PVSystems.Electrical

Library for electrical models

Information

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

Name	Description
IdealCBSwitch	Basic two-cuadrant current bidirectional switch
SW1	Switched model implemented with switch + diode
SW2	Switched model implemented with switch x 2
SW3	Switched model implemented with switch + anti-parallel diode x 2
CCM1	Average CCM model with no losses
CCM2	Average CCM model with conduction losses
CCM3	Average CCM model with no losses and tranformer
CCM4	Average CCM model with conduction losses and tranformer
CCM5	Average CCM model with conduction losses and diode reverse recovery
CCM_DCM1	Average CCM-DCM model with no losses
CCM_DCM2	Average CCM-DCM model with no losses and transformer
PVArray	Flexible PV array model
SimpleBattery	Simple battery model
Assemblies	Electrical assemblies useful in PV and power electronics
Interfaces	Interfaces

PVSystems.Electrical.IdealCBSwitch

Basic two-cuadrant current bidirectional switch

PVSystems.Electrical.IdealCBSwitch

Information

This model represents and idealized current bi-directional switch. This is the typical IGBT in anti-parallel with a diode from which many converters are built.

Extends from Modelica.Electrical.Analog.Interfaces.TwoPin (Component with two electrical pins).

Connectors

Type	Name	Description
PositivePin	p	Positive pin Positive pin (potential p.v > n.v for positive voltage drop v)
NegativePin	n	Negative pin
input BooleanInput	c

Modelica definition

model IdealCBSwitch "Basic two-cuadrant current bidirectional switch" extends Modelica.Electrical.Analog.Interfaces.TwoPin; // Components Modelica.Electrical.Analog.Ideal.IdealClosingSwitch idealClosingSwitch; Modelica.Electrical.Analog.Ideal.IdealDiode idealDiode; Modelica.Blocks.Interfaces.BooleanInput c; equation connect(p, idealClosingSwitch.p); connect(idealClosingSwitch.n, n); connect(idealDiode.p, n); connect(idealDiode.n, p); connect(c, idealClosingSwitch.control); end IdealCBSwitch;

PVSystems.Electrical.SW1

Switched model implemented with switch + diode

PVSystems.Electrical.SW1

Information

Extends from Interfaces.SwitchNetworkInterface (Interface for the averaged switch network models).

Parameters

Type	Name	Default	Description
Real	dmin	1e-3	Minimum duty cycle [1]
Real	dmax	1	Maximum duty cycle [1]
Real	dMax	1	Maximum duty cycle
Real	dMin	0	Minimum duty cycle
Frequency	fs		Switching frequency [Hz]
Time	startTime	0	Start time [s]
Resistance	RD	1.E-5	Forward state-on differential resistance (closed resistance) [Ohm]
Voltage	VD	0	Forward threshold voltage [V]
Resistance	Ron	1.E-5	Closed switch resistance [Ohm]

Connectors

Type	Name	Description
PositivePin	p1	Positive pin of the left port (potential p1.v > n1.v for positive voltage drop v1)
NegativePin	n1	Negative pin of the left port
PositivePin	p2	Positive pin of the right port (potential p2.v > n2.v for positive voltage drop v2)
NegativePin	n2	Negative pin of the right port
input RealInput	d	Duty cycle

Modelica definition

model SW1 "Switched model implemented with switch + diode" extends Interfaces.SwitchNetworkInterface; Modelica.Electrical.Analog.Ideal.IdealClosingSwitch sw1(Ron=Ron); Modelica.Electrical.Analog.Ideal.IdealDiode sw2(Ron=RD, Vknee=VD); Control.SwitchingPWM signalPWM( dMax=dMax, dMin=dMin, fs=fs, startTime=startTime); parameter Real dMax=1 "Maximum duty cycle"; parameter Real dMin=0 "Minimum duty cycle"; parameter Modelica.SIunits.Frequency fs "Switching frequency"; parameter Modelica.SIunits.Time startTime=0 "Start time"; parameter Modelica.SIunits.Resistance RD=1.E-5 "Forward state-on differential resistance (closed resistance)"; parameter Modelica.SIunits.Voltage VD=0 "Forward threshold voltage"; parameter Modelica.SIunits.Resistance Ron=1.E-5 "Closed switch resistance"; equation connect(p1, sw1.p); connect(n1, sw1.n); connect(sw2.n, p2); connect(n2, sw2.p); connect(signalPWM.vc, d); connect(signalPWM.c1, sw1.control); end SW1;

