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september 2013 docid023949 rev 2 1/19 AN4209 application note design methodology for repeti tive voltage suppressors (rvs) in repetitive mode: strvs introduction the silicon transient voltage suppressor (tvs) device such as the transil? was initially specified with a power surge ca pability to respond to industrial standard test conditions, especially against high-energy single tran sient voltages. today, many components in switched mode power supplies are continuously subjected to very short transient voltages. little data is given in tvs specifications re garding the repetitive mode operation. therefore, it is not easy for the designer to accurately assess the clamping voltage and power losses under these conditions. this application note introduces the new re petitive voltag e suppressor st rvsx features, specifically adapted to the repetitive mode operation. a design guideline is presented and selection processes are described. www.st.com
contents AN4209 2/19 docid023949 rev 2 contents 1 strvs parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1 electrical parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.1 simplified electrical model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 thermal parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2.1 steady state parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2.2 transient parameter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2 general design procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.1 key rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11 2.2 transil selection process . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11 2.2.1 step 1: strvs pre-selection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.2.2 step 2: clamping voltage assessment . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.2.3 step 3: dissipated power calculation . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.2.4 step 4: in-situ test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.3 transil selection flowchart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3 design example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3.1 strvs preselection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3.2 clamping voltage assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3.3 dissipated power calculation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.3.1 power losses calculation: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.3.2 peak and average junction temperature calculation: . . . . . . . . . . . . . . . 16 3.4 in-situ verification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 4 conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 5 revision history . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
docid023949 rev 2 3/19 AN4209 strvs parameters 1 strvs parameters this section defines the electrical and thermal characteristics of the strvs. 1.1 electrical parameters figure 1. typical reverse characteristic v r = (i r ) of an strvs device figure 1 shows the typical reverse characteristic given at two temperatures of an strvs device. stand-off voltage (v rm ) the stand-off voltage is specified for i = i rm = 1 a and t j = 25 c. under these conditions, the device is still acting as an open circuit. th is parameter is one of the key parameters in circuit protection. breakdown voltage (v br ) the breakdown voltage corresponds to the voltage from which the strvs starts to go into the avalanche region. this parameter is specified for i = i br = 1 ma and t j = 25 c. the v br parameter follows a linear variation with junction temperature as shown in equation 1 . equation 1 where t ref = reference temperature expressed in c, generally given at 25 c and ? t = temperature coefficient in 1/c. i(a) v(v) 0 t j2 >t j1 t j1 = 25c i br (25c)- 1ma i rm (25c)- 1a i pp (25c) v cl (25c ) v rm (25c ) v br (25c ) ( ) ) t (t 1 ) (t v ) (t v ref j t ref br j br - + =
strvs parameters AN4209 4/19 docid023949 rev 2 clamping voltage (v cl ) the clamping voltage is the total voltage acro ss the strvs over the peak pulse current i pp at a given temperature. a range of typical values provides the characteristics of the clamping voltage for given values of peak current (i pp ), and three controlled junction temperatures: 25 c, 85 c and 125 c. all curves start from v cl (1 ma) = v brmax . figure 2 illustrates v cl curves of an strvs185x02b. these cu rves are useful for verifying the suitability of the allowable clam ping voltage in application. figure 2. clamping voltage characteristic over temperatures of an strvs185x02b 1.1.1 simplified electrical model a linear model can be employed to approximate the v cl = f (i pp ) characteristics of the strvs. a straight line is used to approxim ate the actual curve inside the working area imposed by the application conditions (see figure 3 ). the line intersects the horizontal axis at the voltage v cl0 . the slope of the line is inversely proportional to the dynamic resistance r d . the equivalent circuit that models this equation is shown in figure 4 . 0.0 1.0 2.0 3.0 4.0 5.0 155 160 165 170 175 180 185 190 195 v cl (v) i(a) t j =25c t j =85c t j =125c v brmax 25c v brmax 85c v brmax 125c 1m
