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NCP1631PFCGEVB

NCP1631PFCGEVB

  • 厂商:

    ONSEMI(安森美)

  • 封装:

    -

  • 描述:

    NCP1631 - Power Management, Power Factor Correction Evaluation Board

  • 数据手册
  • 价格&库存
NCP1631PFCGEVB 数据手册
NCP1631PFCGEVB Interleaved PFC Stage Driven by the NCP1631 Evaluation Board User's Manual http://onsemi.com Interleaved PFC is an emerging solution that becomes particularly popular in applications where a strict form factor has to be met like for instance, in slim notebook adapters or in LCD TVs. Interleaving consists in paralleling two “small” stages in lieu of a bigger one, which may be more difficult to design. Practically, two 150−W PFC stages are combined to form our 300−W PFC pre−regulator. This approach has several merits like the ease of implementation, the use of more but smaller components or a better heat distribution. Also, Interleaving extends the power range of Critical Conduction Mode (CrM) that is an efficient and cost−effective technique (no need for low trr diodes). Even, as reported by NCP1631EVB/D [3], when associated to the Frequency Clamped Critical conduction Mode (FCCrM), this technique yields particularly high efficiency levels (about 95% over a large load range at 90 Vrms in a 300−W application). Furthermore, if the two stages are operated out−of−phase, the current ripple is significantly reduced. In particular, the input current looks like that of a Continuous Conduction Mode (CCM) one and the rms current within the bulk capacitor is dramatically reduced. These characteristics are detailed in application note AND8355 [1]. This paper gives the main equations that are useful to design an interleaved PFC stage driven by the NCP1631. The process is illustrated by the following 300−W, universal mains application: − Maximum output power: 300 W EVAL BOARD USER’S MANUAL Figure 1. Evaluation Board Photo − Input voltage range: from 90 Vrms to 265 Vrms − Regulation output voltage: 390 V The computations relevant to the power components are based on the assumption that the current is perfectly shared between the two branches. This assumption is valid if the two coil inductances properly match [2]. Vin Vout The “pfcOK” signal enables the downstream converter when the PFC is ready Rbo1 Rovp1 Vaux2 Rzcd2 1 Rfb1 Rfb2 OVPin Ac line Rbo2 Rovp2 EMI F ilte r Cbo2 Cin Cosc Cp Rz 2 3 Rt 4 5 RFF 6 7 8 Cz OVPin Iin L2 Icoil1 16 15 14 13 12 11 10 9 Rzcd1 pfcOK Vcc Rocp Rsense L1 Vaux2 D1 Icoil2 Vout D2 M1 LOAD M2 Cbulk Figure 2. Generic Application Schematic © Semiconductor Components Industries, LLC, 2012 November, 2012 − Rev. 2 1 Publication Order Number: EVBUM2163/D NCP1631PFCGEVB Introduction The NCP1631 integrates a dual MOSFET driver for interleaved, 2−phase PFC applications. It drives the two branches in so−called Frequency Clamped Critical conduction Mode (FCCrM) where each phase operates in Critical conduction Mode (CrM) in the most stressful conditions and in Discontinuous Conduction Mode (DCM) otherwise, acting as a CrM controller with a frequency clamp (given by the oscillator). According to the conditions, the PFC stage actually jumps from DCM to CrM (and vice versa) with no discontinuity in operation and without degradation of the current shape. Furthermore, the circuit incorporates protection features for a rugged operation together with some special circuitry to lower the power consumed by the PFC stage in no−load conditions. More generally, the NCP1631 is ideal in systems where cost−effectiveness, reliability, low stand−by power and high power factor are the key parameters:  A “pfcOK” Signal. The circuit detects when the PFC stage is in steady state or if on the contrary, it is in a start−up or fault condition. In the first case, the “pfcOK” pin (pin15) is in high state and low otherwise. This signal is to disable the downstream converter unless the bulk capacitor is charged and no fault is detected. Finally, the downstream converter can be optimally designed for the narrow voltage provided by the PFC stage in normal operation.  Safety Protections. The NCP1631 permanently monitors the input and output voltages, the input current and the die temperature to protect the system from possible over−stresses and make the PFC stage extremely robust and reliable. In addition to the aforementioned OVP protection, one can list: Maximum Current Limit: the circuit permanently senses the total input current and prevents it from exceeding the preset current limit, still maintaining the out−of−phase operation. In−rush Detection: the NCP1631 prevents the power switches turn on for the large in−rush currents sequence that occurs during the start−up phase. Under−Voltage Protection: this feature is mainly to prevent operation in case of a failure in the OVP monitoring network (e.g., bad connection). Brown−Out Detection: the circuit stops operating if the line magnitude is too low to protect the PFC stage from the excessive stress that could damage it in such conditions. Thermal Shutdown: the circuit stops pulsing when its junction temperature exceeds 150°C typically and resumes operation once it drops below about 100°C (50°C hysteresis).  Fully Stable FCCrM and Out−Of−Phase Operation. Unlike master/slave controllers, the NCP1631 utilizes an interactive−phase approach where the two branches operate independently. Hence, the two phases necessarily operate in FCCrM, preventing risks of undesired dead−times or continuous conduction mode sequences. In addition, the circuit makes them interact so that they run out−of−phase. The NCP1631 unique interleaving technique substantially maintains the wished 180° phase shift between the 2 branches, in all conditions including start−up, fault or transient sequences.  Optimized Efficiency Over the Full Power Range. The NCP1631 optimizes the efficiency of your PFC stage in the whole line/load range. Its clamp frequency is a major contributor at nominal load. For medium and light load, the clamp frequency linearly decays as a function of the power to maintain high efficiency levels even in very light load. The power threshold under which frequency reduces is programmed by the resistor placed between pin 6 and ground. To prevent any risk of regulation loss at no load, the circuit further skips cycles when the error amplifier reaches its low clamp level. Power Components Defining the oscillator frequency of the NCP1631 is a prerequisite step before dimensioning the PFC stage. In the presented application, we choose to clamp the switching frequency at around 120 kHz in each phase, because this frequency is generally a good trade−off when considering the following aspects: • A high switching frequency reduces the size of the storage elements. In particular, it is well known that the higher the switching frequency, the lower the inductor core. That is why, one should set the switching frequency as high as possible, • On the other hand, increasing the switching frequency has two major drawbacks: 1. The switching rate increasing, the associated losses grow up. In addition, all parasitic capacitors charge at a higher frequency and generate more heat... 2. EMI filtering is tougher: the switching generates high EMI rays at the switching frequency and  Fast Line / Load Transient Compensation. Characterized by the low bandwidth of their regulation loop, PFC stages exhibit large over and under−shoots when abrupt load or line transients occur (e.g. at start−up). The NCP1631 dramatically narrows the output voltage range. First, the controller dedicates one pin to set an accurate Over−Voltage Protection level and interrupts the power delivery as long as the output voltage exceeds this threshold. Also, the NCP1631 dynamic response enhancer drastically speeds−up the regulation loop when the output voltage is 4.5% below its desired level. As a matter of fact, a PFC stage provides the downstream converter with a very narrow voltage range. http://onsemi.com 2 NCP1631PFCGEVB close harmonic levels. Most power supplies have to meet the CISPR22 standard that applies to frequencies above 150 kHz. That is why SMPS designers often select FSW = 130 kHz so that the fundamental keeps below 150 kHz and then out of the regulation scope. Often, 65 kHz is also chosen to not to have to damp harmonic 2 too. The oscillator frequency is the double of the clamp frequency in each phase. The oscillator frequency is then set to approximately 240 kHz . Basically, Two 150−W FCCrM PFC stages are to be designed. This chapter will not detail the dimensioning of the power components in very deep details since their computation is traditional. However, the main selection criteria and equations are reminded. 