Application Report SPRABR4A – July 2013 PV Inverter Design Using Solar Explorer Kit Manish Bhardwaj and Bharathi Subharmanya .................................... C2000 Systems and Applications Team ABSTRACT This application report goes over the solar explorer kit hardware and explains control design of Photo Voltaic (PV) inverter using the kit. 1 2 3 4 5 6 7 Contents Introduction .................................................................................................................. 2 Getting Familiar With the Kit ............................................................................................... 3 Power Stages on the Kit ................................................................................................... 5 PV Systems Using Solar Explorer Kit ................................................................................... 20 Hardware Details .......................................................................................................... 23 Software .................................................................................................................... 26 References ................................................................................................................. 34 List of Figures 1 TMDSSOLAR(P/C)EXPKIT ................................................................................................ 2 2 Solar Explorer Kit Overview ............................................................................................... 4 3 Macro Block on Solar Explorer Kit ........................................................................................ 6 4 Boost DC-DC Single Phase With MPPT Power Stage ................................................................ Boost With MPPT Control Diagram....................................................................................... DC-DC Battery Charging Sepic Power Stage ........................................................................... Battery Charging With MPPT Control Diagram ........................................................................ Single Phase Full Bridge Inverter Power Stage ....................................................................... Modulation Scheme ....................................................................................................... Primary Current ............................................................................................................ Shorting the Grid .......................................................................................................... Synchronous Buck Boost ................................................................................................. Gain Curve ................................................................................................................. Switching Diagram Using C2000 PWM................................................................................. Light Sensor Panel ........................................................................................................ Curves of the PV Emulator Table ....................................................................................... DC Link Capacitor and Ripple on the DC Bus ......................................................................... DC-DC PV Street Lighting ................................................................................................ Control of PV Street Light With Battery Charging ..................................................................... PV Grid Tied Inverter ..................................................................................................... Control of PV Grid Tied Inverter ......................................................................................... PV Off Grid Inverter System ............................................................................................. 7 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 8 8 10 10 12 13 13 14 15 15 16 17 19 20 21 21 22 22 Solar Explorer Kit Block Diagram With C2000 MCU (connectivity peripherals can differ from one device to the other including Ethernet, USB, CAN, SPI, and so forth) ...................................................... 24 Solar Explorer Jumpers and Connectors ............................................................................... 25 C2000, Piccolo, Concerto are trademarks of Texas Instruments. All other trademarks are the property of their respective owners. SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 1 Introduction www.ti.com 25 PV Inverter Software Structure (i) Main Loop (ii) Inverter Stage ISR (iii) DCDC Boost Stage ISR ............. 27 26 DC-DC 1ph Boost With MPPT Software Diagram 28 27 Closed Loop Current Control for DC-AC With Grid Connection 29 28 29 ................................................................... .................................................... Timing Diagram for Boost and Inverter Integration ................................................................... Full Control Scheme for the PV Inverter................................................................................ 31 33 List of Tables 1 1 PV Emulator Table ........................................................................................................ 2 Resource Mapping: PWM, ADC, GPIO, Comms ...................................................................... 23 3 Jumpers and Connectors on Solar Explorer Board ................................................................... 25 17 Introduction The solar explorer kit, TMDSSOLAR(P/C)EXPKIT, (see Figure 1) provides a flexible and low voltage platform to evaluate the C2000™ microcontroller family of devices for a variety of PV and solar power applications. The kit is available through the TI e-store (http://www.ti.com/tool/tmdssolarpexpkit). Figure 1. TMDSSOLAR(P/C)EXPKIT 2 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Getting Familiar With the Kit www.ti.com WARNING This EVM is meant to be operated in a lab environment only and is not considered by TI to be a finished end-product fit for general consumer use. This EVM must be used only by qualified engineers and technicians familiar with risks associated with handling high voltage electrical and mechanical components, systems and subsystems. This equipment operates at voltages and currents that can result in electrical shock, fire hazard and personal injury if not properly handled or applied. Equipment must be used with necessary caution and safeguards employed to avoid personal injury or property damage. appropriate It is your responsibility to confirm that the voltages and isolation requirements are identified and understood, prior to energizing the board and or simulation. When energized, the EVM or components connected to the EVM should not be touched. 