docid023949 rev 2 5/19 AN4209 strvs parameters figure 3. simplified characteristics of an strvs device figure 4. simplified electrical model of an strvs device a simple rule to calculate r d and v cl0 is to use i pp2 =i peak of the application and i pp1 =i pp2 /2 the clamping voltage is defined in equation 2 . equation 2 i (a) v(v) i pp1 operating region i pp2 1/r d (i pp1 ;i pp2 ;t j ) v cl0 (t j ) v br( t j ) v cl1 (i cl1 ;t j ) v cl2 (i cl2 ;t j ) k i pp v cl a v cl0 (i pp1 ;i pp2 ;t j ) i pp v cl (i pp ;t j ) r d (i pp1 ;i pp2 ;t j ) pp j pp pp d j pp pp cl j cl pp i t i i r t i i v t i v + =) ; ; ( ) ; ; ( ) ; ( 2 1 2 1 0
strvs parameters AN4209 6/19 docid023949 rev 2 r d can be calculated as shown in equation 3 . equation 3 v cl0 is shown in equation 4 equation 4 this model will be useful to assess th e power dissipation of the device. 1.2 thermal parameters 1.2.1 steady state parameters thermal resistance (r th(j-ref) ) the thermal resistance r epresents the package's dissipatio n capability from the junction (active die surface) to a specified reference point (case, lead, board, ambient, etc?). its value is defined as the temperature difference between two specified points, divided by the dissipated power under the rmal equilibrium conditions. equation 5 where: the previous equation can be easily rework ed to estimate the junction temperature in steady mode operation as shown in equation 6 . equation 6 in strvsx specifications, the junction-to-lead (r th(j-l) ) and junction-to-ambient (r th(j-a) ) thermal resistances are commonly provided to help designers. these parameters are determined under standard test conditions wit h specific board dimensions and layers in compliance with the jedec standard. table 1 shows typical thermal resist ances for available packages. 1 2 1 1 2 2 2 1 ) ; ( ) ; ( ) ; ; ( pp pp j pp cl j pp cl j pp pp d i i t i v t i v t i i r - - = 1 2 1 1 1 2 1 0 ) ; ; ( ) ; ( ) ; ; ( pp j pp pp d j pp cl j pp pp cl i t i i r t i v t i i v - = r th(j-ref) junction-to-reference thermal resistance expressed in c/w p d average dissipated power of the die, expressed in w t j junction temperature of the die expressed in c t ref temperature of the reference point expressed in c d f j f j th p t t r re ) re ( - = - f d f j th j t p r t re ) re ( + = -
docid023949 rev 2 7/19 AN4209 strvs parameters junction-to-ambient thermal resistance (r th(j-a) ) the thermal resistance r th(j-a) is the heat dissipation capabilit y from the junction surface of the die to the ambient, via all paths. its value is strongly dependent on the type of board, the copper plane underneath the device, the neighboring components interacting through the pcb, and the mounting and cooling methods (free or forced airflow). actual performance of the product in real applic ations may be different. values provided in datasheet are typical values and should be used with some measure of caution. it is useful for comparing the thermal performance of one package to another as shown in table 1 . therefore, this information may be used for the first pass of junction temperature calculation. the thermal resistance r th(j-a) value with minimum footprint is recommended when the user starts a design calculation. figure 5 shows the r th(j-a) dependency of a smb package over copper plane area. figure 5. junction-to-ambient thermal resistance over copper plane area of smb package junction-to-lead thermal resistance (r th(j-l) ) the thermal resistance r th(j-l) is the heat dissipation capabilit y from the junction surface of the die to the package lead. this parameter is useful for estimating the junction temperature from a measurement of the lead temperatur e. the designer can determine the lead temperature of the device under application co nditions with a fine gauge thermocouple or table 1. typical package performance comparison for minimum footprint and 35 m copper thickness on board thermal resistance package unit do-15 do-201 smb smc junction-to-lead, r th(j-l) 35 23 13 12 c/w junction-to-ambient r th(j-a) 105 100 185 150 c/w 0 20 40 60 80 100 120 140 160 180 200 012345678910 r th(j-a) (c/w) copper surface (cm 2 )
