## Cem Cem Cem Cem

Only 3 external components 2.56 > 90 efficiencies over wide iout range (1mA to 225mA) 2.96 > 90 efficiencies over wide l0ut range, drives external 1.60 P-channel FET Same as MAX649 651 but 96.5 duty cycle and only 100mV 1.60 current sense limit High power, few external components 4.52 6.83 High power, few external components 3.00 High power, few external components 3.00 High power, few external components 3.00 High power, few external components 3.00

## Symbols Units and Conversion Factors

Symbols Frequently Used in This Book Ab Winding area of a core bobbin (usually given in square inches) Ae Effective core area (usually given in square centimeters) Aj Inductance of core (usually given in millihenries per 1000 turns Br Remanence flux density of a core material (flux density at zero oer Bs Saturation flux density of a core material Dcma Current density in wire (usually expressed in circular mils per rms ampere) lm Effective path length of a magnetic core (usually quoted in...

## 0075

The remaining height in bobbin must accommodate primary-to-secondary insulation plus the filament wires (about one turn of no. 22 wire at 0.0281-in diameter). Obviously the E625 core is marginal of the other two, the ETD44 appears preferable. 16.6.7 Toroidal core transformer for current-fed topology The circumference of the inside diameter (ID) of a toroid (it X ID) is much greater than the bobbin width of an EE core of roughly equal Ae. Hence the toroid permits more turns per layer than the EE...

## 02

2.0 Figure 13.10 Gain curve for the zero-voltage-switching circuit of Fig. 13.(Courtesy Jovanovic, Tabisz, Lee) no current industry-wide consensus on the future or even the present value of resonant power supplies. It is of interest to consider the pros and cons on the subject. First, it is interesting to note that to the author's knowledge, resonant power supplies are not listed in any of the major manufacturers' catalogs. This may indicate that resonant supplies are presently not...

## 1000

Note Data are for bipolar magnetic circuits (first- and third-quadrant operation). For unipolar circuits (forward converter, flyback), divide by 2. Association (MMPA)5'6 and IEC publications from the American National Standards Institute.7 The various core geometries shown in Fig. 7.2 are pot or cup cores, RM cores, EE cores, PQ cores, UU or UI cores. The pot core is shown in Fig. 7.2e. It is used mostly at low power levels up to 125 W and usually in DC DC converters. Its major advantage is...

## 102 Linear and Buck Regulator Postregulators

A linear regulating postregulator is the best approach for output currents up to 1.5 A. The 1.5-A limit comes about because of low cost and low internal dissipation. Linear regulators with up to 1.5 A of output current are available as integrated circuits in plastic T0220 packages at a cost of about 500. They require no additional external components other than a small filter capacitor. They are usually specified as requiring 2 V (typically, 3 V for the worst case) minimum input-output...

## 1034 Slave output voltage shutdown with magnetic amplifiers

Heretofore, the magnetic amplifier was presented only as a means of voltage regulating the slave output voltage. That was done by controlling the flux level to which the core is reset at the end of the power transistor on time. The further down Bx was pushed, the longer the blocking time tb, the shorter the firing time tf, and hence the lower the DC output voltage. The magnetic amplifier can also be used to shut down the DC output voltage completely. This is done by pushing the initial flux...

## 1036 Core loss and temperature rise calculations

Toshiba provides curves useful in calculating core temperature rise for each of its cores. Figures 10.9, 10.10, and 10.11 show core loss versus toted flux change in maxwells for its three largest MB cores. Recall that flux change in maxwells equals flux density change in gauss multiplied by core area in square centimeters. Thus, dividing the maxwells shown in the curves by the core area gives the flux density change in gauss. The maximum maxwells shown on the curves then correspond to the total...

## 1037 Design examplemagneticamplifier postregulator

Design a magnetic-amplifier postregulator for the output of the forward converter shown in Fig. 10.13a. Specifications are Forward converter switching frequency 100 kHz Slave output voltage 15 V The main output voltage is Vom Vdc(Nsm Np)(tOQ T). The main feedback loop, in keeping Vom constant, then must keep the product Vdcton constant. Thus ton is a maximum when Vdc is a minimum. In the usual case, the number of turns on the T1 reset winding Nr is set equal to the turns on the power winding...

## 111 Introduction

In topologies which have a transformer in series with their power transistor (all except the buck regulator), switching losses due to the overlap of falling current and rising voltage across the power transistor during the turnoff interval account for most of the losses. The integral JI(t)V(t)dt over the turnoff interval, which may last anywhere from 0.2 to 2 xs (for bipolar transistors), generally has a very high peak value. Even averaged by the turnoff duty cycle, it can be two to four times...

## 1151 rcd snubber returned to positive supply rail

The RCD snubber is often (and preferably) returned to the positive supply rail as shown in Fig. 11.3. It works exactly in the same way as when it is returned to ground as in Fig. 11.1. At turnoff, D1 latches in and CI slows up collector voltage rise time with its charging current flowing into Vdc. At the following turnon, CI is discharged through Ql and the supply source Vdc. The advantage of returning i l, D1 to Vdc instead of to ground is Figure 11.3 When snubber is returned to positive rail,...

## 117 Snubber Reduction of Leakage Inductance Spike to Avoid Second Breakdown

The snubber offers a second very important advantage in addition to slowing up voltage rise time and thus decreasing average transistor dissipation. It prevents second breakdown, which occurs if the instantaneous voltage and current cross the reverse-bias safe operating area (RBSOA) boundary given in the manufacturer's data sheets (Fig. 11.5). This boundary can be crossed by the omnipresent leakage inductance spike (Fig. 2.10) which occurs at the instant of turnoff. Transistor manufacturers...

