LM2679 SIMPLE SWITCHER (R) 5A Step-Down Voltage Regulator with Adjustable Current Limit General Description Features The LM2679 series of regulators are monolithic integrated circuits which provide all of the active functions for a step-down (buck) switching regulator capable of driving up to 5A loads with excellent line and load regulation characteristics. High efficiency ( > 90%) is obtained through the use of a low ON-resistance DMOS power switch. The series consists of fixed output voltages of 3.3V, 5V and 12V and an adjustable output version. The SIMPLE SWITCHER concept provides for a complete design using a minimum number of external components. A high fixed frequency oscillator (260KHz) allows the use of physically smaller sized components. A family of standard inductors for use with the LM2679 are available from several manufacturers to greatly simplify the design process. Other features include the ability to reduce the input surge current at power-ON by adding a softstart timing capacitor to gradually turn on the regulator. The LM2679 series also has built in thermal shutdown and resistor programmable current limit of the power MOSFET switch to protect the device and load circuitry under fault conditions. The output voltage is guaranteed to a 2% tolerance. The clock frequency is controlled to within a 11% tolerance. n Efficiency up to 92% n Simple and easy to design with (using off-the-shelf external components) n Resistor programmable peak current limit over a range of 3A to 7A. n 120 m DMOS output switch n 3.3V, 5V and 12V fixed output and adjustable (1.2V to 37V ) versions n 2%maximum output tolerance over full line and load conditions n Wide input voltage range: 8V to 40V n 260 KHz fixed frequency internal oscillator n Softstart capability n -40 to +125C operating junction temperature range Applications n Simple to design, high efficiency ( > 90%) step-down switching regulators n Efficient system pre-regulator for linear voltage regulators n Battery chargers Typical Application 10084703 SIMPLE SWITCHER (R) is a registered trademark of National Semiconductor Corporation. (c) 2002 National Semiconductor Corporation DS100847 www.national.com LM2679 SIMPLE SWITCHER 5A Step-Down Voltage Regulator with Adjustable Current Limit May 2002 LM2679 Connection Diagrams and Ordering Information TO-263 Package Top View TO-220 Package Top View 10084701 10084702 Order Number LM2679S-3.3, LM2679S-5.0, LM2679S-12 or LM2679S-ADJ See NSC Package Number TS7B Order Number LM2679T-3.3, LM2679T-5.0, LM2679T-12 or LM2679T-ADJ See NSC Package Number TA07B Top View 10084735 LLP-14 See NS package Number LDC14A Ordering Information for LLP Package Output Voltage Order Information Package Marking Supplied As 12 LM2679LD-12 S0000VB 1000 Units on Tape and Reel 12 LM2679LDX-12 S0000VB 4500 Units on Tape and Reel 3.3 LM2679LD-3.3 S0000TB 1000 Units on Tape and Reel 3.3 LM2679LDX-3.3 S0000TB 4500 Units on Tape and Reel 5.0 LM2679LD-5.0 S0000UB 1000 Units on Tape and Reel 5.0 LM2679LDX-5.0 S0000UB 4500 Units on Tape and Reel ADJ LM2679LD-ADJ S0000XB 1000 Units on Tape and Reel ADJ LM2679LDX-ADJ S0000XB 4500 Units on Tape and Reel www.national.com 2 Storage Temperature Range (Note 1) Soldering Temperature If Military/Aerospace specified devices are required, please contact the National Semiconductor Sales Office/ Distributors for availability and specifications. Input Supply Voltage 45V Softstart Pin Voltage -0.1V to 6V Switch Voltage to Ground 10 sec, 240C Vapor Phase 75 sec, 219C Supply Voltage -0.3V to 14V 8V to 40V Junction Temperature Range (TJ) Internally Limited ESD (Note 2) 4 sec, 260C Infrared Operating Ratings VSW + 8V Feedback Pin Voltage Power Dissipation Wave -1V to VIN Boost Pin Voltage -65C to 150C -40C to 125C 2 kV Electrical Characteristics Limits appearing in bold type face apply over the entire junction temperature range of operation, -40C to 125C. Specifications appearing in normal type apply for TA = TJ = 25C. RADJ = 5.6K LM2679-3.3 Symbol Parameter Conditions Typical Min Max (Note 3) (Note 4) (Note 4) 3.234/3.201 3.366/3.399 VOUT Output Voltage VIN = 8V to 40V, 100mA IOUT 5A 3.3 Efficiency VIN = 12V, ILOAD = 5A 82 Units V % LM2679-5.0 Symbol Parameter Conditions Typical Min Max (Note 3) (Note 4) (Note 4) VOUT Output Voltage VIN = 8V to 40V, 100mA IOUT 5A 5.0 4.900/4.850 5.100/5.150 Efficiency VIN = 12V, ILOAD = 5A 84 Units V % LM2679-12 Symbol Parameter Conditions Typical Min Max (Note 3) (Note 4) (Note 4) 11.76/11.64 12.24/12.36 VOUT Output Voltage VIN = 15V to 40V, 100mA IOUT 5A 12 Efficiency VIN = 24V, ILOAD = 5A 92 Units V % LM2679-ADJ Symbol Parameter Conditions VFB Feedback Voltage VIN = 8V to 40V, 100mA IOUT 5A VOUT Programmed for 5V Efficiency VIN = 12V, ILOAD = 5A Typ Min Max (Note 3) (Note 4) (Note 4) 1.21 1.186/1.174 1.234/1.246 84 3 Units V % www.national.com LM2679 Absolute Maximum Ratings LM2679 All Output Voltage Versions Electrical Characteristics Limits appearing in bold type face apply over the entire junction temperature range of operation, -40C to 125C. Specifications appearing in normal type apply for TA = TJ = 25C. Unless otherwise specified VIN =12V for the 3.3V, 5V and Adjustable versions and VIN =24V for the 12V version. Symbol Parameter Conditions Typ Min Max Units 6 mA DEVICE PARAMETERS IQ Quiescent Current VFEEDBACK = 8V 4.2 For 3.3V, 5.0V, and ADJ Versions VFEEDBACK = 15V For 12V Versions VADJ Current Limit Adjust Voltage ICL Current Limit IL Output Leakage Current RDS(ON) Switch On-Resistance fO D 1.21 1.181/1.169 1.229/1.246 V RADJ = 5.6K, (Note 5) 6.3 5.5/5.3 7.6/8.1 A VIN = 40V, Softstart Pin = 0V VSWITCH = 0V VSWITCH = -1V 1.0 6 1.5 15 ISWITCH = 5A 0.12 0.14/0.225 Oscillator Frequency Measured at Switch Pin 260 280 kHz Duty Cycle Maximum Duty Cycle 91 % Minimum Duty Cycle 0 % VFEEDBACK = 1.3V ADJ Version Only 85 nA IBIAS Feedback Bias Current