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![2ECEN2060
Simulink models of PV modules
Vpv
Insolation
Ipv
Ppv
PV module (V)
PV1
Ipv
Insolation
Vpv
Ppv
PV module (I)
PV1
Current-input PV module Voltage input PV module
Inputs:
• PV current IPV [A]
• Insolation [W/m2
]
Outputs:
• PV voltage VPV [V]
• PV output power Ppv [W]
This model is well suited for the case
when modules are connected in
series and share the same current
Inputs:
• PV voltage VPV [V]
• Insolation [W/m2
]
Outputs:
• PV current IPV [A]
• PV output power Ppv [W]
This model is well suited for the case
when modules are connected in
parallel and share the same voltage
Model parameters, in both cases, are the standard
PV module data-sheet parameters:
• short-circuit current Isc
• open-circuit voltage Voc
• rated current IR at maximum power point (MPP)
• rated voltage VR at MPP
under standard test conditions (1kW/m2, 1.5 AM,
25oC). A bypass diode (a single diode across the
entire module) can be included. Temperature
effects are not modeled.](https://image.slidesharecdn.com/8843034f-3a1f-4293-bcb9-bb1d2c8dc980-150602044617-lva1-app6892/85/PV_module_model-2-320.jpg)
PV_module_model
- 1. PV Module Simulink models ECEN2060 Spring 2008
- 2. 2ECEN2060 Simulink models ofPV modules Vpv Insolation Ipv Ppv PV module (V) PV1 Ipv Insolation Vpv Ppv PV module (I) PV1 Current-input PV module Voltage input PV module Inputs: • PV current IPV [A] • Insolation [W/m2 ] Outputs: • PV voltage VPV [V] • PV output power Ppv [W] This model is well suited for the case when modules are connected in series and share the same current Inputs: • PV voltage VPV [V] • Insolation [W/m2 ] Outputs: • PV current IPV [A] • PV output power Ppv [W] This model is well suited for the case when modules are connected in parallel and share the same voltage Model parameters, in both cases, are the standard PV module data-sheet parameters: • short-circuit current Isc • open-circuit voltage Voc • rated current IR at maximum power point (MPP) • rated voltage VR at MPP under standard test conditions (1kW/m2, 1.5 AM, 25oC). A bypass diode (a single diode across the entire module) can be included. Temperature effects are not modeled.
- 3. 3ECEN2060 PV cell circuitmodel and equations PV cell + _ Rs RpVD IDISC 0=−−− PV p D DSC I R V II ( )1/ −= TD VV oD eII PVsDPVcell IRVV −= KCL: Diode characteristic: KVL:
- 4. 4ECEN2060 2 Ppv 1 Vpv Switch Saturation Rs Rs Product Io*(exp(u/Vt)-1) PN-junction characteristic Ns Ns max MinMax G Insolation to currentgain Diode Constant -Vt*log((u/Io)+1) By-pass diode f (z) z Solve f(z) = 0 Algebraic Constraint 1/Rp 1/Rp 2 Insolation 1 Ipv Isc Ipv Ipv Vd Vpv cell Id Vd/Rp Simulink Implementation • Both PV module models are implemented as masked subsystems in Simulink • Look Under Mask (right-click or Edit menu) reveals details of the model implementation • Details of the current-input PV module model: Ipv Insolation Vpv Ppv PV module (I) PV1 Inputs: PV current and insolation Outputs: PV voltage and PV power
- 5. 5ECEN2060 2 Ppv 1 Vpv Switch Saturation Rs Rs Product Io*(exp(u/Vt)-1) PN-junction characteristic Ns Ns max MinMax G Insolation to currentgain Diode Constant -Vt*log((u/Io)+1) By-pass diode f (z) z Solve f(z) = 0 Algebraic Constraint 1/Rp 1/Rp 2 Insolation 1 Ipv Isc Ipv Ipv Vd Vpv cell Id Vd/Rp Inside the current-input PV module model 0=−−− PV p D DSC I R V II KCL solved for VD using Algebraic Constraint block ( )1/ −= TD VV oD eII PVSDPVcell IRVV −= PVcellsPV VNV = seriesincellsofnumber=sN
- 6. 6ECEN2060 2 Ppv 1 Vpv Switch Saturation Rs Rs Product Io*(exp(u/Vt)-1) PN-junction characteristic Ns Ns max MinMax G Insolation to currentgain Diode Constant -Vt*log((u/Io)+1) By-pass diode f (z) z Solve f(z) = 0 Algebraic Constraint 1/Rp 1/Rp 2 Insolation 1 Ipv Isc Ipv Ipv Vd Vpv cell Id Vd/Rp Inside the current-input PV module model += 1ln o bypass tDbypass I I VV Bypass diode current cannot be negative Bypass diode voltage (if forward biased) Select VPV with bypass diode (“Diode” = 1) or without bypass diode (“Diode” =0)
- 7. 7ECEN2060 Model Mask: Parameters •Edit Mask (right-click or Edit menu), click on Parameters • This is where the masked subsystem model parameters are defined
- 8. 8ECEN2060 Model Mask: Initialization •Edit Mask (right-click or Edit menu), click on Initialization • The MATLAB code computes model parameters Io, Rs, Rp based on the model parameters (short-circuit current Isc, circuit voltage Voc, rated voltage Vr, and rated current Ir)
- 9. 9ECEN2060 Application Example: PVArray ECEN2060 6-module PV Array XY power XY V-I PV To Workspace Product Ipv Insolation Vpv Ppv PV module (I) PV6 Ipv Insolation Vpv Ppv PV module (I) PV5 Ipv Insolation Vpv Ppv PV module (I) PV4 Ipv Insolation Vpv Ppv PV module (I) PV3 Ipv Insolation Vpv Ppv PV module (I) PV2 Ipv Insolation Vpv Ppv PV module (I) PV1 Ipv Ramp 1000 Insolation Add Ipv Ipv Vpv Vpv Ppv Ppv PV array consisting of 6 PV modules connected in series + _ VPV IPV Simulink model pv_array.mdl
- 10. 10ECEN2060 Inside the voltage-inputPV module 2 Ppv 1 Ipv Ipv Insolation Vpv Ppv PV module (I) f (z) z Solve f(z) = 0 Algebraic Constraint2 Insolation 1 Vpv Vpv Insolation Ipv Ppv PV module (V) PV1 Inputs: PV voltage and insolation Outputs: PV voltage and PV power Current-input PV model Algebraic Constraint block solves for IPV that results in VPV
- 11. 11ECEN2060 Application Example: PVModule Characteristics Vpv Vpv Insolation Ipv Ppv PV module (V) PV1 PV power Insolation I-V characteristic Vpv Vpv Ipv Simulink model: pv_characteristic.mdl IPV PPV VPVVPV Insolation = 200, 400, 600, 800, 1000 W/m2