## 121 Introduction

Before going into the details of stabilizing a feedback loop, it is of interest to consider in a semiquantitative way, why a feedback loop may oscillate. Consider the negative-feedback loop for a typical forward converter in Fig. 12.1. The essential error-amplifier and PWM functions are contained in all pulse-width-modulating chip. The chip also provide many other functions, but for understanding the stability problem, only the error amplifier and pulse-width modulator need be considered. For...

## 1210 Type 3 Error Amplifier When Used and Transfer Function

In Sec. 2.3.11.2, it was pointed out that the output ripple Vor Ra dl where Ra is the ESR of the filter output capacitor Ca and dl is twice the minimum DC current. Now most aluminum electrolytic capacitors do have an ESR. Study of many capacitor manufacturers' catalogs indicates that for such capacitors, R0C0 is constant and equal to an average value of 65 x 10 6. Thus, using conventional aluminum electrolytic capacitors, the only way to reduce output ripple is to decrease Ra, which can be done...

## 1211 Phase Lag through a Type 3 Error Amplifier as Function of Zero and Pole Locations

In Sec. 12.7, it was pointed out that the phase boost at a frequency Fco due to a zero at a frequency Fz is 0zb taxx 1(FcJFz) tan-1 K (Eq. 12.4). If there are two zeros at the frequency Fz, the boosts are additive. Thus boost at Fco due to two zeros at the same frequency Fz is e2zb 2 tan-1 K. Similarly, the lag at Fco due to a pole at Fp is 9Jp tan-1(lIK) (Eq. 12.5). The lags due to two poles at Fp are also additive. Thus lag at Fco due to two poles at Fp is 012p 2 tan_1(l ifj. The lag and...

## 1212 Type 3 Error Amplifier Schematic Transfer Function and Zero and Pole Locations

The schematic of a circuit which has the gain-versus-frequency characteristic of Fig. 12.146 is shown in Fig. 12.15. Its transfer function can be derived in the manner described in Sec. 12.6 for the Type 2 error amplifier. Impedances of the feedback and input arm are expressed in terms of the s operator, and the transfer function is simply G(s) Z2(s) Zl(s). Algebraic manipulation yields the following expression for the transfer function dV0 (1 + sR2Cl) l + s(Rl + R3)C3 G(S) dV sRl(Cl + C2)(l +...

## 1213 Design Example Stabilizing a Forward Converter Feedback Loop with a Type 3 Error Amplifier

Design the feedback loop for a forward converter having the following specifications Switching frequency 50 kHz Output ripple (peak to peak) < 20 mV Assume that the output capacitor is zero ESR. First the output LC filter and its Refer to Fig. 12.15. From Eq. 2.47 of the type advertised as having corner frequency are calculated. Now it was assumed that the output capacitor had zero ESR so that ripple due to ESR should be zero. But there is a small capacitive ripple component (Sec. 1.2.7)....

## 1215 Conditional Stability in Feedback Loops

A feedback loop may be stable under normal operating conditions when it is up and running, but can be shocked into continuous oscillation at turnon or by a line input transient. This odd situation, called conditional stability, can be understood from Fig. 12.17a and 12.176. Figure 12.17aand 12.176 contains plots of total open-loop phase shift and total open-loop gain versus frequency, respectively. Conditional stability may arise if there are two frequencies (points A and C) at which the total...

## 1216 Stabilizing a Discontinuous Mode Flyback Converter

12.16.1 DC gain from error-amplifier output to output voltage node The essential elements of the loop are shown in Fig. 12.18a. The first step in designing the feedback loop is to calculate its DC or low-frequency gain from the error-amplifier output to the output voltage node. Assume an efficiency of 80 percent. Then from Eq. 4.2a

## 1217 Error Amplifier Transfer Function for Discontinuous Mode Flyback

In Fig. 12.19, for Ro(min), on curve EFGH, Fm will be established at one-fifth the switching frequency (point PI) as stated in Sec. 12.3. Most often, Fc0 will occur on the horizontal slope of the output circuit transfer function. To force Fco to be at the desired point, the error amplifier will be designed to have a gain at Fco (point PI) equal and opposite to the output circuit loss at point PI. Since the slope of EFGH at Fco is horizon tal, the error-amplifier gain slope must be -1 (in the...

## 124 Error Amplifier Transfer Function Poles and Zeros

The circuit of an operational amplifier with a complex impedance Zx input arm and a complex impedance Z2 feedback arm is shown in Fig. 12.9. Its gain is Z2jZ1. If Zx is a pure resistor i l and Z2 is a pure re- Figure 12.8 Where to locate break frequencies Fz and Fp. The farther apart Fz and Fp are spread, the greater the phase margin. But spreading them further apart reduces low-frequency gain, which reduces the degeneration of low-frequency line ripple. It also increases high gain, which...

## 125 Rules for Gain Slope Changes Due to Zero and Pole Frequencies

The zero and pole frequencies represent points where the error-amplifier gain slope changes. A zero represents a +1 change in gain slope. Thus (Fig. 12.10a), if a zero appears at a point in frequency where the gain slope is zero, it turns the gain into a +1 slope. If it appears where the original gain slope is -1 (Fig. 12.106), it turns the gain slope to zero. Or if there are two zeros at the same frequency (two factors in the numerator of Eq. 12.3 having the same RC product) where the original...