VSFST Softstart Threshold Voltage 0.63 ISFST Softstart Pin Current Softstart Pin = 0V JA Thermal Resistance T Package, Junction to Ambient JA 3.7 225 0.53 mA mA 0.74 V 6.9 A 65 (Note 6) T Package, Junction to Ambient 45 (Note 7) JC T Package, Junction to Case 2 JA S Package, Junction to Ambient 56 C/W (Note 8) JA S Package, Junction to Ambient 35 (Note 9) JA S Package, Junction to Ambient 26 (Note 10) JC S Package, Junction to Case 2 JA LD Package, Junction to Ambient 55 (Note 11) JA LD Package, Junction to Ambient 29 (Note 12) www.national.com 4 ++ C/W LM2679 All Output Voltage Versions Electrical Characteristics (Continued) Note 1: Absolute Maximum Ratings are limits beyond which damage to the device may occur. Operating Ratings indicate conditions under which of the device is guaranteed. Operating Ratings do not imply guaranteed performance limits. For guaranteed performance limits and associated test condition, see the electrical Characteristics tables. Note 2: ESD was applied using the human-body model, a 100pF capacitor discharged through a 1.5 k resistor into each pin. Note 3: Typical values are determined with TA = TJ = 25C and represent the most likely norm. Note 4: All limits are guaranteed at room temperature (standard type face) and at temperature extremes (bold type face). All room temperature limits are 100% tested during production with TA = TJ = 25C. All limits at temperature extremes are guaranteed via correlation using standard standard Quality Control (SQC) methods. All limits are used to calculate Average Outgoing Quality Level (AOQL). Note 5: The peak switch current limit is determined by the following relationship: ICL =37,125/ RADJ. Note 6: Junction to ambient thermal resistance (no external heat sink) for the 7 lead TO-220 package mounted vertically, with 12 inch leads in a socket, or on a PC board with minimum copper area. Note 7: Junction to ambient thermal resistance (no external heat sink) for the 7 lead TO-220 package mounted vertically, with 12 inch leads soldered to a PC board containing approximately 4 square inches of (1 oz.) copper area surrounding the leads. Note 8: Junction to ambient thermal resistance for the 7 lead TO-263 mounted horizontally against a PC board area of 0.136 square inches (the same size as the TO-263 package) of 1 oz. (0.0014 in. thick) copper. Note 9: Junction to ambient thermal resistance for the 7 lead TO-263 mounted horizontally against a PC board area of 0.4896 square inches (3.6 times the area of the TO-263 package) of 1 oz. (0.0014 in. thick) copper. Note 10: Junction to ambient thermal resistance for the 7 lead TO-263 mounted horizontally against a PC board copper area of 1.0064 square inches (7.4 times the area of the TO-263 package) of 1 oz. (0.0014 in. thick) copper. Additional copper area will reduce thermal resistance further. See the thermal model in Switchers Made Simple (R) software. Note 11: Junction to ambient thermal resistance for the 14-lead LLP mounted on a PC board copper area equal to the die attach paddle. Note 12: Junction to ambient thermal resistance for the 14-lead LLP mounted on a PC board copper area using 12 vias to a second layer of copper equal to die attach paddle. Additional copper area will reduce thermal resistance further. For layout recommendations, refer to Application Note AN-1187. 5 www.national.com LM2679 Typical Performance Characteristics Normalized Output Voltage Line Regulation 10084704 Efficiency vs ILOAD 10084705 Switch Current Limit 10084707 Switching Frequency 10084708 Feedback Pin Bias Current 10084713 10084712 www.national.com Efficiency vs Input Voltage 6 10084706 Operating Quiescent Current 10084709 LM2679 Block Diagram 10084714 * Active Inductor Patent Number 5,514,947 Active Capacitor Patent Number 5,382,918 7 www.national.com LM2679 Typical Performance Characteristics Discontinuous Mode Switching Waveforms VIN = 20V, VOUT = 5V, ILOAD = 500 mA L = 10 H, COUT = 400 F, COUTESR = 13 m Continuous Mode Switching Waveforms VIN = 20V, VOUT = 5V, ILOAD = 5A L = 10 H, COUT = 400 F, COUTESR = 13 m 10084715 10084716 Horizontal Time Base: 1 s/div Horizontal Time Base: 1 s//iv A: VSW Pin Voltage, 10 V/div. B: Inductor Current, 2 A/div B: Inductor Current, 1 A/div A: VSW Pin Voltage, 10 V/div. C: Output Ripple Voltage, 20 mV/div AC-Coupled C: Output Ripple Voltage, 20 mV/div AC-Coupled Load Transient Response for Discontinuous Mode VIN = 20V, VOUT = 5V, L = 10 H, COUT = 400 F, COUTESR = 13 m Load Transient Response for Continuous Mode VIN = 20V, VOUT = 5V L = 10 H, COUT = 400 F, COUTESR = 13 m 10084717 10084718 Horizontal Time Base: 100 s/div Horizontal Time Base: 200 s/div A: Output Voltage, 100 mV//div, AC-Coupled. A: Output Voltage, 100 mV/div, AC-Coupled. B: Load Current: 500 mA to 5A Load Pulse B: Load Current: 200 mA to 3A Load Pulse www.national.com 8 The LM2679 provides all of the active functions required for a step-down (buck) switching regulator. The internal power switch is a DMOS power MOSFET to provide power supply designs with high current capability, up to 5A, and highly efficient operation. Ground This is the ground reference connection for all components in the power supply. In fast-switching, high-current applications such as those implemented with the LM2679, it is recommended that a broad ground plane be used to minimize signal coupling throughout the circuit Current Adjust A key feature of the LM2679 is the ability to tailor the peak switch current limit to a level required by a particular application. This alleviates the need to use external components that must be physically sized to accommodate current levels (under shorted output conditions for example) that may be much higher than the normal circuit operating current requirements. A resistor connected from pin 5 to ground establishes a current (I(pin 5) = 1.2V / RADJ) that sets the peak current through