1. Inductor Selection In CrM and in FCCrM (assuming CrM operation at low line, full load), the (maximum) peak and rms inductor currents within one branch are: • Vout,nom is the nominal output voltage (regulation level) (Pin,avg) max Finally, a 150 mH / 6 Apk / 2.5 Arms coil was selected. 2. Power Semiconductors The bridge diode should be selected based on the peak current rating and the power dissipation given by: 2 Ǹ2 @ ǒIL(pk)Ǔ MAX + ǒ Ǔ 2 ǒVin(rms)Ǔ In our application, • (Vin,rms)LL = 90 V • Vout,nom = 390 V • (Pin,avg)max = 325 W (assuming a 92 % global efficiency that is a conservative value that offers some margin) As aforementioned, the frequency clamp for the two branches is set to about 120 kHz. The inductor must be large enough so that Critical conduction Mode is obtained at low line, full load where the conditions are the most severe. This constraint leads to the equation below (where fsw(max) is the 120−kHz clamp frequency): Lw Lw Ǹ2 @ 325 ^ 5.1 A 90 LL MAX + ǒIL(pk)Ǔ Ǹ6 MAX ^ 5.1 + 2.1 A Ǹ6 (eq. 2) Ǔ (Pin,avg) max I M(rms) + 2 @ Ǹ3 2 (V in(rms)) LL @ Ǹ 1* 8 @ Ǹ2 @ (V in(rms)) LL 3 @ p @ V out,nom Using a 600−V, 0.4−W FET (SPP11N60), will give conduction losses of (assuming that RDS(on) increases by 80% due to temperature effects): DRV 325 @ 390 @ 120 @ 10 3 + 325 @ Ǹ3 @ 90 ^ 139 mH R2 Ǹ1 * 38 @@ pǸ2@@39090 ^ 1.8 A D2 R1 1N4148 (eq. 7) 2 90 2 @ ǒ390 * (Ǹ2 @ 90)Ǔ (eq. 4) Assuming a 1−V forward voltage per diode (Vf = 1 V), the bridge approximately dissipates 6.5 W. For each branch, the MOSFET is selected based on the peak voltage stress (Vout(max)+margin) and on the rms current flowing through it (IM(rms)): Where: • (Vin,rms)LL is the lowest line rms voltage • (Pin,avg)max is the maximum level of the input average power ǒ (eq. 3) (eq. 5) (P in,avg) max 4 Ǹ2 325 P bridge + p @ V f @ ^ 1.8 @ V f @ ^ 6.5 @ V f 90 (V in(rms)) LL And: ǒIL(rms)Ǔ (P in,avg) max @ V out,nom @ f sw(max) In our application, this leads to: (eq. 1) + (V in,rms) LL 2 @ (V out * Ǹ2 @ (V in,rms) LL) 2 P cond + I M(rms) @ R DS(on) + 1.8 @ 0.4 @ 1.8 ^ 2.3 W Q1 This computation is valid for one branch. As there are two phases to consider, the total MOSFETs conduction losses are actually twice (4.6 W). Switching losses are hard to predict. They are not computed here. As a rule of the thumb, we generally reserve a loss budget equal to that of the conduction ones. One can anyway note that the NCP1631 limits this source of dissipation by clamping the switching frequency (that can never exceed the oscillator one – 120 kHz in each branch in our case). To further improve the efficiency, the MOSFET opening can be accelerated using the schematic of Figure 3, where the Q1 small npn transistor (TO92) amplifies the MOSFET turn off gate current. (eq. 6) M1 R10 10k Figure 3. Q1 Speeds Up the MOSFET Turn Off The input bridge that rectifies the line voltage and the MOSFETs of the two branches share the same heat−sink. Based on above computations, the total power to be dissipated is in the range of: (6.5 + 4.6 + 4.6 ^ 16 W). A 2.9−°C/W heat−sink (ref. 437479 from AAVID THERMALLOY) is implemented. It limits the rise of the case temperature (of the input bridge and MOSFETs applied to it) to about 50° compared to the ambient temperature. http://onsemi.com 3 NCP1631PFCGEVB Interleaved PFC requires two boost diodes (one per branch). No reverse recovery issues to worry about. Simply, they must meet the correct voltage rating (Vout(max) + margin) and exhibit a low forward voltage drop. Supposing a perfect current sharing, the average diode current is the half of the load one: ǒ ǒ Ǔ Finally the following equation expresses the hold−up time: t hold−up + Ǔ So, the losses are about Ǔ I LOAD @ V f 2 f sw(max)1 + f sw(max)2 + f sw(max) + (f sw(max)) nom + I C(rms) + Ǔ f OSC(nom) 2 ^ 26 @ 10 C pin4 −6 −6 (f sw(max)) nom ^ 26 @ 10 −9 ^ 118 kHz 220 @ 10 (eq. 12) (eq. 13) Frequency Fold−back: The NCP1631 features the frequency fold−back function to improve the light load efficiency. Practically, the oscillator charge and discharge currents are not constant but proportional to power when the load drops below a programmable level, as shown by Figure 4. (eq. 9) ǒ (eq. 11) For instance, a 220−pF capacitor leads to the following clamp frequency: (eq. 8) 16 @ Ǹ2 @ P out 2 P out * V out,nom 9 @ p @ (V in(rms)) LL @ V out @ h 2 f OSC 2 Where: • fsw(max)1 is the frequency clamp for the first branch of the interleaved PFC and fsw(max)2, that of the second one • fsw(max)1 and fsw(max)2 being equal, fsw(max) stands for the clamp frequency for any of the two phases • fOSC is the oscillator frequency In the absence of frequency foldback (heavy load in general), the oscillator swings at its nominal frequency fOSC(nom) and each branch operates with a nominal clamp frequency (fsw(max))nom given by: The capacitor rms current is given by (assuming a resistive load): Ǹ (eq. 10) Oscillator Frequency Setting The NCP1631 clamps the maximum frequency of the PFC stage without power factor degradation. This feature prevents the switching frequency from reaching excessive levels at light load. As detailed in the NCP1631 data sheet, the clamp frequency in each phase is actually half the oscillator one. Hence: per diode, i.e., less than 500 mW per diode using MUR550 rectifiers. For each phase, the peak current seen by the diode will be the same as the corresponding inductor peak current. Two axial MUR550 are selected. 3. Bulk Capacitor Design The output capacitor is generally designed considering three factors: 1. The maximum permissible low frequency ripple of the output voltage. The input current and voltage being both sinusoidal, PFC stages deliver a squared sinusoidal power that matches the load power demand in average only. As a consequence, the output voltage exhibits a low frequency ripple (e.g., 100 Hz ripple in Europe or 120 Hz in USA) that is inherent to the PFC function. 2. The rms magnitude of the current flowing through the bulk capacitor. Based on this computation, one must estimate the maximal permissible ESR not to cause an excessive heating. 3. The hold−up time. It can be specified that the power supply must provide the full power for a short mains interruption that is the so called hold−up time. The hold−up time is generally in the range of 10 or 20 ms. The output voltage ripple is given by: P out DV out(p−p) + 2p @ f line @ C bulk @ V out,nom 2 @ P out Where Vout(min) is the minimal bulk voltage necessary to the downstream converter to keep properly feeding the load. The hold−time being not considered here, a 100−mF capacitor was chosen to satisfy the other above conditions. The peak−peak ripple is 25 V (±3% of Vout ) and the rms current is 1.4 A. I D(tot) I I D(tot) I D(tot) (avg) I LOADI LOADP out P out P out (avg) (avg) I D1(avg) + + I D2(avg) ++LOAD ++ + + + + ^ 0.39 A 2 2 2 2 @2 V out2 2 2 @ V out 2 @ V out ǒ C bulk @ (V out 2 * V out(min) 2) 2 http://onsemi.com 4 fOSC (kHz) NCP1631PFCGEVB 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 0 fOSC(nom) = 118 kHz 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Vregul (V) Figure 4. Frequency Fold−back  Programming the Power Threshold for Frequency Foldback: adjustment” section) and is generally set 25% or 30% higher than the application maximum power to offer some margin. In our application, a 4.7−kW resistor is implemented on pin 6 (RFF = 4.7 kW). Hence, the frequency folds back when the input power drops below the following (Pin)FF threshold: Pin6 of the NCP1631 pins out the signal VREGUL that is proportional to the power that is delivered. The resistor (RFF ) placed between pin 6 and ground, adjusts the pin6 current (IFF ) as follows: I FF + V REGUL R FF If ǒ V REGUL v 105 mA R FF Ǔ (P in) FF + 4.7 @ 10 @ (P in) HL ^ 30% @ (P in) HL (eq. 15) 15810 3 In our application, the maximum input power is 325 W. It is recommended to design the PFC stage so that it can produce at least 25% more than the maximum power it targets. In practice, ((Pin)HL ^ 494 W) has been selected. As a matter of fact, the frequency folds back when the input power goes below (30% x (Pin)HL) that is about 147 W. I FF + 105 mA otherwise As a matter of fact, the clamp frequency is also an increasing function of VREGUL until it reaches a maximum value for (IOSC = 105 mA): If ǒV REGUL w R FF @ 105 mAǓ f OSC + f OSC(nom) f OSC + V REGUL R FF @ 105 m @ f OSC(nom)  Forcing a Minimum Frequency If ǒV REGUL v R FF @ 105 mAǓ The NCP1631 reduces the frequency down to virtually zero. As detailed in the data sheet and shown by the simplified oscillator representation of Figure 5, the circuit lowers the frequency by diminishing the IFF current. When this current is near zero, a 35−mA current source is still available for charging the oscillator capacitor but the discharge current is near zero leading to an extremely long discharge time and a very low frequency. It is wise to prevent the frequency from dropping below 16 kHz to avoid audible noise issues. A simple means consists of placing a resistor (RFmin ) between the “OSC” pin and ground to force a minimum oscillator discharge current (see Figure 5). VREGUL varies between 0 and 1.66 V. Since the power that can be delivered is proportional to VREGUL, the power threshold for frequency fold−back is: (P in) FF + R FF @ 105 mA R FF (eq. 14) @ (P in) HL ^ @ (P in) HL 15810 1.66 V Where: • (Pin)FF is the input power below which the frequency reduces • (Pin)HL is the power highest level that can virtually be delivered by the PFC stage. This value results from the timing resistor selection (see the “maximum power http://onsemi.com 5 NCP1631PFCGEVB 35 μA IFF CLK1 CLK2 OSC RFmin Oscillator Control Block (pin4) COSC IFF DRV1 DRV2 Figure 5. Adjustment of the Minimum Frequency Assuming that the internal IFF current is zero, the oscillator period can be computed considering the 35−mA charge current, the permanent leakage current generated by ǒfsw(max)Ǔ min + f OSC(min) 2 RFmin and the 1 V swing across COSC (swing when the oscillator is clamping the switching frequency). Doing this calculation, we can deduce the minimum clamp frequency (for each branch) forced by RFmin : + 2 @ R Fmin @ C OSC @ ǒ 1 ǓǓ ǒ Brown−out Circuitry The brown−out terminal (pin7) typically receives a portion of the PFC input voltage (VIN). As during the PFC operation, VIN is a rectified sinusoid, a capacitor must integrate the ac line ripple so that a portion of the (VIN) average value is applied to the brown−out pin. In our application, (RFmin = 270 kW) forces a minimum frequency of about 20 kHz. Remark: Ground pin6 to inhibit the frequency foldback. If pin6 is grounded (accidently or not), the circuit operates with the nominal clamp frequency over the whole load range. Fe e d−forward circuitry Rt Curre nt Mirror IBO Vbo (BO pin v oltage ) Rt Vbo Vin IBO IBO charges the timing capacitor for both phases Ac line EMI Filte r Rbo1 Cin BO Vbo 1V OPAM P BO_NOK LBO Cbo Rcs Rbo2 S R Vdd 7 mA (eq. 16) R Fmin*114000 0.22 ) In R Fmin*143000 Q Tdelay 100−ms de lay re se t re se t 100−ms de lay re se t Circuitry for brown−out de te ction Figure 6. Brown−out Block http://onsemi.com 6 NCP1631PFCGEVB As sketched by Figure 6, the brown−out block has two functions: 1. Feed−forward: The brown−out pin voltage is buffered to generate an internal current IBO proportional to the input voltage average value in conjunction with the pin3 resistor (Rt ). This current is squared to form the current that charges the internal timing capacitors that control the on−time in the two branches. As a matter of fact, the on−time is inversely proportional to the square of the line magnitude. This feed−forward feature makes the transfer function and the power delivery independent of the ac line level. 2. Detection of the line magnitude being too low. A 7−mA current source lowers the BO pin voltage when a brown−out condition is detected, for hysteresis purpose as required by this function. In traditional applications, the sensed voltage dramatically varies depending on the PFC stage state: − Before operation, the PFC stage is off and the input bridge acts as a peak detector (refer to Figure 7). As a consequence, the input voltage is approximately flat and nearly equates the ac line amplitude: V IN + Ǹ2 @ V in,rms where Vin,rms is the rms voltage of the line. Hence, the voltage applied to pin7 is: V pin7 + Ǹ2 @ V in,rms @ R bo2 R bo1 ) R bo2 − After the PFC stage has started operation, the input voltage becomes a rectified sinusoid and the voltage applied to pin7 is: V pin7 + 2 @ Ǹ2 @ V in,rms R bo2 p R bo1 ) R bo2 i.e., about 64% of the previous value. Therefore, in traditional applications, the same line magnitude leads to a BO pin voltage that is 36% lower when the PFC is working. That is why a large hysteresis is required. ǸVt 2 @@ sin @ sin(wt) V rm 2@ s in , in,rms V in(t) Vt in ( ) Ǹ22 @@VV in,rms , in rm s Figure 7. Typical Input Voltage of a PFC Stage Computing Cbo, Rbo1 and Rbo2 of Figure 6: 1. Define the line levels at which the circuit should detect a brown−out and recover operation: Our application being specified to operate from 90 Vrms, it can make sense to select the following thresholds: • The system starts operating when the line voltage is above (Vin,rms)boH = 81 V (90% of 90 V) • The system detects a fault when the line voltage goes below (Vin,rms)boL = 72 V (80% of 90 V) 1. Define the average input voltage when Vpin7 (BO pin voltage) crosses the BO thresholds (Vpin7 rising and falling): When the line voltage is below the BO threshold, the internal current source (IHYST = 7 mA, typically) is activated to offer some hysteresis and the circuit recovers operation when: R bo2 R bo1 ) R bo2 ǒ @ V in,avg Ǔ boH * ǒ R bo1 @ R bo2 R bo1 ) R bo2 Ǔ @ I HYST (eq. 17) + V bo(th) Where (Vin,avg)boH is the average input voltage above which the circuit turns on and Vbo(th) is the BO internal threshold (1 V typically). Hence: ǒVin,avgǓ boH + ǒ R bo1 ) R bo2 R bo2 Ǔ (eq. 18) @ V bo(th) ) ǒR bo1 @ I HYSTǓ http://onsemi.com 7 NCP1631PFCGEVB As long as the line is above the BO threshold, the internal current source (IHYST = 7 mA typically) is off and the BO pin voltage is: ǒ Ǔ f BO 3 @ f line V pin7 + k BO @ V in,avg @ 1 * (eq. 19) Where: • (Vin,avg) is the average input voltage • fline is the line frequency • fBO is the sensing network pole frequency ǒ Ǔ R bo1 ) R bo2 2p @ R bo1 @ R bo2 @ C bo f BO + • kBO is scale down factor of the BO sensing network ǒ The term k BO + ǒ 1* Ǔ R bo2 R bo1 ) R bo2 Ǔ f BO 3 @ f line of Equation 19 enables to take into account the BO pin voltage ripple (first harmonic approximation). A brown−out fault is detected when the BO pin voltage goes below Vbo(th) (BO internal threshold that is 1 V typically). Hence, the BO protection triggers when the average voltage goes below the (Vin,avg)boL level expressed by the following equation: ǒVin,avgǓ boL + V BO(th) ǒ Ǔ (eq. 20) f k BO @ 1 * BO 3@fline Where (Vin,avg)boL is the average input voltage below which the circuit turns off, fBO is the sensing network pole frequency ǒ f BO + Ǔ R bo1 ) R bo2 2p @ R bo1 @ R bo2 @ C bo and fline is the line frequency. 