## 133 Resonant Converter Operating Modes

13.3.1 Discontinuous and continuous above resonance and below resonance operating modes Operating modes can be discontinuous as in Fig. 13.1. In the discontinuous mode (DCM), as noted, output voltage regulation is accomplished by varying the switching frequency. Power is delivered to the load as sequence of discrete current or power pulses separated by times long compared to their duration. If the output voltage must be raised because Vdc has gone down or DC load current has been increased, the...

## 142 Forward Converter Waveshapes

The circuit schematic for these waveshapes is shown in Fig. 14.1. It is a 125-kHz forward converter designed for 100 W, and waveshapes are shown at 80 and 40 percent of full load. Full-load outputs are 5 V at 10 A and 13 V at 3.8 A. Waveshapes are shown for nominal input volt- C, 160 HF, 100 V C2 3200 HF, 16 V C3 1500 (IF, 25 V C4. Cs 1.0 HF. 50 V D2, D3 MBR 1045 D4, 06 MBR 415 D,. 1N 4937 Q,. RFP 12N18 Vde 38-60 V C, 1.0 (iF Tl core-782E272-3F3 (Ferroxcube) Np-13 Turns, 2 18 in parallel N5-5...

## 16

2.3.9.1 First-quadrant operation only. The transformer core in the forward converter operates in the first quadrant of the hysteresis loop only. This can be seen in Fig. 2.10. When Q1 is on, the dot end of T1 is positive with respect to the no-dot end and the core is driven, say, in a positive direction on the hysteresis loop and the magnetizing current ramps up linearly in the magnetizing inductance. When Q1 turns off, stored current in the magnetizing inductance reverses the polarity of...

## 2 4 6 810

Figure 16.2 Fluorescent lamp light output in lumens per watt. For T12(1.5-in lamp diameter) and T17(1.88-in lamp diameter) versus frequency. (From High-Frequency Fluorescent Lamps, Campbell, Schultz, Kershaw, Illumination Engineering, Feb. 1953.) smaller and lighter, had no audible noise, and was less expensive. And at this high frequency, the lamp showed no flicker and conducted and radiated EMI was easier to suppress. These advantages of high-frequency operation, though significant, could not...

## 200 X 1q6

Sprague 673D, 674D aluminum electrolytics Now assume a regulator boosting from +5 to +15 V with 25-W (1.66-A) output. Assume a Mallory VPR 200 mF capacitor rated at 25 V. Then from the above relation Then from the above relation, the peak-to-peak ripple is V r 4 dco (ESR) 4 X 1.66 X 0.145 0.963 V. Modern tantalum capacitors may have lower ESR and yield lower ripple. Ripple may be reduced by increasing capacitance, using capacitors with higher voltage ratings or paralleling capacitors. All these...

## 24

MPP cores OD 1.84 in, ID 0.95 in, height 0.71 in, lm 10.74 in. All inductances in microhenries. Note Magnetics Inc. MPP cores OD 1.84 in, ID 0.95 in, height 0.71 in, lm 10.74 in. All inductances in microhenries. the on time, that primary peak current, multiplied by the turns ratio Np Ns is driven into the secondary where it decays linearly as shown in Fig. 4.1c. In most cases, output voltages are low and input voltages are higher, resulting in a large Np Ns ratio and a...

## 3 40

Figure 12.2 (a) An RC integrator has a gain dVa dVin of -20 dB decade beyond Fp VvnRlCl. If the scales are such that 20 dB is the same linear distance as 1 decade in frequency, a gain slope of - 20 dB decade has a -1 slope. Such a circuit is referred to as a -1 slope circuit. (6) An RC differentiator has a gain of +20 dB decade. At Fz H2-R2C2, where XC2 R2, gain asymptotically approaches 0 dB. If scales are such that 20 dB is the same linear distance as 1 decade in frequency, a gain slope of +...

## 350

250 300 350 400 450 500 550 600 650 700 750 Wavelength (nanometers) Figure 16.4 Spectral energy distribution from a 40-Wo white fluorescent lamp. In microwatts per nanometer (1 nm 10 A). The smooth curve is the continuous spectrum of energy generated by the white phosphorous. The discrete bands, 10 nm wide, represent energy generated by the mercury atoms in transition from a high to a low energy level. (Courtesy General Electric Bulletin Fluorescent Lamps.) 250 300 350 400 450 500 550 600 650...

## 38 V 49 V

Lp (calculated in Sec. 4.3.2.7) 56.6 p,H Recall from Sec. 4.3.2.7 that Ca was calculated as 2000 i,F. But it was pointed out there that at the instant of turnoff, the peak secondary current of 66 A would cause a thin spike of 66 x 0.03 2 V across the anticipated ESR of 0.03 V for a 2000- xF capacitor. It was noted that either this thin spike could be integrated away with a small LC circuit or CD could be increased to lower its ESR. Here, both will be done. Capacitance Ca will be increased to...

## 4

Figure 5.7 Slope compensation in the UC1846 current-mode control chip. A positive ramp voltage is taken off the top of the timing capacitor, scaled by resistors i x, R2 and added to the voltage at the top of the current resistor R,. By choosing Rlt R2 to make the slope of the voltage added to V, equal to half the downslope of the output inductor current, reflected into the primary and multiplied by R the output inductor average current is rendered independent of power transistor on times....

## 46

Figure 16.11 (a) American National Standards Institute (ANSI) specifications for various fluorescent lamps (6) volt ampere characteristics at different operating currents for various hot cold cathode lamps. Figure 16.12 Block diagram of a modern fluorescent lamp light source. Output frequency of the DC AC inverter is set by a series or parallel self-resonant oscillator in the range of 20 to 50 kHz. The ballast is usually a capacitor or the controlled source impedance of a series LC resonant...