the power switch. The maximum switch current is fixed at a level of 37,125 / RADJ. Feedback This is the input to a two-stage high gain amplifier, which drives the PWM controller. It is necessary to connect pin 6 to the actual output of the power supply to set the dc output voltage. For the fixed output devices (3.3V, 5V and 12V outputs), a direct wire connection to the output is all that is required as internal gain setting resistors are provided inside the LM2679. For the adjustable output version two external resistors are required to set the dc output voltage. For stable operation of the power supply it is important to prevent coupling of any inductor flux to the feedback input. Softstart A capacitor connected from pin 7 to ground allows for a slow turn-on of the switching regulator. The capacitor sets a time delay to gradually increase the duty cycle of the internal power switch. This can significantly reduce the amount of surge current required from the input supply during an abrupt application of the input voltage. If softstart is not required this pin should be left open circuited. The LM2679 is part of the SIMPLE SWITCHER family of power converters. A complete design uses a minimum number of external components, which have been pre-determined from a variety of manufacturers. Using either this data sheet or a design software program called LM267X Made Simple (version 2.0) a complete switching power supply can be designed quickly. The software is provided free of charge and can be downloaded from National Semiconductor's Internet site located at http://www.national.com. Switch Output This is the output of a power MOSFET switch connected directly to the input voltage. The switch provides energy to an inductor, an output capacitor and the load circuitry under control of an internal pulse-width-modulator (PWM). The PWM controller is internally clocked by a fixed 260KHz oscillator. In a standard step-down application the duty cycle (Time ON/Time OFF) of the power switch is proportional to the ratio of the power supply output voltage to the input voltage. The voltage on pin 1 switches between Vin (switch ON) and below ground by the voltage drop of the external Schottky diode (switch OFF). Input The input voltage for the power supply is connected to pin 2. In addition to providing energy to the load the input voltage also provides bias for the internal circuitry of the LM2679. For guaranteed performance the input voltage must be in the range of 8V to 40V. For best performance of the power supply the input pin should always be bypassed with an input capacitor located close to pin 2. C Boost A capacitor must be connected from pin 3 to the switch output, pin 1. This capacitor boosts the gate drive to the internal MOSFET above Vin to fully turn it ON. This miniDESIGN CONSIDERATIONS 10084723 FIGURE 1. Basic circuit for fixed output voltage applications. 9 www.national.com LM2679 mizes conduction losses in the power switch to maintain high efficiency. The recommended value for C Boost is 0.01F. Application Hints LM2679 Application Hints (Continued) 10084724 FIGURE 2. Basic circuit for adjustable output voltage applications input and output voltage and load current. Several part types are offered for a given amount of inductance. Both surface mount and through-hole devices are available. The inductors from each of the three manufacturers have unique characteristics. Renco: ferrite stick core inductors; benefits are typically lowest cost and can withstand ripple and transient peak currents above the rated value. These inductors have an external magnetic field, which may generate EMI. Pulse Engineering: powdered iron toroid core inductors; these also can withstand higher than rated currents and, being toroid inductors, will have low EMI. Coilcraft: ferrite drum core inductors; these are the smallest physical size inductors and are available only as surface mount components. These inductors also generate EMI but less than stick inductors. OUTPUT CAPACITOR The output capacitor acts to smooth the dc output voltage and also provides energy storage. Selection of an output capacitor, with an associated equivalent series resistance (ESR), impacts both the amount of output ripple voltage and stability of the control loop. The output ripple voltage of the power supply is the product of the capacitor ESR and the inductor ripple current. The capacitor types recommended in the tables were selected for having low ESR ratings. In addition, both surface mount tantalum capacitors and through-hole aluminum electrolytic capacitors are offered as solutions. Impacting frequency stability of the overall control loop, the output capacitance, in conjunction with the inductor, creates a double pole inside the feedback loop. In addition the capacitance and the ESR value create a zero. These frequency response effects together with the internal frequency compensation circuitry of the LM2679 modify the gain and phase shift of the closed loop system. As a general rule for stable switching regulator circuits it is desired to have the unity gain bandwidth of the circuit to be limited to no more than one-sixth of the controller switching Power supply design using the LM2679 is greatly simplified by using recommended external components. A wide range of inductors, capacitors and Schottky diodes from several manufacturers have been evaluated for use in designs that cover the full range of capabilities (input voltage, output voltage and load current) of the LM2679. A simple design procedure using nomographs and component tables provided in this data sheet leads to a working design with very little effort. Alternatively, the design software, LM267X Made Simple (version 6.0), can also be used to provide instant component selection, circuit performance calculations for evaluation, a bill of materials component list