EVALUATION KIT AVAILABLE 28V, PWM, Step-Up DC-DC Converter PART V IN 3V TO 28V

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19-1462; Rev ; 6/99 EVALUATION KIT AVAILABLE 28V, PWM, Step-Up DC-DC Converter General Description The CMOS, PWM, step-up DC-DC converter generates output voltages up to 28V and accepts inputs from +3V to +28V. An internal 2A,.3Ω switch eliminates the need for external power MOSFETs while supplying output currents up to 5mA or more. A PWM control scheme combined with Idle Mode operation at light loads minimizes noise and ripple while maximizing efficiency over a wide load range. No-load operating current is 5µA, which allows efficiency up to 93%. A fast 25kHz switching frequency allows the use of small surface-mount inductors and capacitors. A shutdown mode extends battery life when the device is not in use. Adaptive slope compensation allows the to accommodate a wide range of input and output voltages with a simple, single compensation capacitor. The is available in a thermally enhanced 16- pin QSOP package that is the same size as an industrystandard 8-pin SO but dissipates up to 1W. An evaluation kit (EVKIT) is available to help speed designs. Adjustable Output Voltage Up to +28V Up to 93% Efficiency Wide Input Voltage Range (+3V to +28V) Up to 5mA Output Current at +12V 5µA Quiescent Supply Current 3µA Shutdown Current 25kHz Switching Frequency Small 1W 16-Pin QSOP Package Features Ordering Information PART TEMP. RANGE P-PACKAGE EEE -4 C to +85 C 16 QSOP Applications Automotive-Powered DC-DC Converters Industrial +24V and +28V Systems LCD Displays Palmtop Computers Typical Operating Circuit Pin Configuration TOP VIEW 1 2 16 15 P V 3V TO 28V P V UP TO 28V 3 14 P 4 5 13 12 P FB COMP 6 11 FB 7 1 COMP 8 9 QSOP Idle Mode is a trademark of Maxim Integrated Products. Maxim Integrated Products 1 For free samples & the latest literature: http://www.maxim-ic.com, or phone 1-8-998-88. For small orders, phone 1-8-835-8769.

ABSOLUTE MAXIMUM RATGS to...-.3v to +3V to...-.3v to +3V to...-.3v to +6V, COMP, FB to...-.3v to ( +.3V) P to...±.3v Continuous Power Dissipation (T A = +7 C) (Note 1) 16-Pin QSOP (derate 15mW/ C above +7 C)...1W Operating Temperature Range...-4 C to +85 C Junction Temperature...+15 C Storage Temperature Range...-65 C to +15 C Lead Temperature (soldering, 1sec)...+3 C Note 1: With part mounted on.9 in. 2 of copper. Stresses beyond those listed under Absolute Maximum Ratings may cause permanent damage to the device. These are stress ratings only, and functional operation of the device at these or any other conditions beyond those indicated in the operational sections of the specifications is not implied. Exposure to absolute maximum rating conditions for extended periods may affect device reliability. ELECTRICAL CHARACTERISTICS (V = +6V, P =, C = 4.7µF, T A = C to +85 C, unless otherwise noted. Typical values are at T A = +25 C.) PARAMETER SYMBOL CONDITIONS M TYP MAX UNITS Input Voltage V 3 28 V Supply Current, No Load Supply Current, Full Load, Connected to I V = 3V to 28V, V FB = 1.6V, = 5 7 µa I V = 3V to 5.5V, V FB = 1.4V, = = 5 6.5 ma V Supply Current, Full Load I = 3.4V to 28V, V FB = 1.4V, =, 2.5 3.5 ma V < V Shutdown Supply Current I V = 28V, V FB = 1.6V, = 3 8 µa Output Voltage V V = 3.5V or 28V, no load 2.9 3.5 3.2 V Load Regulation V I LOAD = to 2mA, V FB = 1.6V 25 4 mv Undervoltage Lockout Rising edge, 1% hysteresis 2.58 2.7 2.8 V FB Set Voltage V FB 1.47 1.5 1.53 V FB Input Bias Current I FB V FB = 1.6V 1 5 na Line Regulation V V = 3V to 6V, V = 12V.1.8 %/V Load Regulation V V = 12V, I LOAD = 1mA to 5mA.2 % Voltage V 28 V Switch Current Limit I ON PWM mode 1.7 2.2 2.7 A Idle Mode Current-Limit Threshold.25.35.45 A On-Resistance R ON.3.6 Ω Leakage Current I OFF V = 28V.2 1 µa COMP Maximum Output Current I COMP FB = 1 2 µa COMP Current vs. FB Voltage Transconductance FB =.1V.8 1 mmho Input Logic Low V IL.8 V Input Logic High V IH 2. V Shutdown Input Current = or 1 µa Switching Frequency f 2 25 3 khz Maximum Duty Cycle DC 9 95 % 2