## 747

Figure 14.20 Significant waveforms in 50-kHz flyback supply of Fig. 14.18. Figure 14.20 Significant waveforms in 50-kHz flyback supply of Fig. 14.18. Voltage and current into 15 V rectifier (03, Fig. 14.18) Voltage and current into 5 V rectifier (D2, Fig. 14.18) Voltage and current into 15 V rectifier (03, Fig. 14.18) V15 current 0.39 A, voltage 19.39 V V5 current 2.08 A, voltage 5.00 V Voltage and current into 5 V rectifier (D2, Fig. 14.18) V,5 current 0.39 A, voltage 19.39 V V5 current 2.08...

## 756 Proximity effect

Proximity effect11-15 is caused by alternating magnetic fields arising from currents in adjacent wires or, more seriously, from currents in adjacent winding layers in a multilayer coil. It is more serious than skin effect because the latter increases copper losses only by restricting the conducting area of the wire to a thin skin on its surface. But it does not change the magnitude of the currents flowing only the current density at the wire surfaces. In contrast, in proximity effect, eddy...

## 780

Figure 14.13 Transformer center tap current and drain-to-source voltage (Q2i at minimum (photo PP13), nominal (photo PP14), and maximum (photo PP15) input voltage for one-fifth of maximum output currents. ing current or for a given maximum magnetizing current, from too low a total DC output current. The magnetizing current can become larger than originally specified if the two transformer halves inadvertently separate slightly, thus decreasing the magnetizing inductance and increasing the...

## 819

Figure 14.10 Significant waveforms in 200-kHz 85-W converter of Fig. 14.8. The assumption that the amplitude measured with a current probe in the drain as for photo PP6 is more valid than the measurement with the same probe in the transformer center tap (as photos PP1 to PP3) is verified by measuring voltage drop across a small current-monitoring resistor in series in the transistor source. Measurement with a current probe in series in the drain gives exactly the same absolute currents as does...

## 831 Baker clamp operation

In Fig. 8.6, a large current Ix of the desired pulse width is provided at the anode of D2. The current is large enough and has a sufficient overdrive to turn on the maximum current in Ql with the desired speed when Ql is a minimum beta transistor. As Ql commences turning on, D3 is reverse-biased, draws no current, and is effectively out of the circuit. All the 71 flows through D2 into the base, yielding very fast rise time. However, when the collector voltage has fallen low enough to...

## 832 Transformer coupling into a Baker clamp

8.3.2.1 Transformer supply voltage, turns ratio selection, and primary and secondary current limiting. The circuit of Fig. 8.7 provides all the required drive characteristics for the Baker clamp high forward and reverse base drive for Q2 at relatively low primary current drawn from the housekeeping supply Vh. It also provides the reverse Q2 base voltage which permits it to tolerate its Vcov rating. It works as follows. First, the T1 turns ratio Np Ns is chosen as large as conveniently possible...

## 861

Figure 14.2 The 125-kHz 100-W forward converter of Fig. 14.1 at 80 percent full load. Drain-to-source voltages also appear as they should be theoretically. Transistor on time at low line (Vdc 38 V) is seen to be very close to 80 percent of a half period as discussed in Sec. 2.3.2. It is not always exactly that because of the inevitable rounding up or rounding down of fractional secondary turns to the nearest integral number. In this transformer, the calculated 4.5 turns on the secondary were...

## 91

Figure 14.3 The 125-kHz 100-W forward converter of Fig. 14.1 at 40 percent full load. they come at a high repetition rate, their average dissipation can be high and can exceed the conduction dissipation of VdsIdston T. The overlap dissipation at turnon is not as serious as at turnoff. At turnon, the power transformer leakage inductance presents an infinite impedance for a short time and causes a very fast drain-to-source voltage fall time. The same leakage inductance does not permit a very fast...

## 92

Its length and resistance in ohms per foot as read from the wire tables for the selected wire size. It was also assumed that 7rms is the rms current as calculated from its waveshape (Sees. 2.2.10.2, 2.3.10.4). There are two effects, skin and proximity effects, which can cause the winding losses to be significantly greater than (Irms)2Rdc Both skin and proximity effects arise from eddy currents which are induced by varying magnetic fields in the coil. Skin effect is caused by eddy currents...

## 923 Mosfet gate rise and fall times for desired drain current rise and fall times

Very rapid drain current rise and fall times are undesirable as they cause large L di dt spikes on ground buses, supply rails, and large C dV dt capacitatively coupled spikes into adjacent wires or nodes. The question thus arises as to what gate voltage rise time is required to yield a desired drain current rise time. This can be seen from the transfer characteristics shown in Fig. 9.36 and 9.3d. In a MOSFET, switching time between zero and a drain current Id is only the times required for the...

## Ea

L(Q1) for various DC load currents at a fixed input voltage Figure 15.5 A continuous conduction mode boost converter fed from a fixed DC input voltage. The circuit regulates against DC input voltage changes by varying Q1 on time. It regulates against load current changes by maintaining a fixed on time, while building up the average current delivered by Q1 over a number of cycles (Fig. 15.5f). nificantly larger. Then the Ql current (Fig. 15.5c) has the shape of a large step of current with a...