PVSystems.Electrical.SW2

Switched model implemented with switch x 2

PVSystems.Electrical.SW2

Information

Extends from Interfaces.SwitchNetworkInterface (Interface for the averaged switch network models).

Parameters

Type	Name	Default	Description
Real	dmin	1e-3	Minimum duty cycle [1]
Real	dmax	1	Maximum duty cycle [1]
Real	dMax	1	Maximum duty cycle
Real	dMin	0	Minimum duty cycle
Frequency	fs		Switching frequency [Hz]
Time	startTime	0	Start time [s]
Resistance	RD	1.E-5	Forward state-on differential resistance (closed resistance) [Ohm]
Voltage	VD	0	Forward threshold voltage [V]
Resistance	Ron	1.E-5	Closed switch resistance [Ohm]
Time	deadTime	0	Dead time [s]

Connectors

Type	Name	Description
PositivePin	p1	Positive pin of the left port (potential p1.v > n1.v for positive voltage drop v1)
NegativePin	n1	Negative pin of the left port
PositivePin	p2	Positive pin of the right port (potential p2.v > n2.v for positive voltage drop v2)
NegativePin	n2	Negative pin of the right port
input RealInput	d	Duty cycle

Modelica definition

model SW2 "Switched model implemented with switch x 2" extends Interfaces.SwitchNetworkInterface; Modelica.Electrical.Analog.Ideal.IdealClosingSwitch sw1(Ron=Ron); Control.SwitchingPWM spwm( dMax=dMax, dMin=dMin, fs=fs, startTime=startTime); parameter Real dMax=1 "Maximum duty cycle"; parameter Real dMin=0 "Minimum duty cycle"; parameter Modelica.SIunits.Frequency fs "Switching frequency"; parameter Modelica.SIunits.Time startTime=0 "Start time"; parameter Modelica.SIunits.Resistance RD=1.E-5 "Forward state-on differential resistance (closed resistance)"; parameter Modelica.SIunits.Voltage VD=0 "Forward threshold voltage"; parameter Modelica.SIunits.Resistance Ron=1.E-5 "Closed switch resistance"; Modelica.Electrical.Analog.Ideal.IdealClosingSwitch sw2(Ron=Ron); Control.DeadTime dt(deadTime=deadTime); parameter Modelica.SIunits.Time deadTime=0 "Dead time"; equation connect(p1, sw1.p); connect(n1, sw1.n); connect(spwm.vc, d); connect(dt.c, spwm.c1); connect(dt.c1, sw1.control); connect(sw2.n, p2); connect(n2, sw2.p); connect(dt.c2, sw2.control); end SW2;

PVSystems.Electrical.SW3

Switched model implemented with switch + anti-parallel diode x 2

PVSystems.Electrical.SW3

Information

Extends from Interfaces.SwitchNetworkInterface (Interface for the averaged switch network models).

Parameters

Type	Name	Default	Description
Real	dmin	1e-3	Minimum duty cycle [1]
Real	dmax	1	Maximum duty cycle [1]
Real	dMax	1	Maximum duty cycle
Real	dMin	0	Minimum duty cycle
Frequency	fs		Switching frequency [Hz]
Time	startTime	0	Start time [s]
Resistance	RD	1.E-5	Forward state-on differential resistance (closed resistance) [Ohm]
Voltage	VD	0	Forward threshold voltage [V]
Resistance	Ron	1.E-5	Closed switch resistance [Ohm]
Time	deadTime	0	Dead time [s]