2. Calculation From Equation 20, we can deduce the following expression of the brown−out scale down factor: K BO + R bo2 + R bo1 ) R bo2 V BO(th) ǒ Substitution of Equation 21 into Equation 18 leads to: (V in,avg) boH + ǒ Ǔ f (V in,avg) boL @ 1 * BO 3@f line ǒ (V in,avg) boL @ 1 * f BO ǓǓ 3 @ f line (eq. 22) ) (R bo1 @ I HYST) We can then deduce the following expression of Rbo1: (V in,avg) boH * ǒ (V in,avg) boL @ R bo1 + ǒ 1* (eq. 21) ǓǓ f BO 3@fline (eq. 23) I HYST Re−using the above Rbo1 expression, one can deduce Rbo2 from Equation 21: R bo2 + ǒ R bo1 (Vin,avg)boL V BO(th) ǒ ǓǓ f @ 1 * BO 3@fline http://onsemi.com 8 (eq. 24) *1 NCP1631PFCGEVB If as a rule of the thumb, we will assume that ǒf BO + Ǔ f line 10 that is 6 Hz in the case of a 60−Hz line, we obtain: (V in,avg) boH R bo1 + R bo2 + ȡ *ȧ(V Ȣ ȡ f10 ȣȣ @ȧ1 * 3@f ȧȧ Ȣ ȤȤ line in,avg) boL line ^ I HYST ǒ R bo1 (V in,avg)boL VBO(th) ǓǓ ǒ f @ 1 * BO 3@f line ^ *1 (V in,avg) boH * ǒ0.967 @ (V in,avg) boLǓ I HYST R bo1 ǒ 0.967 @ Ǔ (Vin,avg) boL VBO(th) (eq. 25) (eq. 26) *1 As an example, we will consider the traditional PFC stage where the average value of the input voltage is 36% lower when the circuit operates (as illustrated by Figure 7). So if we select: • The system starts operating when the line voltage is above (V in,rms) boH + 81 V • The system detects a fault when the line voltage goes below (V in,rms) boL + 72 V The corresponding average input voltage thresholds are: (V in,avg) boH + Ǹ2 @ (V in,rms) boH + Ǹ2 @ 81 (eq. 27) And: 2 Ǹ2 2 Ǹ2 (V in,avg) boL + p @ (V in,rms) boL + p @ 72 (eq. 28) We have then to solve: ǒǸ2 @ 81Ǔ * R bo1 ^ R bo2 ^ Ǔ 2Ǹ2 0.967 @ p @ 72 7 @ 10 −6 (eq. 29) ^ 7410 kW 7410 @ 10 3 ^ 120 kW 2Ǹ2 0.967@ p @72 *1 1 ȡ ȧ Ȣ C bo + ǒ ȣ ȧ Ȥ R bo1 ) R bo2 f 2p @ R bo1 @ R bo2 @ line 10 ^ (eq. 30) 7410 k ) 120 k 2p @ 7410 k @ 120 k @ 60 10 ^ 225 nF (eq. 31) In practice, four 1.8−MW resistors are placed in series for Rbo1 (for a global 7.2−MW resistor) and we use a 120−kW resistor for Rbo2 and 220−nF capacitor for Cbo . One should note that the NCP1631 brown−out circuitry incorporates a 50−ms blanking delay to help meet hold−up times requirement (see data sheet). Maximum Power Adjustment The instantaneous line current is the averaged value (over the switching frequency) of the total current absorbed by the two branches of the PFC stage. It is given by the following formula: I in(t) + (R t) 2 @ V REGUL V in(t) @ L 26.9 @ 10 12 @ k BO 2 @ V in,rms 2 http://onsemi.com 9 (eq. 32) NCP1631PFCGEVB Where: • ǒ (R t) 2 @ V REGUL 26.9 @ 10 12 @ k BO 2 @ V in,rms 2 Ǔ is the expression of the on−time in each branch (VREGUL ) is an internal signal linearly dependent of the output of the regulation block (VCONTROL). (VREGUL ) varies between 0 and 1.66 V. Iin(t) and Vin(t) are the instantaneous line current and voltage respectively. • • Vin,rms is the line rms voltage • L is the coil inductance • kBO is scale down factor of the BO sensing network ǒ k BO + Ǔ R bo2 R bo1 ) R bo2 Multiplying Iin by Vin, one can deduce the instantaneous power: P in(t) + (R t) 2 @ V REGUL @ V in 2(t) 26.9 @ 10 12 @ L @ k BO 2 @ V in,rms 2 (eq. 33) And averaging the instantaneous power over the line period gives the following expression of the mean input power: P in,avg + (R t) 2 @ V REGUL 26.9 @ 10 12 @ L @ k BO 2 (eq. 34) As a result of the feed−forward, the delivered power does not depend on the line magnitude but is the only function of the coil inductance, of the input voltage sensing network (used and dimensioned for the brown−out detection) and of Rt capacitor, that is, the timing resistor that is applied to pin3. Since VREGUL is clamped to 1.66 V, the maximum power ((Pin)HL) that can be virtually delivered by the PFC stage is: (P in) HL + (R t) 2 @ 1.66 (R t) 2 ^ 12 2 26.9 @ 10 @ L @ k BO 16.2 @ 10 12 @ L @ k BO 2 (eq. 35) Hence: R t ^ 4025 @ 10 3 @ k BO @ ǸL @ (P in) HL (eq. 36) For the sake of a welcome margin, ((Pin)HL) should be selected about 25% higher than the expected maximal input power that is: (125% x 325 W ^ 400 W) in the application of interest. In our case, • L = 150 mH • Since Rbo1 = 7200 kW and Rbo2 = 120 kW, ǒ k BO + R bo2 + 1 61 R bo1 ) R bo2 Ǔ Hence: R t ^ 4025 @ 10 3 @ 1 @ Ǹ150 @ 10 −6 @ 400 ^ 16 @ 2 kW 61 (eq. 37) A 18−kW resistor is selected that leads to (P in) HL + (18 @ 10 3) 2 @ 61 2 ^ 496 W 16.2 @ 10 12 @ 150 @ 10 −6 Feed−back Network The NCP1631 embeds a trans−conductance error amplifier that typically features a 200−mS trans−conductance gain and a ±20−mA maximum capability (see Figure 8). The output voltage of the PFC stage is externally scaled down by a resistors divider and monitored by the feed−back input (pin2). The bias current is minimized (less than 500 nA) to allow the use of a high impedance feed−back network. The output of the error amplifier is pinned out for external loop compensation (pin5). http://onsemi.com 10 NCP1631PFCGEVB Computation of the Feed−back / Regulation External Components A resistor divider consisting of Rfb1 and Rfb2 of Figure 8 must provide pin2 with a voltage proportional to the PFC output voltage so that Vpin2 equates the internal reference voltage (VREF = 2.5 V) when the PFC output voltage is nominal. In other words: R fb2 @ V out,nom + V REF R fb1 ) R fb2 (eq. 38) V out,nom R fb1 + *1 R fb2 V REF (eq. 39) Or: Another constraint on the feed−back resistors is the power it dissipates. Rfb1 and Rfb2 being biased by the PFC output high voltage (in the range of 390 V typically), they can easily consume several hundreds of mW if their resistance is low. Targeting a bias current in the range of 100 mA generally gives a good trade−off between losses and noise immunity. This criterion leads to: R fb2 + V REF + 25 kW 100 mA In practice, (Rfb2 = 27 kW) was selected for our application. Following Equation 39, Rfb1 is given by: R fb1 + R fb2 @ ǒ (eq. 40) Ǔ V out,nom *1 V REF (eq. 41) We target a 390−V regulation level, hence: ǒ Ǔ R fb1 + 27 kW @ 390 * 1 + 4185 kW 2.5 (eq. 42) Like for the input voltage sensing network, several resistors should be placed in series instead of a single Rfb1 resistor. In our application, we choose a (1800 kW + 1800 kW + 560 kW) network. This selection together with (Rfb2 = 27 kW) leads to: V out,nom + R fb1 ) R fb2 1800 k ) 1800 k ) 560 k ) 27 k @ V REF + @ 2.5 V ^ 388 V R fb2 27 k (eq. 43) Compensation: The NCP1631 uses the brown−out input voltage to provide some feed−forward. This allows the small−signal transfer function of PFC stage to be independent of the ac line amplitude. More specifically, the bulk capacitor ESR being neglected: ^ V out ^ V REGUL + (R t) 2 @ R out @ 53.8 @ 10 12 @ L @ k BO 2 @ V out,nom 1 R out@Cbulk 1) s@ 2 ǒ Ǔ (eq. 44) Where: • Cbulk is the bulk capacitor. • • • • • Rout is the load equivalent resistance. Rt is the pin3 external capacitor. L is the PFC coil inductance. KBO is the brown−out scale−down factor. Vout,nom is the regulation level of the PFC output. However, PFC stages must exhibit a very low regulation bandwidth, in the range of or lower than 20 Hz to yield high power factor ratios. Hence, sharp variations of the load generally result in excessive over and under−shoots. The NCP1631 limits over−shoots by the Over−Voltage Protection (see OVP section). To contain under−shoots, an internal comparator monitors the feed−back (Vpin2) and when Vpin2 is lower than 95.5% of its nominal value, it connects a 220−mA current source to speed−up the charge of the compensation capacitors. Finally, it is like if the comparator multiplied the error amplifier gain by about 10 (Note 1). The implementation of this dynamic response enhancer together with the accurate and programmable over−voltage protection, guarantees a reduced spread of the output voltage in all conditions included sharp line / load transients. http://onsemi.com 11 NCP1631PFCGEVB Hence, in most applications, it can be sufficient to place a low frequency pole that drastically limits the bandwidth. However, it is recommended to implement a type2 compensation as represented by the following figure: Vout Rfb1 FB (Pin2) Rfb2 2R Vcontrol Cz Rz GEA = 200 mS + OTA + VREF 2.5 V R (Pin5) Cp VREGUL Figure 8. Regulation Trans−conductance Error Amplifier, Feed−back and Compensation Network 1. The circuit disables this capability (dynamic response enhancer) until the PFC stage output voltage has reached its target level (that is when the “pfcOK” signal of the block diagram, is high). This is because, at the beginning of operation, the pin5 compensation network must