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january 2013 doc id 024010 rev 1 1/22 AN4217 application note designing the spv1020 with serial and parallel output configurations by massimiliano santo antonino ragusa introduction the steval-isv008v1 and steval-isv018v1 demonstration boards are based on stmicroelectronics? photovoltaic pro ducts spv1020, spv1001 n30 and spv1001n40. these boards are designed for innovative distributed pv panels and their size is suitable for most junction boxes available on the market. each pcb uses three of the spv1020 solar boost mppt regulators, whose outputs can be connected in parallel (steval-isv008v1) or in series (steval-isv018v1). details on the spv1020 device can be found in the product?s datashee t, and in application note an3392, both available at www.st.com . the spv1001n30 is used as a high efficiency bypass device between the input and output. it automatically turns on when the spv1020 is off due to an input voltage lower than its uvlo. the spv1001n40 is used as a high efficiency bypass device at the output stage of each spv1020. it automatically turns on when the spv1020 is off, offering a low impedance path from v out- to the output rail v out+ , as shown in figure 5. www.st.com
output parallel and series (bottom and top view) connections AN4217 2/22 doc id 024010 rev 1 1 output parallel and series (bottom and top view) connections figure 1. steval-isv008v1 (output parallel connection) bottom view figure 2. steval-isv008v1 (output parallel connection) top view figure 3. steval-isv018v1 (output series connection) bottom view figure 4. steval-isv018v1 (output series connection) top view AN4217 connections doc id 024010 rev 1 3/22 2 connections 2.1 input and output connection example the following figure shows how to connect steval-isv0x8v1 to a distributed photovoltaic panel and load. please note that although the illustration belo w refers to the stev al-isv008v1, the input and output connections are the same for the steval-isv018v1. figure 5. steval-isv008v1 input and output connection example 3 9 s d q h o 6 7 ( 9 $ / , 6 9 9 6 3 9 d q g 6 3 9 1 1 d w w k u e r w w r p v l g h steval-isv0x8v1 parallel and series connection AN4217 4/22 doc id 024010 rev 1 3 steval-isv0x8v1 parallel and series connection the output pins of differen t spv1020 devices can be connec ted both in parallel and in series. in both cases, the output power (p out ) will depend on light irra diation of each panel (p in ), application efficiency and by the specific constraints of the selected topology. the objective of this section is to show how the output power is impacted by the selected topology. examples with three pv panels are presented and the results can be extended to a larger number of pv panels. when the spv1020 is on (light irradiation generating v in 6.5 v) equation 1 when the spv1020 is off, system efficiency will depend upon the drop of the bypass diodes (d1, d10, d12, as shown in th e steval-isv0x8v1 schematics see figure 17 and figure 18 ): equation 2 in the case of panel completely shaded: equation 3 3.0.1 steval-isv008v1 parallel connection this topology guarantees the desired output voltage even if only one of the panels is irradiated. output voltage of the steval-i sv008v1 is limited to the spv1020 maximum output voltage, which is 40 v. figure 5 and 6 show details of the parallel connection topology: p inx p outx = ] 3 .. 1 [ = x p inx p outx bp = ] 3 .. 1 [ = x 0 = p out x figure 6. steval-i sv008v1, panel connections for output parallel connection figure 7. steval-isv008v1, component configuration for output parallel connection AN4217 steval-isv0x8v1 parallel and series connection doc id 024010 rev 1 5/22 the output partitioning (r3/r4, r9/r10, r16/r17 in the steval-isv0x8v1 schematic) of each of the three spv1020 devices must be in accordance with the desired v out . according to the topology: equation 4 according to the light irradiation on each panel (p in ) and to the system efficiency ( ), output power is: equation 5 therefore: equation 6 each spv1020 contributes to th e output power providing i outx according to the irradiation of its panel. moreover, the desired v out is guaranteed if at least one of the three pv panels provides enough voltage to turn on the related spv1020. figure 8 shows the power conversion efficiency when v mpp = 12 v and i mpp ranges from 1 a to 8 a (in steps of 1 a). power ranges between 36 w and 288 w. 3 2 1 v out v out v out v out = = = 3 2 1 i out i out i out i out + + = 3 2 1 p out p out p out p out + + = i out x v out x p out x * = ] 3 .. 