strvs parameters AN4209 8/19 docid023949 rev 2 infrared camera and calculate the junction temperature using equation 6 . the lead is the most interesting reference point to evaluate accurately the average operating junction temperature t javg . the thermal resistance value r th(j-l) depends only on the package proprieties unlike r th(j-a) . 1.2.2 transient parameter transient thermal impedance (z th(j-ref) (t p )) the transient thermal impedance z th(j-ref) (t p ) is the temporary variation of thermal resistance from an input power step function up to reaching a stable value as defined equation 7 . equation 7 transient thermal impedance can be calculated using equation 8 . equation 8 where: junction to ambient, z th(j-a) and junction to lead, z th(j-l) transient thermal impedance curves are provided in the datasheet. however z th(j-l) should be preferred to evaluate the peak junction temperature to get a better assessment. thus from equation 8 , the dynamic change in temperature over the time can be determined using equation 9 the transient thermal impedance diagram provid es a quick and simple method to estimate the rise of junction temperature under transient conditions. figure 6 below illustrates transient thermal impedance diagrams of the smb package. note that thermal impedances increase until they reach their asymptotic lim it corresponding to their thermal resistance r th(j-l) and r th(j-a) . z th(j-ref) junction to reference transient thermal impedance expressed in c/w. t p pulse duration of the step power expressed in s. p step step power function applied to the die expressed in w. t j(tp) junction temperature over the time width, expressed in c. t ref temperature of the reference point expressed in c. lim tp 8 z th(j-ref) (tp) = r th(j-ref) step f p j p th p t t t t z f j re ) ( ) ( ) re ( - = - l p l j th step p j t t z p t t+ = - ) ( ) ( ) (
docid023949 rev 2 9/19 AN4209 strvs parameters figure 6. thermal impedance variation of smb package versus the pulse duration when the strvs works under repetitive mode operation, the peak junction temperature t jpeak must be below absolute rating t jmax specified in the datasheet. for an infinite pulse train case, t jpeak is expressed as shown in equation 10 : equation 10 note: the background average power p d has been subtracted, to avoid counting this effect twice in calculating temperature rise. in power conversion applications, two main cases occur. the time constants of the transient thermal impedance ? thermal must be considered regarding the switching period t sw in the application. figure 7 illustrates the impact of operating frequency on the ripple temperature. the time constant of a thermal system is de pendent on its transi ent thermal impedance curve. a sufficient estimation of thermal cons tant can be easily made from the simple rc thermal model representing the z th(j-ref) curve. equation 11 equation 12 equation 12 applied to figure 6 for an application working switching period t sw , around 10 s, gives t au much greater than t sw due to the low value of z th(@ 10 s) before the r th value. in this case the junction temperat ure rises and falls with a negligible dynamic temperature ? t j near t javg as shown in figure 7 . since t jpeak ? t javg , only the average junction temper ature evaluation is needed using equation 6 . notice that this case represents 90% of switch mode power supply applications (f sw > 20 khz). under these conditions, pulse widths are generally in the range of some tens to hundreds of nanoseconds and pulses ma y be viewed as a short block of constant power p step , sustaining the junction temperature. 0.001 0.01 0.1 1 10 100 1000 0.000001 0.00001 0.0001 0.001 0.01 0.1 1 10 100 1000 10000 c/w t p (s) z th(j-a) z th(j-l) recommended pad layout printed circuit board fr4, copper thickness = 35 m l p l j th d step l j th d p peak j t t z p p r p t t+ - + = - - ) ( ) ( ) ( ) ( ) ( z th(j-ref) (t) = r th(j-ref) (1 - e (-t/t au ) ) t au = -t(ln(1-z th (t)/r th )
strvs parameters AN4209 10/19 docid023949 rev 2 when t sw is not negligible regarding the ? thermal of the device ( figure 7 ), average temperature verification is not enough to ensure that the junction temperature of the die remains within specifications . consequently, the instantaneous peak junction temperature t jpeak must be verified using equation 10 figure 7. switching frequency effect on the junction temperature variation in repetitive mode. t t jpeak t javg p(t) t j (t) t p t sw p peak p d t t j t p = pulse width t sw = switching period t jmax t t javg t p p d t t jmax t sw p peak p step t jpeak t j (t) p(t) ? t j t sw << thermal t sw >> thermal p step
docid023949 rev 2 11/19 AN4209 general design procedure 2 general design procedure this section presents general design guidelines. figure 8 shows a simplified schematic where an strvs device is inserted between t he noisy source and the vulnerable device to protect it against repetitive transient surges. figure 8. basic strvs protection circuit 2.1 key rules to ensure that absolute ratings are not exceeded, designers have to evaluate the worst case conditions in the applicat ion to select the suitable device. the three criteria shown in table 2 are required: 2.2 transil selection process this proposed methodology is based on a systematic approach to match the general case study. the device selection uses a recursive process. steps are described below: v cl i pp noisy source t v cl device under test v surge v operationmax v surge v p max i pp protection table 2. basic design criteria criteria application conditions device parameter 1 be invisible under operating voltage (standby). leakage current should have no effect on normal circuit performance maximum operating voltage, v operationmax stand-off voltage v operationmax < v rm 2 protect device against repetitive electrical overstress by instantly clamping spike voltages to a nondestructive level. voltage protection, v pmax clamping voltage v cltyp (i ppmax ;125 c) < v pmax 3 maintain the junction temperature within specifications to guarantee a high reliability. this point must be obeyed in transient and steady state working mode. repetitive current, i ppmax power dissipation, t j < t jmax
