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R2A20115 Application Note - Renesas Electronics

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<strong>R2A20115</strong><br />

<strong>Application</strong> <strong>Note</strong><br />

1. Introduction<br />

APPLICATION NOTE<br />

<strong>R2A20115</strong> is a power-factor correction (PFC) controller IC, which employs continuous conduction mode as PFC<br />

control mode. Various kinds of functions such as constant power limit, overvoltage detection, overcurrent detection,<br />

soft start function, feedback-loop open detection, and the function holding its operation through momentary outage<br />

(PFC hold function) are incorporated in a single chip. These functions reduce external circuitry.<br />

The constant power limit function significantly reduces "coil vibration", which is caused by the operation of a<br />

conventional overcurrent detection circuit when the system is overloaded.<br />

The PFC hold function enables quick recovery by keeping PFC operation active for a certain duration (hold time)<br />

during momentary outage/power failure. The hold time can be adjusted by an external capacitor.<br />

This IC provides the separated pin used for detecting overcurrent, so that, the preset current value range for overcurrent<br />

detection becomes wider than before.<br />

The shutdown function with latch mode is also implemented.<br />

A soft-start control pin is provided for the easy adjustment of soft-start operation.<br />

And also the dynamic over voltage protection function integrated in this IC reduces overshooting of the output voltage,<br />

which might occur for the duration of startup, recovery after momentary power failure and just after a sudden variation<br />

of a load.<br />

2. Block Diagram<br />

RT<br />

CT<br />

CAO<br />

IAC<br />

CAI<br />

CLIMIT<br />

CGND<br />

EO<br />

FB<br />

PFC-ON<br />

9<br />

10<br />

7<br />

12<br />

5<br />

8<br />

4<br />

14<br />

13<br />

11<br />

VREF<br />

0.1μ<br />

Multiplier<br />

2.48V<br />

VAMP<br />

0.52V<br />

3.6V<br />

0.65V<br />

0.81V<br />

0.79V<br />

CAMP<br />

27.5V<br />

VCC<br />

16<br />

DELAY<br />

EO<br />

Discharge<br />

FB<br />

10.4V<br />

H<br />

UVLO<br />

L<br />

8.9V<br />

CLIMIT<br />

Shut down<br />

VREF<br />

5V VREF<br />

Generator<br />

Gate Driver<br />

+/– 1.0A (PEAK)<br />

R03AN0002EJ0100 Rev.1.00 Page 1 of 13<br />

Jan 25, 2011<br />

SS<br />

OVP Block<br />

Logic<br />

OUT<br />

Disable<br />

AC-Det<br />

UVL<br />

VREF In<br />

GOOD<br />

Out<br />

5V Internal Bias<br />

VREF<br />

28μA<br />

Circuit Ground<br />

6<br />

1<br />

15<br />

2<br />

3<br />

VREF<br />

OUT<br />

SS<br />

GND<br />

DELAY<br />

R03AN0002EJ0100<br />

Rev.1.00<br />

Jan 25, 2011


<strong>R2A20115</strong> <strong>Application</strong> <strong>Note</strong><br />

3. Example Design of a Peripheral Circuit of <strong>R2A20115</strong> (Reference Design)<br />

<strong>Note</strong>: This shows the example of IC peripheral circuit design. So that, the circuit parameters/constants might differ<br />

from them shown below, depending on types of parts, locations of parts, board patterns and so on. Please<br />

examine and evaluate the operation of your actual circuit and board sufficiently.<br />

In calculations achieved in this section, symbol names of parts, such as "Cout", "Cpfc", etc. are utilized based on the<br />

example diagram depicted below.<br />

L<br />

Rcs<br />

Isum<br />

Rmo<br />

Rmo<br />

12V<br />

+<br />

Cout<br />

CGND<br />

CAI<br />

Vout<br />

Reo1<br />

+<br />

10μ<br />

C-Amp<br />

+<br />

–<br />

Imo<br />

Ceo1<br />

16 15 14 13 12 11 10 9<br />

VCC<br />

OUT<br />

1000p<br />

<strong>R2A20115</strong><br />

1 2 3 4 5 6 7 8<br />

Rclimit1<br />

0.1μ<br />

R03AN0002EJ0100 Rev.1.00 Page 2 of 13<br />

Jan 25, 2011<br />

Reo2<br />

Ceo2<br />

SS<br />

GND<br />

Figure 1<br />

Css<br />

EO<br />

DELAY<br />

Vout<br />

Rfb1 Rfb2<br />

Cdelay<br />

Rmo<br />

FB<br />

CGND<br />

Rmo<br />

Rcs<br />

IAC<br />

CAI<br />

AC_Rectifier<br />

Cpfc<br />

<strong>Note</strong>: Calculations carried out in this section are summarized in Excel sheets. If necessary, please contact a <strong>Renesas</strong><br />

sales office.<br />

Rac<br />

Rpfc1<br />

PFC-ON<br />

VREF<br />

Rref-cai<br />

Rpfc2<br />

CT<br />

CAO<br />

Ct<br />

RT<br />

CLIMIT<br />

Rt<br />

Ccao2<br />

Ccao1<br />

Rclimit3<br />

Rclimit2<br />

Rcao1<br />

Rcao2<br />

Cclimit1


<strong>R2A20115</strong> <strong>Application</strong> <strong>Note</strong><br />