and a circuit schematic. The individual components from the various manufacturers called out for use are still just a small sample of the vast array of components available in the industry. While these components are recommended, they are not exclusively the only components for use in a design. After a close comparison of component specifications, equivalent devices from other manufacturers could be substituted for use in an application. Important considerations for each external component and an explanation of how the nomographs and selection tables were developed follows. INDUCTOR The inductor is the key component in a switching regulator. For efficiency the inductor stores energy during the switch ON time and then transfers energy to the load while the switch is OFF. Nomographs are used to select the inductance value required for a given set of operating conditions. The nomographs assume that the circuit is operating in continuous mode (the current flowing through the inductor never falls to zero). The magnitude of inductance is selected to maintain a maximum ripple current of 30% of the maximum load current. If the ripple current exceeds this 30% limit the next larger value is selected. The inductors offered have been specifically manufactured to provide proper operation under all operating conditions of www.national.com 10 The average current through the catch diode is dependent on the switch duty cycle (D) and is equal to the load current times (1-D). Use of a diode rated for much higher current than is required by the actual application helps to minimize the voltage drop and power loss in the diode. (Continued) frequency. With the fixed 260KHz switching frequency of the LM2679, the output capacitor is selected to provide a unity gain bandwidth of 40KHz maximum. Each recommended capacitor value has been chosen to achieve this result. During the switch ON time the diode will be reversed biased by the input voltage. The reverse voltage rating of the diode should be at least 1.3 times greater than the maximum input voltage. BOOST CAPACITOR The boost capacitor creates a voltage used to overdrive the gate of the internal power MOSFET. This improves efficiency by minimizing the on resistance of the switch and associated power loss. For all applications it is recommended to use a 0.01F/50V ceramic capacitor. RADJ, ADJUSTABLE CURRENT LIMIT In some cases multiple capacitors are required either to reduce the ESR of the output capacitor, to minimize output ripple (a ripple voltage of 1% of Vout or less is the assumed performance condition), or to increase the output capacitance to reduce the closed loop unity gain bandwidth (to less than 40KHz). When parallel combinations of capacitors are required it has been assumed that each capacitor is the exact same part type. The RMS current and working voltage (WV) ratings of the output capacitor are also important considerations. In a typical step-down switching regulator, the inductor ripple current (set to be no more than 30% of the maximum load current by the inductor selection) is the current that flows through the output capacitor. The capacitor RMS current rating must be greater than this ripple current. The voltage rating of the output capacitor should be greater than 1.3 times the maximum output voltage of the power supply. If operation of the system at elevated temperatures is required, the capacitor voltage rating may be de-rated to less than the nominal room temperature rating. Careful inspection of the manufacturer's specification for de-rating of working voltage with temperature is important. INPUT CAPACITOR Fast changing currents in high current switching regulators place a significant dynamic load on the unregulated power source. An input capacitor helps to provide additional current to the power supply as well as smooth out input voltage variations. Like the output capacitor, the key specifications for the input capacitor are RMS current rating and working voltage. The RMS current flowing through the input capacitor is equal to one-half of the maximum dc load current so the capacitor should be rated to handle this. Paralleling multiple capacitors proportionally increases the current rating of the total capacitance. The voltage rating should also be selected to be 1.3 times the maximum input voltage. Depending on the unregulated input power source, under light load conditions the maximum input voltage could be significantly higher than normal operation and should be considered when selecting an input capacitor. The input capacitor should be placed very close to the input pin of the LM2679. Due to relative high current operation with fast transient changes, the series inductance of input connecting wires or PCB traces can create ringing signals at the input terminal which could possibly propagate to the output or other parts of the circuitry. It may be necessary in some designs to add a small valued (0.1F to 0.47F) ceramic type capacitor in parallel with the input capacitor to prevent or minimize any ringing. CATCH DIODE When the power switch in the LM2679 turns OFF, the current through the inductor continues to flow. The path for this current is through the diode connected between the switch output and ground. This forward biased diode clamps the switch output to a voltage less than ground. This negative voltage must be greater than -1V so a low voltage drop (particularly at high current levels) Schottky diode is recommended. Total efficiency of the entire power supply is significantly impacted by the power lost in the output catch diode. A key feature of the LM2679 is the ability to control the peak switch current. Without this feature the peak switch current would be internally set to 7A or higher to accommodate 5A load current designs. This requires that both the inductor (which could saturate with excessively high