ELECTRICAL CHARACTERISTICS (V = +6V, P =, C = 4.7µF, T A = -4 C to +85 C, unless otherwise noted.) (Note 2) PARAMETER SYMBOL CONDITIONS M TYP MAX UNITS Input Voltage V 3 28 V Supply Current, No Load I V = 3V to 28V, V FB = 1.6V, = 8 µa Supply Current, Full Load, Connected to I V = 3V to 5.5, V FB = 1.4V, = = 7.5 ma Supply Current, Full Load I V = 3.4V to 28V, V FB = 1.4V, =, < V 4 ma Supply Current Shutdown I V = 28V, V FB = 1.6V, = 1 µa Output Voltage V V = 3.5V or 28V, no load 2.85 3.3 V Undervoltage Lockout V Rising edge, 1% hysteresis 2.55 2.85 V FB Set Voltage V FB 1.455 1.545 V Voltage Range V ON 28 V Switch Current Limit I ON PWM mode 1.4 3 A On-Resistance R ON.6 Ω Switching Frequency f 188 312 khz Note 2: Specifications to -4 C are guaranteed by design, not production tested. (Circuit of Figure 1, T A = +25 C.) Typical Operating Characteristics EFFICIENCY (%) 1 9 8 7 6 5 4 3 2 1 EFFICIENCY vs. PUT CURRENT (V = 12V) V = 3V V = 8V V = 5V.1 1 1 1 1 PUT CURRENT (ma) toc1 EFFICIENCY (%) 1 9 8 7 6 5 4 3 2 1 EFFICIENCY vs. PUT CURRENT (V = 28V) V = 12V V = 5V V = 3V.1 1 1 1 1 PUT CURRENT (ma) toc2 3

(Circuit of Figure 1, T A = +25 C.) SUPPLY CIRRENT (ma).65.6.55.5.45 NO-LOAD SUPPLY CURRENT vs. PUT VOLTAGE.4 5 1 15 2 25 3 PUT VOLTAGE (V) toc4 SUPPLY CURRENT (µa) 7 65 6 55 5 45 4 Typical Operating Characteristics (continued) SUPPLY CURRENT vs. TEMPERATURE V = 3V V = 5V V = 8V 35 CLUDES CAPACITOR LEAKAGE CURRENT 3-5 -3-1 1 3 5 7 9 11 TEMPERATURE ( C) toc5 SHUTDOWN CURRENT (µa) 4. 3.5 3. 2.5 2. 1.5 1..5 SHUTDOWN CURRENT vs. SUPPLY VOLTAGE 2 7 12 17 22 27 32 SUPPLY VOLTAGE (V) toc6 MEDIUM-LOAD SWITCHG WAVEFORMS toc7 HEAVY-LOAD SWITCHG WAVEFORMS toc8 LE-TRANSIENT RESPONSE toc9 I L (1A/div) I L (1A/div) V (5mV/div) V (1V/div) V (1V/div) V (1mV/div) V (2mV/div) I (1mA/div) 2µs/div V = 5V, V = 12V, I = 2mA LOAD-TRANSIENT RESPONSE V = 5V, V = 12V 5ms/div toc1 V (1mV/ div) 2µs/div V = 5V, V = 12V, I = 5mA (2V/div) V (2V/div) SHUTDOWN RESPONSE 5µs/div V = 5V, V = 12V, I LOAD = 5mA toc11 12V 5V V (5V/div) MAXIMUM PUT CURRENT (A) 1.6 1.4 1.2 1..8.6.4.2 2ms/div I = 2mA, V = 12V MAXIMUM PUT CURRENT vs. PUT VOLTAGE V = 12V 2 3 4 5 6 7 8 9 1 11 12 PUT VOLTAGE (V) toc12 6V 3V 4