Connectors

Type	Name	Description
PositivePin	p1	Positive pin of the left port (potential p1.v > n1.v for positive voltage drop v1)
NegativePin	n1	Negative pin of the left port
PositivePin	p2	Positive pin of the right port (potential p2.v > n2.v for positive voltage drop v2)
NegativePin	n2	Negative pin of the right port
input RealInput	d	Duty cycle

Modelica definition

model SW3 "Switched model implemented with switch + anti-parallel diode x 2" extends Interfaces.SwitchNetworkInterface; Modelica.Electrical.Analog.Ideal.IdealClosingSwitch sw1(Ron=Ron); Control.SwitchingPWM spwm( dMax=dMax, dMin=dMin, fs=fs, startTime=startTime); parameter Real dMax=1 "Maximum duty cycle"; parameter Real dMin=0 "Minimum duty cycle"; parameter Modelica.SIunits.Frequency fs "Switching frequency"; parameter Modelica.SIunits.Time startTime=0 "Start time"; parameter Modelica.SIunits.Resistance RD=1.E-5 "Forward state-on differential resistance (closed resistance)"; parameter Modelica.SIunits.Voltage VD=0 "Forward threshold voltage"; parameter Modelica.SIunits.Resistance Ron=1.E-5 "Closed switch resistance"; Modelica.Electrical.Analog.Ideal.IdealClosingSwitch sw2(Ron=Ron); Control.DeadTime dt(deadTime=deadTime); Modelica.Electrical.Analog.Ideal.IdealDiode d1; Modelica.Electrical.Analog.Ideal.IdealDiode d2; parameter Modelica.SIunits.Time deadTime=0 "Dead time"; equation connect(p1, sw1.p); connect(n1, sw1.n); connect(spwm.vc, d); connect(dt.c, spwm.c1); connect(dt.c1, sw1.control); connect(sw2.n, p2); connect(n2, sw2.p); connect(dt.c2, sw2.control); connect(d1.n, sw1.p); connect(d1.p, sw1.n); connect(d2.n, p2); connect(d2.p, n2); end SW3;

PVSystems.Electrical.CCM1

Average CCM model with no losses

PVSystems.Electrical.CCM1

Information

Application: two-switch PWM converters.

Limitations: ideal switches, CCM only, no transformer.

Model taken from EM01 and EMA16.

Extends from Interfaces.SwitchNetworkInterface (Interface for the averaged switch network models).

Parameters

Type	Name	Default	Description
Real	dmin	1e-3	Minimum duty cycle [1]
Real	dmax	1	Maximum duty cycle [1]

Connectors

Type	Name	Description
PositivePin	p1	Positive pin of the left port (potential p1.v > n1.v for positive voltage drop v1)
NegativePin	n1	Negative pin of the left port
PositivePin	p2	Positive pin of the right port (potential p2.v > n2.v for positive voltage drop v2)
NegativePin	n2	Negative pin of the right port
input RealInput	d	Duty cycle

Modelica definition

model CCM1 "Average CCM model with no losses" extends Interfaces.SwitchNetworkInterface; equation 0 = p1.i + n1.i; 0 = p2.i + n2.i; v1 = (1 - dsat)/dsat*v2; -i2 = (1 - dsat)/dsat*i1; end CCM1;

PVSystems.Electrical.CCM2

Average CCM model with conduction losses

PVSystems.Electrical.CCM2

Information

Application: two-switch PWM converters, includes conduction losses due to Ron, VD, Rd.

Limitations: CCM only, no transformer.

Model taken from EM01 and EMA16.

Extends from Interfaces.SwitchNetworkInterface (Interface for the averaged switch network models).