2 Getting Familiar With the Kit 2.1 Kit Contents The kit follows the controlCARD concept and any device from the C2000 family with the DIMM100 controlCARD can be used with the kit. The kit is available with two part numbers: TMDSSOLARPEXPKIT and TMDSSOLARCEXPKIT. The TMDSSOLARPEXPKIT ships with the F28035 MCU controlCARD, which is part of the Piccolo™ family in the C2000 MCU product line and TMDSSOLARCEXPKIT ships with the F28M35x controlCARD, which is part of the Concerto™ family. Concerto devices are heterogeneous dual core devices, where one, C28x Core, handles the control of the power stage and the other core (ARM core) handles the communication such as USB, Ethernet. The kit consists of: • F28M3H52C controlCARD (TMDSSOLARCEXPKIT) • F28035 controlCARD (TMDSSOLARPEXPKIT) • Solar Explorer Baseboard • 20 V 2 Amps Power Supply • Banana Plug Cords (installed on the board) • 50W 24Vac Light Bulb • USB-B to A Cable • USB mini to A Cable The controlCARDs are pre-flashed to run with the respective graphical user interface (GUI) for a quick demo. All of the software projects are available for the kit through controlSUITE. SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 3 Getting Familiar With the Kit 2.2 www.ti.com Kit Overview The solar panel or PhotoVoltaic (PV) panel, as it is more commonly called, is a DC source with a nonlinear V vs I characteristics. A variety of power topologies are used to condition power from the PV source so that it can be used in variety of applications such as to feed power into the grid (PV inverter) and charge batteries. The Texas Instruments C2000 microcontroller family, with its enhanced peripheral set and optimized CPU core for control tasks, is ideal for these power conversion applications. The solar explorer kit shown in Figure 2 has different power stages that can enable the kit to be used in a variety of these solar power applications. The input to the solar explorer kit is a 20 V DC power supply that powers the controller and the supporting circuitry. A 50W solar panel can be connected to the board (typical values Vmpp 17V, Pmax 50W). However, for quick demonstration of the power processing from the solar panel, a PV emulator power stage is integrated on the board along with other stages that are needed to process power from the panel. Using a Piccolo-A device integrated on the board lessens the burden of the controller used to control the solar power conditioning circuit control of the PV panel. Thus, the board uses two C2000 controllers, a dedicated Piccolo-A device is present on the baseboard and used to control the PV emulator stage. The device on the DIMM100 controlCARD is used to control the DC-DC Boost, DC-AC and DC-DC Sepic stage. PV Panel Emulator Light Sensor PiccoloA Converter + Inverter + Battery Charger ACDC Power Adapter DC-DC Buck/Boost DC-DC Boost DC-AC Inverter MPPT 40 Power 35 30 MPPT 25 DC-DC SEPIC 20 + – 15 SPI 10 5 0 0 DIMM100 5 10 15 20 25 30 PV Inverter Demo GUI Panel Voltage Figure 2. Solar Explorer Kit Overview As PV is a light dependent source, a light sensor is integrated on the board, which can be used to change behavior of the panel with varying light conditions. 4 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Power Stages on the Kit www.ti.com 3 Power Stages on the Kit To enable easy debug individual power stages have their input and output available as terminal blocks or banana jacks. With help of this macro-based approach in hardware, it is possible to realize different PV systems using the solar explorer kit. 3.1 Macros Location and Nomenclature Figure 3 shows the location of the different power stage blocks and macros present on the board. • TMDSSOLAREXPL Kit Main Board [Main] – Consists of controlCARD socket, light sensor, relay, communications, instrumentation (DAC’s) and routing of signals in between the macros and to the controlCARD. • Boost DC-DC Single Phase with MPPT [M1] – DC-DC macro accepts DC input that can be from the PV panel or a battery output (depending on system configuration), and boosts it. This block has the necessary input sensing to implement MPPT. • Inverter Single Phase [M2] – DC-AC macro accepts a DC voltage and uses a full bridge single phase inverter to generate a sine wave. The output filter, filters high frequencies, therefore, generating a smooth sine wave at the output. • Sepic DC-DC with MPPT Battery Charging [M3] – DC-DC macro accepts DC input from the PV panel and is used to charge a battery. The sepic stage provides both buck and boost capabilities that are necessary while charging the battery. • Sync Buck Boost DC-DC Panel EMU [M4] – DC-DC macro accepts DC input from the DC power entry macro (20 V typical) and uses it to generate the PV panel emulator output. The module senses the output voltage and current that makes emulation of the panel’s V vs I characteristics possible. • Pic-A USB-mini EMU [M5] – This is a macro with the TMS320F28027 microcontroller and the JTAG emulator present to control and debug the M4 stage. • DC-PwrEntry VinSw 12V 5V 3V3 [M6] - DC power entry, used to generate the 12 V, 5 V and 3.3 V for the board from 20 V DC power supply supplied with the kit. This macro also supplies power for the onboard panel emulator, M4. • ISO USB to JTAG [M7] – JTAG connection to the main board. Nomenclature: Components are referenced with the macro number in brackets, followed by the component label designator. For example, [M3]-J1 would refer to the jumper J1 located in the macro M3. Likewise, [Main]-J1 would refer to the jumper J1 located on the main board outside of any defined macro blocks. SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 5 Power Stages on the Kit www.ti.com Figure 3. Macro Block on Solar Explorer Kit The following section goes through the individual macros and the control scheme. 6 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Power Stages on the Kit www.ti.com 3.2 Boost DC-DC Single Phase With MPPT Ipv L1 D1 Q1 + Vpv Ci + PWMnA Vboost Co Vpv Vboost Iboostsw Drivers Ipv Signal I/F Conditioning Iboostsw Piccolo Digital Controller PWMnA Figure 4. Boost DC-DC Single Phase With MPPT Power Stage 3.2.1 Power Stage Parameters Input Voltage : 0 -30 V (Panel Input) Input Current : 0- 3.5 Amps (Panel Input) Output Voltage : 30 V DC Nominal Output Current: 0-2 Amps Power Rating: 50W fsw = 100 Khz 3.2.2 Control Description The single phase boost stage is used to boost the voltage from the panel and track the MPP. The input current Ipv is sensed before the input capacitance Ci along with the panel voltage Vpv. These two values are then used by the MPPT algorithm, which calculates the reference point the panel input needs to be maintained at to be at MPP. The MPPT is realized using an outer voltage loop and an inner current loop, as shown in Figure 5. Increasing the current reference of the boost (current drawn through the boost loads, the panel and resulting in the panel output voltage drop). Therefore, the sign for the outer voltage compensator reference and feedback are reversed. It is noted that the output of the boost is not regulated. To prevent the output voltage from rising higher than the rating of the components, the voltage feedback is mapped to the internal comparators, which can do a cycle-by-cycle trip of the PWM in case of over voltage. SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 7 Power Stages on the Kit Ipv www.ti.com Vpv Vpv MPPT Vpv_ref = func(Vpv, Ipv) Runs in a slow background task, not timing critical Iboostsw + Vpv_ref Gv – Vboost_max – Iboostsw_Ref Gi + PWM To Plant * + – Vboost Use the internal comparator trip to implement the overvoltage protection. If the Vboost is greater than max, the output is zero and this zeroes the duty and trips the PWM. Runs as Plant switching frequency or half for cycle by cycle control. Figure 5. Boost With MPPT Control Diagram DC-DC Battery Charging, Sepic Ipnl C2 L1 Q1 + Vpnl C1 D1 + 3.3 + PWM4A L2 C3 Vbatt Vpnl Vbatt Ibattsw Piccolo Digital Controller Drivers Ipnl Signal I/F Conditioning Ibattsw PWM4A Figure 6. DC-DC Battery Charging Sepic Power Stage 3.3.1 Power Stage Parameters Input Voltage : 0 -30 V (Panel Input) Input Current : 0- 3.5 Amps (Panel Input) Output Voltage : 10V-16V DC max Output Current: 0-3.5 