## Flyback Converter Topologies

All topologies discussed thus far, with the exception of the boost regulator (Sec. 1.4) and the polarity inverter (Sec. 1.5) deliver power to their loads during the time when the power transistor is turned on. Flyback topologies described in this chapter operate in a fundamentally different way. During their power transistor on time, they store energy in their power transformer while load current is supplied from an output filter capacitor. When the power transistor turns off, the energy stored...

## Info

Adjustable output voltages up to 6.2V can be obtained with the adjustable versions If LT1173. LT1111, LT1107. LT1108, or LT1110. inductor capacitor and resistor values Figure 5 inductor capacitor and resistor values Figure 5 LBout Vou, IpGM SW LTC1174 LTV1574 Gnd LBout Vou, IpGM SW LTC1174 LTV1574 Gnd Figure 17.14 (6) Linear Technology micropower buck regulators. Positive-to-Negative Voltage Conversion Positive-to-Negative Voltage Conversion

## Uc1846 Push Pull Converter

Figure 5.3 Current-mode controller (UC1846). Driving a push-pull MOSFET converter. Transistors are turned on alternatively at every clock pulse. They are turned off when the peak voltage across the common current-sensing resistor equals the output voltage of the voltage-sensing error amplifier. PWM forces all Ql, Q2 current pulses to have equal amplitude. the high time at either of the chip outputs A or B and hence the duration of the power transistor on times. Now when the PWM voltage...

## Ix

Figure 5.13 In the buck-current-fed bridge, only two turnoff snubbers < Iil, CI, Dl and J 2, C2, D2) are required. An upper voltage clamp (Zl, Dc) is required to limit V2 when the last of the off-turning transistors turns off. Figure 5.13 In the buck-current-fed bridge, only two turnoff snubbers < Iil, CI, Dl and J 2, C2, D2) are required. An upper voltage clamp (Zl, Dc) is required to limit V2 when the last of the off-turning transistors turns off. transistors with slow turnoff time have...

## J

Figure 16.13 Usual topologies for DC AC inverters in AC power sources for fluorescent lamps Half bridges are used for 220-V AC input, push-pulls for 120-V AC input. (Courtesy Ferroxcube Philips, Inc. ) But reliable designs are harder to achieve with voltage-fed types because they suffer from large start-up voltage and current transients whose magnitude depends on the resonant circuit Q. Start-up current transients in voltage-fed circuits may be 5 to 10 times the operating currents.7 Further,...

## Low InputVoltage Regulators for Laptop Computers and Portable Electronics

The explosion in the use of laptop computers and portable electronics in recent years has led to the formation of a new sector of the power conversion industry. This sector consists of low-input-voltage, battery-fed boost, buck, and polarity-inverting configurations (Sees. 1.3 to 1.5). They are almost entirely contained in one integrated-circuit (IC) package, and most require externally only a single inductor, capacitor, and diode plus about three to five small resistors. Since they operate at...

## Mp

. 4.19 A. . 2.31 A. . 0.95 A. . 0.49 A. . 0.20 A. Note step at start of ramp Note smaller step at start of ramp Note no step L0 has run dry Note much lower on time Note still lower on time (2) 1(01) 2 A, 10 p-S cm ldc- 4.4 A (3) l(Q1) -- 2 A, 10 (xs cm ldc - 2.30 A (4) l(Q1)-2 A, 10 (iS cm ldc- 0.95 A Figure 1.6 A 25-kHz buck regulator, showing the effect of the output inductor La running dry or moving from the continuous mode to the discontinuous mode. In panel (a), note that on time remains...

## Magnetics and Circuits Designs

Transformer and Magnetics Design 267 7.2 Transformer Core Materials and Geometries and Peak Flux 7.2.1 Ferrite core losses versus frequency and flux density for widely used core materials 268 7.2.2 Ferrite core geometries 271 7.2.3 Peak flux density selection 275 7.3 Maximum Transformer Core Output Power, Peal Flux Density, Core and Bobbin Areas, and Coil Current Density 277 7.3.1 Derivation of output power relations for forward 7.3.2 Derivation of output power relations for...

## Power Factor Power Factor Correction

15.1 Power Factor What Is It and Why Must It Be Corrected The term power factor is borrowed from elementary AC circuit theory. When a sinusoidal AC power source feeds either an inductive or a capacitive load, the load current is also sinusoidal but lags or leads the input voltage by some angle x. For an rms input voltage V and rms input current , the apparent power taken from the line is VIr But the actual power delivered to the load is only ViIi cos x. It is only the component of input current...

## R1

Figure 2.11 Critical secondary currents in forward converter. Each secondary has the characteristic ramp-on-a-step waveshape because of the fixed voltage across the output inductor and its constant inductance. Inductor current is the sum of the secondary plus the free-wheeling diode current. It ramps up and down about the DC output current. Primary current is the sum of all the ramp-on-a-step secondary currents reflected by their turns ratios into the primary. Primary current is then also at...

## Resonant Converters

As newer integrated circuits lead to more electronic functions in smaller packages, it becomes essential for power supplies also to become smaller. The power supplies mainly get smaller by increasing their operating frequency to decrease the size of the power transformer and output LC or capacitive filter. The supplies also get smaller by increasing their efficiency so as to require smaller heat sinks. Thus the major objective in present-day power supply technology is to operate at switching...

## Ri

Figure 6.11 SCR resonant full bridge. This can deliver twice the output power of the half bridge. half those of the half bridge for equal output power. Hence only the half bridge will be discussed here in detail. The half bridge can be operated series-loaded as in Fig. 6.10 with the secondary load reflected via transformer T1 in series with a series resonant (C3 resonating with the series combination of L3 and LI when Ql is on or with the series combination of L3 and L2 when Q2 is on). In the...