P 1, 8, 9, 12, 16 2, 3, 4 5 NAME Ground FUNCTION Drain of internal N-channel switch. Connect the inductor between and. Pin Description Shutdown Input. A logic low puts the in shutdown mode and reduces supply current to 3µA. must not exceed. In shutdown, the output falls to V less one diode drop. 6 COMP Compensation Input. Bypass to with the capacitance value shown in Table 2. 7 FB Feedback Input. Connect a resistor-divider network to set V. FB threshold is 1.5V. 1 LDO Regulator Supply Input. accepts inputs up to +28V. Bypass to with a 1µF ceramic capacitor as close to pins 1 and 12 as possible. 11 Internal 3.1V LDO Regulator Output. Bypass to with a 4.7µF capacitor. 13, 14, 15 P Power Ground, source of internal N-channel switch 3V TO 28V V C D 1µF 4.7µF C COMP V L COMP L P FB ECB1Q53L C P C V UP TO 28V V R1 R2 C D L C C P C COMP 8V 42kΩ 93.1kΩ 15µF 12µH 15µF 22pF.82µF 12V 715kΩ 1kΩ 1µF 15µH 1µH 56pF.1µF 28V 574kΩ 32.4kΩ 86µF 39µH 33µF 47pF.47µF Figure 1. Single-Supply Operation R1 R2 Detailed Description The pulse-width modulation (PWM) DC-DC converter with an internal 28V switch operates in a wide range of DC-DC conversion applications including boost, SEPIC, and flyback configurations. The uses fixed-frequency PWM operation and Maxim s proprietary Idle Mode control to optimize efficiency over a wide range of loads. It also features a shutdown mode to minimize quiescent current when not in operation. PWM Control Scheme and Idle Mode Operation The combines continuous-conduction PWM operation at medium to high loads and Idle Mode operation at light loads to provide high efficiency over a wide range of load conditions. The control scheme actively monitors the output current and automatically switches between PWM and Idle Mode to optimize efficiency and load regulation. Figure 2 shows a functional diagram of the s control scheme. The normally operates in low-noise, continuous-conduction PWM mode, switching at 25kHz. In PWM mode, the internal MOSFET switch turns on with each clock pulse. It remains on until either the error comparator trips or the inductor current reaches the 2A switch-current limit. The error comparator compares the feedback-error signal, current-sense signal, and slopecompensation signal in one circuit block. When the switch turns off, energy transfers from the inductor to 5

IDLE MODE CURRENT LIMIT PWM CURRENT LIMIT CURRENT- SENSE CIRCUIT P ERROR COMPARATOR PWM LOGIC R NMOS 25kHz OSCILLATOR 14R FB SLOPE COMPENSATION REFERENCE TEGRATOR COMP SHUTDOWN THERMAL SHUTDOWN LEAR REGULATOR Figure 2. Functional Diagram the output capacitor. Output current is limited by the 2A MOSFET current limit and the s package power-dissipation limit. See the Maximum Output Current section for details. In Idle Mode, the improves light-load efficiency by reducing inductor current and skipping cycles to reduce the losses in the internal switch, diode, and inductor. In this mode, a switching cycle initiates only when the error comparator senses that the output voltage is about to drop out of regulation. When this occurs, the NMOS switch turns on and remains on until the inductor current exceeds the nominal 35mA Idle Mode current limit. Refer to Table 1 for an estimate of load currents at which the transitions between PWM and Idle Mode. Compensation Scheme Although the higher loop gain of voltage-controlled architectures tends to provide tighter load regulation, current-controlled architectures are generally easier to compensate over wide input and output voltage ranges. The uses both control schemes in parallel: the dominant, low-frequency components of the error signal are tightly regulated with a voltage-control loop, while a current-control loop improves stability at higher frequencies. Compensation is achieved through the selection of the output capacitor (C ), the integrator capacitor (C COMP ), and the pole capacitor (C P ) from FB to. C P cancels the zero formed by C and its ESR. Refer to the Capacitor Selection section for guidance on selecting these capacitors. Low-Dropout Regulator The contains a 3.1V low-dropout linear regulator to power internal circuitry. The regulator s input is and its output is. The to dropout voltage is 1mV, so that when is less than 3.2V, is typically 1mV below. The still operates when the LDO is in dropout, as long as remains above the 2.7V undervoltage lockout. Bypass with a 4.7µF ceramic capacitor placed as close to the and pins as possible. 6

