Package com.powsybl.openloadflow.ac.equations.asym

Class LoadFortescuePowerEquationTerm

java.lang.Object

com.powsybl.openloadflow.equations.AbstractEquationTerm<V,E>

com.powsybl.openloadflow.equations.AbstractNamedEquationTerm<V,E>

com.powsybl.openloadflow.equations.AbstractElementEquationTerm<LfBus,AcVariableType,AcEquationType>

com.powsybl.openloadflow.ac.equations.asym.LoadFortescuePowerEquationTerm

All Implemented Interfaces:

EquationTerm<AcVariableType,AcEquationType>, Evaluable

public class LoadFortescuePowerEquationTerm
extends AbstractElementEquationTerm<LfBus,AcVariableType,AcEquationType>

Author:

Jean-Baptiste Heyberger <jbheyberger at gmail.com>

Nested Class Summary

Nested classes/interfaces inherited from interface com.powsybl.openloadflow.equations.EquationTerm

EquationTerm.MultiplyByScalarEquationTerm<V extends Enum<V> & Quantity,E extends Enum<E> & Quantity>

Field Summary

Fields

Modifier and Type	Field	Description
protected final Variable<AcVariableType>	phVar
protected final Variable<AcVariableType>	phVarNegative
protected final Variable<AcVariableType>	phVarZero
protected final List<Variable<AcVariableType>>	variables
protected final Variable<AcVariableType>	vVar
protected final Variable<AcVariableType>	vVarNegative
protected final Variable<AcVariableType>	vVarZero

Fields inherited from class com.powsybl.openloadflow.equations.AbstractElementEquationTerm

element

Fields inherited from class com.powsybl.openloadflow.equations.AbstractEquationTerm

self, sv

Constructor Summary

Constructors

Constructor	Description
LoadFortescuePowerEquationTerm(LfBus bus, VariableSet<AcVariableType> variableSet, ComplexPart complexPart, Fortescue.SequenceType sequenceType)

Method Summary

Modifier and Type	Method	Description
static com.powsybl.math.matrix.DenseMatrix	createCartesianMatrix(double m1x, double m1y, double m2x, double m2y, double m3x, double m3y, boolean isVector)	if this is a vector we build: m = [m1x;m1y;m2x;m2y;m3x;m3y] equivalent in complex to [m1;m2;m3] if not, this is a 6x6 square matrix expected: [m1x -m1y 0 0 0 0 ] [m1y m1x 0 0 0 0 ] [ 0 0 m2x -m2y 0 0 ] [m1 0 0] m = [ 0 0 m2y m2x 0 0 ] equivalent in complex to [ 0 m2 0] [ 0 0 0 0 m3x -m3y] [ 0 0 m3] [ 0 0 0 0 m3y m3x]
static com.powsybl.math.matrix.DenseMatrix	createInvVabcSquare(LfBus bus, double vAx, double vAy, double vBx, double vBy, double vCx, double vCy)
double	der(Variable<AcVariableType> variable)	Get partial derivative.
static double	dpq(LfBus bus, ComplexPart complexPart, Fortescue.SequenceType sequenceType, Variable<AcVariableType> derVariable, double vo, double pho, double vd, double phd, double vi, double phi)	We derivate the PQ formula with complex matrices: [So] [dVo/dx 0 0] [1/Va 0 0] [Sa] [Vo 0 0] [Sa 0 0] [1/Va 0 0] [1/Va 0 0] [dV0/dx] d( [Sd] )/dx = 1/3 .
double	eval()	Evaluate equation term.
String	getName()
List<Variable<AcVariableType>>	getVariables()	Get the list of variable this equation term depends on.
double	ph(Fortescue.SequenceType g)
static double	pq(LfBus bus, ComplexPart complexPart, Fortescue.SequenceType sequenceType, double vZero, double phZero, double vPositive, double phPositive, double vNegative, double phNegative)	We use the formula with complex matrices: [So] [Vo 0 0] [1/Va 0 0] [Sa] [Sd] = [0 Vd 0].
double	v(Fortescue.SequenceType g)

Methods inherited from class com.powsybl.openloadflow.equations.AbstractElementEquationTerm

getElementNum, getElementType

Methods inherited from class com.powsybl.openloadflow.equations.AbstractNamedEquationTerm

write

Methods inherited from class com.powsybl.openloadflow.equations.AbstractEquationTerm

calculateSensi, getChildren, getEquation, hasRhs, isActive, rhs, setActive, setEquation, setSelf, setStateVector