general design procedure AN4209 12/19 docid023949 rev 2 2.2.1 step 1: strvs preselection in the absence of transient voltages, the str vs should act as an open circuit and should have no effect on normal circuit performance (criteria 1 in table 2 ). the preselection begins with v rm parameters where the leakage current will not exceed 1 a @ 25 c when v operationmax is applied. then, all strvs having a v br > v pmax can be removed from consideration to ensure the circuit protection (criteria 2 table 2 ). note that v pmax represents the admissible clamping voltage which includes a safety margin generally 15% below the absolute rating of the end-component to protect. at this time, several strvs may cover both criteria 1 and criter ia 2. in the first pass using the highest rated voltage available is recomme nded. this generally minimizes the standby consumption and power dissipation. the smallest package available is primarily chos en to optimize the solution from the thermal point of view with minimum loop numbers. 2.2.2 step 2: clamping voltage assessment the designer has to check the clamping voltage v cltyp (i ppmax ;125c) (criteria 2 table 2 ) by using curves provided in the datasheet. this point has to be verified in the worst case application and thus the current i ppmax flowing though the device must be identified. under steady state operation, we recommend that designers should ensure that t jpeak should not exceed 125 c. this step requires a current measurement because the strvs current is generally unknown. if so, it is recommended the designer starts the evaluation with the highest pre-selected rated voltage and with the biggest package available to avoid a thermal failure. when the peak current can be predicted or simulated, the clamping voltage can be directly calculated. while the v cltyp (i ppmax ;125 c) > v pmax is true (criteria 2 table 2 ), the rated voltage is decreased by recursion until the lowest pre-selected strvs can be identified at a cost of a higher power dissipation and quie scent current consumption. 2.2.3 step 3: dissipated power calculation power dissipation assessment is requested to evaluate the maximum and average junction temperature of the device. power di ssipation is performed with the v cltyp characteristic given at 125c overestimating losses. by using equation 6 and/or equation 10 , operating junction temper ature of the device can be computed. in case of t jpeak < 125c, the result corresponds to the smallest package solution compatible with design rules. otherwise, the user should return to step 1 or 2 to go over the available electrical characteristics and package performances of the device. when dissipated power is too high, a second option is to use strvs in serial configuration in order to spread the heat flow between packages. 2.2.4 step 4: in-situ test in the last step, we recommend checking the application to ensure that all criteria are respected with the final selected device. this step requires a current waveform and lead temperature measurement to calculate the actual junction temperature and the clamping voltage.
docid023949 rev 2 13/19 AN4209 general design procedure 2.3 transil selection flowchart figure 9 summarizes the selection procedure: figure 9. device sel ection process overview use bigger package use bigger package application conditions : v operationmax ;v pmax ;t ambmax application conditions : v operationmax ;v pmax ;t ambmax design safe design safe no power losses calculation t j evaluation power losses calculation t j evaluation v rm (25c) > v operationmax v br (25c) < v pmax v rm (25c) > v operationmax v br (25c) < v pmax tj < 125c v cltyp (i ppmax ;125c) < v pmax select the highest rated voltage to reduce both transil power dissipation & quiescent current.. select the highest rated voltage to reduce both transil power dissipation & quiescent current.. decrease the voltage rating check if 3 criteria are respected with the ?nal device in practice. check if 3 criteria are respected with the ?nal device in practice. select the smallest package available. select the smallest package available. no yes requested measurements i pp v cltyp t lead < 125c t jpeak yes experimental theoretical v operationmax maximum operating voltage across the device in standby mode (negligible leakage current consumption). v pmax maximum clamping voltage to not exceed i n application. v cltyp (i ppmax ; 125c) typical clamping voltage versus peak current ?owing though the device and its operating junction.