It shows the design example according to the specifications of power supply describe in table 1.<br />

Table 1 Specifications of Power Supply (Example)<br />

Item Setting (Range) Symbol<br />

The range of AC input voltage AC80 V to 265 V Vac(min) to Vac(max)<br />

The range of AC input frequency 40 Hz to 70 Hz fac(min) to fac(max)<br />

Output voltage 395 V Vout<br />

Rated output power 500 W Pout<br />

Power limiter 600 W Plimit<br />

3.1 Switching Frequency (fout)<br />

The noise frequency appearing on an output terminal of the system higher than 150 kHz is regulated, so that, in general,<br />

the 2nd harmonic of the switching frequency should be set at the frequency lower than 150 kHz. In this case, the<br />

switching frequency should be lower than 150 kHz/2 = 75 kHz. By taking account of margin, the switching frequency<br />

results in 65 kHz.<br />

3.2 Boost Inductor (L)<br />

Ripple current (�I) flowing in the boost inductor L is obtained by the formula (1).<br />

Generally, the inductance value L should be set such that the boost inductor current is 20% of peak value of input AC<br />

current when minimum input AC voltage (Vac(min)) and rated load are applied. By this consideration, the inductance<br />

value L can be obtained by the formula (2).<br />

√2 ⋅ Vac(min) ⋅ (VOUT – √2 ⋅ Vac(min))<br />

ΔI = ⋅ ⋅ ⋅ (1)<br />

fOUT ⋅ L ⋅ VOUT<br />

√2 ⋅ Vac(min) ⋅ (VOUT – √2 ⋅ Vac(min))<br />

L = ⋅ ⋅ ⋅ (2)<br />

fOUT ⋅ 0.2 ⋅<br />

√2 ⋅ POUT<br />

Vac(min)<br />

⋅ VOUT<br />

AC Input Peak<br />

Current<br />

Inductor Current<br />

Figure 2 AC Input Current and Inductor Current<br />

By assigning (numerical) values, the inductance value L results in 703 �H from formula (2).<br />

As is often the case with actual design, the inductance value L can not be selected ideally as given by the formula (2),<br />

due to the limitation in size, necessity of using an inductor diverted from other products, so on. In order to get sufficient<br />

characteristics of DC superimpose using with as small core as possible, it is necessary to make the inductance value<br />

rather small. So that, by taking this into account, the value of 150 �H is adopted as the inductance value L in this<br />

application note. In this case, ripple current (�I) results in 8.28 A from the formula (1).<br />

R03AN0002EJ0100 Rev.1.00 Page 3 of 13<br />

Jan 25, 2011<br />

ΔI


<strong>R2A20115</strong> <strong>Application</strong> <strong>Note</strong><br />

3.3 Output Capacitor (Cout)<br />

The capacitance value of the output capacitor (Cout) is calculated based on the hold up time of output voltage (tkeep)<br />

and the minimum output voltage (Vout(min)) by the formula (3).<br />

2 ⋅ Pout ⋅ tkeep<br />

Cout = ⋅ ⋅ ⋅ (3)<br />

Vout 2 – Vout(min) 2<br />

Cout will result in 811 �F based on the following conditions.<br />

� Hold up time (tkeep): 12.5 ms (a half of minimum AC frequency)<br />

� Allowance of output voltage variation: –20 V.<br />

Ripple current (ICripple) is obtained by the formula (4).<br />

2<br />

2<br />

2 ⋅ √2 ⋅ Vout Pout √2 ⋅ Vac(min)<br />

ICripple = – 3 ⋅ +<br />

⋅ ⋅ ⋅ ⋅ (4)<br />

Vac(min) Vout 3 ⋅ Vout<br />

ΔI<br />

2<br />

In case of EVB, the formula (4) gives 4.38 A as the value of ripple current.<br />

On the EVB, as the capacitor (Cout), of which capacitance value is near/close to the calculated value (811 �F), parallel<br />

connection of two capacitors, each of which capacitance/blocking voltage and ripple current allowance is 470 �F/450 V<br />

and 2.64 A respectively, is used. As for the ripple current, calculated ripple current in each capacitor is a half of 4.38 A<br />