Amps Power Rating: 50W Max fsw = 200 Khz 8 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Power Stages on the Kit www.ti.com 3.3.2 Control Description This stage is responsible for charging a typical 12 V battery from the solar panel and, therefore, has panel current Ipv and panel voltage Vpv sensing to track MPP. A sepic stage was chosen to realize this function, as both buck and boost operation are possible using the sepic stage. A typical lead acid battery charging can be divided into four stages, stage determination and transition is done as: • Trickle Charging State: When the battery voltage is below a discharge threshold Vchgenb, the battery has been deeply discharged or has shorted cells. In this case, the charging begins with a very low trickle current Itc. If the battery cells are shorted, then the battery voltage would remain below the Vchgenb, preventing the charging state from going to the bulk charging stage. Otherwise, the battery voltage would slowly build up and would come within a nominal range (above Vchgenb). At this stage, the state would move to bulk charging. While in trickle charging mode, MPPT may not be needed. • Bulk Charging State: In this stage, the charger acts like a current source for the battery providing a constant current Ibulk. As the PV may not be able to supply the ideal Ibulk to charge the battery, however, it tries its best by operating at MPP. As the battery voltage exceeds 0.95 Voc, the charger enters the over charger mode. • Over Charging State: The role of this state is to restore the full capacity in minimum amount of time at the same time avoiding over charging. All the battery voltage and current loop are enabled while MPPT is disabled. VBatt Ref now equals Voc. Initially, overcharge current equals bulk charge current, but as overcharge voltage is approached, the charge current diminishes. IBref is determined by the voltage loop. • Float Charge State: During this state, the battery voltage is maintained at Vfloat to maintain battery capacity against self discharge. The charger would deliver as much current is needed for sustaining the float voltage. The battery would remain in the float state until the battery voltage drops below 90% of the float voltage due to discharging, at which point operation is reverted to bulk charging. Typical values for 12V battery are: Overcharge Voltage, Voc =15V Floating Voltage, Vfloat = 13.5V Discharge Threshold, Vchgenb = 10.5V Load disconnect voltage, Vldv = 11.4 Load disconnect voltage, Vldv = 11.4 Figure 7 illustrates the control proposed for this stage when doing MPPT. The control when doing MPPT is similar to the boost stage; however, when the battery is not in the bulk charging stage, the MPP cannot be maintained as the battery cannot absorb the max power from the panel. Hence, the control of the stage changes from the input voltage of the stage or output of the panel regulation to the output voltage of the stage regulation. The instance when the control is switched is dependent on the battery type and charging algorithm. SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 9 Power Stages on the Kit www.ti.com Bulk Charging State Ipnl Vpnl MPPT Iref=func(Vpnl, Ipnl) Vpnl Vpnl_Ref + Gv - To Plant PWM Battery Charge State Determination Runs in a slow background task, not timing critical Trickle, Over and Float Charging State Vbat Gv Vbatt_ref + Figure 7. Battery Charging With MPPT Control Diagram 3.4 Single Phase Inverter Q1 Q3 PWM2A PWM1A Vline L1 + Cac Grid Vdc L2 PWM1B Q2 Vdc Vac Ileg1 Ileg2 Ileg2 Signal I/F Conditioning Ileg1 Q4 PWM1A Piccolo Digital Controller Drivers C1 Vneutral PWM2B PWM1B PWM2A PWM2B Figure 8. Single Phase Full Bridge Inverter Power Stage 10 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Power Stages on the Kit www.ti.com 3.4.1 Power Stage Parameters Input Voltage : 30 V DC Nominal Input Current : 0- 2 Amps Output Voltage : 20-24Vrms Max Output Current: 0-2 Amps Power Rating: 50W fsw = 10 Khz-20 Khz 3.4.2 Control Structure To appreciate the control of a full bridge inverter, first the mechanism of how the high frequency full bridge inverter feeds current into the grid and line needs to be understood. For this, an understanding of the PWM modulation scheme is necessary. The following derivations uses the unipolar modulation scheme to analyze the current fed from the converter. In a unipolar modulation scheme, alternate legs are switched depending on which half of the sine of the AC signal is being generated. • Positive Half: SW1 and SW2 are modulated and SW4 is always ON, SW3 is always OFF • Negative Half: SW3 and SW4 are modulated and SW2 is always ON, SW1 is always OFF This modulation scheme is highlighted in Figure 9. SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 11 Power Stages on the Kit www.ti.com Igrid SW3 SW1 Vdc switched Vgrid LCL Impedance (Zlcl) + Vdc C1 SW4 SW2 Positive Half of Grid Voltage Grid Vlcl Negative Half of Grid Voltage Time Base Counter SW1 SW2 SW3 SW4 Unipolar Modulation Figure 9. Modulation Scheme The LCL filter at the output of the inverter filters this waveform. Now the voltage across the LCL filter can be written as: • VLCL,on = Vdc − Vgrid, when SW1 and SW4 are conducting • VLCL,on = −Vdc − Vgrid, when SW3 and SW4 are conducting • VLCL,off = −Vgrid, when SW2 and SW4 are conducting Therefore, the change in grid current per switching cycle is computed shown in Equation 1: Di grid = (Vdc - vgrid ).D + (0 - vgrid )(1 - D ) = Vdc * D - vgrid ZLCL (FSW ) ZLCL (F SW ZLCL (F ) SW ) (1) It is noted from Equation 1 that the current can be controlled by varying the duty cycle. Typically, a current transformer is used to measure the gird current. However, on the explorer kit, shunt current measurement is used as this is a learning platform. 12 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Power Stages on the Kit www.ti.com Two shunt current measurement resistors are placed, the grid current (that is, the current fed into the grid from the inverter) is estimated by subtracting the two leg currents. Δigrid = ileg2 - ileg1 (2) Assume the positive half of the sine wave feeds current into the grid. Q3 Q1 Vline L1 + Grid Cac Vdc Q4 Q2 L2 Vneutral C1 Ileg1 Ileg2 Figure 10. Primary Current Primary current fed into the grid during the positive half is ileg2, ileg1 and measures zero. However, when the current reference for the inverter is very low (Q1 is open most of the times), this can result in shorting the grid across SW2 and SW4. When shorted, a high current flows through both Leg1 and Leg2. This is why the Leg1 current is subtracted from the Leg1 current at all times to get the change in the grid current. Q3 Q1 Vline L1 + Grid Cac Vdc Q4 Q2 L2 Vneutral C1 Ileg1 Ileg2 Figure 11. Shorting the Grid Shorting the grid under low modulation case, then the negative current is not sensed. SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 13 Power Stages on the Kit PV Emulator PWMnA Q2 + PWMnB Vdc_in Ipv_emu L1 Q1 Q4 Q3 PWM(n+1)B PWM(n+1)A Vpv_emu Ipv_emu Signal I/F Conditioning Ci + Co Vpv_emu Drivers 3.5 www.ti.com PWMnB PWMnA Piccolo Digital Controller PWM(n+1)A PWM(n+1)B Synchronous Buck Boost Figure 12. Synchronous Buck Boost 3.5.1 Power Stage Parameters Input Voltage : 24 V, DC Power Supply Input Current : 2.5 Amps Max , DC Power Supply Output Voltage : 0-30 V DC Max Output Current: 0-2.5 Amps Power Rating: 50 W fsw = 200 Khz Note that the ratings mentioned above are maximum ratings, depending on the panel emulator characteristics the maximum ratings would be different. 