## S16

** Half-bridge driver requires external control circuit Battery-Powered DC DC Conversion Solutions Selection Guide The following tables are a short form component selection guide for a collection of commonly used battery-powered DC DC conversion applications. No design is required since inductor, capacitor and resistor values are completely specified. Choose the appropriate LTC DC DC converter for your application from the following tables. The LT1073, LT1107, LT1108, LT1110, LT1111, LT1173,...

## S9b

Vin 120V, Vo 3.56 V fs S56klh, lo 4.2A 1st waveform Vgs(20VjDiv) 2nd waveform Vcr(20VjDiv) 3rd waveform Ip (1A Div) 4ih waveform Vds(100V Divj Figure 13.2 Measured waveforms on an actual circuit as Fig. 13.1. (Courtesy F. Lee and K. Liu) started rising shortly after the negative diode current (D2) has come back up again to zero as discussed above. It is also seen that the voltage across the secondary capacitor in waveform 2 (which is a replica of the voltage across the primary magnetizing...

## T

Figure 9.16 Symmetrical circuit layout for equal dynamic current sharing in parallel MOSFETs. To ensure equal dynamic current sharing in parallel MOSFETs, circuit layout should be symmetrical. Thus AB AC, GI HI, DF EF. the source terminals directly at the MOSFETs to a common tie point should be equal, and that common tie point should be brought directly as possible to a common tie point on the ground bus. That ground bus tie point should be common (with as short a lead as possible) with the...

## Turnon Time

Figure 8.3 (a) Typical turnoff transition falling current and rising collector-to-emitter voltage for a power transistor no snubber at collector. (6) Typical switching times for a typical high-current high-voltage transistor 2N6836, 15 A, 850 V (Vcev). (Courtesy Motorola Inc.) Figure 8.3 (a) Typical turnoff transition falling current and rising collector-to-emitter voltage for a power transistor no snubber at collector. (6) Typical switching times for a typical high-current high-voltage...

## Ilt

Figure 6.16 Basic Cuk converter with input and output not isolated significant voltage and currents. with the left-hand end of L2 at ground and its right-hand end at -V , the stored energy or current in L2 flows down through Dl, up through Rot and back into the right-hand end of L2. When Ql is on, current in LI ramps up at a rate dl dt Vic L1 (Fig. 6.16e). Since V2 has gone down by the same amount as VI (Vp), the left-hand end of L2 is at - Vp and current in L2 ramps up at a rate dlldt (Va -...

## T T T V T

V dc-'o 1 cr 1o y dc vf on) O O r7i and for Tcr Tvi Ts, P(Ton) VdcIQ(TJT). At turnoff as seen in Fig. 1.56, it is assumed that current hangs on at its maximum value Ia until the voltage has risen to its maximum value of Vdc in a time Tvr. Then current starts falling and reaches zero in a time Tcf. Total turnoff dissipation is then and for Tvr Tc T , P(Tott) VdcI0 TJT). Total AC losses (the sum of turnon plus turnoff losses) are then Total losses (the sum of DC plus AC losses) are P, Pdc + Pac...

## Vd vdcmin

To avoid problems arising from T1 leakage inductance spikes, N2 is usually selected twice this minimum value.14 Thus 5.6.7.11 Output input voltage-on-time relation for overlapping-mode design at high DC input voltages where operation has been forced nonover-lapping. Now with selected from Eq. 5.15 and N2 from 5.16b, when Vdc is less than its nominal value, the relation between output voltage and on time is given by Eq. 5.14a. At nominal input Vdcn, D Ton T is 0.5 and at DC input voltages...

## Vdo VtJTton xs

Thus, effectively, this current is being delivered at 100 percent duty cycle at a voltage of N(V0 + Vd) or at 102 V. Assuming an efficiency of 80 percent outward from the T1 center tap, input power at the center tap is 2000 0.8 or 2500 W. Average current into the center tap is then 2500 102 24.5 A. This is very closely the current at the center of the current ramp in Fig. 5.20g and 5.20h. Current in each T1 half primary is thus very closely approximated by an equivalent...

## X

Figure 1.3 (a) Linear regulator with an NPN series pass transistor. If base drive is taken from Vdc via a resistor Rb, a minimum voltage or headroom must exist across Rb to supply inward-directed base current at the bottom of the input ripple triangle, (b) Linear regulator with a PNP series pass transistor. With a PNP series pass transistor, the required base current does not come from Vdc but flows outward from the base to the current amplifier Vdc is no longer restricted to a minimum of 2.5 V...

## 1

Figure 12.5 (a) Gain versus frequency for a critically damped LC filter in which the output capacitor has zero ESR. (6) Gain versus frequency for a critically damped LC filter in which the output capacitor has an equivalent series resistor (i esr). When C0 has an ESR, the gain slope still breaks from horizontal to a -2 slope at Fcm But at a frequency Fcar 1 2-ir (JiesrC0), it breaks into a -1 slope. This is because at Fesn Xco Resr, the impedance of Ca becomes increasingly small compared to...

## Ydcyea 04r0t

Or Vo (12.18) and the DC or low-frequency gain from the error-amplifier output to the output node is 12.16.2 Discontinuous-mode flyback transfer function or AC voltage gain from error-amplifier output to output voltage node Now assume a small sinusoidal signal of frequency fn inserted in series at the error-amplifier output point. This will cause a sinusoidal modulation in amplitude of the triangular current pulses (of peak amplitude Ip) in the T1 primary. Consequently, there is a sinusoidal...