(2.19 A), which is smaller than ripple current allowance of it.<br />

3.4 PFC-ON Terminal Voltage<br />

In order to detect the level of input AC voltage, the voltage is applied to PFC-ON terminal, the voltage which is passed<br />

through the full-wave rectifier from AC input voltage, and then divided by resisters and then smoothed by smoothing<br />

capacitor. The voltage is obtained by the formula (5).<br />

VPFC-ON =<br />

2 ⋅ √2<br />

π<br />

Rpfc2<br />

⋅<br />

⋅ Vac(rms)<br />

Rpfc1 + Rpfc2<br />

⋅ ⋅ ⋅ (5)<br />

The values of division resistors should be set such that VPFC-ON should be larger than 0.82 V at the minimum input<br />

AC voltage (Vac(min)) and should not exceed the voltage of PFC-ON terminal absolute maximum rating. In the case of<br />

EVB, the division resistors consist of 720 k� and 14 k� (10 k� fixed resister and variable resistor (20 k� at<br />

maximum)), so that, VPFC-ON is 1.37 V at AC 80 V and 4.55 V at AC 265 V.<br />

It is necessary to smooth the voltage waveform passed through the full-wave rectifier, so that, the smoothing filter<br />

should be designed such as to have sufficient attenuation at twice of AC input frequency. In the case that the minimum<br />

input AC frequency is 40 Hz, the filter should have sufficient attenuation at 80 Hz (2 � 40 Hz), so that, by setting the<br />

cutoff frequency at around 10 Hz, the value of smoothing capacitor (Cpfc) can be obtained by the formula (6).<br />

1<br />

Cpfc = ⋅ ⋅ ⋅ (6)<br />

Rpfc1 ⋅ Rpfc2<br />

2π ⋅ fc ⋅<br />

Rpfc1 + Rpfc2<br />

By the formula (6), Cpcf results in 1.16 �F. In the case of EVB, it is set to 1 �F.<br />

PFC-ON terminal is for monitoring AC voltage. So, time constant of RC circuit consisting of Rpfc2 and Cpfc should be<br />

as small as possible, because too large time constant causes the delay of detecting brownout and sag. It is not<br />

recommended to use the output of main bridge diode as input signals of PFC-ON and IAC terminals. Because the<br />

output node of the main bridge diode is connected to the capacitor, of which the value of capacitance ranges from some<br />

tenths of �F to some �F, for smoothing ripple current in the boost inductor in general, and if charge in this capacitor can<br />

not be fully discharged in case of small load applied, the detection of the waveform of the full-wave rectifier might not<br />

be carried out normally and then the operation of the system might be unstable.<br />

R03AN0002EJ0100 Rev.1.00 Page 4 of 13<br />

Jan 25, 2011


<strong>R2A20115</strong> <strong>Application</strong> <strong>Note</strong><br />

3.5 Circuit Design of Current Control (Constant Power Limiter Portion)<br />

Because the resistance values, Rac, Rcs, Rt, and Rmo depend on one another, as expressed in the formulas (7) through<br />

(11), there can be various combinations of them. So, if the result of calculation largely exceeds the range of<br />

recommended value, please calculate them again. The table of the recommended value range for each resister are listed<br />

in the table 2.<br />

Table 2 Recommended Value Range of Resistors<br />

Item Min — Max Unit<br />

Rac 620 k — 2 M �<br />

Rcs 0.01 — 0.1 �<br />

Rt 10 k — 100 k �<br />

Rmo 1 k — 10 k �<br />

3.5.1 Resistor on IAC Terminal<br />

IAC terminal is for inputting AC voltage waveform as the current signal converted from the voltage waveform passed<br />

through the full-wave rectifier by the resistor, Rac. IAC terminal should not exceed 600 �A (absolute maximum rating)<br />

at maximum input AC voltage.<br />

Rac ><br />

√2 ⋅ Vacmax<br />

600 μA<br />

⋅ ⋅ ⋅ (7)<br />

3.5.2 Resistor on RT Terminal<br />

When the input AC voltage decreases, the input AC current increases in inverse proportion to it under constant load.<br />

Even in the situation that the input voltage decreases temporally, such as the case of the duration of starting up,<br />

brownout, and sag, the input AC current is controlled to increase. In such a case, the audio noise/coil vibration of the<br />

boost inductor or over-loading on each device might occur by the operation of the over current protection circuit. To<br />

avoid these, the function to set the upper limit on the current on CAI terminal is provided. Maximum value of CAI<br />

terminal current is in inverse proportion to RT resistor value. When power limit (Plimit) is in operation at minimum<br />

input AC voltage (Vac (min)), CAI terminal current is obtained by the formula (8). Please set the RT value to satisfy<br />

formula (9) according to the result of the formula (8).<br />

2.425 ⋅ (Rpfc1 + Rpfc2)<br />

Icaimax = ⋅ ⋅ ⋅ (8)<br />

2<br />

Vacmin ⋅ Rac ⋅ Rpfc2 2<br />

4.95<br />

RT < ⋅ ⋅ ⋅ (9)<br />

Icaimax<br />

3.5.3 Current Detect Resistor<br />

Please determine the resistance value of the current detect resistor Rcs in consideration of the power consumption of it<br />

with maximum load at minimum AC input voltage, namely, please determine the value of Rcs to satisfy the formula<br />