3.5.2 Control Description A synchronous buck boost stage is used to realize the PV array. The power stage comprises of buck side switches Q1 and Q2, boost side switches Q3 and Q4, an inductor L1 and input and output capacitor Ci and Co. The ideal DC gain of the stage is given by Equation 3: V Dbu G= o = Vi 1 - Dbo (3) Where, Dbu is the duty of the buck stage and Dbo is the duty of the boost stage. 14 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Power Stages on the Kit www.ti.com If the power stage is switched such that the buck and the boost duty are the same (that is, Dbu - Dbo) the gain curve is as shown in Figure 13. 6 5 4 Buck Region Gain Boost Region 3 2 1 0 X: 0.5 Y: 1 0 0.1 0.2 0.3 0.4 0.5 Duty 0.6 0.7 0.8 0.9 Figure 13. Gain Curve Therefore, it can be concluded for duty less than 50% the stage behaves as a buck and 50% and above as a boost. The detailed switching diagram using C2000 PWM module is depicted in Figure 14. P P P Z Z Z Pulse Center TimeBase PWM1 PWM Sync Pulse P CA CB P A CB A CA P EPWM1A EPWM1B DbFed DbRed DbFed DbRed TimeBase PWM2 EPWM2A EPWM2B Figure 14. Switching Diagram Using C2000 PWM SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 15 Power Stages on the Kit www.ti.com This stage is controlled using Piccolo-A (F28027), which is present on the EVM baseboard. This controller is separate from the controller that does the DC-DC boost, battery charging and the DC-AC conversion present on the board. The input voltage to the buck boost stage is from the DC Power entry block. This voltage is 20 V, as the power adapter shipped with the kit is 20 V. However, you can use another voltage input by connecting it to the terminal block present on the board. To emulate the panel characteristics, the stage needs to operate as a current controlled voltage source (depending on the load current demand, the output voltage will change). This is achieved by changing the voltage reference of the stage based on the look-up table value. Light Sensor Reading Vpv_emu Ipv_emu PV Panel Emulator Lookup Vpv_emu_Ref = Func(Ipv_emu, Luminance) Vpv_emu_Ref PI PWM To Plant Figure 15. Light Sensor Panel The current being drawn by the panel Ipv is used as the index for the look-up table that is stored on the controller. The look-up table is then used to provide the voltage reference Vpv_ref for the panel corresponding to the Ipv. A light sensor is placed on the board to control the irradiance level and produce a corresponding V-I curve. For getting curves between different luminance levels, the values from the stored curve are interpolated using Equation 4. V G2 pv _ ref _ G2 = * Vpv _ ref G1 (4) Where, G2 is the new luminance value and G1 is the old luminance value. NOTE: This is just an approximation of the PV characteristics, the real panel characteristics may differ. 16 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Power Stages on the Kit www.ti.com Figure 16 shows the curves of the PV emulator table that are stored for the PV emulation on the controller. Panel Emulator Characteristic Power Vs Voltage at different Luminance Levels, Uoc=28 V, Isc=3.0 Amp, Umpp=18 V, Impp=2.0 Amp 40 X: 18.46 Y: 36.02 35 X: 16.42 Y: 32.42 X: 14.68 Y: 28.82 30 X: 12.77 Y: 25.22 1000W/m 25 Power X: 10.96 Y: 21.61 20 900W/m X: 9.093 Y: 18.01 800W/m 700W/m X: 7.363 Y: 14.41 15 600W/m X: 5.473 Y: 10.81 500W/m 10 X: 3.67 Y: 7.205 400W/m 300W/m 5 200W/m 0 0 5 2 2 2 2 2 2 2 2 2 10 15 20 25 30 Panel Voltage Figure 16. Curves of the PV Emulator Table Table 1. PV Emulator Table Luminance Ratio (w.r.t 1000W/m^2) Pmpp =(Pmax * Luminance Ratio) Watts Vmpp (Volts) 1.0 = 1000 W/m^2 36.02 18.46 0.9 = 900W/m^2 32.42 16.42 0.8 = 800W/m^2 28.82 14.68 0.7 = 700W/m^2 25.22 12.77 0.6= 600W/m^2 21.61 10.98 0.5=500W/^2 18.01 9.093 0.4=400W/m^2 14.41 7.363 0.3=300W/m^2 10.81 5.473 0.2=200W/m^2 7.205 3.67 SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 17 Power Stages on the Kit www.ti.com 3 2.5 X: 5.473 Y: 1.975 X: 9.093 Y: 1.98 X: 12.77 Y: 1.975 X: 16.42 Y: 1.975 2 Panel Current X: 3.67 Y: 1.963 X: 7.363 Y: 1.957 X: 10.98 Y: 1.969 X: 14.68 Y: 1.963 X: 18.46 Y: 1.951 1.5 1 0.5 0 0 18 5 10 15 Panel Voltage 20 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 25 30 SPRABR4A – July 2013 Submit Documentation Feedback Power Stages on the Kit www.ti.com 3.6 DC Link Capacitor Requirement In a PV inverter system, the DC-DC boost stage feeds the input to the inverter stage as the inverter provides an AC load that causes a 100-120Hz ripple (depending on the frequency of the AC load) on the DC bus of the inverter. A DC link capacitor is typically used to compensate for this power ripple. Figure 17 shows the relationship between this DC link capacitor and ripple on the DC Bus. iac = ipk sin( wt ) vac = vpk sin( wt ) C Grid 1 pac = vac.iac = — ipk vpk (1 – cos( 2 wt )) pdc = Vdc.Idc 2 vac iac pac Pdc Power Delivered from the capacitor buffer Power Stored in the capacitor buffer Vdc Figure 17. DC Link Capacitor and Ripple on the DC Bus Let the AC current being fed to the grid or load and the AC voltage be: • iac = Ipk sin(wt) • vac = Vpk sin(wt) which implies the power supplied by the inverter is: pac = vac * iac = 1 Vpk I pk ëé1 - cos (2wt )ûù 2 (5) In Equation 5, the power injected into a single-phase grid follows a sinusoidal waveform with twice the frequency of the grid. The PV module cannot be operated at the MPP if this alternating power is not decoupled by means of an energy buffer. Therefore, a capacitor bank is typically used for buffering this energy. To estimate the amount of capacitance needed to buffer this energy, let the magnitude of the ripple induced on the DC bus due to the alternating nature of the power being drawn be ∆V . Now Looking at a quarter of the sinusoidal power waveform, the equation for the power being drawn for 1/8th of the grid cycle can be written as follows: SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 19 PV Systems Using Solar Explorer Kit pac = www.ti.com 1 2 2 1 DE 2 CV - 2 C (V - DV ) 2 = = 4 * fac * C æçV 2 - (V - DV ) ö÷ T 1 è ø 8 (8 * fac ) (6) As is clear from Equation 6, the minimum capacitance required is a function of the value of voltage this energy buffer is kept at and the AC power delivered. 4 PV Systems Using Solar Explorer Kit PV energy can be utilized in a wide variety of fashion, from powering street lights, feeding current into the grid, powering remote base stations, and so forth. The solar explorer kit can be used to experiment with a variety of these applications. 