## Z

Equation 16.12 and Fig. 16.2162 show that the transformer secondary iVsjlrives a series LC circuit which resonates at a frequency of 1 (2ttVlTcT) and has an equivalent series resistance RL Q2. And for Q> 1, that series resistance is very small. Now in a series resonant circuit at resonance, with input voltage Vin, current is Vin (RL Q2). Now at turn-on, before the lamp lights, its resistance RL is high, Q ( o)i LCl) is high, and the equivalent series resistance ( RL Q2) is very low. This...

## V1

Figure 5.15 (a) Turn on snubber L2, D,., Rc eliminates turnon dissipation in Q5, but at the price of an equal amount of dissipation in Rc. When Q5 commences turning on, the presence of L2 drives the Q5 emitter up to within 1 V of its collector. As Q5 current rises toward I,, the current in L2 which has been stored in it by LI during the Q5 off time decreases to zero. Thus the voltage across Q5 during its turnon time is about 1 V rather VI V. During the next Q5 off time, L2 must be charged to a...

## 2500

Figure 6.5 Anode-to-cathode voltage fall time. Marconi ASCR type ACR25U characteristics. flow at an anode voltage in the vicinity of 25 V and dissipation would be high. Figure 6.5 also shows that if anode current pulses are half sinusoid, their base width should be longer than 2.5 xs to avoid an on anode potential greater than 5 V throughout the entire half sinusoid. Figures. 6.6 and 6.7 show maximum dV dt and tq for the Marconi ACR25U. 6.3 SCR Turnoff by Resonant Sinusoidal Anode Currents...

## WQ 1 Vlcp

From Figs. 13.6 and 13.7, some of the problems with resonant converters can be seen. 13.4.3 Regulation with series-loaded half bridge in continuous-conduction mode (CCM) For a number of reasons, Steigerwald states that operating above the resonant peak (ARM) is preferable to below resonance. Figure 13.6 shows how the continuous conduction mode SRC half bridge regulates. If initial operation were at A at Q 2 at normalized frequency 1.3, the output input voltage ratio would be 0.6. Now if the...

## Current Mode and Current Fed Topologies

Current-mode1-7 and current-fed9-20 topologies are grouped into one family despite their very significant differences. They are grouped together because they gain advantages by controlling both input current (although in different ways) and output voltage. Current mode (Fig. 5.3) has two feedback loops an outer one which senses DC output voltage and delivers a DC control voltage to an inner loop which senses peak power transistor currents and keeps them constant on a pulse-by-pulse basis. The...

## 132 Resonant Forward Converter

First the simplest resonant circuit, the resonant forward converter will be discussed primarily to see how it is arranged for transistor turnoff to occur at zero current and to see how critical the exact turnoff time may be. Figure 13.1 shows a simple resonant forward converter3 operating in the discontinuous mode. Discontinuous mode implies that current in the resonant LC circuit is not a continuous sine wave, but a sequence of a burst of one half or one full cycle of sine-wave current...

## Uc3854 Schematic Diagram

Figure 15.6 Regulation against load current changes in a continuous conduction mode boost converter. Figure 15.6 Regulation against load current changes in a continuous conduction mode boost converter. which is the previously mentioned Eq. 15.1. Now in Fig. 15.5a, output voltage regulation is achieved by chang ing Ton in accordance with Eq. 15.1 as Vin changes. This is done with the pulse width modulator (Fig. 15.5a). If Vin momentarily changes, so does Vo. A fraction of Vo ( Vea in) is sensed...

## Half and Full Bridge Converter Topologies

Half- and full-bridge topologies subject their transistors in the off state to a voltage stress equal to the DC input voltage and not to twice that as do the push-pull, single-ended, and interleaved forward converter topologies. Thus the bridge topologies are used mainly in offline converters where twice the rectified DC would be more than the usual switching transistors could safely tolerate. Bridge topologies hence are almost always used where the nominal AC input voltage is 220 V or higher...

## Is Lt1170 Substitute For Lt1070

* Package Options DIP Dual-ln-Line Package, SO Small Outline, SSOP Shrink Small-Outline Package, TO_ Can ** Temperature Ranges C 0 C to +70 C, E 40 C to +85 C, M -558C to +125 C t Prices provided are for design guidance and are POB USA. International prices will differ due to local duties, taxes, and exchange rates, tt Future product contact factory for pricing and availability. Specifications are preliminary. manufacturers' devices. This discrepancy is due only to the author's earlier...

## 334

And since the maximum duty cycle of this peak SCR current is tj 2i (min> 0.25 (Fig. 6.13a and 6.13c), the SCR rms current is Jrms(scR) 64.7 x V 25 V2 22.9 A. This is easily within 40 peak rms capability of the Marconi ACR25U. Also, as assumed above, the antiparallel diode peak current is one-fourth of the SCR current or 64.7 4 16.2 A. With a 1.62 turns ratio, the peak rectifier diode currents will be 104.8 and 26.2 A corresponding to the peak SCR and antiparallel diode currents. With such...

## 72

Figure 17.6 Power switch on voltage, LT1170 boost regulator. It is the on dissipation (VonIonTon T) rather than the peak current rating which determines how much peak current may be drawn. Attempting to operate at the device peak current rating may result in requiring a heat sink very much greater than the device package itself. Figure 17.6 Power switch on voltage, LT1170 boost regulator. It is the on dissipation (VonIonTon T) rather than the peak current rating which determines how much peak...