(10).<br />

Rcs < Vacmin<br />

Plimit<br />

2<br />

⋅ (Rated Power Consumption of Rcs)<br />

⋅ ⋅ ⋅ (10)<br />

3.5.4 Resistor on CAI Terminal and CGND Terminal<br />

The resistance value of the resistor, Rmo to be connected to CAI terminal or CGND teminal is obtained by the formula<br />

(11).<br />

Plimit =<br />

1.715 ⋅ Rmo ⋅ (Rpfc1 + Rpfc2)2<br />

Rcs ⋅ Rac ⋅ Rpfc2 2<br />

⋅ ⋅ ⋅ (11)<br />

R03AN0002EJ0100 Rev.1.00 Page 5 of 13<br />

Jan 25, 2011


<strong>R2A20115</strong> <strong>Application</strong> <strong>Note</strong><br />

3.6 IC Operating Frequency<br />

IC operating frequency, fout is determined both by the resistor on RT and the capacitor on CT terminal. It is<br />

approximately calculated by the formula (12).<br />

fout =<br />

1.69 × 106 Rt [kΩ] [KHz]<br />

× Ct<br />

[pF]<br />

⋅ ⋅ ⋅ (12)<br />

Using the values, fout (65 kHz obtained in subsection 3.1) and Rt (62 k� obtained in subsection 3.5.2), the calculated<br />

capacitance value of Ct result in 420 pF by the formula (12). On EVB, the value of 390 pF is used as Ct. The value of<br />

Ct should be larger than 100 pF in order to reduce the influence of parasitic capacitance and noise.<br />

Actual value is different from calculated one at high frequency because of IC internal delay. Please confirm it's<br />

operation using an actual board. Maximum operating frequency is 400 kHz. The figure depicted below shows the<br />

reference data of operation frequency related timing resistor and capacitor.<br />

Operational Frequency [kHz]<br />

1000<br />

100<br />

10<br />

1<br />

1 10 100 1000<br />

Timing Resistor [kΩ]<br />

Figure 3 Operational Frequency<br />

Timing Capcitor<br />

Ct<br />

560 pF<br />

1000 pF<br />

3300 pF<br />

5600 pF<br />

0.01 μF<br />

3.7 Output Voltage Setting<br />

The voltage divided by resisters from output voltage is applied to FB terminal. FB terminal is controlled to keep its<br />

voltage at 2.48 V. So, please determine division resistors to satisfy the specification of output voltage. On the EVB,<br />

Rfb1 is set at 680 k� and Rfb2 is set at 4.3 k� (3 k� + adjustable resistor (max 5 k�)).<br />

⋅ 2.48 V Rfb1 + Rfb2<br />

Vout = ⋅ ⋅ ⋅ (13)<br />

Rfb2<br />

R03AN0002EJ0100 Rev.1.00 Page 6 of 13<br />

Jan 25, 2011


<strong>R2A20115</strong> <strong>Application</strong> <strong>Note</strong><br />

3.8 Over Current Detection Circuit<br />

The over current detection circuit monitors voltage drop in the current detection resistor, Rcs. Division resistors,<br />

Rclimit1 and Rclimit2 are connected between VREF terminal and the current detection resister, Rcs, and the<br />

intermediate point of the division resistors is connected to CLIMIT terminal. Over Current Protection (OCP) circuit<br />

will start working when the output current increases, namely, the voltage drop in Rcs increases, and as a result, CLIMIT<br />

terminal voltage becomes lower than 0 V. The detected current is the current superimposed inductor ripple current on<br />

AC current. Formula (14) shows AC peak current (Isum (max)), and formula (15) shows inductor ripple current (�IL).<br />

Then, peak current including ripple current can be obtained by the formula (16).<br />