4.1 PV DC-DC Systems PV powered street lighting, parking stations and thin clients are all part of DC-DC applications for which PV can be used. Figure 18 depicts a PV powered street light configuration that can be experimented with the solar explorer kit. Relay DC-DC Boost PV Emulator LED String Controlled using Pic-A SepicDCDCMPPT Battery Figure 18. DC-DC PV Street Lighting NOTE: The idea is not to illustrate the most optimal power stage, but to illustrate the control of such a system using C2000 MCU’s. 20 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback PV Systems Using Solar Explorer Kit www.ti.com LED String Photovoltaic Panel Ipnl Vpnl DC-DC Sepic Batt Charging With MPPT DC-DC Boost MPPT Vpnl_ref = func(Vpnl, Ipnl) Current Control of LED Battery {using switched current of the boost} Vpnl Isw Bulk Charging State Vpnl_Ref PWM PWM Gv – Vboost_max Trickle, Over and Float Charging State Battery Charge State Determination Gi Isw_ref + Vboost Vbat – Runs in a slow background task, not timing critical Vbatt_ref Gv + Figure 19. Control of PV Street Light With Battery Charging 4.2 PV Grid Tied Inverter PV energy can be fed into the grid using a current control inverter. A typical PV grid tied inverter uses a boost stage to boost the voltage from the PV panel such that the inverter can feed current into the grid. The DC bus of the inverter needs to be higher than the maximum grid voltage. Figure 20 illustrates a typical grid tied PV inverter using the macros present on the solar explorer kit. Relay PV Emulator DC-DC Boost DC/AC Inverter LCL Filter Vac Controlled using Pic-A Figure 20. PV Grid Tied Inverter The DC-DC stage is responsible to maintain MPPT of the panel and the inverter is responsible for the synchronization with the grid and feeding current into the grid. Figure 21 shows the control of a PV inverter stage. SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 21 PV Systems Using Solar Explorer Kit Photovoltaic Panel www.ti.com MPPT Vpv_ref = func (Vpv, Ipv) Vpv Vpv_ref + – 1 Phase Inverter DC-DC Boost With MPPT Vpv Ipv Grid PWM PWM Vboost Iboostsw Gv Grid Monitoring PLL Iboostsw_Ref – + +1 to –1pu Gi * Vdc_Ref Vboost_max + – IRef +IRef to –IRef pu Gv Gi +– Vboost Ifdbk Imax Figure 21. Control of PV Grid Tied Inverter 4.3 PV Off Grid Inverter PV energy is not a steady source of energy. In daytime, the PV generates power, whereas, at night, it does not generate any power. A power storage element is needed for PV to supply power to a standalone installation. This is done with the help of a battery charging stage. Such a system can be realized using the solar explorer kit as shown in the Figure 22. The Battery Charge is used to drive the AC load at any time. Relay DC/AC Inverter DC-DC Boost PV Emulator Controlled using Pic-A LCL Filter Vac The Panel is used to charge the battery. SepicDCDCMPPT Battery Figure 22. PV Off Grid Inverter System 22 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Hardware Details www.ti.com 5 Hardware Details 5.1 Resource Allocation Figure 23 shows the various stages of the board in a block diagram format and illustrates the major connections and feedback values that are being mapped to the C2000 MCU. Table 2 lists these resources; however, it only lists the resources used for power stages that convert power from the panel and that are mapped to the DIMM100 connector on the board, and not of the panel emulation stage. Table 2. Resource Mapping: PWM, ADC, GPIO, Comms Macro Name Signal Name PWM Channel/ADC Channel No/Resource Mapping F2803x Single Phase Inverter PWM-1L PWM-1A PWM-1A Inverter drive PWM PWM-1H PWM-1B PWM-1B Inverter drive PWM PWM-2L PWM-2A PWM-2A Inverter drive PWM PWM-2H PWM-2B PWM-2B Inverter drive PWM Ileg1-fb ADC-A4 ADC1-A4 Leg1 Current Ileg2-fb ADC-A6 ADC1-A6 Leg2 Current VL-fb ADC-B1 ADC2-B0 Line Voltage Feedback VN-fb ADC-A5 ADC1-B4 Neutral Voltage Feedback Vac-fb ADC-A7 ADC1-A7 AC Voltage Feedback VdcBus-fb ADC-A3 ADC1-A3 DC Bus Voltage Feedback ZCD ECAP1 ECAP1 ZCD Capture PWM PWM-3A PWM-3A Boost PWM Vpv-fb ADC-A1 ADC1-B0 Panel Voltage Feedback Ipv-fb ADC-A0 ADC1-A0 Panel Current Feedback Iboostsw-fb ADC-B6 ADC2-A6 Boost Switched Current Vboost-fb ADC-A2 ADC1-A2 Boost Voltage Feedback PWM PWM-4A PWM-4A Sepic PWM Vpnl-fb ADC-B2 ADC2-A2 Panel Voltage Feedback Ipnl-fb ADC-B3 ADC2-A3 Panel Current Feedback Ibattsw-fb ADC-B7 ADC2-A7 Battery Switched Current Vbatt-fb ADC-B4 ADC2-A4 Battery Voltage RLY-en GPIO-12 GPIO-12 Relay Switch Light-fb ADC-B0 ADC2-A0 Light Sensor Feedback PWM PWM-5A PWM-5A DAC-1 PWM PWM-6A PWM-6A DAC-2 PWM PWM-7A Not Available DAC-3 PWM PWM-7B Not Available DAC-4 SPISOMI-B SPISOMI-B SSI Comm. to PV Emu SPISIMO-B SPISIMO-B SSI Comm. to PV Emu SPISTE-B SPISTE-B SSI Comm. to PV Emu SPICLK-B SPICLK-B SSI Comm. to PV Emu Tx-slave SCITX-A Not used Comm. to SCI GUI Rx-slave SCIRX-A Not used Comm. to SCI GUI DC-DC Single Phase Boost With MPPT DC-DC Sepic With MPPT Main–Board SPRABR4A – July 2013 Submit Documentation Feedback PWM Channel/ADC Channel No/ Resource Mapping F28M35x Function PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 23 Hardware Details www.ti.com DC-DC Sepic Batt Chg MPPT Panel Current and Voltage Fdbk Boost Voltage Fdbk BS7 DC-DC Buck Boost Panel EMU Terminal Connection to Battery Panel Output Voltage and Current Input Voltage Feedback Power From DC Power Entry Macro PWM-4A BS1 Pwm-1A PWM-2B PWM-1B Inductor Current Panel Input PWM-2A DC-DC Sepic Batt Chg MPPT Boost Voltage Fdbk Panel Current and Voltage Fdbk BS4 Panel Emulator is Controlled by F28027 BS3 PWM-3A C2000 MCU CPU Switch Current PWM-1 A B 32 bit PWM-2 HOST CAN UART 2 IC 1 2 3 4 6 PWM-3 PWM-4 ADC CAP-1 12 bit 16 Vref QEP A 1 Ph Inverter B A BS5 Inverter DC Bus Fdbk B A PWM-1A PWM-2A PWM-1B PWM-2A B AC Terminal Block 3 3 Voltage Sensing Phase Current Feedback Figure 23. Solar Explorer Kit Block Diagram With C2000 MCU (connectivity peripherals can differ from one device to the other including Ethernet, USB, CAN, SPI, and so forth) 24 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Hardware Details www.ti.com [M7] JP1- USB Connection for on-board emulation [M6]SW2– 12, 5 , 3.3VDC power switch [M6]JP1 – DC Jack for 20V DC power supply [M6] J1 – Source power from DC Jack Jumper [M6 ]TB1 – External Power Supply Connection terminal Block [M6]SW1– Panel Emulator Power Rail On/Off [Main]U1 Light Sensor [M7]J2 – External JTAG emulator interface [Main]BS2 Banana Connector jack for GND Connection [M7] J5– On-board emulation disable jumper [M7]J1 & J2– Boot Option Jumper [Main]BS1 Banana Connector for Panel Emulator Output [M7] J4– JTAG TRSTn Jumper [Main]J5 – DAC outputs [M5]J1 – PV Emulator Reset jumper [Main] J4 – FTDI UART Jumper [M5]JP1 – miniUSB Connection for emulation of PV Panel [Main]J1-J3 – jumper to enable controller power (12, 5 and 3.3VDC) from the 20V DC power supply [Main]BS4 Banana Connector jack for Boost Output Voltage [Main]TB1 – Inverter Output [Main]BS3 Banana Connector jack for Panel Input [Main]BS5 – Banana Connector jack for Inverter Input [Main] BS7 Banana Connector jack for Panel Input [Main]BS5 – Banana Connector jack for GND Connection [Main]TB2 – Terminal Connector for Battery Pack Connection Figure 24. Solar Explorer Jumpers and Connectors 5.2 Jumpers and Connectors Table 3 shows the various connections available on the board, and is split up by the macro each connection is included in. Figure 24 illustrates the location of these connections on the board with help of a board image. Table 3. Jumpers and Connectors on Solar Explorer Board [Main]-BS1 Banana jack for panel emulator output connection [Main]-BS2, BS6 Banana jack for GND connection [Main]-BS3, BS7 Banana jack for panel input connection [Main]-BS4 Banana jack for boost voltage connection [Main]-BS5 Banana jack for connecting the input to the DC-AC inverter, typically this is the boost output an input voltage [Main]-H1 DIMM100 connector, used to insert the C2000 MCU controlCARD [Main]-TB2 Terminal block for output of Sepic stage[M3], used to connect to battery pack [M2]-TB1 Inverter output voltage connection terminal block [M6]-JP1 DC power jack, input connection from the DC power supply [M6]-SW1 Switch to enable or disable power to the PV emulator stage. When in the ON position, 20 V from the DC power entry macro goes to the panel emulator stage. [M6]-SW2 Switch to enable or disable power to the board. When in the On position, the input voltage is used to generate 12 V, 3.3 V and 5 V rail on the board. Also, if the [M6]-J1 jumper is populated, the power from the DC jack is also used for the power rail of the panel emulator stage. SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 