Parameters

Type	Name	Default	Description
Real	dmin	1e-3	Minimum duty cycle [1]
Real	dmax	1	Maximum duty cycle [1]
Resistance	Ron	0	Transistor on resistance [Ohm]
Resistance	RD	0	Diode on resistance [Ohm]
Voltage	VD	0	Diode forward voltage drop [V]

Connectors

Type	Name	Description
PositivePin	p1	Positive pin of the left port (potential p1.v > n1.v for positive voltage drop v1)
NegativePin	n1	Negative pin of the left port
PositivePin	p2	Positive pin of the right port (potential p2.v > n2.v for positive voltage drop v2)
NegativePin	n2	Negative pin of the right port
input RealInput	d	Duty cycle

Modelica definition

model CCM2 "Average CCM model with conduction losses" extends Interfaces.SwitchNetworkInterface; parameter Modelica.SIunits.Resistance Ron=0 "Transistor on resistance"; parameter Modelica.SIunits.Resistance RD=0 "Diode on resistance"; parameter Modelica.SIunits.Voltage VD=0 "Diode forward voltage drop"; equation 0 = p1.i + n1.i; 0 = p2.i + n2.i; v1 = i1*(Ron/dsat + (1 - dsat)*RD/dsat^2) + (1 - dsat)/dsat*(v2 + VD); -i2 = i1*(1 - dsat)/dsat; end CCM2;

PVSystems.Electrical.CCM3

Average CCM model with no losses and tranformer

PVSystems.Electrical.CCM3

Information

Application: two-switch PWM converters, with (possibly) transformer.

Limitations: ideal switches, CCM only.

Model taken from EM01 and EMA16.

Extends from Interfaces.SwitchNetworkInterface (Interface for the averaged switch network models).

Parameters

Type	Name	Default	Description
Real	dmin	1e-3	Minimum duty cycle [1]
Real	dmax	1	Maximum duty cycle [1]
Real	n	1	Transformer turns ratio 1:n (primary:secondary) [1]

Connectors

Type	Name	Description
PositivePin	p1	Positive pin of the left port (potential p1.v > n1.v for positive voltage drop v1)
NegativePin	n1	Negative pin of the left port
PositivePin	p2	Positive pin of the right port (potential p2.v > n2.v for positive voltage drop v2)
NegativePin	n2	Negative pin of the right port
input RealInput	d	Duty cycle

Modelica definition

model CCM3 "Average CCM model with no losses and tranformer" extends Interfaces.SwitchNetworkInterface; parameter Real n(final unit="1") = 1 "Transformer turns ratio 1:n (primary:secondary)"; equation 0 = p1.i + n1.i; 0 = p2.i + n2.i; v1 = (1 - dsat)*v2/dsat/n; -i2 = (1 - dsat)*i1/dsat/n; end CCM3;

PVSystems.Electrical.CCM4

Average CCM model with conduction losses and tranformer

PVSystems.Electrical.CCM4

Information

Application: two-switch PWM converters, includes conduction losses due to Ron, VD, RD and (possibly) transformer.

Limitations: CCM only.

Model taken from EM01 and EMA16.

Extends from Interfaces.SwitchNetworkInterface (Interface for the averaged switch network models).

Parameters

Type	Name	Default	Description
Real	dmin	1e-3	Minimum duty cycle [1]
Real	dmax	1	Maximum duty cycle [1]
Resistance	Ron	0	Transistor on resistance [Ohm]
Resistance	RD	0	Diode on resistance [Ohm]
Voltage	VD	0	Diode forward voltage drop [V]
Real	n	1	Transformer turns ratio 1:n (primary:secondary) [1]

Connectors

Type	Name	Description
PositivePin	p1	Positive pin of the left port (potential p1.v > n1.v for positive voltage drop v1)
NegativePin	n1	Negative pin of the left port
PositivePin	p2	Positive pin of the right port (potential p2.v > n2.v for positive voltage drop v2)
NegativePin	n2	Negative pin of the right port
input RealInput	d	Duty cycle

Modelica definition

model CCM4 "Average CCM model with conduction losses and tranformer" extends Interfaces.SwitchNetworkInterface; parameter Modelica.SIunits.Resistance Ron=0 "Transistor on resistance"; parameter Modelica.SIunits.Resistance RD=0 "Diode on resistance"; parameter Modelica.SIunits.Voltage VD=0 "Diode forward voltage drop"; parameter Real n(final unit="1") = 1 "Transformer turns ratio 1:n (primary:secondary)"; equation 0 = p1.i + n1.i; 0 = p2.i + n2.i; v1 = i1*(Ron/dsat + (1 - dsat)*RD/n^2/dsat^2) + (1 - dsat)/dsat/n*(v2+VD); -i2 = i1*(1 - dsat)/dsat/n; end CCM4;

PVSystems.Electrical.CCM5

Average CCM model with conduction losses and diode reverse recovery

PVSystems.Electrical.CCM5

Information

Application: two-switch PWM converters, includes conduction losses due to Ron, VD and diode reverse recovery losses.