Isummax = ⋅<br />

Rmo 4.95<br />

Rcs RT<br />

ΔIL =<br />

√2 ⋅ Vacmin<br />

L<br />

1<br />

Isumpeak = Isummax +<br />

2<br />

⋅ ⋅ ⋅ (14)<br />

√2 ⋅ Vacmin 1<br />

⋅ 1 –<br />

⋅ ⋅ ⋅ ⋅ (15)<br />

Vout fosc<br />

× ΔIL<br />

⋅ ⋅ ⋅ (16)<br />

The cause of coil vibration/audio noise is that the over current protection circuit detects over current and then suspends<br />

gate driver pulse. It is possible to avoid it by having the power limiter activated before the over current protection<br />

circuit. To prevent the activation of the over current protection circuit, even if the current reaches to Isumpeak, please<br />

determine the values, Rclimit1, Rclimit2 satisfying formula (17).<br />

On EVB, Rclimit1 and Rclimit2 are set at 22 k� and 10 k�, respectively.<br />

Rclimit2<br />

Rclimit1<br />

⋅ Vref – ⋅ Rcs ⋅ Isumpeak > 0<br />

Rclimit1 + Rclimit2 Rclimit1 + Rclimit2<br />

V<br />

⋅ ⋅ ⋅ (17)<br />

The waveform of current to be inputted to the over current protection circuit is the waveform in which the current in<br />

"sine" shaped waveform with the same cycle time as that of input AC voltage and the current in "sawtooth" shaped<br />

waveform with the same cycle time as that of switching operation are superimposed . In general, in order to avoid<br />

unexpected operation of the over current protection circuit, the filter consisting of Rclimit3 and Cclimit1 should be<br />

connected to the terminal for over current detection. However, the cutoff frequency of the filter is lowered due to the<br />

resistors, Rclimit1 and Rclimit2. And then, this should be noted, over current detection might not carry out correctly<br />

because of the filter, of which cutoff frequency is lower than that of expected. The cutoff frequency, Fclimit is obtained<br />

by the formula (18).<br />

1<br />

fclimit = ⋅ ⋅ ⋅ (18)<br />

Rclimit1 ⋅ Rclimit2<br />

2 ⋅ π ⋅ Cclimit1 ⋅ + Rclimit3<br />

Rclimit1 + Rclimit2<br />

The value of Fclimit should be set at the value at least three times larger than the switching frequency.<br />

At the same time, it should be noted that this value should be set at the value such that the source current of VREF<br />

terminal should not exceed 5 mA, which is the maximum rating.<br />

R03AN0002EJ0100 Rev.1.00 Page 7 of 13<br />

Jan 25, 2011


<strong>R2A20115</strong> <strong>Application</strong> <strong>Note</strong><br />

3.9 Rise Up Time of Output Voltage<br />

The time for charging to the output capacitor is controlled by the operation of the constant power limiter, so that, the<br />

rise time of the output voltage depends on the operation of the constant power limiter. In such a case, the rise time of is<br />

approximately calculated by the formula (19).<br />

tss =<br />

Vout 2 – (√2 ⋅ Vac) 2<br />

1<br />

⋅ Cout ⋅<br />

2 Plimit – A ⋅ Pout<br />

⋅ ⋅ ⋅ (19)<br />

Where "A" is the compensation factor, which is 1 in case that the load is constant power load. On the other hand, "A"<br />

varies from 0.6 to 0.9 in case of constant current load, because the output voltage dominates the power dissipation on<br />

load, so the value of "A" can not be a constant value.<br />

It is possible to make the rise time longer by using the soft start function. The rise time is the duration in which the<br />

voltage of CAO terminal reaches to the normal voltage after discharging of SS terminal. This can be calculated<br />

approximately by the formula (20).<br />

Vac<br />

3.5 – 3.1 ⋅<br />

Vout<br />

tss = Css ⋅ ⋅ ⋅ ⋅ (20)<br />

Iss<br />

On the EVB, Css is 0.47 �F. In this case, Rise up time is obtained by the formula (19).<br />

3.10 PFC Hold Time<br />

PFC hold time (thold) is calculated by the formula (21). It should be noted that PFC hold time depends on input AC<br />

voltage.<br />

Where,<br />

thold = t1 + t2 – t3<br />

t1 =–Rpfc2 ⋅ Cpfc ⋅ ln<br />

0.79 V<br />

VPFC-ON<br />

1.2 V<br />

t2 + t3 = CEDLAY ⋅<br />

Isrc-delay<br />

1.16 V<br />

Isrc-delay =<br />

RT<br />

2 ⋅ √2 ⋅ VAC Rpfc2<br />

VPFC-ON = ⋅<br />

π Rpfc1 + Rpfc2<br />

⋅ ⋅ ⋅ (21)<br />

⋅ ⋅ ⋅ (22)<br />

⋅ ⋅ ⋅ (23)<br />

0.81<br />

Rpfc1 ⋅ Rpfc2<br />

t3 =–Cpfc ⋅ ⋅ ln<br />

⋅ ⋅ ⋅ (24)<br />

Rpfc1 + Rpfc2<br />

V 2 ⋅ √2 ⋅ VAC<br />

–<br />

π<br />

0.4 V 2 ⋅ √2 ⋅ VAC<br />

–<br />

π<br />

⋅ ⋅ ⋅ (25)<br />

⋅ ⋅ ⋅ (26)<br />

R03AN0002EJ0100 Rev.1.00 Page 8 of 13<br />

Jan 25, 2011


<strong>R2A20115</strong> <strong>Application</strong> <strong>Note</strong><br />