25 Software www.ti.com Table 3. Jumpers and Connectors on Solar Explorer Board (continued) [M6]-J1 When the jumper is populated, the power for the PV emulator stage is the input of the DC power jack [M6]-JP1. When unpopulated, a separate external power supply can be connected to [M6]-TB1 to source power for the panel emulator stage. [M6]-TB1 External power supply connection for the PV emulator. The PV emulator can source power from the 20 V power supply that feeds into [M6]-JP1; however, if it is desired, an external power supply can be connected to [M6]-TB1 that will separate the DC Link from the controller power. When using external power supply, [M6]-J1 needs to be depopulated. [M7]-JP1 USB connection for on-board emulation 5.3 GUI Connection The FTDI chip present on the board can be used as an isolated SCI for communicating with a HOST (that is, PC). The following jumper settings must be done to enable this connection. As the GUI software with SCI is provided for F28035 controlCARD only, F28035 settings are discussed below: 1. Populate the jumper [M7]-J4 2. Remove the jumper [Main]-J4, this disables the JTAG connection. 3. Put SW3, on the F28035 controlCARD, to the OFF position. 4. Connect a USB cable from [M7]-JP1 to the host PC. NOTE: If you are going to boot from Flash and connect using the GUI, you would need to use the Boot from Flash settings as described in the Table Boot Options. 6 Software This section describes the details of the PV inverter control and software for the solar explorer kit. 6.1 Project Framework As shown earlier, the PV inverter control requires two real-time ISR’s: one is for the closed loop control of the DC-DC stage and the other for the closed loop control of the DC-AC stage. The C2000 Solar Explorer Kit project makes use of the “C-background/C-ISR/ASM-ISR” framework. The fast ISR (100 kHz), controlling the DC-DC Boost stage, runs in assembly environment using the digital power library and slower ISR (20 kHz), controlling the DC-AC inverter, is run from the C environment. This DC-AC ISR is made interruptible by the DC-DC ISR. The project uses C-code as the main supporting program for the application and is responsible for all system management tasks, decision making, intelligence, and host interaction. 26 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Software www.ti.com Figure 25 shows the structure of the PV inverter software, with the main background loop, the DC-DC ISR and the DC-AC ISR. (i) Main Loop Cinit_0 Initialize Modules – Inverter- PWM1,2 DCDC Boost – PWM3 ADC Initialize Macros – MPPT, SizeAnalyzer, PID... Initialize Module Parameters PID connections, PWM drivers, ADC drivers, MPPT, SineAnalyzer Rslt Regs Enable Interrupts Inverter – ADCINT1 Boost – EPWM_INT (ii) DC-AC Inverter ISR (20Khz) C – ISR (Inverter Control) (iii)DC-DC Boost ISR (50Khz) BackGround Loop MPPT GUI DC-AC Inverter ISR DC-DC Boost ISR Save contexts and clear interrupt flags - EINT ASM – ISR (Boost Control) Save contexts and clear int flags Calculate Sine Reference (sgen)/ Digital PLL for Grid Synchronization Read Inverter Leg Current Read Inverter o/p voltage ADC Result read Ipv, Vpv, Iboost, Vboost Execute PID – Voltage Loop Update Current reference @ ZCD Execute PID – Voltage Loop Update CMP regs of PWM1 or 2 Execute CNTL2P2Z 1 – Voltage Loop Execute CNTL2P2Z 2 – Current Loop Update PWM Drivers Update SineAnalyzer Data logging functions PWM DAC o/p Restore Context Return Restore Context Return Figure 25. PV Inverter Software Structure (i) Main Loop (ii) Inverter Stage ISR (iii) DCDC Boost Stage ISR 6.2 DC-DC Boost With MPPT Control Software To get the most energy out of the solar panel, the panel needs to operate at its maximum power point. However, the maximum power point is not fixed due to the non linear nature of the PV cell and changes with temperature, light intensity, and so forth. Thus, different techniques are used to track the maximum power point of the panel, like Perturb and Observe, incremental conductance algorithms. These techniques try to track the maximum power point of the panel under given operating conditions and are referred to as Maximum Power Point Tracking (MPPT) techniques and algorithms. The Solar Explorer kit has a front-end boost converter to boost the input voltage from the solar panel to a suitable level for the inverter and track the MPP. The control of the stage to track the MPP was discussed earlier; for which the input voltage (Vpv) and input current (Ipv) are sensed. The boost converter is a traditional single phase converter with a single switching MOSFET Q1. The duty cycle of the PWM output driving the Q1 MOSFET switch determines the amount of boost imparted and is the controlled parameter. The MPPT is realized using nested control loops, an outer voltage loop that regulates input DC voltage (Vpv) and an inner current loop that controls the current of the boost stage. Increasing the current reference of the boost, that is, current drawn through the boost loads the panel and hence results in the panel output voltage drop. Therefore, the sign for the outer voltage compensator reference and feedback are reversed. The current and voltage controllers are executed at a rate of 50 kHz (half of the PWM switching frequency) while the MPPT controller is executed at a much SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 27 Software www.ti.com slower rate ~ 10Hz. It is noted from Figure 5 that the boost stage output voltage is not being controlled through software. Boost output voltage however is regulated by the DC-AC inverter, which modulates the current drawn by the inverter to keep this voltage regulated. However, for protection, the output of the boost is connected to the ADC pin with the internal comparator that can be used to trip the PWM to the DC-DC stage in case of over-voltage. 50Khz 50Khz 50Khz CNTL_2P2Z:1: PWMDRV_1chUpDwnCntCompl:3: CNTL_2P2Z:2: Ref Out VpvRef P W M Ref IboostSwRef Out Fdbk Duty3A Duty Fdbk DBUFF Coef Period DBUFF PWM3A Coef CNTL_2P2Z_CoefStruct CNTL_2P2Z_CoefStruct B0 B1 B2 A1 A2 Dmin Dmax B0 B1 B2 A1 A2 Dmin Dmax 50Khz ADCDRV_1ch:1: IboostswRead A D C ADC B6 A D C ADC A1 A D C ADC A0 A D C ADC A2 Rlt 50Khz MATH_EMAVG:2: VpvRead_EMAVG Out In 50Khz ADCDRV_1ch:7: Multiplier VpvRead Rlt 10-20Hz 50Khz 50Khz MATH_EMAVG:1: MPPT PnO / INCC IpvRead_EMAVG Out In ADCDRV_1ch:6: IpvRead Rlt Multiplier ADCDRV_1ch:5: VboostRead Rlt Figure 26. DC-DC 1ph Boost With MPPT Software Diagram As the switching rate of the DC-DC stage is fairly high, 100 Khz, the control ISR for the DC-DC is implemented in an optimized assembly ISR (ASM – ISR) that uses components from the digital power library. In the PV inverter project, the DC-DC ISR is invoked every alternate switching cycle; this is done because the PV panel output does not change very fast. Figure 26 shows the software diagram for the DC-DC stage using the optimized blocks from the digital power library. The ADC result registers are read by the ADCDRV_1ch block and converted to normalized values, and stored in variables IpvRead, Vpvread, Iboostswread and Vboostread. Two 2-pole 2-zero controllers (CNTL_2P2Z) are used to close the inner DC-DC boost current loop and the outer input voltage loop. The MPPT algorithm provides reference input voltage to the boost stage to enable panel operation at maximum power point. The sensed input voltage is compared with the voltage command (Vpvref) generated by the MPPT controller in the voltage control loop. The voltage controller output is then compared with the output current (Iboostswread) feedback in the current controller. The current loop controller’s output decides the amount of duty to be imparted to the PWM so as to regulate the input voltage indirectly. The PWMDRV_1ch_UpDwnCntCompl block is used to drive the DC-DC stage. The panel current and voltage are filtered using the MATH_EMAVG block; this is done to remove any noise on the panel current and voltage sensing that may confuse the MPPT algorithm. 