design example AN4209 14/19 docid023949 rev 2 3 design example the case study corresponds to protection of a mosfet device. because of stray inductance in series with the power switch st p50nf25, fast transient over voltages appear across it at each switching period. a strvs devic e is therefore inserted in parallel to protect the switch. applications conditions are shown in table 3 : 3.1 strvs pre-selection considering a safety margin of 15% v pmax is given by equation 13 . equation 13 considering the criteria 1 and 2, several strvs can be pre-selected as shown in table 4 3.2 clamping voltage assessment since the application requires a surface mo unt package (smd) protection, strvs185x02b is primarily selected. based on the methodology, the current w ill be sensed in application with a do-15 package to minimize the thermal issue. current and voltage waveforms across the device are shown below during the clamping time. table 3. worst case application conditions (maximum values) v operationmax f sw i pp t ambmax v dss package 120 v 100 khz unknown 50 c 250 v smd table 4. possible pre-selected devices order code v rmmax @ [1 a, 25 c] v brmax @ [1 ma, 25 c] ? tmax @ [1 ma] package strvs182x02f/c 128 v 158 v 10.810 -4 /c do-201/smc strvs185x02b/e 128 v 158 v 10.810 -4 /c smb/do-15 strvs222x02f 154 v 189 v 10.810 -4 /c do-201 strvs225x02e 154 v 189 v 10.810 -4 /c do-15 v v v dss p 212 85 . 0 max = =
docid023949 rev 2 15/19 AN4209 design example figure 10. current and voltage waveforms across the strvs185x02b. let?s verify with the current measurement and device features that: v cltyp (500 ma;125c) < v pmax. from figure 11 ,v cltyp (500 ma;125c) ? 181 v figure 11. clamping voltage characteristics of strvs185x02b provided in datasheet. since v cltyp (500 ma;125c) < v pmax , strvs185x02b could be selected. v pmax v operationmax 120v 180v 212v 0a, 0v v cl 250v v dss 15% of safety margin v cltyp given in datasheet (500ma ; 125 c) 200ma/div 30v/div 50ns/div t p = 75ns i clpeak = 500ma i cl p step v pmax v operationmax 120v 180v 212v 0a, 0v v cl 250v v dss 15% of safety margin v cltyp given in datasheet (500ma ; 125 c) 200ma/div 30v/div 50ns/div t p = 75ns i ppmax = 500ma i pp p step 0.0 0.4 0.8 1.2 1.6 2.0 170 175 180 185 190 125 c v cl0 = 178 v r d =5 [0.5a; 180.5 v] v cltyp (v) i pp (a)
design example AN4209 16/19 docid023949 rev 2 3.3 dissipated power calculation let?s verify that t jpeak < 125 c, and v cltyp (500 ma; t javg ) < v pmax . 3.3.1 power losses calculation: the curve is fitted in operating region to find r d , v cl0 (see figure 11 ): from equation 4 , r d equals: from equation 5 , v cl0 is calculated as: the dissipated power during the cl amping time is now calculated: the average power dissipation p d is calculated: 3.3.2 peak and average junc tion temperature calculation: considering the low ? t j , due to the low value of t sw , before the thermal cst time ? thermal of the device (see section 1.2.2 ), the peak and average junction temperature are considered identical: from equation 5 , t jpeak equals: v cltyp (i ppmax ; 112c) < v cltyp (i ppmax ; 125c) < v pmax , strvs185x02b is selected. the power switch and strvs should be both safe. 3.4 in-situ verification the designer verifies all criteria with the final protection device. due to neighboring components sharing the same pcb layout in the system, t jpeak can be estimated more accurately with thermal measurement done from the lead. table 5 presents measurements results obtained with strvs. = = 5 ) 125 ; 600 ; 400 ( d d r c ma ma r v v c ma ma v cl cl 178 ) 125 ; 600 ; 400 ( 0 0 = = w p r i v i p dt t i t v t p step d ppmax cl ppmax step t pp cl p step p 9 . 44 6 ) 2 3 ( ) ( ) ( 1 0 0 = + = = w p p f t p d step sw p d 34 . 0 = = c t t p r t peak peak j amb d a j th j = + = - 112 max ) ( table 5. sample measurements i pppeak t p t j 600 ma 65 ns 116 c
docid023949 rev 2 17/19 AN4209 conclusion using the measurements from table 5 : the component matches the application requirements. 4 conclusion this application note has presented design guidelines for the new protection device family strvs dedicated to the repetitive operation mode. the design procedure proposed by stmicroele ctronics serves as basis of a quick and efficient design process to offer better protection . note that this methodology is flexible and can fit a wide range the application requirements (such as safety margin, allowable t jpeak values?). ) 125 ; ( ) 121 ; ( 121 351 . 0 54 ) ( c i v c i v c t p r t w p w p ppmax cl ppmax typ cl l d l j th peak j d step < = + = = = -
revision history AN4209 18/19 docid023949 rev 2 5 revision history table 6. document revision history date revision changes 04-mar-2013 1 initial release. 05-sep-2013 2 updated figure 1 .
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