PVSystems.Control.Assemblies

Name	Description
Inverter1phCurrentController	Simple synchronous reference frame PI current controller
Inverter1phCompleteController	Complete synchronous reference frame inverter controller

Synchronous reference frame current controller for a 1-phase inverter. It takes the measured and the dq setpoints and calculates the duty cycle, which can be then used as the input to the SignalPWM block in switching models or directly as the input of the switch or converter in averaged models.

The control is performed with two LimPID blocks (one per component) configured as a PI controller.

Parameters

Connectors

Modelica definition

Type	Name	Default	Description
Real	k	0.1	PI controllers gain [1]
Time	T	0.01	PI controllers time constant (T>0 required) [s]
Frequency	fline	50	AC line frequency [Hz]
Real	idMax	Modelica.Constants.inf	Maximum effort for id loop
Real	iqMax	Modelica.Constants.inf	Maximum effort for iq loop

Type	Name	Description
input RealInput	i	Sensed current
input RealInput	ids	Current d component setpoint
input RealInput	iqs	Current q component setpoint
input RealInput	theta	Sensed AC voltage phase
input RealInput	vdc	Sensed DC voltage
output RealOutput	d	Duty cycle output

block Inverter1phCurrentController "Simple synchronous reference frame PI current controller" extends Modelica.Blocks.Icons.Block; parameter Real k(final unit="1") = 0.1 "PI controllers gain"; parameter Modelica.SIunits.Time T(final min=Modelica.Constants.small) = 0.01 "PI controllers time constant (T>0 required)"; parameter Modelica.SIunits.Frequency fline=50 "AC line frequency"; parameter Real idMax=Modelica.Constants.inf "Maximum effort for id loop"; parameter Real iqMax=Modelica.Constants.inf "Maximum effort for iq loop"; Park park; Modelica.Blocks.Nonlinear.FixedDelay T4Delay(delayTime=1/4/fline); Modelica.Blocks.Continuous.LimPID idPI( k=k, controllerType=Modelica.Blocks.Types.SimpleController.PI, Ti=T, yMax=idMax); Modelica.Blocks.Continuous.LimPID iqPI( k=k, controllerType=Modelica.Blocks.Types.SimpleController.PI, Ti=T, yMax=iqMax); InversePark inversePark; Modelica.Blocks.Sources.Constant dOffset(k=0.5); Modelica.Blocks.Interfaces.RealInput i "Sensed current"; Modelica.Blocks.Interfaces.RealInput ids "Current d component setpoint"; Modelica.Blocks.Interfaces.RealInput iqs "Current q component setpoint"; Modelica.Blocks.Interfaces.RealInput theta "Sensed AC voltage phase"; Modelica.Blocks.Interfaces.RealInput vdc "Sensed DC voltage"; Modelica.Blocks.Interfaces.RealOutput d "Duty cycle output"; Modelica.Blocks.Math.Division dScaling; Modelica.Blocks.Math.Add dCalc; equation // Connections connect(park.beta, T4Delay.y); connect(iqPI.y, inversePark.q); connect(idPI.y, inversePark.d); connect(i, park.alpha); connect(i, T4Delay.u); connect(inversePark.theta, theta); connect(inversePark.alpha, dScaling.u1); connect(vdc, dScaling.u2); connect(dScaling.y, dCalc.u2); connect(dCalc.y, d); connect(theta, park.theta); connect(dOffset.y, dCalc.u1); connect(idPI.u_s, ids); connect(idPI.u_m, park.d); connect(park.q, iqPI.u_m); connect(iqPI.u_s, iqs); end Inverter1phCurrentController;

PVSystems.Control.Assemblies.Inverter1phCompleteController

Information

An additional LimPID block is used to closed the DC voltage loop around the d component of the AC current, using Inverter1phCurrentController.

Currently, this block doesn't provide control of the q component, which is set to 0.

Parameters

Connectors

Modelica definition

Type	Name	Default	Description
Real	ik	0.1	Current PI gain
Time	iT	0.01	Current PI time constant [s]
Real	idMax	Modelica.Constants.inf	Maximum effort for id loop
Real	iqMax	Modelica.Constants.inf	Maximum effort for iq loop
Real	vk	0.1	Voltage PI gain
Time	vT	0.01	Voltage PI time constant [s]
Real	vdcMax	Modelica.Constants.inf	Maximum effort for vdc loop
Frequency	fline	50	Line frequency [Hz]

Type	Name	Description
input RealInput	iac	AC current sense
input RealInput	vac	AC voltage sense
input RealInput	idc	DC current sense
input RealInput	vdc	DC voltage sense
output RealOutput	d	Duty cycle

block Inverter1phCompleteController "Complete synchronous reference frame inverter controller" extends Modelica.Blocks.Icons.Block; // Parameters parameter Real ik=0.1 "Current PI gain"; parameter Modelica.SIunits.Time iT=0.01 "Current PI time constant"; parameter Real idMax=Modelica.Constants.inf "Maximum effort for id loop"; parameter Real iqMax=Modelica.Constants.inf "Maximum effort for iq loop"; parameter Real vk=0.1 "Voltage PI gain"; parameter Modelica.SIunits.Time vT=0.01 "Voltage PI time constant"; parameter Real vdcMax=Modelica.Constants.inf "Maximum effort for vdc loop"; parameter Modelica.SIunits.Frequency fline=50 "Line frequency"; // Interface Modelica.Blocks.Interfaces.RealInput iac "AC current sense"; Modelica.Blocks.Interfaces.RealInput vac "AC voltage sense"; Modelica.Blocks.Interfaces.RealInput idc "DC current sense"; Modelica.Blocks.Interfaces.RealInput vdc "DC voltage sense"; Modelica.Blocks.Interfaces.RealOutput d "Duty cycle"; // Components Modelica.Blocks.Sources.Constant iqs(k=0); PVSystems.Control.MPPTController mppt( sampleTime=1, vrefStep=0.5, pkThreshold=0.5, vrefStart=15); Modelica.Blocks.Continuous.LimPID vdcPI( k=vk, controllerType=Modelica.Blocks.Types.SimpleController.PI, Ti=vT, yMax=vdcMax); Inverter1phCurrentController currentController( k=ik, T=iT, fline=fline, idMax=idMax, iqMax=iqMax); PLL pLL(frequency=fline); Modelica.Blocks.Sources.RealExpression vdcClone(y=vdc); Modelica.Blocks.Math.Gain invertIds(k=-1); equation connect(currentController.d, d); connect(idc, mppt.u2); connect(vdc, mppt.u1); connect(iac, currentController.i); connect(iqs.y, currentController.iqs); connect(vac, pLL.v); connect(pLL.theta, currentController.theta); connect(vdcClone.y, currentController.vdc); connect(mppt.y, vdcPI.u_s); connect(vdc, vdcPI.u_m); connect(vdcPI.y, invertIds.u); connect(invertIds.y, currentController.ids); end Inverter1phCompleteController;