## 1 2 4 6 1 2 4 6

Allied calls its product Metglas 2714A. Toshiba has two amorphous core materials MA and MB. Toshiba MB material is closely identical to Metglas 2714A in core losses, coercive force and squareness of its hysteresis loop. Toshiba MA material is midway between Vfe-mil Permalloy and MB material. Metglas 2714A material is also used by Magnetics Inc. for magnetic amplifier cores in its own line of standard-sized cores. Curves of core loss versus peak flux density at various frequencies

## DB lJL gauss118

Thus, as shown in Fig. 1.12, if a core is subjected to a positive flux change of dB B2 - Bl, when, say, the dot end of the winding had been positive, the core must be restored exactly to B1 by a reversed voltage polarity before original polarity voltage may be applied. If not, Figure 1.12 Setting and resetting a magnetic core. A core must not be allowed to walk up or down its hysteresis loop. If it is driven from, say, Bl to B2 by a given volt-second product, it must be subjected to an equal...

## 409 412

Turnon, Turnoff Switching Losses and Snubbers 413 11.2 Transistor Turnoff Losses without a Snubber 414 11.3 RCD Turnoff Snubber Operation 416 11.4 Selection of Capacitor Size in RCD Snubber 418 11.5 Design Example RCD Snubber 419 11.5.1 RCD snubber returned to positive supply rail 420 11.6 Nondissipative Snubbers 421 11.7 Snubber Reduciton of Leakage Inductance Spike to Avoid 11.8 Transformer-Aided Snubber 425 References 426 Chapter 12. Feedback-Loop Stabilization 427 12.2 Mechanism...

## E2

T Always connect E1 to the ground pin on minidip, 8-and 16-pin surface mount packages E1 and E2 internally tied to ground on T03 and T0220 packages. Power transistor on time Vc Error amp output threshold voltage Figure 17.2 a LT1170 100-kHz, 5-A boost regulator 6 LT1170 boost regulator waveforms. This is a classical current-mode boost regulator. Output transistor on time is initiated by the clock pulse. It is terminated when the ramp-on-a-step voltage waveform across sensing resistor Rs crosses...

## Bj

Figure 10.16 The BH loop operating locus of magnetic-amplifier cores Fig. 10.15 . As core MIA moves from B0 to BS, core M1B is pushed down from Ba to B0. Time to move from B0 to Bs is the on time of the power transistors. On time is determined by how far down from Bs the initial starting ping fl0 has been pushed. This is determined by the DC current in control winding iVc, which is proportional to the output voltage Fig. 10.15 . next half period the sequence reverses M1B is driven up from B0 to...

## 300

For flux excursions between positive and negative saturation, tl W cm3 at 25 kHz. For flux excursions between positive and negative saturation, tl W cm3 at 25 kHz. which had been cast aside 30 years ago. But the Royer, operated in the current-fed mode, with small collector-to-opposite-base flipover capacitors and with the new low-loss amorphous cores is very attractive in many applications. If line regulation is not required, it is extremely low in parts count Figs. 6.23, 6.24 . Its major...

## 922 Mosfet input impedance and required gate currents

The MOSFET's DC input impedance is extremely high. At Vgs of 10 V, the gate draws only nanoamperes of current. Thus once the gate has been driven up to, say, the 10 V on level, the current it draws is negligible. However, there is considerable capacity at the gate-to-source terminal. This requires relatively large currents to drive the gate up and down the 10 V required to switch drain current on and off with the required speed. The required gate drive currents are calculated as follows Fig....

## 862

Drain currents and drain-to-source voltage at 30 above maximum specified output power Drain currents and drain-to-source voltage at 30 above maximum specified output power Showing ringing during dead time when RC snubbers R4, C4 and C5 are removed from primary Figure 14.17 Ringing at drain during transistor dead time. Showing ringing during dead time when RC snubbers R4, C4 and C5 are removed from primary Figure 14.17 Ringing at drain during transistor dead time. sorbed and subsequently...

## 116 Nondissipative Snubbers18

The conventional RCD snubber most often ends up dissipating 10 W or more for off-line switching supplies operating at over 50 kHz. This is troublesome not only for the added dissipation but also because of the size and required location of the snubber resistor. General practice is to derate power resistors by a factor of 2 and thus 10 W of dissipation usually requires the use of a 20-W resistor. A 20-W resistor is quite large, and finding a location for it is often difficult. Also, in...

## Miscellaneous Topologies

6.1 SCR Resonant Topologies Introduction The silicon controlled rectifier SCR has been used in DC AC inverters and DC DC power supplies for over 25 years.1,2 It is available with higher voltage and current ratings at lower cost than bipolar single or Darlington types or MOSFET transistors. Because of the higher voltage-current ratings, it is used primarily for supplies of over 1000 W. It will be recalled that an SCR is a solid-state switch which is easily turned on by a narrow pulse at its...

## V

And selecting CQ from the average value of the R0C0 product, which is closely 65 x 106 or The preceding result that the output ripple is determined mainly by the ESR of the filter capacitor Ra has been demonstrated more generally in a paper by K. V. Kantak.1 There the author shows that if R0Ca is is larger than half the transistor on time and half the transistor off time which is the usual case the output ripple is determined by the ESR resistor itself as demonstrated above for a particular...

## Preface

Much has changed in the power conversion field since the author's previous book on switching power supply design Switching and Linear Power Supply, Power Converter Design, 1978 . The main goal of these changes has been to make the power supply smaller. As integrated circuits packed more features in a smaller volume, it became essential also to decrease the size of a system's power supply. Switching power supply packing density currently ranges from 2 to 6 load watts per cubic inch W in3 as...