currents) and the catch diode be able to safely handle up to 7A which would be conducted under load fault conditions. If an application only requires a load current of 3A or 4A the peak switch current can be set to a limit just over the maximum load current with the addition of a single programming resistor. This allows the use of less powerful and more cost effective inductors and diodes. The peak switch current is equal to a factor of 37,125 divided by RADJ. A resistance of 5.6K sets the current limit to typically 6.3A and an RADJ of 8.25K reduces the maximum current to approximately 4.4A. For predictable control of the current limit it is recommended to keep the peak switch current greater than 3A. For lower current applications a 3A switching regulator with adjustable current limit, the LM2673, is available. When the power switch reaches the current limit threshold it is immediately turned OFF and the internal switching frequency is reduced. This extends the OFF time of the switch to prevent a steady state high current condition. As the switch current falls below the current limit threshold, the switch will turn back ON. If a load fault continues, the switch will again exceed the threshold and switch back OFF. This will result in a low duty cycle pulsing of the power switch to minimize the overall fault condition power dissipation. Css SOFTSTART CAPACITOR This optional capacitor controls the rate at which the LM2679 starts up at power on. The capacitor is charged linearly by an internal current source. This voltage ramp gradually increases the duty cycle of the power switch until it reaches the normal operating duty cycle defined primarily by the ratio of the output voltage to the input voltage. The softstart turn-on time is programmable by the selection of Css. The formula for selecting a softstart capacitor is: Where: ISST = Softstart Current, 3.7A typical tSS = Softstart time, from design requirements VSST = Softstart Threshold Voltage, 0.63V typical VOUT = Output Voltage, from design requirements 11 www.national.com LM2679 Application Hints LM2679 Application Hints VIN = Maximum Input Voltage, from design requirements Step 3: Use the nomograph for the 3.3V device ,Figure 3. The intersection of the 16V horizontal line (Vin max) and the 4A vertical line (Iload max) indicates that L46, a 15H inductor, is required. If this feature is not desired, leave the Softstart pin (pin 7) open circuited From Table 1, L46 in a through-hole component is available from Renco with part number RL-1283-15-43. SIMPLE DESIGN PROCEDURE Using the nomographs and tables in this data sheet (or use the available design software at http://www.national.com) a complete step-down regulator can be designed in a few simple steps. Step 1: Define the power supply operating conditions: Required output voltage Maximum DC input voltage Maximum output load current Step 2: Set the output voltage by selecting a fixed output LM2679 (3.3V, 5V or 12V applications) or determine the required feedback resistors for use with the adjustable LM2679-ADJ Step 3: Determine the inductor required by using one of the four nomographs, Figure 3 through Figure 6. Table 1 provides a specific manufacturer and part number for the inductor. Step 4: Using Table 3 (fixed output voltage) or Table 6 (adjustable output voltage), determine the output capacitance required for stable operation. Table 2 provides the specific capacitor type from the manufacturer of choice. Step 5: Determine an input capacitor from Table 4 for fixed output voltage applications. Use Table 2 to find the specific capacitor type. For adjustable output circuits select a capacitor from Table 2 with a sufficient working voltage (WV) rating greater than Vin max, and an rms current rating greater than one-half the maximum load current (2 or more capacitors in parallel may be required). Step 6: Select a diode from Table 5. The current rating of the diode must be greater than I load max and the Reverse Voltage rating must be greater than Vin max. Step 7: Include a 0.01F/50V capacitor for Cboost in the design and then determine the value of a softstart capacitor if desired. Step 8: Define a value for RADJ to set the peak switch current limit to be at least 20% greater than Iout max to allow for at least 30% inductor ripple current ( 15% of Iout). For designs that must operate over the full temperature range the switch current limit should be set to at least 50% greater than Iout max (1.5 x Iout max). FIXED OUTPUT VOLTAGE DESIGN EXAMPLE A system logic power supply bus of 3.3V is to be generated from a wall adapter which provides an unregulated DC voltage of 13V to 16V. The maximum load current is 4A. A softstart delay time of 50mS is desired. Through-hole components are preferred. Step 1: Operating conditions are: Vout = 3.3V Vin max = 16V Iload max = 4A Step 2: Select an LM2679T-3.3. The output voltage will have a tolerance of Step 4: Use Table 3 to determine an output capacitor. With a 3.3V output and a 15H inductor there are four through-hole output capacitor solutions with the number of same type capacitors to be paralleled and an identifying capacitor code given. Table 2 provides the actual capacitor characteristics. Any of the following choices will work in the circuit: 2 x 220F/10V Sanyo OS-CON (code C5) 2 x 820F/16V Sanyo MV-GX (code C5) 1 x 3900F/10V Nichicon PL (code C7) 2 x 560F/35V Panasonic HFQ (code C5) Step 5: Use Table 4 to select an input capacitor. With 3.3V output and 15H there are three through-hole solutions. These capacitors provide a sufficient voltage rating and an rms current rating greater than 2A (1/2 Iload max). Again using Table 2 for specific component characteristics the following choices are suitable: 2 x 680F/63V Sanyo MV-GX (code C13) 1 x 1200F/63V Nichicon PL (code C25) 1 x 1500F/63V Panasonic HFQ (code C16) Step 6: From Table 5 a 5A or more