Limitations: CCM only, d'>tr/Ts, <i1> > Qr/Ts.

Model taken from EM01 and EMA16.

Extends from Interfaces.SwitchNetworkInterface (Interface for the averaged switch network models).

Parameters

Type	Name	Default	Description
Real	dmin	1e-3	Minimum duty cycle [1]
Real	dmax	1	Maximum duty cycle [1]
Resistance	Ron	0	Transistor on resistance [Ohm]
Voltage	VD	0	Diode forward voltage drop [V]
Charge	Qr		Diode reverse recovery charge [C]
Time	tr		Diode reverse recovery time [s]
Frequency	fs		Switching frequency [Hz]

Connectors

Type	Name	Description
PositivePin	p1	Positive pin of the left port (potential p1.v > n1.v for positive voltage drop v1)
NegativePin	n1	Negative pin of the left port
PositivePin	p2	Positive pin of the right port (potential p2.v > n2.v for positive voltage drop v2)
NegativePin	n2	Negative pin of the right port
input RealInput	d	Duty cycle

Modelica definition

model CCM5 "Average CCM model with conduction losses and diode reverse recovery" extends Interfaces.SwitchNetworkInterface; parameter Modelica.SIunits.Resistance Ron=0 "Transistor on resistance"; parameter Modelica.SIunits.Voltage VD=0 "Diode forward voltage drop"; parameter Modelica.SIunits.Charge Qr "Diode reverse recovery charge"; parameter Modelica.SIunits.Time tr "Diode reverse recovery time"; parameter Modelica.SIunits.Frequency fs "Switching frequency"; equation 0 = p1.i + n1.i; 0 = p2.i + n2.i; v1 = (i1 - fs*Qr)*Ron/(dsat + fs*tr) + (1 - dsat)/dsat*(v2 + VD); -i2 = i1*(1 - dsat - fs*tr)/(dsat + fs*tr) - fs*Qr/(dsat + fs*tr); end CCM5;

PVSystems.Electrical.CCM_DCM1

Average CCM-DCM model with no losses

PVSystems.Electrical.CCM_DCM1

Information

Application: two-switch PWM converters, CCM or DCM.

Limitations: ideal switches, no transformer.

Model taken from EM01 and EMA16.

Extends from Interfaces.SwitchNetworkInterface (Interface for the averaged switch network models).

Parameters

Type	Name	Default	Description
Real	dmin	1e-3	Minimum duty cycle [1]
Real	dmax	1	Maximum duty cycle [1]
Inductance	Le		Equivalent DCM inductance [H]
Frequency	fs		Switching frequency [Hz]

Connectors

Type	Name	Description
PositivePin	p1	Positive pin of the left port (potential p1.v > n1.v for positive voltage drop v1)
NegativePin	n1	Negative pin of the left port
PositivePin	p2	Positive pin of the right port (potential p2.v > n2.v for positive voltage drop v2)
NegativePin	n2	Negative pin of the right port
input RealInput	d	Duty cycle

Modelica definition

model CCM_DCM1 "Average CCM-DCM model with no losses" extends Interfaces.SwitchNetworkInterface; parameter Modelica.SIunits.Inductance Le "Equivalent DCM inductance"; parameter Modelica.SIunits.Frequency fs "Switching frequency"; protected Real mu "Effective switch conversion ratio"; Real Re "Equivalent DCM port 1 resistance"; equation 0 = p1.i + n1.i; 0 = p2.i + n2.i; Re = 2*Le*fs/dsat^2; mu = max(dsat, 1/(1 + Re*max(0,i1)/v2)); v1 = (1 - mu)/mu*v2; -i2 = (1 - mu)/mu*i1; end CCM_DCM1;

PVSystems.Electrical.CCM_DCM2

Average CCM-DCM model with no losses and transformer

PVSystems.Electrical.CCM_DCM2

Information

Application: two-switch PWM converters, CCM or DCM with (possibly) transformer.