charge slowly and gradually for a soft start−up. The output to control transfer function brought by the type−2 compensator is: ^ V control ^ V out Where 1 ) sR zC z + ǒ sR o(C z ) C p) 1 ) sR z R0 + V out,nom V ref @ G EA Ǔ (eq. 45) C z@Cp C z)Cp , GEA being the gain of the trans−conductance error amplifier (OTA), Vout,nom , the output nominal voltage (Vout regulation level) and VREF, the OTA 2.5−V voltage reference. Actually, The NCP1631 PWM section does not directly use Vcontrol but VREGUL . Taking into the (5/9) resistors divider that links Vcontrol and VREGUL , it comes: ^ V REGUL ^ V out + 1 ) sR zC z ǒ Ǔ Cz@Cp 9@Ro s @ (C z ) C p) 1 ) sR z 5 Cz)Cp (eq. 46) Hence, we have: 1) ^ V REGUL ^ V out + ǒ s 2p@fz Where: • fz is the frequency of the compensator zero: fz + 1 2p @ R z @ C z • fp1 is the frequency of the compensator high frequency pole: 1 f p1 + 2p @ R z @ ǒ Cp@Cz Cp)Cz Ǔ • fp0 is the frequency of the origin pole: f p0 + Ǔ s 1) s 2p@fp0 2p@fp1 5 18p @ R 0 @ ǒC p ) C zǓ http://onsemi.com 12 (eq. 47) NCP1631PFCGEVB • R0 + V out,nom V ref @ G EA Place the zero and the high frequency pole We can obtain a 60° phase boost and hence, a 60° phase margin by placing the compensation zero at (fc/4) and the high frequency pole at (4 x fc), where fc is the selected crossover frequency. From this, it comes that: f p1 + 4 2 @ f z (eq. 48) Substitution of the fp1 and fz expressions into Equation 48 leads to: Cp @ Cz C + z 16 Cp ) Cz (eq. 49) C z + 15 @ C p (eq. 50) Hence: Place the pole at the origin to have the proper bandwidth: Equation 44 instructs that the static gain of the PFC boost is: Go + 53.8 @ (R t) 2 @ R out @ L @ k BO 2 @ V out,nom 10 12 (eq. 51) If fc is the desired crossover frequency, the pole at the origin must be placed at the load that would set the boost converter pole at the selected compensation zero. Hence: ǒ Ǔ −20 @ log fc f p0 ǒ |ǒ + −20 @ log G R out + 4 p @ C bulk @ f c ǓǓ (eq. 52) Or: f p0 + G0 |R fc out + 4 (eq. 53) p@Cbulk@f c This leads to: f p0 + fc 4@Rt 2 (eq. 54) p @ 53.8 @ 10 12 @ L @ C bulk @ k BO 2 @ f c @ V out,nom This expression simplifies as follows: f p0 + p @ 53.8 @ 10 12 @ L @ C bulk @ k BO 2 @ f c 2 @ V out,nom Where: kBO is scale down factor of the BO sensing network ǒ (eq. 55) 4 @ Rt 2 k BO + Ǔ R bo2 R bo1 ) R bo2 Replacing fp0 by its expression of Equation 55, it comes: 5 + 18p @ R 0 @ (C p ) C z) 18p @ ǒ 5 V out,nom Ǔ Vref@GEA + p @ 53.8 @ 10 12 @ L @ C bulk @ k BO 2 @ f c 2 @ V out,nom 4 @ Rt 2 @ (16 @ C p) (eq. 56) Replacing GEA and Vref by their typical value (200 mS and 2.5 V, respectively, we can write the following equation that gives Cp : Cp ^ V ref @ G EA @ R t 2 7646.2 @ 10 12 @ L @ C bulk @ k BO 2 @ f c 2 @ (V out,nom) 2 Replacing Rt by this expression of Equation 36, the precedent equation simplifies: Cp ^ 1.06 @ 10 −6 @ (P in) HL C bulk @ f c 2 @ (V out,nom) 2 http://onsemi.com 13 (eq. 58) (eq. 57) NCP1631PFCGEVB Computing Rz: The compensation zero being placed at (fc/4), it comes: fz + f 1 + c 4 2p @ R z @ C z (eq. 59) Finally, from the above computations, we can deduce the following equations to design the compensation network. Cp ^ 1.06 @ 10 −6 @ (P in) HL C bulk @ f c 2 @ (V out,nom) 2 (eq. 60) C z + 15 @ C p Rz + (eq. 61) 2 p @ Cz @ fc (eq. 62) In our application, Cp + 1.06 @ 10 −6 @ 497 ^ 86 nF 100 @ 10 −6 @ 20 2 @ 390 2 (eq. 63) Practically, we will use 68−nF capacitor that is a close standard value. C z + 15 @ C p + 1020 nF (eq. 64) In practice, a 1−mF standard capacitor is selected. Finally, Rz + 2 ^ 31.8 kW p @ 1 @ 10 −6 @ 20 (eq. 65) A 33−kW resistor is implemented. The compensation is computed to have a phase margin in the range of 60°. The high frequency pole can be set at a lower frequency. Practically, Cp can be increased up to 4 times the proposed value (without changing Rz and Cz ) to reduce the ripple on the Vcontrol pin and further improve the THD. The crossover frequency is unchanged. This is just at the cost of a diminution of the phase margin that can drop as low as 30°. More specifically: ǒff Ǔ * arctanǒff F m + arc tan c c z p1 Ǔ (eq. 66) Where: • fz is the frequency of the compensator zero: fz + 1 2p @ R z @ C z • fp1 is the frequency of the compensator high frequency pole: 1 f p1 + 2p @ R z @ ǒ Cp@Cz Cp)Cz Ǔ Finally, a 150−nF capacitor is selected for Cp , leading to: (f z ^ 5 Hz), (f p1 ^ 37 Hz), (F m ^ 76 o * 28 o + 48 o) http://onsemi.com 14 NCP1631PFCGEVB Current Sense Network Ac line VIN Vaux2 IIN Vaux1 EMI Filter Curre nt M irror CIN ICS OCP D1 9 ROCP RCS Negative Clamp M1 In − r u s h Qzcd1 Qzcd2 (from ZCD block) IZCD = 20 mA DRV2 DRV1 CBULK LOAD ICS ICS L2 M2 ICS (ICS is proportional to the coil current) CS VOUT L1 IOCP = 200 mA ICS D2 IIN The CS block performs the over−current protection and detects the in−rush currents Figure 9. Current Sense Block The NCP1631 is designed to monitor a negative voltage proportional to the coil current. Practically, a current sense resistor (RCS of Figure 9) is inserted in the return path to generate a negative voltage proportional to the total current absorbed by the two branches. The circuit incorporates an operational amplifier that sources the current necessary to maintain the CS pin voltage null (refer to Figure 9). By inserting a resistor ROCP between the CS pin and RCS , we adjust the pin9 current as follows: * (R CS @ I in) ) (R OCP @ I pin9) + V pin9 ^ 0 (eq. 67) Which leads to: I CS + I pin9 + R CS I R OCP in (eq. 68) Where Iin is the total current drawn by the two phases of the interleaved PFC stage. The circuit compares ICS to an internal 210−mA current reference for a cycle by cycle current limitation. Hence, the maximum coil current is: I in,max + R OCP @ 210 mA R CS (eq. 69) Finally, the ratio (ROCP / RCS ) sets the over−current limit in accordance with the following equation: I in,max R OCP + R CS 210 mA (eq. 70) As we have two external components to set the current limit (ROCP and RCS ), the current sense resistor can be optimized to have the best trade−off between losses and noise immunity. • Maximum current drawn by the two branches: As shown in [1], the following equations give the total current that is absorbed by the interleaved PFC. I in,max + 2 Ǹ2 @ (P in,avg) max (V in,rms) LL I in,max + 2 Ǹ2 @ ȡ ȧ Ȣ @ 1* (P in,avg) max (V in,rms) LL V out,nom ǒ 4 @ V out,nom * ǒǸ2 @ (V in,rms) LL @ ǒ 1* V out,nom Ǹ 4 @ 2 @ (V in,rms) LL Ǔ ȣ ȧif (V ǓǓȤ if (V in,rms) LL w Where: • (Vin,rms )LL is the lowest level of the line rms voltage. • (Pin,avg )max is the maximum level of the input power. • Vout,nom is the nominal level of the output voltage (or the output regulation voltage) In our case, ǒ (V in,rms) LL + 90 v Ǔ V out,nom + 390 ^ 138 2 Ǹ2 2 Ǹ2 http://onsemi.com 15 in,rms) LL v V out,nom 2 Ǹ2 V out,nom 2 Ǹ2 (eq. 71) (eq. 72) NCP1631PFCGEVB Hence: I in,max + 2 Ǹ2 @ (P in,avg) max (V in,rms) LL ȡ ȧ Ȣ @ 1* ȡ ȧ Ȣ I in,max + 2 Ǹ2 @ 325 @ 1 * 90 • Selecting ROCP and RCS : V out,nom ǒ 4 @ V out,nom * ǒǸ2 @ (V in,rms) LL 390 4 @ 390 * ǒǸ2 @ 90Ǔ ǒ ȣ ȧ ǓǓȤ ȣ ^ 6.4 A Ǔȧ Ȥ (eq. 73) (eq. 74) If we neglect the input current ripple, the RCS losses are given by the following simplified equation: P Rcs + R CS @ ǒ Ǔ P in,avg 2 (eq. 75) V in,rms One can choose RCS as a function of its relative impact on the PFC stage efficiency at low line and full power. If α is the relative percentage of the power that can be consumed by RCS , this criterion leads to: ǒ T @ (P in,avg) max + R CS @ (P in,avg) max (V in,rms) min Ǔ 2 (eq. 76) Finally: R CS +T @ (V in,rms) min 2 (P in,avg) max (eq. 77) And: R OCP + R CS @ I in,max 210 mA (eq. 78) Generally (α = 0.2%) gives a good trade−off between losses and noise immunity (0.2% of the power is lost in the RCS at low line). This criterion leads to the following RCS value: R cs + 0.2% @ 90 ^ 50 mW 325 2 (eq. 79) This selection results in the following ROCP resistor: R OCP + 50 m @ 6.4 A ^ 1.5 kW 210 mA (eq. 80) Zero Current Detection (ZCD) For each phase, a winding taken off of the boost inductor gives the zero current detection (ZCD) information. When the switch is on, the ZCD pin voltage