AC Input Voltage<br />

passed through<br />

the full wave<br />

rectifier<br />

The Voltage on<br />

PFC-ON<br />

Terminal<br />

The Voltage on<br />

DELAY<br />

Terminal<br />

0.79 V<br />

t1<br />

R03AN0002EJ0100 Rev.1.00 Page 9 of 13<br />

Jan 25, 2011<br />

t2<br />

thold<br />

0.82 V<br />

t3<br />

0.4 V<br />

1.2 V<br />

Figure 4 The Illustration of Hold Time<br />

DELAY terminal should be connect to a capacitor (the capacitance ranges a few hundreds to a few thousands pF) even<br />

if the PFC hold function is not used. In case of DELAY terminal left open, the shutdown capability might be activated.<br />

Depending on the situation of usage, larger capacitance might be needed, so that, please confirm it with your actual<br />

board carefully.<br />

3.11 Frequency Characteristics of Voltage and Current Amplifier<br />

Voltage and current amplifier are consisting of transconductance (gm) amplifier. It does not need to feedback for input<br />

side.<br />

Therefore, it is possible to minimize influence on input circuit by feedback circuit.<br />

Gain of gm amplifier is calculated by product of transconductance and output impedance. For example of voltage<br />

amplifier, the gain, Gv is obtained by the formula (27). Where Gm-v is transconductance of voltage amplifier. Rvo is<br />

output resistor of voltage amplifier itself.<br />

The outline of the characteristics of gain for various parameters are shown in figure 5, and frequency characteristics of<br />

amplifier is shown figure 6.<br />

1<br />

GV = Gm-v ⋅<br />

⋅ ⋅ ⋅ (27)<br />

1 1<br />

1<br />

+ + jωCeo1 +<br />

Rvo Reo1<br />

1<br />

Reo2 +<br />

jωCeo2<br />

Gain<br />

Reo1<br />

larger<br />

Ceo2<br />

larger<br />

Reo2<br />

larger<br />

Ceo1<br />

lager<br />

frequency<br />

Figure 5 Outline of Gain Characteristics


<strong>R2A20115</strong> <strong>Application</strong> <strong>Note</strong><br />

Gain [dB]<br />

80<br />

60<br />

40<br />

20<br />

0<br />

–20<br />

–40<br />

–60<br />

–80<br />

2π ⋅ Ceo2 ⋅<br />

1<br />

Rvo ⋅ Reo1<br />

Rvo + Reo1<br />

1<br />

2π ⋅ Ceo2 ⋅ Reo2<br />

100E–3 1E+0 10E+0 100E+0 1E+3 10E+3 100E+3 1E+6 10E+6<br />

Frequency [Hz]<br />

Gain Phase<br />

1 1<br />

Rvo ⋅ Reo1 2π ⋅ Ceo1 ⋅ Reo2<br />

2π ⋅ Ceo1 ⋅<br />

Rvo + Reo1<br />

R03AN0002EJ0100 Rev.1.00 Page 10 of 13<br />

Jan 25, 2011<br />

200<br />

150<br />

100<br />

50<br />

0<br />

–50<br />

–100<br />

–150<br />

–200<br />

Phase [°]<br />

Gm–v ⋅<br />

Figure 6 V-Amp Frequency Characteristics<br />

Gm–v ⋅ Reo2<br />

Rvo ⋅ Reo1<br />

Rvo + Reo1<br />

Gm-v = 200 μA/V<br />

Rvo = 4 MΩ<br />

Reo1 = 3 MΩ<br />

Reo2 = 2.2 kΩ<br />

Ceo1 = 470 pF<br />

Ceo2 = 6800 pF<br />

3.12 Phase Compensation Circuit of Voltage Amplifier<br />

Output voltage load regulation is in inverse proportion to open loop gain of the voltage amplifier. The voltage variation<br />

(dVout) of output voltage until the output voltage reaches to the voltage, at which the power limiter is activated, is<br />

shown in the formula (28).<br />

dVout =<br />

– ⋅<br />

ΔVeo Rfb1 + Rfb2<br />

Gm-v ⋅ Ro Rfb2<br />

⋅ ⋅ ⋅ (28)<br />

Where �Veo denoting the voltage range of EO terminal is around 3.9 V, Gm-v is the tranceconductance of voltage<br />

amplifier, Ro is the total output impedance of the voltage amplifier, and it is obtained by the formula (29), assuming<br />

Rvo as the output impedance of the voltage amplifier by itself.<br />

Rvo ⋅ Reo1<br />

Ro =<br />

Rvo + Reo1<br />

⋅ ⋅ ⋅ (29)<br />

Gm-v is 180 �A/V and Rvo is around 2.5 M�. Reo1 results in 925 k�, if dVout is set at –5 V. On the EVB, it is set at<br />