28 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Software www.ti.com Notice the color coding for the software blocks. The blocks in ‘dark blue’ represent the hardware modules on the C2000 controller. The blocks in ‘blue’ are the software drivers for these modules. The blocks in ‘yellow’ are the controller blocks for the control loop. Although a 2-pole 2-zero controller is used here, the controller could very well be a PI/PID, a 3-pole 3-zero or any other controller that can be suitably implemented for this application. Similarly for MPP tracking, you can choose to use a different algorithm. 6.3 DC-AC Single Phase Inverter Control Software The inverter stage gets input from the DC-DC boost stage and the inverter converts DC into AC. For a full bridge inverter, it can be noted that when using unipolar modulation the current fed is given by Equation 7: Di grid = (Vdc - v grid ).D (0 - v grid )(1 - D ) Vdc * D - v grid + = ZLCL (Fsw ) ZLCL (Fsw ) ZLCL (Fsw ) (7) Where, D is the duty cycle. It is clear from Equation 7 that for the inverter to be able to feed current into the grid, the Vdc must always be greater than the max grid voltage. Also, it is known from the PV inverter control scheme that the DC bus is not regulated by the DC-DC boost stage. Therefore, the inverter stage software uses nested control loops: an outer voltage loop and an inner current loop. The voltage loop generates the reference command for the current loop, as increasing the current command will load the stage and hence cause a drop in the DC bus voltage the sign for reference and the feedback are reversed. The current command is then multiplied by the AC angle to get the instantaneous current reference. In the case of “off-grid” configuration, sine reference is generated using the SGEN library function, which provides the angle value, whereas, for the grid connected software PLL provides the grid angle. The instantaneous current reference is then used by the current compensator along with the feedback current to provide duty cycle for the full bridge inverter. The outer voltage loop is only run at ZCD of the AC to prevent any distortion in the current. 20Khz / ZCD 20Khz PID_Grando (struct) PWMDRV_1phInv_unipolar (n,period,Duty) PID_Grando (struct) PWMnA .Ref inv_Iset .Out VdcRef .Fdbk DBUFF Coef X .Ref .Out .Fdbk InvSine pidGRANDO_Vinv Duty DBUFF Coef P W M PWMnB PWM(n+1)A PWM(n+1)B pidGRANDO_Iinv Ileg2_fb Solar_SoftPLL (struct) VboostRead subtract Ileg1_fb .sin(θ) Vac_fb .cos(θ) .Vin .(θ) wn Solar_SineAnalyzer (struct) T=1/f .PosCyc .Vrms .Vin .Vavg SampleFreq Threshold .freq .ZCD Figure 27. Closed Loop Current Control for DC-AC With Grid Connection SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 29 Software 6.4 www.ti.com DC-DC and DC-AC Integration As shown in Figure 25, the PV inverter control requires two real-time ISR’s: one is for the closed loop control of the DC-DC stage (100 Khz) and the other for the closed loop control of the DC-AC stage (20 Khz). The peripheral, that is, ADC and PWM’s on the C2000 device family have been designed to integrate multi frequency control loops and ensure sampling at correct instances of the PWM waveform. However, as only one ADC present (two sample and holds) it needs to be ensured that the multi-rate ISRs do not conflict for the ADC resource at any instance. For this, the phase shift mechanism of the PWM’s on the ePWM peripheral is employed. Figure 28 illustrates the timing diagram for configuring the EPWM for the inverter and the boost stage and the synchronization mechanism used to avoid ADC conflicts. 30 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Software www.ti.com PWM PRD = 3000 counts = 20Khz at 60Mhz CPU Clock TBPRD1 = 1500 PWM synchronization event happens here TimeBase 1 CAU Z CAD PRD Z ADC sampling DC-AC PWM 1A PWM 1B TBPRD2 = 300 PWM PRD = 600 counts = 100 Khz at 60 Mhz CPU Clock PWM Phase Shift (TBPHS) = 30 counts TimeBase 2 CAU PRD PRD CAD PWM 3A ADC sampling for DC-DC Boost Current ISR DC-DC ISR DC-AC CPU Utilization ISR DC-DC ISR DC-DC ISR DC-AC xxxxxxxxxxxxxxxxxxxxxxx xxxxxxxxxxxxxxxxxxxxxxx xxxxxxxxxxxxxxxxxxxxxxx xxxxxxxxxxxxxxxxxxxxxxx ISR DC-DC xxxxxxxxxx xxxxxxxxxx xxxxxxxxxx xxxxxxxxxx Key DC-AC Inverter Control Loop DC-DC MPPT Control Loop xxx Background Task xxx xxx Figure 28. Timing Diagram for Boost and Inverter Integration Figure 28 illustrates the PWM waveform generation on a 60 MHz device for 20 KHz DC-AC inverter and a 50 KHz control loop rate of the DC-DC boost with MPPT stage (note the switching rate is 100 KHz). The PWM peripheral offers the flexibility to trigger the start of conversions (SOC’s) for the ADC every switching cycle or alternate, avoiding any unnecessary load on the ADC. SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 31 Software www.ti.com In addition to this, a phase shift is implemented to avoid any conflict on the ADC resource. A phase shift of 30 clock cycles is chosen to account for a 7 cycle sampling window and a 15 cycle first conversion delay. 6.5 Incremental Build Level System The software project for the Solar Explorer kit in controlSUITE is divided into simplified incremental builds to run smaller subsystems of increasing complexity. This makes it easier to learn and get familiar with the board and software, and enables easy debugging and testing boards. The three incremental builds are: Build 1: Illustrates closed current loop control of the inverter stage. This level is used to verify PWM switching, ADC sampling and protection circuitry. Build 2: Illustrates MPPT and DC bus regulation along with closed current loop control of the inverter stage with a Bulb Load at the output of the inverter, and locally generated sine reference. Build 3: Illustrates the grid connection of the PV inverter along with MPPT, DC Bus regulation and closed loop current control of the inverter, a resistive load must be used (not shipped with the kit) for this build. Figure 29 illustrates the full control scheme for the PV inverter using solar explorer kit. For source code, download controlSUITE and choose solar explorer kit at the time of installation. 32 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback Software www.ti.com DPL_ISR() 50Khz 50Khz PWMDRV_1chUpDwnCntCompl:3: 50Khz CNTL_2P2Z:1: CNTL_2P2Z:2: Ref Out VpvRef P W M Ref IboostSwRef Out Fdbk Duty Duty3A Fdbk DBUFF Coef Period DBUFF PWM3A Coef CNTL_2P2Z_CoefStruct CNTL_2P2Z_CoefStruct B0 B1 B2 A1 A2 Dmin Dmax B0 B1 B2 A1 A2 Dmin Dmax 50Khz ADCDRV_1ch:1: A D C ADC B6 A D C ADC A1 A D C ADC A0 A D C ADC A2 Rlt IboostswRead 50Khz MATH_EMAVG:2: 50Khz VpvRead_EMAVG Out ADCDRV_1ch:7: In Multiplier Rlt VpvRead 50Khz MATH_EMAVG:1: 10-20Hz 50Khz ADCDRV_1ch:6: MPPT PnO / INCC IpvRead_EMAVG Out In IpvRead Rlt Multiplier ADCDRV_1ch:5: Rlt VboostRead inv_ISR() 20Khz / ZCD PID_Grando (struct) VboostRead .Ref VdcRef .Fdbk 20Khz PID_Grando (struct) inv_Iset .Out X PWMDRV_1phInv_unipolar (n,period,Duty) PWMnA .Ref .Out DBUFF Coef InvSine PWMnB PWM(n+1)A PWM(n+1)B Ileg2_fb .sin(θ) .cos(θ) .Vin DBUFF Coef Coef P W M pidGRANDO_Iinv Solar_SoftPLL (struct) Vac_fb .Fdbk Duty subtract Ileg1_fb .