is equal to: V zcd + * V in N (eq. 81) Where Vin is the instantaneous ac line voltage and N, the turns ratio (ratio number of turns of the primary winding over the number of turns of the ZCD auxiliary winding) When the switch is off, the ZCD pin voltage is equal to: V zcd + V out * V in N (eq. 82) The NCP1631 incorporates two ZCD comparators: 1. A first one senses pin1 that is to receive the ZCD voltage from branch 2 2. A second one monitors pin16 that receives the ZCD signal for branch1. The ZCD comparators have a 0.5−V threshold (rising, with a 250−mV hysteresis). Therefore, N must be sized such that at least 0.5 V is obtained on the ZCD pin during the demagnetization in all operating conditions. The voltage obtained on the ZCD pin is minimal in high line and at the top of the sinusoid, leading to: Nv V out * ǒǸ2 @ (V in,rms) HLǓ 0.5 http://onsemi.com 16 NCP1631PFCGEVB With ((Vin,rms)HL = 265 V) and (Vout = 390 V), N must be lower than 30. A turns ratio of 10 was selected for this design. A resistor, RZCD1 is to be added between the phase 1 ZCD winding and pin 16 for branch 1 and another one RZCD2 between the phase 2 ZCD winding and pin1 for branch 2. RZCD1 and RZCD2 limit the current into or out of pins 1 and 16. This current is preferably set in the range of 2 mA (sink and source). In general, the pins are the most stressed by the sink current obtained at high line. Hence, RZCD1 and RZCD2 must be selected high enough so that: R ZCD1 + R ZCD2 w Ǹ2 @ (V in,rms) HL I ZCD @ N + Ǹ2 @ 265 ^ 19 kW 2 m @ 10 (eq. 83) A 22−kW was selected. However, the value of this resistor and the small parasitic capacitance of the ZCD pin also determine when the ZCD winding information is detected and the next drive pulse begins. Ideally, the ZCD resistor will restart the drive at its valley. This will minimize switching losses by turning the MOSFET back on when its drain voltage is at a minimum. The value of RZCD1 and RZCD2 to accomplish this is best found experimentally. Too high of a value could create a significant delay in detecting the ZCD event. In this case, the controller would operate in discontinuous conduction mode (DCM) and the power factor would suffer. Conversely, if the ZCD resistor is too low, then the next driver pulse would start when the voltage is still high and switching efficiency would suffer. Over−Voltage Protection The NCP1631 dedicates one specific pin for the under−voltage and over−voltage protections. The NCP1631 configuration allows the implementation of two separate feed−back networks (see Figure 11): • One for regulation applied to pin 4 (feed−back input). • Another one for the OVP function. Vout (bulk voltage) Vout (bulk voltage) Rout1 Rout3 Rout2 FB 1 2 3 4 5 6 7 8 OVP 16 15 14 13 12 11 10 9 Figure 10. Configuration with One Feed−back Network for Both OVP and Regulation 1 FB 2 Rfb1 Rovp1 Rfb2 Rovp2 3 4 5 6 OVP 7 8 Vout (bulk voltage) 16 15 14 13 12 11 10 9 Figure 11. Configuration with Two Separate Feed−back Networks Rovp Rfb1 Rfb1 Rfb2 Rfb2 1 FB 2 3 4 3 4 OVP 7 8 16 15 14 13 12 11 10 9 Figure 12. Another Configuration with Two Separate Feed−back Networks The double feed−back configuration offers some redundancy and hence, an up−graded safety level as it protects the PFC stage even if there is a failure of one of the two feed−back arrangements. However, the regulation and the OVP function have the same reference voltage (VREF = 2.5 V) so that if wished, one single feed−back arrangement is possible as portrayed by Figure 9. The regulation and OVP blocks having the same reference voltage, the resistance ratio Rout2 over Rout3 adjusts the OVP threshold. More specifically, • The bulk regulation voltage is: V out,nom + R out1 ) R out2 ) R out3 @ V REF R out2 ) R out3 (eq. 84) V out,ovp + R out1 ) R out2 ) R out3 @ V REF R out2 (eq. 85) • The (bulk) OVP level is: • The ratio OVP level over regulation level is: V out,ovp V out,nom +1) R out3 R out2 (eq. 86) For instance, (Rout3 = 5% x Rout2) leads to (Vout,ovp = 105% x Vout,nom). As soon and as long as the circuit detects that the output voltage exceeds the OVP level, the power switch is turned off to stop the power delivery. http://onsemi.com 17 NCP1631PFCGEVB In our application, the option that consists of two separate Vout sensing networks is chosen (configuration of Figure 10). Like for the regulation network, the impedance of the monitoring resistors must be: 1. high enough to limit the losses that if excessive, may not allow to comply with the stand−by requirements to be met by most power supplies 2. low enough for a good noise immunity Again, a bias current in the range of 100 mA generally gives a good trade−off. R ovp2 + Hence: V ref + 25 kW 100 mA In practice, (Rovp2 = 27 kW) was selected and as a consequence: R ovp1 + R ovp2 @ ǒ V out,ovp V REF (eq. 87) Ǔ *1 (eq. 88) In our application, our 410−V target leads to: ǒ Ǔ R ovp1 + 27 kW @ 410 * 1 + 4401 kW 2.5 (eq. 89) For safety reason, several resistors should be placed in series instead of a single Rovp1 one. In our application, we choose a (1800 kW + 1800 kW + 820 kW) network. The exact OVP level is then: V out,ovp + R ovp1 ) R ovp2 R ovp2 @ V REF + 1800 k ) 1800 k ) 820 k ) 27 k @ 2.5 V ^ 412 V 27 k (eq. 90) Remark: As illustrated by Figure 11, another effective means to dimension the OVP sensing network is, to select: • Rovp2 = Rfb2 • Rovp1 = Rfb1 + Rovp, where Rovp is a part of the upper resistor of the OVP sensing network. Note that: V out,nom + V out,ovp + R fb1 ) R fb2 @ V REF R fb2 R ovp1 ) R ovp2 R ovp2 R fb1 ) R ovp ) R fb2 @ V REF + R fb2 @ V REF Combining two precedent equations, it comes: V out,ovp + V out,nom ) R ovp @ V REF R fb2 In other words, the OVP protection trips when the overshoot exceeds: ǒ Ǔ R ovp @ V REF R fb2 Conclusions This application note proposes a systematic approach for the eased design of an efficient 2−phase, interleaved PFC. More specifically, this paper provides the key equations and design criteria necessary to dimension the PFC stage. The practical implementation of a 300−W, wide mains application illustrates the process. For detailed information on the performance of a 300−W interleaved PFC designed according to the proposed method, you can refer to NCP1631EVB/D [3]. This application note shows that the efficiency can remain as high as almost 95% at 90 Vrms from 20% to 100% of the load, despite the relatively high switching frequency range that was selected (120−kHz nominal clamp frequency). The following table summarizes the key equations useful to design a NCP1631 driven interleaved PFC. Another table reports the results of these computations for our 300−W application of interest. http://onsemi.com 18 NCP1631PFCGEVB References [3] Stephanie Conseil, “Performance of a 300−W, wide mains interleaved PFC driven by the NCP1631”, NCP1631EVB/D, http://www.onsemi.com/pub/Collateral/NCP1631EVB−D. PDF [1] Joel Turchi, “Characteristics of Interleaved PFC Stages”, Application Note AND8355, http://www.onsemi.com/pub/Collateral/AND8355−D.PDF [2] Joel Turchi, “Designing a high−efficiency, 300−W, wide mains interleaved PFC”, Application Note AND8354, http://www.onsemi.com/pub/Collateral/AND8354−D.PDF Table 1. GENERAL EQUATIONS − SUMMARY Lw (V in,rms) LL 2 @ ǒV out,nom * Ǹ2 @ (V in,rms) LLǓ (P in,avg) max @ V out,nom @ f OSC(nom) Coil Selection (I L,pk) max + Ǹ2 @ (P in,avg) max (V in,rms) LL (P in,avg) max (I L,rms) max + 1 @ Ǹ3 (V in,rms) LL Power Components MOSFET Conduction Losses (P on) max + 1 @ R DS(on) @ 3 ǒ (P in,avg) max (V in,rms) LL (dV out) pk−pk + C bulk w Bulk Capacitor (I C,rms) max + Ǹǒ BO Filtering Capacitor Timing Resistor ƫ P out,max C bulk @ w @ V out,nom Ǔ ǒ ǒ ǒ (V in,avg) boL @ 1 * Ǔ 2 ǓǓ fBO 3@fline ǒ R bo1 (V in,avg)boL V BO(th) ǒ @ 1* ǓǓ fBO 3@fline *1 R bo1 ) R bo2 2p @ R bo1 @ R bo2 @ f BO R t + 4026 @ 10 3 @ k BO @ ǸL @ (P in) HL Pin3 Resistor f OSC(nom) ^ 52 @ 10 C OSC Clamp Frequency per Branch ǒfsw(max)Ǔ Fold−Forward Power Threshold Minimum Frequency (per Branch) 3p @ V out,nom (P in,avg) max 2 (P out) max 16 Ǹ2 @ * 9p (V in,rms) LL @ V out,nom V out,nom C bo + Oscillator Frequency (No Frequency Foldback) Oscillator 8 Ǹ2 @ (V in,rms) LL I HYST R bo2 + BO Bottom Resistor 1* V out,nom 2 * V out,min 2 R bo1 + Brown−out Block @ 2 @ P out,max @ t HOLD−UP (V in,avg) boH * BO Upper Resistor Ǔ ƪ 2 nom + (P in) FF + ǒfsw(max)Ǔ min f OSC(nom) 2 @ R Fmin @ C OSC @ 19 ^ 26 @ 10 C OSC −6 R FF @ (P in) HL 15810 W + http://onsemi.com 2 −6 ǒ 1 ǒ 0.22 ) In ǓǓ RFmin*114000 RFmin*143000 NCP1631PFCGEVB Table 1. GENERAL EQUATIONS − SUMMARY Feedback Bottom Resistor R fb2 + Feedback Resistors Feedback Upper Resistor R fb1 + R fb2 @ OVP Bottom Resistor ǒ OVP Upper Resistor R ovp1 + R ovp2 @ Cp Capacitor of the Type2 Compensation Cp ^ V REF I FB ǒ V out,ovp V REF Ǔ *1 1.06 @ 10 −6 @ (P in) HL C bulk @ f c 2 @ (V out,nom) 2 Cz Capacitor of the Type2 Compensation C z + 15 @ C p Rz Resistor of the Type2 Compensation Rz + I in,max + 2 Ǹ2 @ (P in,avg) max (V in,rms) LL ȡ ȧ Ȣ 2 p @ Cz @ fc @ 1* V out,nom ǒ 4 @ V out,nom * ǒǸ2 @ (V in,rms) LL if (V in,rms) LL v Maximum Level of the Input Current I in,max + 2 Ǹ2 @ Current Limitation Ǔ V out,nom *1 V REF R ovp2 + OVP Resistors Loop Compensation V REF I FB (P in,avg) max (V in,rms) LL @ ǒ 1* V out,nom 4 @ Ǹ2 @ (V in,rms) LL if (V in,rms) LL w R CS + Current Sense Resistor Over Current Resistor P Rcs @ (V in,rms) LL 2 R OCP + http://onsemi.com 20 V out,nom 2 Ǹ2 (P in,avg) max 2 R CS @ I in,max 210 @ 10 −6 Ǔ V out,nom 2 Ǹ2 ȣ ȧ ǓǓȤ NCP1631PFCGEVB • fOSC(nom) is the oscillator frequency without frequency • • kBO is the brown−out scaling down factor ǒ foldback (fsw(max)) is the nominal clamp frequency for each branch (in the absence of frequency foldback), that is ǒ Ǔ external capacitor (Cbo) together with Rbo1 and Rbo2 • IHYST is the internal 7−mA internal current source used • (fsw(max))min is the minimum clamp frequency for each • • • • • • • • • • • • • • • • branch resulting from frequency foldback Vout,nom is the nominal output voltage of the PFC stage (regulation level) (Vin,rms)LL is the lowest level of the line rms voltage (Pin,avg)max is the maximum level of the average input power (IL,pk)max is the maximum peak current absorbed by one branch of the interleaved PFC (normal operation) (IL,rms)max is the maximum rms current drawn by one branch of the interleaved PFC (normal operation) Pon are the MOSFET conduction losses (in one branch) RDS(on) is the MOSFET on−time resistor (for one branch) (dVout)pk−pk is the output peak to peak ripple w is the line angular frequency (w = 2p x fline) fline is the line frequency Cbulk is the bulk capacitor tHOLD−UP is the specified hold−up time (IC,rms)max is the rms current of the bulk capacitor. Its given computation assumes a resistive load. Vout,min is the minimum level of the output voltage that is acceptable for the downstream converter (Pin)HL is the maximum level that can be virtually delivered by the PFC stage as allowed by the timing resistor selection. For the sake of a welcome margin, ((Pin)HL) should be selected about 30% higher than the expected maximal input power that is: • • • • • in a traditional PFC stage. • (Vin,avg)boL is the averaged input voltage below which the Brown−out protection trips. ǒ • • • • • • 2 Ǹ2 (V in,avg) boH + p @ V in,rms Ǔ in a traditional PFC stage. VBO(th) is the internal 1−V brown−out voltage reference. Rz, Cz and Cp are the compensation components. fc is the crossover frequency. RCS is the current sense resistor. PRcs are the losses across Rsense. 0.2% of the maximum power generally gives a good trade−off between noise immunity and efficiency. ROCP is the resistor that placed between the CS pin and RCS, sets the maximum level of the input current (total current absorbed by the two branches). Remark Regarding the Compensation: The compensation is computed to have a phase margin in the range of 60°. The high frequency pole can be set at a lower frequency. Practically, Cp can be increased up to 4 times the proposed value (without changing Rz and Cz ) to reduce the ripple on the Vcontrol pin and further improve the THD. This is at the cost of a diminution of the phase margin that can drop as low as 30°. Example 1: 300−W, Wide Mains Application We select a 120−kHz frequency clamp per branch. The maximum output power being 300 W, we estimate that the input power can be as high as around 325 W (92% efficiency at the lowest line – conservative figure that offers some margin). The power capability ((Pin)HL) is set 125% higher at 400 W. The minimum input voltage being 90 Vrms, the brown−out block is dimensioned so that the circuit starts operating when the line rms voltage exceeds 81 V and a brown−out fault is detected when the line magnitude goes below 72 V. The regulation level is set to 390 V (Vout,nom = 390 V) and the OVP level to 410 V (Vout,ovp = 410 V). A 100−mF bulk capacitor is implemented. The current resistor is selected so that it does not consume more than about 0.2% of the maximum power (PRsense = 0.2% x (Pin,avg)max). • (Pin)FF is the input power level below which the circuit • for hysteresis (Vin,avg)boH is the averaged input voltage at which the circuit starts operation. ǒ(Vin,avg)boH + Ǹ2 @ Vin,rmsǓ ǒ(Pin)HL + 130% @ (Pin,avg)maxǓ • Ǔ R bo2 R bo1 ) R bo2 • fBO is the frequency pole created by the BO pin f OSC(nom) 2 k BO + starts to reduce the switching frequency (Frequency Fold−back) RFF is the resistor to be placed between pin6 and ground to control the frequency fold−back characteristic RFmin is the resistor that can be placed between the oscillator pin and ground to adjust a minimum frequency. The moderate impact on the fOSC(nom) value is not taken into account in the given fOSC(nom) computation equation. Rfb1 and Rfb2 are the feedback sensing resistors. Rovp1 and Rovp2 are the OVP sensing resistors. Vout,ovp is the OVP output voltage. VREF is the internal 2.5−V voltage reference. Rbo1 and Rbo2 are the Brown−Out sensing resistors. http://onsemi.com 21 NCP1631PFCGEVB Table 2. Lw 90 2 @ ǒ390 * Ǹ2 @ 90Ǔ ^ 140 mH 320 @ 390 @ 120 k (I L,pk) max + Ǹ2 @ 320 ^ 5.0 A 90 320 1 @ ^ 2.1 A (I L,rms) max + Ǹ3 90 Coil Selection A 150−mH ń 6 Apk ń 2.5 A rms coil was selected Power Components MOSFET Conduction Losses ǒ Ǔ (P on) max + 1 @ R DS(on) @ 320 90 3 (dV out) pk−pk + Brown−out Block BO Bottom Resistor Ǹǒ BO Filtering Capacitor ǒ Ǔ 2 16 Ǹ2 @ 325 * 300 9p 90 @ 390 390 ǓǓ ǒ 115 * 65 @ 1 * 10% 3 R bo1 + 7 @ 10 −6 R bo2 + C bo + ǒ ƫ 8 Ǹ2 @ 90 ^ 3 @ R DS(on) 3p @ 390 (f line + 60 Hz) 2 @ 300 @ t HOLD−UP ^ 0.014 @ t HOLD−UP 390 2 * 330 2 (I C,rms) max + BO Upper Resistor ƪ @ 1* 300 ^ 20 V 100 m @ 2p @ 60 @ 390 C bulk w Bulk Capacitor 2 ǒ Ǔ 2 ^ 1.3 A ^ 7450 kW 7200 @ 10 3 ^ 116 kW 65 @ 1 * 10% * 1 1 3 ǓǓ ǒ å 7200 kW å 120 kW −6 7200 k ) 120 k ^ 13.5 @ 10 ^ 220 nF f line 2p @ 7200 k @ 120 k @ 10% @ f line (f line + 60 Hz) Timing Resistor Pin3 Resistor R t + 4026 @ 10 3 @ Oscillator Frequency (No Frequency Foldback) −6 f OSC(nom) ^ 52 @ 10 −12 ^ 236 kHz 220 @ 10 Clamp Frequency per Branch Oscillator Fold−Forward Power Threshold Minimum Frequency (per Branch) Feedback Resistors 120 k @ Ǹ150 m @ 400 ^ 16.2 kW å 18 kW 7200 k ) 120 k å (P in) HL + 494 W ǒfsw(max)Ǔ (P in) FF + ǒfsw(max)Ǔ min + nom + f OSC(nom) 2 ^ 118 kHz R FF 4700 W @ (P in) HL + @ 494 ^ 147 W 15810 W 15810 W ǒ 1 ǒ 270 k*114 k 2 @ 270 k @ 220 p @ 0.22 ) In 270 k*143 k Feedback Bottom Resistor R fb2 + 2.5 ^ 27 kW 92 m Feedback Upper Resistor R fb1 + 27 k @ 390 * 1 + 4185 kW 2.5 OVP Bottom Resistor R ovp2 + 2.5 ^ 27 kW 92 m OVP Upper Resistor R ovp1 + 27 k @ 410 * 1 ^ 4400 kW 2.5 ǒ OVP Resistors ǒ http://onsemi.com 22 Ǔ Ǔ ǓǓ ^ 19.8 kHz NCP1631PFCGEVB Table 2. Loop Compensation Cp Capacitor of the Type2 Compensation Cp ^ Cz Capacitor of the Type2 Compensation C z + 15 @ 68 n ^ 1.02 mF Rz Resistor of the Type2 Compensation Rz + Maximum Level of the Input Current I in,max + 2 Ǹ2 @ 325 @ 1 * 90 1.06 @ 10 −6 @ 494 ^ 86 nF 100 @ 10 −6 @ 20 2 @ 390 2 Current Limitation å 1.0 mF 2 ^ 31.8 kW p @ 1.0 m @ 20 ȡ ȧ Ȣ å 33 kW 390 4 @ 390 * ǒǸ2 @ 90Ǔ ǒ ȣ ^ 6.4 A Ǔȧ Ȥ @ 90 + 49.8 mW R CS + 0.2% @ 325 325 2 å 50 mW −3 R OCP + 50 @ 10 @−66.4 ^ 1.52 kW 210 @ 10 