820 k�.<br />

The loop compensation of the voltage amplifier is determined by the gain of boost stage and the divided gain of<br />

feedback resistor.<br />

GF-V, denoting the gain of boost stage, is shown by the formula (30).<br />

Rfb2<br />

Pout<br />

GF-V =<br />

⋅<br />

Rfb1 + Rfb2 2πf ⋅ Cout ⋅ ΔVeo ⋅ Vout<br />

⋅ ⋅ ⋅ (30)


<strong>R2A20115</strong> <strong>Application</strong> <strong>Note</strong><br />

Frequency characteristics of voltage loop is expressed by the product of frequency characteristics of boost stage and that<br />

of voltage amplifier. Compensation is necessary enough to decrease ripple voltage, in which the twice of AC frequency<br />

is included.<br />

As an aim, parameters should be set such that the gain of the voltage loop should be around –30 dB at ripple frequency,<br />

and that the cutoff frequency should be set at the value as close as zero cross point of voltage loop in order to keep the<br />

phase margin of the voltage loop.<br />

Below describes the example of basic settings:<br />

GF-V results in 0.00432 times (–47.3 dB) at twice of minimum AC frequency (80 Hz). Therefore, the voltage amplifier<br />

gain should be + 17.3 dB (7.33 times) in order have voltage loop gain be –30 dB at 80 Hz.<br />

Cut off frequency of the voltage amplifier is set at 5.18 Hz (80 Hz � 7.33 / 111.1) because of open loop gain of voltage<br />

amplifier is 40.9 dB (111.1 times). Therefore, Ceo1 results in 0.049 �F (1 / (2� � 5.28 Hz � 617.5 k�)). On the EVB,<br />

Ceo1 is set at 0.033 �F. The calculated/theoretical characteristic is shown in figure 7. Characteristics varies for each<br />

application, so that, please adjust parameters, such as Reo2, Ceo2, Reo3, Ceo3, etc., if necessary.<br />

Gain [dB]<br />

–30dB<br />

–160°<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

–20<br />

–40<br />

–60<br />

–80<br />

–100<br />

–200<br />

100E-3 1E+0 10E+0 100E+0<br />

Frequency [Hz]<br />

1E+3 10E+3 100E+3<br />

Phase Margin<br />

Zero Cross<br />

Frequency<br />

2*fac(min)<br />

Zero Cross<br />

Phase<br />

R03AN0002EJ0100 Rev.1.00 Page 11 of 13<br />

Jan 25, 2011<br />

200<br />

160<br />

120<br />

80<br />

40<br />

0<br />

–40<br />

–80<br />

–120<br />

–160<br />

Phase [°]<br />

–180°<br />

Figure 7 Voltage Loop Frequency Characteristics<br />

Gain of boost stage<br />

Gain of Voltage Amplifier<br />

FB Voltage Divide Gain<br />

Phase of Voltage Loop<br />

Gain of Voltage Loop


<strong>R2A20115</strong> <strong>Application</strong> <strong>Note</strong><br />

3.13 Phase Compensation Circuit of Current Amplifier<br />

Loop compensation of the current amplifier is determined by the gain of voltage, Vrcs (hereafter "gain of PWM"), that<br />

is detected by the resistor converting current to voltage, from Vcao to be inputted to the PWM.<br />

The gain of PWM is obtained by the formula (31).<br />

VRcs Vout ⋅ Rcs<br />

GF-C = ⋅<br />

Vcao ΔVCT ⋅ (Rcs + jωL)<br />

⋅ ⋅ ⋅ (31)<br />

Where �Vct, denoting the amplitude of oscillation on CT terminal, is around 2.95 V.<br />

The gain of current loop is product of gain of PWM and gain of current amplifier.<br />

Frequency characteristics of the current loop should be set such that it has enough gain at twice of AC input frequency,<br />

in order to sufficiently smooth the current waveform passed through full wave rectifier, and that it has rather low gain at<br />

switching frequency. As an aim, set the gain at twice of AC input frequency at the value larger than 50 dB, have the<br />

zero cross frequency 1/10 of switching frequency, and set the gain at switching frequency at –30 dB. On the EVB,<br />