Table 1. PWM/Idle-Mode Transition Load Current (I in Amps) vs. Input and Output Voltage V V 4 5 6 7 8 9 1 11 12 13 14 15 16 17 18 19 2 21 22 23 24 25 26 27 28 3.2.2.18.15.12.1.9.8.7.6.5.4.4.4.3.3.3.3.3.2.2.2.2.2.2 4.18.21.2.17.15.13.12.1.9.8.7.7.6.5.5.4.4.4.3.3.3.3.3.3 5.16.2.21.19.17.16.14.13.11.1.9.9.8.7.7.6.6.5.5.4.4.4.4 6.15.2.21.2.19.18.16.15.13.12.11.1.1.9.8.8.7.7.6.6.5.5 7.17.19.21.21.2.19.17.16.15.14.13.12.11.1.1.9.8.8.7.7.7 8.19.18.2.21.2.2.19.17.16.15.14.13.13.12.11.1.1.9.9.8 9.2.17.2.21.21.2.19.18.18.17.16.15.14.13.12.12.11.1.1 1.21.16.19.2.21.21.2.19.18.17.17.16.15.14.13.13.12.11 11.22.15.19.2.21.21.2.2.19.18.17.17.16.15.14.14.13 12.23.15.18.2.21.21.21.2.2.19.18.18.17.16.15.15 13.24.16.17.19.2.21.21.2.2.19.19.18.17.17.16 14.25.17.17.19.2.21.21.21.2.2.19.19.18.17 15.25.18.16.18.2.2.21.21.21.2.2.19.19 16.26.19.16.18.19.2.21.21.21.2.2.2 17.26.2.15.17.19.2.2.21.21.21.2 18.27.2.15.17.19.2.2.21.21.21 19.27.21.16.17.18.19.2.21.21 2.27.21.17.16.18.19.2.2 21.28.22.17.16.18.19.2 22.28.22.18.15.17.19 23.28.23.18.15.17 24.28.23.19.15 25.29.24.19 26.29.24 27.29 7

can be overdriven by an external supply between 2.7V and 5.5V. In systems with +3.3V or +5V logic power supplies available, improve efficiency by powering and V directly from the logic supply as shown in Figure 3. Operating Configurations The can be connected in one of three configurations described in Table 2 and shown in Figures 1, 3, and 4. The linear regulator allows operation from a single supply between +3V and +28V as shown in Figure 1. The circuit in Figure 3 allows a logic supply to power the while using a separate source for DC-DC conversion power (inductor voltage). The logic supply (between 2.7V and 5.5V) connects to and. = ; voltages of 3.3V or more improve efficiency by providing greater gate drive for the internal MOSFET. The circuit in Figure 4 allows separate supplies to power and the inductor voltage. It differs from the connection in Figure 3 in that the chip supply is not limited to 5.5V. Table 2. Input Configurations CIRCUIT Figure 1 CONNECTION Input voltage connects to and inductor. V RANGE 3V to V (up to 28V) DUCTOR VOLTAGE V BENEFITS/COMMENTS Single-supply operation. must be connected to or pulled up to. On/off control requires an open-drain or open-collector connection to. Figure 3 and connect together. Inductor voltage supplied by a separate source. 2.7V to 5.5V to V (up to 28V) Increased efficiency. can be driven by logic powered from the supply connected to and, or can be connected to or pulled up to. Input power source (inductor voltage) is separate from the s bias (V = ) and can be less than or greater than V. Figure 4 and inductor voltage supplied by separate sources. 3V to 28V to V (up to 28V) Input power source (inductor voltage) is separate from the s bias (V ) and can be less than or greater than V. must be connected to or pulled up to. On/off control requires an open-drain or open-collector connection to. V D UP TO 28V L V D UP TO 28V L C D C D 2.7V TO 5.5V 1µF 4.7µF P FB C UP TO 28V R1 3V TO 28V 4.7µF 1µF P FB C UP TO 28V R1 C COMP COMP C P R2 C COMP COMP C P R2 Figure 3. Dual-Supply Operation (V = 2.7V to 5.5V) Figure 4. Dual-Supply Operation (V = 3V to 28V) 8