å 1.5 kW 2 Current Sense Resistor Over Current Resistor å 68 nF BILL OF MATERIALS Table 3. BILL OF MATERIALS* Designator Qty Description Value CM1 1 CM Filter, 4 A 2*6.8 mH C2 1 Electrolytic capacitor C5 1 X2 capacitor C6 1 X2 capacitor C10, C16 2 C15 Tolerance Substitution Allowed Footprint Manufacturer Manufacturer Part Number 4A/ 250 V through-hole EPCOS B82725-A2402-N1 NO 100 mF 450 V through-hole BC Components 2.22216E+11 NO 100 nF 275 V through-hole RIFA PHE840MB6100MB05R17 NO 1 mF 275 V through-hole RIFA PHE840MD7100MD20R06L2 NO Y capacitor 4.7 nF 275 V through-hole Murata DE1E3KX472MA5B NO 1 Ceramic capacitor 220 pF 5%, 50 V SMD, 1206 C18 1 X2 capacitor 680 nF 275 V through-hole C20 1 Ceramic capacitor 150 nF 10%, 50 V SMD, 1206 YES C22, C27 2 Ceramic capacitor 1 nF 10%, 50 V SMD, 1206 YES C25 1 Ceramic capacitor 1 mF 10%, 50 V SMD, 1206 YES C28 1 Ceramic capacitor 220 nF 10%, 50 V SMD, 1206 YES C30, C33 2 Ceramic capacitor 100 nF 10%, 50 V SMD, 1206 YES C32 1 Electrolytic capacitor 100 uF 25 V through-hole YES C34 1 Ceramic capacitor 10 nF 10%, 50 V SMD, 1206 YES D6, D14, D15 3 Diode D1N4148 through-hole Philips 1N4148 YES D3 1 LED 3mm 2.4V/2mA through-hole Vishay TLLG4400 YES D4, D5 2 Boost diode MUR550 5 A, 500 V Axial ON Semiconductor MUR550APFG NO D16 1 Standard recovery diode, 600 V 1N5406 3 A, 600 V Axial ON Semiconductor 1N5406G NO D21 1 Zener diode, 18 V 18 V through-hole NXP BZX79-C18 NO *All products listed are Pb−free. http://onsemi.com 23 YES EPCOS B32923A2684M NO NCP1631PFCGEVB Table 3. BILL OF MATERIALS* Tolerance Manufacturer Part Number Substitution Allowed AAVID THERMALLOY 437479 NO through-hole Wurth Electronics 7447076 NO TO92 ON Semiconductor MPS2907AG NO Designator Qty Description Value HS1 1 Heatsink, 2.9 °C/W 2.9 °C/W L4 1 DM Choke, WI-FI series 150 mH/ 5 A Q1, Q2 2 PNP transistor 2N2907 R2, R6 2 Axial resistor, 1/4 W 1 kW 1% through-hole YES R1 1 Axial resistor, 1/4 W 1.8 kW 1% through-hole YES R7, R17 2 Axial resistor, 1/4 W 2.2 W 1% through-hole YES Footprint 20%, 5A Manufacturer R11, R20 3 SMD resistor, 1206, 1/4 W 10 kW 1% SMD, 1206 YES R14, R15 2 SMD resistor, 1206, 1/4 W 22 kW 1% SMD, 1206 YES R16, R21 2 Axial resistor, 1/4 W 0W 1% through-hole YES R18 1 Axial resistor, 1/4 W 560 kW 0.01 through-hole YES R23 1 Axial resistor, 1/4 W 820 kW 0.01 through-hole YES R24 1 Axial resistor, 3 W, ±1% 50 mW 0.01 through-hole R25, R40 2 SMD resistor, 1206, 1/4 W 27 kW 0.01 SMD, 1206 Vishay RLP3 0R050 YES NO R31, R32, R38, R39, R41, R42, R43, R44 8 Axial resistor, 1/4 W 1800 kW 1%, 1/4 W through-hole YES R33 1 SMD resistor, 1206, 1/4 W 18 kW 0.01 SMD, 1206 YES R34 1 SMD resistor, 1206, 1/4 W 270 kW 0.01 SMD, 1206 YES R36 1 SMD resistor, 1206, 1/4 W 33 kW 0.01 SMD, 1206 YES R37 1 SMD resistor, 1206, 1/4 W 4.7 kW 0.01 SMD, 1206 YES R45 1 SMD resistor, 1206, 1/4 W 0W 0.01 SMD, 1206 YES R46 1 SMD resistor, 1206, 1/4 W 120 kW 0.01 SMD, 1206 YES R121, R122, R123 3 SMD resistor, 1206, 1/4 W 680 kW 0.01 SMD, 1206 YES U1 1 Diode Bridge KBU6K U2 1 Interleaved PFC controller, SOIC-16 NCP1631 - X1, X5 2 PFC coil 150 mH - X4, X6 2 MOSFET IPP50N250 CP 550 V 2 General Semiconductor KBU6K NO ON Semiconductor NCP1631 NO CME OF9120 NO Infineon IPP50N250CP NO TO220 isolators Bergquist 3223-07FR-43 YES 5 Board “legs” RICHCO TCBS-801 YES F1 1 Fuse 4A Temporised 250 V Shurter 34.3123 YES X4, X6 2 MOSFET IPP50N250 CP 550 V TO220 Infineon IPP50N250CP NO VOUT 1 Connector - - - Multi Contact 23.3200-22 YES GND 1 Connector - - - Multi Contact 23.3200-21 YES J1 1 Connector - - - Schurter GSF1.1201.31 YES J2 1 Connector - - - Weidmuller PM 5.08/2/90 3.5 SW YES SO16 TO220 *All products listed are Pb−free. http://onsemi.com 24 NCP1631PFCGEVB Figure 13. Evaluation Board Schematic http://onsemi.com 25 NCP1631PFCGEVB TEST PROCEDURE FOR THE NCP1631PFCGEVB EVALUATION BOARD • The board contains high voltage, hot, live parts. • Be very cautious when manipulating or testing it. • It is the responsibility of those who utilize the board, • • • • Brown-out levels: Starts operation when the line voltage exceeds about 84 Vrms. ♦ Stops operation when the line voltage drops below 72 Vrms. The NCP1631 is to be supplied by an external power source ranging from 13 V to 20 Vdc. The board PCB offers the option where NCP1631 is self-supplied. For that, some components are to be added (see relevant application note). ♦ to take all the precautions to avoid that themselves or other people are injured by electric hazards or are victim of any other pains caused by the board. Input Range: 85 to 265 Vrms. Output Voltage: 390 Vdc Output Power Range: 0 to 300 W • • 390 Vdc Output Voltage The external Vcc voltage (from 13 to 20 V) is to be applied here Line Connector (The input voltage range is from 85 V to 265 Vrms) NCP1631 Figure 14. NCP1631GEVB Evaluation Board http://onsemi.com 26 NCP1631PFCGEVB Load (0.8 A max) VOUT GND NCP1631 Board GND Vcc Input Socket V Oscilloscope A Isolated current probe 390 Vdc High voltage probe Voltage source (13 to 20 Vdc) Power analyzer NOTE: The resistive or active load must be able to sustain 450 V (including transients) Input Voltage (85 to 265 Vrms) Figure 15. Test Setup Test 1 Test 3: OCP 1. Apply the input voltage 115 Vrms to the input socket. 2. Connect a load between the (Vout;GND) terminals. Set the output current (Iout) to 0.8 A. 3. Place a power analyser able to measure: the input power (Pin),the power factor (PF), the total harmonic distorsion (THD) 4. Apply the VCC voltage 15 Vdc. 5. Verify that: Parameters Comments Limits VOUT Voltage measured between “VOUT” and “GND” 370 V < VOUT < 409 V PF Power Factor > 0.980 THD Total Harmonic Distortion < 13 % Efficiency VoutIout / Pin > 96 % 9. Set the input voltage to 90 Vrms and the output current to 0.8 A. 10. Gradually decrease the input voltage while observing the input current with the oscilloscope until the top of the sinusoid becomes flat as in the blue curve in Figure 16. 11. Measure the plateau: it must be between 7.27 and 8.13 A Test 4: OVP 12. Observe the output voltage with an oscilloscope. Set the triggering level at about 200 V, the trigger position being set at 10% of the screen. Program the scope to observe 50 or 100 ms in single acquisition mode. 13. Set the input voltage to 115 Vrms and apply it to the board. 14. Abruptly apply the VCC voltage (15 V). Check that the output voltage keeps below 424 V. Test 2 6. Observe the input current using an oscilloscope and a current probe. The current is nearly sinusoidal. 7. Increase the input voltage to 230 Vrms 8. Verify that: Parameters Comments Limits VOUT Voltage measured between “VOUT” and “GND” 370 V < VOUT < 409 V PF Power Factor > 0.970 THD Total Harmonic Distortion < 13 % Efficiency VoutIout / Pin > 97.5 % Test 5: Frequency Foldback 15. Set the output current to 0.07 A and the input voltage to 115 Vrms. 16. Connect a voltage probe to the test point DRV1 on the board and a current probe to observe the input current. 17. Set the trigger at the top of input current sinusoid and zoom in to see the DRV pulses. 18. Measure the switching frequency: it should be between 35 kHz and 50 kHz. http://onsemi.com 27 NCP1631PFCGEVB Iin (2 A/ div) Vcontrol (1 V/div) Iline (2 A/div) Figure 16. Figure 17. http://onsemi.com 28 onsemi, , and other names, marks, and brands are registered and/or common law trademarks of Semiconductor Components Industries, LLC dba “onsemi” or its affiliates and/or subsidiaries in the United States and/or other countries. onsemi owns the rights to a number of patents, trademarks, copyrights, trade secrets, and other intellectual property. A listing of onsemi’s product/patent coverage may be accessed at www.onsemi.com/site/pdf/Patent−Marking.pdf. onsemi is an Equal Opportunity/Affirmative Action Employer. This literature is subject to all applicable copyright laws and is not for resale in any manner. The evaluation board/kit (research and development board/kit) (hereinafter the “board”) is not a finished product and is not available for sale to consumers. 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