(θ) wn Solar_SineAnalyzer (struct) .PosCyc T=1/f .Vrms .Vin .Vavg SampleFreq Threshold .freq .ZCD Figure 29. Full Control Scheme for the PV Inverter SPRABR4A – July 2013 Submit Documentation Feedback PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated 33 References 7 References • • • • • • • • • • 34 www.ti.com C2000 SolarWorkshop: http://processors.wiki.ti.com/index.php/C2000_SolarWorkshop F28M35H52C, F28M35H22C, F28M35M52C, F28M35M22C, F28M35M20B F28M35E20B Concerto Microcontrollers Data Sheet (SPRS742) Concerto F28M35x Technical Reference Manual (SPRUH22) Soeren Baekhoej Kjaer, John K. Pedersen & Frede Blaabjerg, “A review of Single – phase grid connected inverters for photovoltaic systems”, IEEE transactions on industry applications, vol 41, No. 5, September / October 2005 Remus Teodorescu, Marco Liserre, Pedro Rodriguez, “Gird Converters for Photovoltaic and Wind Power Systems”, John Wiley and Sons, 2011 Tamas Kerekes, “Analysis and Modeling of Transformerless Photovoltaic Inverter Systems”, Department of Energy Technology , Aalborg University, 2009 Zhang Housheng; Zhao Yanlei; , "Research on a Novel Digital Photovoltaic Array Simulator," Intelligent Computation Technology and Automation (ICICTA), 2010 International Conference on , vol.2, no., pp.1077-1080, 11-12 May 2010 Britton, Lunscher, and Tanju,“A 9KW High-Performance Solar Array Simulator”, Proceedings of the European Space Power Conference, August 1993 (ESA WPP-054, August 1993) Soeren Baekhoej Kjaer ,Design and Control of an Inverter for Photovoltaic Applications, Department of Energy Technology , Aalborg University, 2009 Francisco D. Freijedo et al, “Robust Phase Locked Loops Optimized for DSP implementation in Power Quality Applications”, IECON 2008, 3052-3057 PV Inverter Design Using Solar Explorer Kit Copyright © 2013, Texas Instruments Incorporated SPRABR4A – July 2013 Submit Documentation Feedback IMPORTANT NOTICE Texas Instruments Incorporated and its subsidiaries (TI) reserve the right to make corrections, enhancements, improvements and other changes to its semiconductor products and services per JESD46, latest issue, and to discontinue any product or service per JESD48, latest issue. Buyers should obtain the latest relevant information before placing orders and should verify that such information is current and complete. All semiconductor products (also referred to herein as “components”) are sold subject to TI’s terms and conditions of sale supplied at the time of order acknowledgment. TI warrants performance of its components to the specifications applicable at the time of sale, in accordance with the warranty in TI’s terms and conditions of sale of semiconductor products. Testing and other quality control techniques are used to the extent TI deems necessary to support this warranty. Except where mandated by applicable law, testing of all parameters of each component is not necessarily performed. TI assumes no liability for applications assistance or the design of Buyers’ products. Buyers are responsible for their products and applications using TI components. To minimize the risks associated with Buyers’ products and applications, Buyers should provide adequate design and operating safeguards. TI does not warrant or represent that any license, either express or implied, is granted under any patent right, copyright, mask work right, or other intellectual property right relating to any combination, machine, or process in which TI components or services are used. Information published by TI regarding third-party products or services does not constitute a license to use such products or services or a warranty or endorsement thereof. Use of such information may require a license from a third party under the patents or other intellectual property of the third party, or a license from TI under the patents or other intellectual property of TI. Reproduction of significant portions of TI information in TI data books or data sheets is permissible only if reproduction is without alteration and is accompanied by all associated warranties, conditions, limitations, and notices. TI is not responsible or liable for such altered documentation. Information of third parties may be subject to additional restrictions. Resale of TI components or services with statements different from or beyond the parameters stated by TI for that component or service voids all express and any implied warranties for the associated TI component or service and is an unfair and deceptive business practice. TI is not responsible or liable for any such statements. Buyer acknowledges and agrees that it is solely responsible for compliance with all legal, regulatory and safety-related requirements concerning its products, and any use of TI components in its applications, notwithstanding any applications-related information or support that may be provided by TI. Buyer represents and agrees that it has all the necessary expertise to create and implement safeguards which anticipate dangerous consequences of failures, monitor failures and their consequences, lessen the likelihood of failures that might cause harm and take appropriate remedial actions. Buyer will fully indemnify TI and its representatives against any damages arising out of the use of any TI components in safety-critical applications. In some cases, TI components may be promoted specifically to facilitate safety-related applications. With such components, TI’s goal is to help enable customers to design and create their own end-product solutions that meet applicable functional safety standards and requirements. Nonetheless, such components are subject to these terms. No TI components are authorized for use in FDA Class III (or similar life-critical medical equipment) unless authorized officers of the parties have executed a special agreement specifically governing such use. Only those TI components which TI has specifically designated as military grade or “enhanced plastic” are designed and intended for use in military/aerospace applications or environments. Buyer acknowledges and agrees that any military or aerospace use of TI components which have not been so designated is solely at the Buyer's risk, and that Buyer is solely responsible for compliance with all legal and regulatory requirements in connection with such use. TI has specifically designated certain components as meeting ISO/TS16949 requirements, mainly for automotive use. In any case of use of non-designated products, TI will not be responsible for any failure to meet ISO/TS16949. Products Applications Audio www.ti.com/audio Automotive and Transportation www.ti.com/automotive Amplifiers amplifier.ti.com Communications and Telecom www.ti.com/communications Data Converters dataconverter.ti.com Computers and Peripherals www.ti.com/computers DLP® Products www.dlp.com Consumer Electronics www.ti.com/consumer-apps DSP dsp.ti.com Energy and Lighting www.ti.com/energy Clocks and Timers www.ti.com/clocks Industrial www.ti.com/industrial Interface interface.ti.com Medical www.ti.com/medical Logic logic.ti.com Security www.ti.com/security Power Mgmt power.ti.com Space, Avionics and Defense www.ti.com/space-avionics-defense Microcontrollers microcontroller.ti.com Video and Imaging www.ti.com/video RFID www.ti-rfid.com OMAP Applications Processors www.ti.com/omap TI E2E Community e2e.ti.com Wireless Connectivity www.ti.com/wirelessconnectivity Mailing Address: Texas Instruments, Post Office Box 655303, Dallas, Texas 75265 Copyright © 2013, Texas Instruments Incorporated