OPEN-DRA LOGIC 1k SYSTEM LOGIC SUPPLY ON/OFF CONTROL SYSTEM LOGIC ON/OFF CONTROL Figure 5. Adding On/Off Control to Circuit of Figure 1 or 4 Figure 6. Adding On/Off Control to Circuit of Figure 3 Shutdown Mode In shutdown mode ( = ), the s feedback and control circuit, reference, and internal biasing circuitry turn off and reduce the supply current to 3µA (1µA max). When in shutdown, a current path remains from the input to the output through the external inductor and diode. Consequently, the output falls to V less one diode drop in shutdown. may not exceed. For always-on operation, connect to. To add on/off control to the circuit of Figure 1 or 4, pull to with a resistor (1kΩ to 1kΩ) and drive with an open-drain logic gate or switch as shown in Figure 5. Alternatively, the circuit of Figure 3 allows direct drive by any logic-level gate powered from the same supply that powers and, as shown in Figure 6. Design Procedure The operates in a number of DC-DC converter configurations including step-up, SEPIC, and flyback. The following design discussion is limited to step-up converters. Setting the Output Voltage Two external resistors (R1 and R2) set the output voltage. First, select a value for R2 between 1kΩ and 2kΩ. Calculate R1 with: where V FB is 1.5V. R R V 1= 2 1 V FB Determining the Inductor Value The s high switching frequency allows the use of a small value inductor. The recommended inductor value is proportional to the output voltage and is given by the following: V L = 71 5 After solving for the above equation, round down as necessary to select a standard inductor value. When selecting an inductor, choose one rated to 25kHz, with a saturation current exceeding the peak inductor current, and with a DC resistance under 2mΩ. Ferrite core or equivalent inductors are generally appropriate (see EV kit data sheet). Calculate the peak inductor current with the following equation: V I I 2 s V V V (PEAK) ( ) = + µ V L V Note that the peak inductor current is internally limited to 2A. Diode Selection The s high switching frequency demands a high-speed rectifier. Schottky diodes are preferred for most applications because of their fast recovery time and low forward voltage. Make sure that the diode s peak current rating exceeds the 2A peak switch current, and that its breakdown voltage exceeds the output voltage. 9