Rcao1 is set at 82 k�, Rcao2 is 2.2 k�, Ccao1 is 470 pF, Ccao2 is 6800 pF.<br />

The calculated/theoretical characteristic is shown in figure 8.<br />

Over<br />

50dB<br />

Gain [dB]<br />

Around<br />

–30dB<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

–20<br />

–40<br />

–60<br />

–80<br />

–100<br />

2 × AC freq.<br />

Zero Cross<br />

freq.<br />

Zero Cross<br />

freq.<br />

Zero freq. of<br />

C-Amp Switching freq.<br />

Around<br />

1/10<br />

Zero Cross<br />

Phase<br />

1E+0 10E+0 100E+0 1E+3 10E+3 100E+3 1E+6<br />

Frequency [Hz]<br />

–150°<br />

–160<br />

–180°<br />

–200<br />

R03AN0002EJ0100 Rev.1.00 Page 12 of 13<br />

Jan 25, 2011<br />

200<br />

160<br />

120<br />

80<br />

40<br />

0<br />

–40<br />

–80<br />

–120<br />

Phase [°]<br />

Phase<br />

Margin<br />

Figure 8 Current Loop Frequency Characteristics<br />

PWM Gain<br />

Gain of Current Amplifier<br />

Gain of Current Loop<br />

Phase of Current Loop<br />

In general, phase compensation circuit of the current amplifier should be connected between CAO terminal and VREF<br />

terminal. However, sometimes having the phase compensation circuit connected between CAO and GND stabilizes the<br />

operation of it more than connected between CAO and VREF terminals, except for Rcao1. (Rcao1 should be connected<br />

between CAO and VREF terminals.) If Rcao1 is not connected any where, or connected between CAO terminal and<br />

GND, the operation might be unstable when the load of the system is light, because amount of detected current becomes<br />

smaller by the light load and then the output of the current amplifier becomes unstable and then the pulse width of<br />

PWM might be controlled to be wider.


<strong>R2A20115</strong> <strong>Application</strong> <strong>Note</strong><br />

3.14 Pattern Layout<br />

In designing the pattern layout, pay as much attention as is possible to the following points:<br />

(1) Place the IC pins (particularly, CGND, CAI, PFC-ON, IAC, FB) and their wiring as far from high-voltage switching<br />

lines (particularly the drain voltage for the power MOSFET) as possible and in general design the wiring to<br />

minimize switching noise.<br />

(2) Wiring connecting between CGND and Rcs via Rmo should be placed near Rcs with separate line.<br />

(3) It is probable that the operation becomes stable by inputting signals via low pass filter to CLIMIT, PFC-ON, IAC,<br />

FB terminal. However, it should be noted that applying low pass filter too strongly might make the operation<br />

unstable on the contrary.<br />

(4) Place a resistors and capacitors connected to VREF, RT, CAO, CT, VCC as close to the IC as possible, and make<br />

wiring length as short as possible.<br />

(5) Below are the items to which attention should be paid generally in pattern layout of PCB listed in order of a priority.<br />

These items are just for reference for pattern layout design, so that please verify the operation of the actual board<br />

sufficiently:<br />

1. Place the IC as far from high voltage switching lines as possible.<br />

2. Place the stabilizing capacitor for VREF as close to the IC as possible.<br />

3. Place the stabilizing capacitor for VCC as close to the IC s possible.<br />

4. Place the resistors and capacitors (Rcao1, Rcao2, Ccao1, Ccao2) for CAO terminal as close to the IC as possible.<br />

5. Wiring between CGND and Rcs via Rmo.<br />

6. Place the timing resistor for RT as close to the IC as possible.<br />

7. Place the timing capacitor for CT as close to the IC as possible.<br />

8. Place the resistors and capacitors (Reo1, Reo2, Ceo1, Ceo2) for EO as close to the IC as possible.<br />

9. Place the resistors and capacitors (Rpfc1, Rpfc2, Cpfc) for PFC-ON as close to the IC as possible.<br />

10. Place the resistors (Rfb1, Rfb2) for FB as close to the IC as possible.<br />

11. Place the resistors (Rac) for IAC as close to the IC as possible.<br />

12. Place the resistors (Rclimit1, Rclimit2) for CLIMIT as close to the IC as possible<br />

13. Place the capacitor (Cdelay) for DELAY as close to the IC as possible.<br />

14. Place the capacitor (Css) for SS as close to the IC as possible.<br />

(6) There is a potential that placing the heat sink between ICs and power MOSFET might be a some kind of shield and<br />

this might reduce the radiation noise (figure 9).<br />

Website and Support<br />

<strong>Renesas</strong> <strong>Electronics</strong> Website<br />

http://www.renesas.com/<br />

Inquiries<br />

http://www.renesas.com/inquiry<br />

IC<br />

Heat Sink<br />

F<br />

E<br />

T<br />

R03AN0002EJ0100 Rev.1.00 Page 13 of 13<br />

Jan 25, 2011<br />

Heat Sink<br />

Figure 9 The Example of Parts Allocation<br />

All trademarks and registered trademarks are the property of their respective owners.<br />

F<br />

E<br />

T<br />

IC


Revision Record<br />

Description<br />

Rev. Date Page Summary<br />

1.00 Jan 25, 2011 — First edition issued<br />

A-1


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Colophon 1.0

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