Schottky diode must be selected. For through-hole components only 40V rated diodes are indicated and 4 part types are suitable: 1N5825 MBR745 80SQ045 6TQ045 Step 7: A 0.01F capacitor will be used for Cboost. For the 50mS softstart delay the following parameters are to be used: ISST: 3.7A (Continued) VSCHOTTKY = Schottky Diode Voltage Drop, typically 0.5V tSS: 50mS VSST: 0.63V VOUT: 3.3V VSCHOTTKY: 0.5V VIN: 16V Using Vin max ensures that the softstart delay time will be at least the desired 50mS. Using the formula for Css a value of 0.148F is determined to be required. Use of a standard value 0.22F capacitor will produce more than sufficient softstart delay. Step 8: Determine a value for RADJ to provide a peak switch current limit of at least 4A plus 50% or 6A. Use a value of 6.2K. ADJUSTABLE OUTPUT DESIGN EXAMPLE In this example it is desired to convert the voltage from a two battery automotive power supply (voltage range of 20V to 28V, typical in large truck applications) to the 14.8VDC alternator supply typically used to power electronic equipment from single battery 12V vehicle systems. The load current 2% at room temperature and 3% over the full operating temperature range. www.national.com 12 Step 3: To use the nomograph for the adjustable device, Figure 6, requires a calculation of the inductor Volt * microsecond constant (E * T expressed in V * S) from the following formula: (Continued) required is 3.5A maximum. It is also desired to implement the power supply with all surface mount components. Softstart is not required. Step 1: Operating conditions are: Vout = 14.8V Vin max = 28V Iload max = 3.5A Step 2: Select an LM2679S-ADJ. To set the output voltage to 14.9V two resistors need to be chosen (R1 and R2 in Figure 2). For the adjustable device the output voltage is set by the following relationship: where VSAT is the voltage drop across the internal power switch which is Rds(ON) times Iload. In this example this would be typically 0.12 x 3.5A or 0.42V and VD is the voltage drop across the forward bisased Schottky diode, typically 0.5V. The switching frequency of 260KHz is the nominal value to use to estimate the ON time of the switch during which energy is stored in the inductor. For this example E * T is found to be: Where VFB is the feedback voltage of typically 1.21V. A recommended value to use for R1 is 1K. In this example then R2 is determined to be: Using Figure 6, the intersection of 27V * S horizontally and the 3.5A vertical line (Iload max) indicates that L48 , a 47H inductor, or L49, a 33H inductor could be used. Either inductor will be suitable, but for this example selecting the larger inductance will result in lower ripple current. From Table 1, L48 in a surface mount component is available from Pulse Engineering with part number P0848. Step 4: Use Table 6 to determine an output capacitor. With a 14.8V output the 12.5 to 15V row is used and with a 47H inductor there are three surface mount output capacitor solutions. Table 2 provides the actual capacitor characteristics based on the C Code number. Any of the following choices can be used: 1 x 33F/20V AVX TPS (code C6) 1 x 47F/20V Sprague 594 (code C8) 1 x 47F/20V Kemet T495 (code C8) R2 = 11.23K The closest standard 1% tolerance value to use is 11.3K This will set the nominal output voltage to 14.88V which is within 0.5% of the target value. Important Note: When using the adjustable device in low voltage applications (less than 3V output), if the nomograph, Figure 6, selects an inductance of 22H or less, Table 6 does not provide an output capacitor solution. With these conditions the number of output capacitors required for stable operation becomes impractical. It is recommended to use either a 33H or 47H inductor and the output capacitors from Table 6. Step 5: An input capacitor for this example will require at least a 35V WV rating with an rms current rating of 1.75A (1/2 Iout max). From Table 2 it can be seen that C12, a 33F/35V capacitor from Sprague, has the highest voltage/current rating of the surface mount components and that two of these capacitor in parallel will be adquate. Step 6: From Table 5 a 5A or more Schottky diode must be selected. For surface mount diodes with a margin of safety on the voltage rating one of two diodes can be used: MBRD1545CT 6TQ045S Step 7: A 0.01F capacitor will be used for Cboost. The softstart pin will be left open circuited. Step 8: Determine a value for RADJ to provide a peak switch current limit of at least 3.5A plus 50% or 5.25A. 13 www.national.com LM2679 Application Hints LM2679 Application Hints Use a value of 7.15K. (Continued) INDUCTOR VALUE SELECTION GUIDES (For Continuous Mode Operation) 10084719 10084720 FIGURE 3. LM2679-3.3 FIGURE 4. LM2679-5.0 10084722 10084721 FIGURE 6. LM2679-ADJ FIGURE 5. LM2679-12 Table 1. Inductor Manufacturer Part Numbers Inductor Inductance Reference (H) Number Current (A) Renco Through Hole Pulse Engineering Surface Mount Through Hole Surface Mount Coilcraft Surface Mount L23 33 1.35 RL-5471-7 RL1500-33 PE-53823 PE-53823S DO3316-333 L24 22 1.65 RL-1283-22-43 RL1500-22 PE-53824 PE-53824S DO3316-223 L25 15 2.00 RL-1283-15-43 RL1500-15 PE-53825 PE-53825S DO3316-153 L29 100 1.41 RL-5471-4 RL-6050-100 PE-53829 PE-53829S DO5022P-104 L30 68 1.71 RL-5471-5 RL6050-68 PE-53830 PE-53830S DO5022P-683 L31 47 2.06 RL-5471-6 RL6050-47 PE-53831 PE-53831S DO5022P-473 L32 33 2.46 RL-5471-7 RL6050-33 PE-53932 PE-53932S DO5022P-333 www.national.com 14 LM2679 Application Hints (Continued) Table 1. Inductor Manufacturer Part Numbers (Continued) Inductor Inductance Reference (H) Number Renco Pulse Engineering Current (A) Through Hole Surface Mount Through Hole Surface Mount Coilcraft Surface Mount L33 22 3.02 RL-1283-22-43 RL6050-22 PE-53933 PE-53933S DO5022P-223 L34 15 3.65 RL-1283-15-43 -- PE-53934 PE-53934S DO5022P-153 L38 68 2.97 RL-5472-2 -- PE-54038 PE-54038S -- L39 47 3.57 RL-5472-3 -- PE-54039 PE-54039S -- L40 33 4.26 RL-1283-33-43 -- PE-54040 PE-54040S -- L41 22 5.22 RL-1283-22-43 -- PE-54041 P0841 -- L44 68 3.45 RL-5473-3 -- PE-54044 L45 10 4.47 RL-1283-10-43 -- -- P0845 DO5022P-103HC L46 15 5.60 RL-1283-15-43 -- -- P0846 DO5022P-153HC L47 10 5.66 RL-1283-10-43 -- -- P0847 DO5022P-103HC L48 47 5.61 RL-1282-47-43 -- -- P0848 -- L49 33 5.61 RL-1282-33-43 -- -- P0849 -- -- -- Inductor Manufacturer Contact Numbers Coilcraft Coilcraft, Europe Phone (800) 322-2645 FAX (708) 639-1469 Phone +44 1236 730 595 FAX +44 1236 730 627 Phone (619) 674-8100 FAX (619) 674-8262 Pulse Engineering, Phone +353 93 24 107 Europe FAX +353 93 24 459 Renco Electronics Phone (800) 645-5828 FAX (516) 586-5562 Pulse Engineering Table 2. Input and Output Capacitor Codes Capacitor Reference Code Surface Mount AVX TPS Series C (F) WV (V) Irms (A) Sprague 594D Series C (F) WV (V) Irms (A) Kemet T495 Series C (F) WV (V) Irms (A) C1 330 6.3 1.15 120 6.3 1.1 100 6.3 C2 100 10 1.1 220 6.3 1.4 220 6.3 0.82 1.1 C3 220 10 1.15 68 10 1.05 330 6.3 1.1 C4 47 16 0.89 150 10 1.35 100 10 1.1 C5 100 16 1.15 47 16 1 150 10 1.1 C6 33 20 0.77 100 16 1.3 220 10 1.1 C7 68 20 0.94 180 16 1.95 33 20 0.78 C8 22 25 0.77 47 20 1.15 47 20 0.94 C9 10 35 0.63 33 25 1.05 68 20 0.94 C10 22 35 0.66 68 25 1.6 10 35 0.63 C11 15 35 0.75 22 35 0.63 C12 33 35 1 4.7 50 0.66 C13 15 50 0.9 15 www.national.com LM2679 Application Hints (Continued) Table 2. Input and Output Capacitor Codes (continued) Through Hole Capacitor Sanyo OS-CON SA Series Sanyo MV-GX Series Nichicon PL Series Reference Irms Irms Irms Code C (F) WV (V) (A) C (F) WV (V) (A) C (F) WV (V) (A) Panasonic HFQ Series C (F) WV (V) Irms (A) C1 47 6.3 1 1000 6.3 0.8 680 10 0.8 82 35 0.4 C2 150 6.3 1.95 270 16 0.6 820 10 0.98 120 35 0.44 C3 330 6.3 2.45 470 16 0.75 1000 10 1.06 220 35 0.76 C4 100 10 1.87 560 16 0.95 1200 10 1.28 330 35 1.01 C5 220 10 2.36 820 16 1.25 2200 10 1.71 560 35 1.4 C6 33 16 0.96 1000 16 1.3 3300 10 2.18 820 35 1.62 C7 100 16 1.92 150 35 0.65 3900 10 2.36 1000 35 1.73 C8 150 16 2.28 470 35 1.3 6800 10 2.68 2200 35 2.8 C9 100 20 2.25 680 35 1.4 180 16 0.41 56 50 0.36 C10 47 25 2.09 1000 35 1.7 270 16 0.55 100 50 0.5 C11 220 63 0.76 470 16 0.77 220 50 0.92 C12 470 63 1.2 680 16 1.02 470 50 1.44 C13 680 63 1.5 820 16 1.22 560 50 1.68 C14 1000 63 1.75 1800 16 1.88 1200 50 2.22 C15 220 25 0.63 330 63 1.42 C16 220 35 0.79 1500 63 2.51 C17 560 35 1.43 C18 2200 35 2.68 C19 150 50 0.82 C20 220 50 1.04 C21 330 50 1.3 C22 100 63 0.75 C23 390 63 1.62 C24 820 63 2.22 C25 1200 63 2.51 Capacitor Manufacturer Contact Numbers Nichicon Panasonic AVX Sprague/Vishay Sanyo Kemet www.national.com Phone (847) 843-7500 FAX (847) 843-2798 Phone (714) 373-7857 FAX (714) 373-7102 Phone (845) 448-9411 FAX (845) 448-1943 Phone (207) 324-4140 FAX (207) 324-7223 Phone (619) 661-6322 FAX (619) 661-1055 Phone (864) 963-6300 FAX (864) 963-6521 16 LM2679 Application Hints (Continued) Table 3. Output Capacitors for Fixed Output Voltage Application Surface Mount Output Inductance Voltage (V) (H) 3.3 5 12 AVX TPS Series Sprague 594D Series Kemet T495 Series No. C Code No. C Code No. C Code 10 5 C1 5 C1 5 C2 15 4 C1 4 C1 4 C3 22 3 C2 2 C7 3 C4 33 1 C1 2 C7 3 C4 10 4 C2 4 C6 4 C4 15 3 C3 2 C7 3 C5 22 3 C2 2 C7 3 C4 33 2 C2 2 C3 2 C4 47 2 C2 1 C7 2 C4 10 4 C5 3 C6 5 C9 15 3 C5 2 C7 4 C9 22 2 C5 2 C6 3 C8 33 2 C5 1 C7 3 C8 47 2 C4 1 C6 2 C8 68 1 C5 1 C5 2 C7 100 1 C4 1 C5 1 C8 Through Hole Output Inductance Voltage (V) (H) 3.3 5 12 Sanyo OS-CON SA Series Sanyo MV-GX Series Nichicon PL Series Panasonic HFQ Series No. C Code No. C Code No. C Code No. C Code 10 2 C5 2 C6 1 C8 2 C6 15 2 C5 2 C5 1 C7 2 C5 22 1 C5 1 C10 1 C5 1 C7 33 1 C5 1 C10 1 C5 1 C7 10 2 C4 2 C5 1 C6 2 C5 15 1 C5 1 C10 1 C5 1 C7 22 1 C5 1 C9 1 C5 1 C5 33 1 C4 1 C5 1 C4 1 C4 47 1 C4 1 C4 1 C2 2 C4 10 2 C7 1 C10 1 C14 2 C4 15 1 C8 1 C6 1 C17 1 C5 22 1 C7 1 C5 1 C13 1 C5 33 1 C7 1 C4 1 C12 1 C4 47 1 C7 1 C3 1 C11 1 C3 68 1 C6 1 C2 1 C10 1 C3 100 1 C6 1 C2 1 C9 1 C1 No. represents the number of identical capacitor types to be connected in parallel C Code indicates the Capacitor Reference number in Table 2 for identifying the specific component from the manufacturer. 17 www.national.com LM2679 Application Hints (Continued) Table 4. Input Capacitors for Fixed Output Voltage Application (Assumes worst case maximum input voltage and load current for a given inductance value) Surface Mount Output Inductance Voltage (V) (H) 3.3 5 12 AVX TPS Series Sprague 594D Series Kemet T495 Series No. C Code No. C Code No. 10 3 C7 2 C10 3 C Code C9 15 * * 3 C13 4 C12 22 * * 2 C13 3 C12 33 * * 2 C13 3 C12 10 3 C4 2 C6 3 C9 15 4 C9 3 C12 4 C10 22 * * 3 C13 4 C12 33 * * 2 C13 3 C12 47 * * 1 C13 2 C12 10 4 C9 2 C10 4 C10 15 4 C8 2 C10 4 C10 22 4 C9 3 C12 4 C10 33 * * 3 C13 4 C12 47 * * 2 C13 3 C12 68 * * 2 C13 2 C12 100 * * 1 C13 2 C12 Through Hole Output Inductance Voltage (V) (H) 3.3 5 12 Sanyo OS-CON SA Series Sanyo MV-GX Series Nichicon PL Series No. C Code No. C Code No. C Code No. C Code 10 2 C9 2 C8 1 C18 1 C8 15 * * 2 C13 1 C25 1 C16 22 * * 1 C14 1 C24 1 C16 33 * * 1 C14 1 C24 1 C16 10 2 C7 2 C8 1 C25 1 C8 15 * * 2 C8 1 C25 1 C8 22 * * 2 C13 1 C25 1 C16 33 * * 1 C14 1 C23 1 C13 47 * * 1 C12 1 C19 1 C11 10 2 C10 2 C8 1 C18 1 C8 15 2 C10 2 C8 1 C18 1 C8 22 * * 2 C8 1 C18 1 C8 33 * * 2 C12 1 C24 1 C14 47 * * 1 C14 1 C23 1 C13 68 * * 1 C13 1 C21 1 C15 100 * * 1 C11 1 C22 1 C11 * Check voltage rating of capacitors to be greater than application input voltage. No. represents the number of identical capacitor types to be connected in parallel C Code indicates the Capacitor Reference number in Table 2 for identifying the specific component from the manufacturer. www.national.com Panasonic HFQ Series 18 LM2679 Application Hints (Continued) Table 5. Schottky Diode Selection Table Reverse Voltage (V) 