Maximum Output Current The s 2.2A current limit determines the output power that can be supplied for most applications. In some cases, particularly when the input voltage is low, output power is sometimes restricted by package dissipation limits. The is protected by a thermal shutdown circuit that turns off the switch when the die temperature exceeds +15 C. When the device cools by 1 C, the switch is enabled again. Table 3 details output current with a variety of input and output voltages. Each listing in Table 3 is either the limit set by an current limit or by package dissipation at +85 C ambient, whichever is lower. The values in Table 3 assume a 4mΩ inductor resistance. Capacitor Selection Input Capacitors The input bypass capacitor, C D, reduces the input ripple created by the boost configuration. High-impedance sources require high C D values. However, 68µF is generally adequate for input currents up to 2A. Low ESR capacitors are recommended because they will decrease the ripple created on the input and improve efficiency. Capacitors with ESR below.3ω are generally appropriate. In addition to the input bypass capacitor, bypass with a 1µF ceramic capacitor placed as close to the and pins as possible. Bypass with a 4.7µF ceramic capacitor placed as close to the and pins as possible. Output Capacitor Use Table 4 to find the minimum output capacitance necessary to ensure stable operation. In addition, choose an output capacitor with low ESR to reduce the output ripple. The dominant component of output ripple is the product of the peak-to-peak inductor ripple current and the ESR of the output capacitor. ESR below 5mΩ generates acceptable levels of output ripple for most applications. Integrator Capacitor The compensation capacitor (C COMP ) sets the dominant pole in the s transfer function. The proper compensation capacitance depends upon output capacitance. Table 5 shows the capacitance value needed for the output capacitances specified in Table 4. However, if a different output capacitor is used (e.g., a standard value), then recalculate the value of capacitance needed for the integrator capacitor with the following formula: C Table C C COMP( 5) COMP = C( Table 4) Pole Compensation Capacitor The pole capacitor (C P ) cancels the unwanted zero introduced by C s ESR, and thereby ensures stability in PWM operation. The exact value of the pole capacitor is not critical, but it should be near the value calculated by the following equation: where R ESR is C s ESR. R C (R2 R2) C ESR + P = R1 R2 Layout Considerations Proper PC board layout is essential due to high current levels and fast switching waveforms that radiate noise. Use the evaluation kit or equivalent PC layout to perform initial prototyping. Breadboards, wire-wrap, and proto-boards are not recommended when prototyping switching regulators. It is important to connect the pin, the input bypass capacitor ground lead, and the output filter capacitor ground lead to a single point to minimize ground noise and improve regulation. Also, minimize lead lengths to reduce stray capacitance, trace resistance, and radiated noise, with preference given to the feedback circuit, the ground circuit, and. Place the feedback resistors as close to the FB pin as possible. Place a 1µF input bypass capacitor as close as possible to and. Refer to the evaluation kit for an example of proper board layout. 1

Table 3. Typical Output Current vs. Input and Output Voltages V V 4 5 6 7 8 9 1 11 12 13 14 15 16 17 18 19 2 21 22 23 24 25 26 27 28 3.77.59.49.41.34.29.25.22.2.18.17.15.14.13.12.12.11.1.1.9.9.8.8.8.7 4.96.76.64.56.49.43.38.34.31.28.26.24.22.21.19.18.17.16.16.15.14.14.13.12 5 1.9.89.76.67.6.54.5.45.41.37.34.32.3.28.26.25.23.22.21.2.19.18.18 6 1.18.99.85.76.68.63.58.54.5.46.42.39.37.34.32.31.29.28.26.25.24.23 7 1.26 1.7.93.83.76.7.65.6.57.53.5.46.43.41.38.36.35.33.31.3.29 8 1.32 1.13 1..9.82.76.71.66.62.59.56.53.5.47.44.42.4.38.36.35 9 1.37 1.19 1.6.96.88.81.76.71.67.64.61.58.55.53.5.47.45.43.41 1 1.41 1.24 1.11 1.1.93.86.81.76.72.68.65.62.59.57.55.52.5.47 11 1.44 1.28 1.15 1.5.97.91.85.8.76.72.69.66.63.61.58.56.54 12 1.47 1.31 1.19 1.1 1.2.95.89.84.8.76.73.7.67.64.62.6 13 1.49 1.34 1.23 1.13 1.5.99.93.88.83.8.76.73.7.67.65 14 1.52 1.37 1.26 1.16 1.9 1.2.96.91.87.83.79.76.73.71 15 1.53 1.4 1.29 1.19 1.12 1.5.99.94.9.86.82.79.76 16 1.55 1.42 1.31 1.22 1.14 1.8 1.2.97.93.89.85.82 17 1.57 1.44 1.33 1.25 1.17 1.11 1.5 1..95.91.88 18 1.58 1.46 1.36 1.27 1.2 1.13 1.7 1.2.98.94 19 1.59 1.47 1.37 1.29 1.22 1.15 1.1 1.5 1. 2 1.6 1.49 1.39 1.31 1.24 1.18 1.12 1.7 21 1.61 1.5 1.41 1.33 1.26 1.2 1.14 22 1.62 1.51 1.42 1.35 1.28 1.22 23 1.63 1.53 1.44 1.36 1.29 24 1.64 1.54 1.45 1.38 25 1.64 1.55 1.46 26 1.65 1.56 27 1.66 11