1 [ = x i in x v i nx p inx * = ] 3 .. 1 [ = x 3 2 1 ) 3 2 1 ( p in p in p in i out i out i out v out p out + + = + + = steval-isv0x8v1 parallel and series connection AN4217 6/22 doc id 024010 rev 1 figure 8. power efficiency versus output voltage figure 9 shows the mppt efficiency (*) when v mpp = 12 v and i mpp ranges from 1 a to 8 a (in steps of 1a). power ranges between 36 w and 288 w. (*) mppt efficiency = p in /p max ; p in is the power measured at the input stage of the pcb; p max is the maximum power the pv panel can provide. figure 9. mppt efficiency versus output voltage AN4217 steval-isv0x8v1 parallel and series connection doc id 024010 rev 1 7/22 3.0.2 steval-isv018v1 series connection this topology provides an output voltage that is the sum of the output voltages of each spv1020 connected in series. the following in formation shows how the output power is determined by the output series connection. figure 10 shows a detail of the series connection topology: in this case, the topology constraint implies: equation 7 in the case where the irradiation is the same for each panel: equation 8 so equation 9 for example, assuming, p out = 90 w and, if desired v out = 90 v then v outx = 30 v lower irradiation for one panel, for example on panel 2, causes lower output power, so lower v out2 due to the i out constraint: figure 10. steval-isv018v1, panel connections for output series connection figure 11. steval-isv018v1, components configuration for output series connection 3 2 1 i out i out i out i out = = = 3 2 1 v out v out v out v out + + = 3 2 1 p i n p i n p in = = p out x p out * 3 = ] 3 .. 1 [ = x p out p outx 3 1 = i out v out i out x v out x p out x * 1 * = = v out v outx 3 1 = steval-isv0x8v1 parallel and series connection AN4217 8/22 doc id 024010 rev 1 equation 10 the output voltage (v out ) required by the load can be supplied by the first and third spv1020 but only up to the limit imposed by their output voltage resistor partitioning (r3/r4, r9/r10, r16/r17 in the steval-isv0x8v1 schematics). these examples show various scenarios as shown in the steval-isv0x8v1 schematics. assuming the following c onditions: r3/r4 limits v outx to 40 v and the desired v out = 90 v. example 1: panel 2 has 75% of the irradiation of panels 1 and 3: equation 11 two of the spv1020 devices (first and third) supply most of the voltage output due to lower irradiation on panel 2. note: spv1020 is a boost controller, so v outx must be higher than v inx , otherwise the spv1020 turns off and the input power is transferred to the output stage trough bypass diodes (d1, d10 or d12). example 2: panel 2 has 25% of the irradiation of panels 1 and 3: i out p out x v out x = 3 * 4 3 1 * 4 3 2 v out v out v out = = w p out p out 30 2 1 = = w p in p out 5 . 22 1 4 3 2 = = w p out p out p out p out 5 . 82 3 2 1 = + + = a v out p out i out 92 . 0 90 5 . 82 = = = v v out v out 6 . 32 92 . 0 30 3 1 = = = AN4217 steval-isv0x8v1 parallel and series connection doc id 024010 rev 1 9/22 equation 12 in this case the system is at its limit. a lower irradiation will impact v out1 and/or v out3 which are already at the limit (40 v) imposed by r3/r4 partitioning. example 3: panel 2 is completely shaded. in this case, the maximum v out available is 80 v (v out1 +v out3 ). on the steval-isv018v1 application board, bypass diode (d4) around the second spv1020 allows i out to flow. figure 12 shows power conversion efficiency when v mpp = 12 v and i mpp ranges from 1 a to 8 a (in steps of 1 a). power ranges between 36 w and 288 w. 3 0 40 0.75 v o u t1 = v = v v o u t 10 75 . 0 5 . 7 2 = = v o u t 3 = 3 * 4 1 1 * 4 1 2 v out v out v out = = w p out p out 30 2 1 = = w p in p out 5 . 7 1 4 1 2 = = w p out p out p out p out 5 . 67 3 2 1 = + + = a v out p out i out 75 . 0 90 5 . 67 = = = steval-isv0x8v1 parallel and series connection AN4217 10/22 doc id 024010 rev 1 figure 12. power efficiency versus output voltage figure 13. mppt efficiency versus output voltage figure 12 shows mppt efficiency when v mpp = 12 v and i mpp ranges from 1 a to 8 a (in steps of 1 a). power ranges between 36 w and 288 w. in both cases all the three strings have the same input power. figure 14 shows the output current versus input current when the input power to each string is different. the configurations are: AN4217 steval-isv0x8v1 parallel and series connection doc id 024010 rev 1 11/22 figure 14. output current vs input current table 1. v in = 12 v, v out = 80 v istring1 istring2 istring3 444 664 884 2 x w s x w & |