Limitations: ideal switches.

Model taken from EM01 and EMA16.

Extends from Interfaces.SwitchNetworkInterface (Interface for the averaged switch network models).

Parameters

Type	Name	Default	Description
Real	dmin	1e-3	Minimum duty cycle [1]
Real	dmax	1	Maximum duty cycle [1]
Inductance	Le		Equivalent DCM inductance [H]
Frequency	fs		Switching frequency [Hz]
Real	n	1	Transformer turns ratio 1:n (primary:secondary) [1]

Connectors

Type	Name	Description
PositivePin	p1	Positive pin of the left port (potential p1.v > n1.v for positive voltage drop v1)
NegativePin	n1	Negative pin of the left port
PositivePin	p2	Positive pin of the right port (potential p2.v > n2.v for positive voltage drop v2)
NegativePin	n2	Negative pin of the right port
input RealInput	d	Duty cycle

Modelica definition

model CCM_DCM2 "Average CCM-DCM model with no losses and transformer" extends Interfaces.SwitchNetworkInterface; parameter Modelica.SIunits.Inductance Le "Equivalent DCM inductance"; parameter Modelica.SIunits.Frequency fs "Switching frequency"; parameter Real n(final unit="1") = 1 "Transformer turns ratio 1:n (primary:secondary)"; protected Real mu "Effective switch conversion ratio"; Real Re "Equivalent DCM port 1 resistance"; equation 0 = p1.i + n1.i; 0 = p2.i + n2.i; Re = 2*Le*n*fs/dsat^2; mu = max(dsat, 1/(1 + Re*max(0,i1)/v2)); v1 = (1 - mu)*v2/mu/n; -i2 = (1 - mu)*i1/mu/n; end CCM_DCM2;

PVSystems.Electrical.PVArray

Flexible PV array model

PVSystems.Electrical.PVArray

Information

Flexible PV array model. The model can be parametrized with the use of PV module datasheets. As a default, the data from the Kyocera KC200GT is provided. The model is presented in "Comprehensive Approach to Modeling and Simulation of Photovoltaic Arrays" by M.G. Villalva et al.

Extends from Modelica.Electrical.Analog.Interfaces.OnePort (Component with two electrical pins p and n and current i from p to n).

Parameters

Type	Name	Default	Description
Current	Imp	7.61	Maximum power current [A]
Voltage	Vmp	26.3	Maximum power voltage [V]
Current	Iscn	8.21	Short circuit current [A]
Voltage	Vocn	32.9	Open circuit voltage [V]
Real	Kv	-0.123	Voc temperature coefficient
Real	Ki	3.18e-3	Isc temperature coefficient
Real	Ns	54	Number of cells in series
Real	Np	1	Number of cells in parallel
Resistance	Rs	0.221	Equivalent series resistance of array [Ohm]
Resistance	Rp	415.405	Equivalent parallel resistance of array [Ohm]
Real	a	1.3	Diode ideality constant
Current	Ipvn	Iscn	Photovoltaic current at STC [A]

Connectors

Type	Name	Description
PositivePin	p	Positive pin (potential p.v > n.v for positive voltage drop v)
NegativePin	n	Negative pin
input RealInput	G	Solar irradiation
input RealInput	T	Panel temperature