3A 20V SK32 30V SK33 Surface Mount 5A or More Through Hole 3A 5A or More 1N5820 SR302 MBRD835L 30WQ03F 40V 1N5821 31DQ03 SK34 MBRD1545CT 1N5822 30BQ040 6TQ045S 1N5825 MBR340 MBR745 30WQ04F 31DQ04 80SQ045 MBRS340 SR403 6TQ045 MBRD340 50V or More SK35 MBR350 30WQ05F 31DQ05 SR305 Diode Manufacturer Contact Numbers International Rectifier Motorola General Semiconductor Diodes, Inc. Phone (310) 322-3331 FAX (310) 322-3332 Phone (800) 521-6274 FAX (602) 244-6609 Phone (516) 847-3000 FAX (516) 847-3236 Phone (805) 446-4800 FAX (805) 446-4850 19 www.national.com LM2679 Application Hints (Continued) Table 6. Output Capacitors for Adjustable Output Voltage Applications Surface Mount Output Voltage (V) 1.21 to 2.50 2.5 to 3.75 3.75 to 5 5 to 6.25 6.25 to 7.5 7.5 to 10 10 to 12.5 12.5 to 15 15 to 20 20 to 30 30 to 37 www.national.com Inductance (H) AVX TPS Series Sprague 594D Series Kemet T495 Series No. C Code No. C Code No. C Code 33* 7 C1 6 C2 7 C3 47* 5 C1 4 C2 5 C3 33* 4 C1 3 C2 4 C3 47* 3 C1 2 C2 3 C3 22 4 C1 3 C2 4 C3 33 3 C1 2 C2 3 C3 47 2 C1 2 C2 2 C3 22 3 C2 3 C3 3 C4 33 2 C2 2 C3 2 C4 47 2 C2 2 C3 2 C4 68 1 C2 1 C3 1 C4 22 3 C2 1 C4 3 C4 33 2 C2 1 C3 2 C4 47 1 C3 1 C4 1 C6 68 1 C2 1 C3 1 C4 33 2 C5 1 C6 2 C8 47 1 C5 1 C6 2 C8 68 1 C5 1 C6 1 C8 100 1 C4 1 C5 1 C8 33 1 C5 1 C6 2 C8 47 1 C5 1 C6 2 C8 68 1 C5 1 C6 1 C8 100 1 C5 1 C6 1 C8 33 1 C6 1 C8 1 C8 47 1 C6 1 C8 1 C8 68 1 C6 1 C8 1 C8 100 1 C6 1 C8 1 C8 33 1 C8 1 C10 2 C10 47 1 C8 1 C9 2 C10 68 1 C8 1 C9 2 C10 100 1 C8 1 C9 1 C10 33 2 C9 2 C11 2 C11 47 1 C10 1 C12 1 C11 68 1 C9 1 C12 1 C11 100 1 C9 1 C12 1 C11 10 4 C13 8 C12 15 3 C13 5 C12 2 C13 4 C12 33 1 C13 3 C12 47 1 C13 2 C12 68 1 C13 2 C12 22 No Values Available 20 LM2679 Application Hints (Continued) Table 6. Output Capacitors for Adjustable Output Voltage Applications (continued) Through Hole Output Voltage (V) 1.21 to 2.50 2.5 to 3.75 3.75 to 5 5 to 6.25 6.25 to 7.5 7.5 to 10 10 to 12.5 12.5 to 15 15 to 20 Inductance (H) Sanyo OS-CON SA Series 30 to 37 Nichicon PL Series Panasonic HFQ Series No. C Code No. C Code No. C Code No. 33* 2 C3 5 C1 5 C3 3 C 47* 2 C2 4 C1 3 C3 2 C5 33* 1 C3 3 C1 3 C1 2 C5 47* 1 C2 2 C1 2 C3 1 C5 22 1 C3 3 C1 3 C1 2 C5 33 1 C2 2 C1 2 C1 1 C5 47 1 C2 2 C1 1 C3 1 C5 22 1 C5 2 C6 2 C3 2 C5 33 1 C4 1 C6 2 C1 1 C5 47 1 C4 1 C6 1 C3 1 C5 68 1 C4 1 C6 1 C1 1 C5 22 1 C5 1 C6 2 C1 1 C5 33 1 C4 1 C6 1 C3 1 C5 47 1 C4 1 C6 1 C1 1 C5 68 1 C4 1 C2 1 C1 1 C5 33 1 C7 1 C6 1 C14 1 C5 47 1 C7 1 C6 1 C14 1 C5 68 1 C7 1 C2 1 C14 1 C2 100 1 C7 1 C2 1 C14 1 C2 33 1 C7 1 C6 1 C14 1 C5 47 1 C7 1 C2 1 C14 1 C5 C Code 68 1 C7 1 C2 1 C9 1 C2 100 1 C7 1 C2 1 C9 1 C2 33 1 C9 1 C10 1 C15 1 C2 47 1 C9 1 C10 1 C15 1 C2 68 1 C9 1 C10 1 C15 1 C2 100 1 C9 1 C10 1 C15 1 C2 33 1 C10 1 C7 1 C15 1 C2 47 1 C10 1 C7 1 C15 1 C2 68 1 C10 1 C7 1 C15 1 C2 100 1 C10 1 C7 1 C15 1 C2 33 20 to 30 Sanyo MV-GX Series 1 C7 1 C16 1 C2 47 No Values 1 C7 1 C16 1 C2 68 Available 1 C7 1 C16 1 C2 100 1 C7 1 C16 1 C2 10 1 C12 1 C20 1 C10 15 1 C11 1 C20 1 C11 1 C11 1 C20 1 C10 22 No Values 33 Available 1 C11 1 C20 1 C10 47 1 C11 1 C20 1 C10 68 1 C11 1 C20 1 C10 * Set to a higher value for a practical design solution. See Applications Hints section No. represents the number of identical capacitor types to be connected in parallel C Code indicates the Capacitor Reference number in Table 2 for identifying the specific component from the manufacturer. 21 www.national.com LM2679 Application Hints details on mounting and soldering specifications, refer to Application Note AN-1187. (Continued) LLP Package Devices The LM2679 is offered in the 14 lead LLP surface mount package to allow for a significantly decreased footprint with equivalent power dissipation compared to the TO-263. For www.national.com 22 LM2679 Physical Dimensions inches (millimeters) unless otherwise noted TO-263 Surface Mount Power Package Order Number LM2679S-3.3, LM2679S-5.0, LM2679S-12 or LM2679S-ADJ NS Package Number TS7B 23 www.national.com LM2679 Physical Dimensions inches (millimeters) unless otherwise noted (Continued) TO-220 Power Package Order Number LM2679T-3.3, LM2679T-5.0, LM2679T-12 or LM2679T-ADJ NS Package Number TA07B www.national.com 24 inches (millimeters) unless otherwise noted (Continued) 14-Lead LLP Package NS Package Number LDC14A LIFE SUPPORT POLICY NATIONAL'S PRODUCTS ARE NOT AUTHORIZED FOR USE AS CRITICAL COMPONENTS IN LIFE SUPPORT DEVICES OR SYSTEMS WITHOUT THE EXPRESS WRITTEN APPROVAL OF THE PRESIDENT AND GENERAL COUNSEL OF NATIONAL SEMICONDUCTOR CORPORATION. As used herein: 1. Life support devices or systems are devices or systems which, (a) are intended for surgical implant into the body, or (b) support or sustain life, and whose failure to perform when properly used in accordance with instructions for use provided in the labeling, can be reasonably expected to result in a significant injury to the user. National Semiconductor Corporation Americas Email: support@nsc.com www.national.com National Semiconductor Europe Fax: +49 (0) 180-530 85 86 Email: europe.support@nsc.com Deutsch Tel: +49 (0) 69 9508 6208 English Tel: +44 (0) 870 24 0 2171 Francais Tel: +33 (0) 1 41 91 8790 2. A critical component is any component of a life support device or system whose failure to perform can be reasonably expected to cause the failure of the life support device or system, or to affect its safety or effectiveness. National Semiconductor Asia Pacific Customer Response Group Tel: 65-2544466 Fax: 65-2504466 Email: ap.support@nsc.com National Semiconductor Japan Ltd. Tel: 81-3-5639-7560 Fax: 81-3-5639-7507 National does not assume any responsibility for use of any circuitry described, no circuit patent licenses are implied and National reserves the right at any time without notice to change said circuitry and specifications. LM2679 SIMPLE SWITCHER 5A Step-Down Voltage Regulator with Adjustable Current Limit Physical Dimensions