSS option only. If the answer is no, an auxiliary winding will help you passing more power with a cooler part. 2. “Is the EMI filtering a big constraint on my design?”: A yes means you need the DSS to provide the frequency jittering. If not, auxiliary winding is an option as in point 1. Also, filtering a 65 kHz pattern is easier than a 100 kHz or 130 kHz. http://onsemi.com 6 AND8125/D Notes http://onsemi.com 7 AND8125/D ON Semiconductor and are registered trademarks of Semiconductor Components Industries, LLC (SCILLC). SCILLC reserves the right to make changes without further notice to any products herein. SCILLC makes no warranty, representation or guarantee regarding the suitability of its products for any particular purpose, nor does SCILLC assume any liability arising out of the application or use of any product or circuit, and specifically disclaims any and all liability, including without limitation special, consequential or incidental damages. “Typical” parameters which may be provided in SCILLC data sheets and/or specifications can and do vary in different applications and actual performance may vary over time. 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