Modelica definition

model PVArray "Flexible PV array model" extends Modelica.Electrical.Analog.Interfaces.OnePort; // Interface Modelica.Blocks.Interfaces.RealInput G "Solar irradiation"; Modelica.Blocks.Interfaces.RealInput T "Panel temperature"; // Constants constant Modelica.SIunits.Charge q=1.60217646e-19 "Electron charge"; constant Real Gn=1000 "STC irradiation"; constant Modelica.SIunits.Temperature Tn=298.15 "STC temperature"; // Basic datasheet parameters parameter Modelica.SIunits.Current Imp=7.61 "Maximum power current"; parameter Modelica.SIunits.Voltage Vmp=26.3 "Maximum power voltage"; parameter Modelica.SIunits.Current Iscn=8.21 "Short circuit current"; parameter Modelica.SIunits.Voltage Vocn=32.9 "Open circuit voltage"; parameter Real Kv=-0.123 "Voc temperature coefficient"; parameter Real Ki=3.18e-3 "Isc temperature coefficient"; // Basic model parameters parameter Real Ns=54 "Number of cells in series"; parameter Real Np=1 "Number of cells in parallel"; parameter Modelica.SIunits.Resistance Rs=0.221 "Equivalent series resistance of array"; parameter Modelica.SIunits.Resistance Rp=415.405 "Equivalent parallel resistance of array"; parameter Real a=1.3 "Diode ideality constant"; // Derived model parameters parameter Modelica.SIunits.Current Ipvn=Iscn "Photovoltaic current at STC"; // Variables Modelica.SIunits.Voltage Vt "Thermal voltage of the array"; Modelica.SIunits.Current Ipv "Photovoltaic current of the cell"; Modelica.SIunits.Current I0 "Saturation current of the cell"; Modelica.SIunits.Current Id "Diode current"; Modelica.SIunits.Current Ir "Rp current"; equation // Auxiliary variables Vt = Ns*Modelica.Constants.k*T/q; Ipv = (Ipvn + Ki*(T - Tn))*G/Gn; I0 = (Iscn + Ki*(T - Tn))/(exp((Vocn + Kv*(T - Tn))/a/Vt) - 1); Id = I0*(exp((v - Rs*i)/a/Vt) - 1); Ir = (v - Rs*i)/Rp; if v < 0 then i = v/((Rs + Rp)/Np); elseif v > Vocn then i = 0; else i = -Np*(Ipv - Id - Ir); end if; end PVArray;

PVSystems.Electrical.SimpleBattery

Simple battery model

PVSystems.Electrical.SimpleBattery

Information

Extends from Interfaces.BatteryInterface (Partial model for battery).

Parameters

Type	Name	Default	Description
Resistance	Rint	0.09	Internal resistance [Ohm]
Voltage	E0	3.7348	Constant battery voltage [V]
Voltage	K	0.00876	Polarization voltage [V]
Real	Q	1	Rated battery capacity [A.h]
Voltage	A	0.468	Exponential region amplitude [V]
Real	B	3.5294	Exponential zone time constant inverse
Real	DoDini	0	Initial Depth of Discharge [A.h]

Connectors

Type	Name	Description
PositivePin	p	Positive pin (potential p.v > n.v for positive voltage drop v)
NegativePin	n	Negative pin

Modelica definition

model SimpleBattery "Simple battery model" extends Interfaces.BatteryInterface; import Modelica.SIunits.Resistance; import Modelica.SIunits.Voltage; import Modelica.SIunits.Current; type BatteryCapacity = Real (final quantity="Energy", final unit="A.h"); // Parameters (Li-ion values as defaults) parameter Resistance Rint=0.09 "Internal resistance"; parameter Voltage E0=3.7348 "Constant battery voltage"; parameter Voltage K=0.00876 "Polarization voltage"; parameter BatteryCapacity Q=1 "Rated battery capacity"; parameter Voltage A=0.468 "Exponential region amplitude"; parameter Real B=3.5294 "Exponential zone time constant inverse"; parameter BatteryCapacity DoDini=0 "Initial Depth of Discharge"; // Variables Voltage E; BatteryCapacity it(start=DoDini, fixed=true) "Actual depth of discharge"; equation v = E + i*Rint; der(it) = -i/3600; E = max(0, E0 - K*Q/(Q - it) + A*exp(-B*it)); end SimpleBattery;

Automatically generated Mon Sep 11 16:11:46 2017.