Table 4. Minimum C for Stability (µf) V V 4 5 6 7 8 9 1 11 12 13 14 15 16 17 18 19 2 21 22 23 24 25 26 27 28 3 173 128 1 8 65 54 46 4 35 31 28 25 23 21 19 18 17 15 15 14 13 12 12 11 1 4 151 118 96 8 68 59 51 45 39 35 32 29 27 24 23 21 2 18 17 16 15 15 14 13 5 132 17 9 77 67 59 52 46 41 37 34 31 29 26 25 23 21 2 19 18 17 16 15 6 117 97 83 72 64 57 51 46 42 38 35 32 3 28 26 24 23 21 2 19 18 17 7 14 89 77 68 61 55 5 45 42 39 35 33 3 28 26 25 23 22 21 2 19 8 94 82 72 64 58 52 48 44 41 38 35 33 31 29 27 25 24 22 21 2 9 86 76 67 61 55 5 46 42 39 37 34 32 3 29 27 25 24 23 21 1 79 7 63 57 52 48 44 41 38 36 34 32 3 28 27 25 24 23 11 73 66 59 54 5 46 43 4 37 35 33 31 29 28 26 25 24 12 68 62 56 51 47 44 41 38 36 34 32 3 29 27 26 25 13 64 58 53 49 45 42 39 37 35 33 31 29 28 27 25 14 6 55 5 47 43 4 38 36 34 32 3 29 27 26 15 56 52 48 44 42 39 37 35 33 31 29 28 27 16 53 49 46 43 4 37 35 33 32 3 29 27 17 5 47 44 41 38 36 34 32 31 29 28 18 48 45 42 39 37 35 33 31 3 28 19 46 43 4 38 36 34 32 3 29 2 43 41 38 36 34 33 31 29 21 42 39 37 35 33 32 3 22 4 38 36 34 32 31 23 38 36 34 33 31 24 37 35 33 32 25 35 34 32 26 34 33 27 33 12

Table 5. Minimum CCOMP for Stability (nf) V V 4 5 6 7 8 9 1 11 12 13 14 15 16 17 18 19 2 21 22 23 24 25 26 27 28 3 4 46 54 64 73 83 94 15 118 13 143 157 172 187 23 219 236 253 271 29 39 329 349 37 391 4 42 45 51 58 66 74 82 91 1 19 119 13 141 152 164 176 188 21 214 228 242 257 272 287 5 43 45 49 54 6 67 75 81 88 96 13 111 12 128 137 147 156 166 176 187 197 29 22 6 44 45 48 52 57 62 68 74 8 86 92 99 15 112 119 127 134 142 15 159 167 176 7 45 45 47 5 54 58 63 68 74 79 85 9 95 11 17 113 119 125 132 139 146 8 46 45 47 49 52 56 6 64 68 73 78 83 88 93 98 13 18 113 119 124 9 46 46 47 48 51 54 57 61 64 68 73 77 82 86 91 95 99 14 19 1 47 46 46 48 5 52 55 58 61 65 69 72 77 81 85 89 93 97 11 47 46 46 48 49 51 54 56 59 62 65 69 72 76 8 84 88 12 48 47 47 47 49 5 52 55 57 6 63 66 69 72 75 79 13 48 47 47 47 48 5 52 54 56 58 61 63 66 69 72 14 49 47 47 47 48 49 51 53 55 57 59 61 64 66 15 49 47 47 47 48 49 5 52 53 55 57 59 62 16 49 48 47 47 48 49 5 51 53 54 56 58 17 49 48 47 47 48 48 49 51 52 53 55 18 5 48 47 47 48 48 49 5 51 53 19 5 48 47 47 48 48 49 5 51 2 5 48 48 47 48 48 49 49 21 5 49 48 47 48 48 48 22 5 49 48 48 48 48 23 5 49 48 48 48 24 51 49 48 48 25 51 49 48 26 51 49 27 51 13

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