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface com.powsybl.openloadflow.equations.EquationTerm

eval, minus, multiply, multiply

Field Details

vVar

protected final Variable<AcVariableType> vVar

phVar

protected final Variable<AcVariableType> phVar

vVarNegative

protected final Variable<AcVariableType> vVarNegative

phVarNegative

protected final Variable<AcVariableType> phVarNegative

vVarZero

protected final Variable<AcVariableType> vVarZero

phVarZero

protected final Variable<AcVariableType> phVarZero

variables

protected final List<Variable<AcVariableType>> variables

Constructor Details

LoadFortescuePowerEquationTerm

public LoadFortescuePowerEquationTerm(LfBus bus,
 VariableSet<AcVariableType> variableSet,
 ComplexPart complexPart,
 Fortescue.SequenceType sequenceType)

Method Details

ph

public double ph(Fortescue.SequenceType g)

v

public double v(Fortescue.SequenceType g)

pq

public static double pq(LfBus bus,
 ComplexPart complexPart,
 Fortescue.SequenceType sequenceType,
 double vZero,
 double phZero,
 double vPositive,
 double phPositive,
 double vNegative,
 double phNegative)

We use the formula with complex matrices: [So] [Vo 0 0] [1/Va 0 0] [Sa] [Sd] = [0 Vd 0]. 1/3 . [F] . [0 1/Vb 0] . [Sb] [Si] [0 0 Vi] [0 0 1/Vc] [Sc] <------------------------------> term (Ifortescue)* <-------------------------------------------> term Sfortescue

dpq

public static double dpq(LfBus bus,
 ComplexPart complexPart,
 Fortescue.SequenceType sequenceType,
 Variable<AcVariableType> derVariable,
 double vo,
 double pho,
 double vd,
 double phd,
 double vi,
 double phi)

We derivate the PQ formula with complex matrices: [So] [dVo/dx 0 0] [1/Va 0 0] [Sa] [Vo 0 0] [Sa 0 0] [1/Va 0 0] [1/Va 0 0] [dV0/dx] d( [Sd] )/dx = 1/3 . [0 dVd/dx 0] . [F] . [0 1/Vb 0] . [Sb] + [0 Vd 0] . [F] .(-1/3). [0 Sb 0] . [0 1/Vb 0] . [0 1/Vb 0] . [F] . [dVd/dx] [Si] [0 0 dVi/dx] [0 0 1/Vc] [Sc] [0 0 Vi] [0 0 Sc] [0 0 1/Vc] [0 0 1/Vc] [dVi/dx] <--------------------------------------------> <-----------------------------------------------------------------------> term T1 term (dIfortescue)* <-----------------------------------------------------------------------------------> term T2

eval

public double eval()

Description copied from interface: EquationTerm

Evaluate equation term.

Returns:

value of the equation term

der

public double der(Variable<AcVariableType> variable)

Description copied from interface: EquationTerm

Get partial derivative.

Parameters:

variable - the variable the partial derivative is with respect to

Returns:

value of the partial derivative

getName

public String getName()

Specified by:

getName in class AbstractNamedEquationTerm<AcVariableType,AcEquationType>

getVariables

public List<Variable<AcVariableType>> getVariables()

Description copied from interface: EquationTerm

Get the list of variable this equation term depends on.

Returns:

the list of variable this equation term depends on.

createInvVabcSquare

public static com.powsybl.math.matrix.DenseMatrix createInvVabcSquare(LfBus bus,
 double vAx,
 double vAy,
 double vBx,
 double vBy,
 double vCx,
 double vCy)

createCartesianMatrix

public static com.powsybl.math.matrix.DenseMatrix createCartesianMatrix(double m1x,
 double m1y,
 double m2x,
 double m2y,
 double m3x,
 double m3y,
 boolean isVector)

if this is a vector we build: m = [m1x;m1y;m2x;m2y;m3x;m3y] equivalent in complex to [m1;m2;m3] if not, this is a 6x6 square matrix expected: [m1x -m1y 0 0 0 0 ] [m1y m1x 0 0 0 0 ] [ 0 0 m2x -m2y 0 0 ] [m1 0 0] m = [ 0 0 m2y m2x 0 0 ] equivalent in complex to [ 0 m2 0] [ 0 0 0 0 m3x -m3y] [ 0 0 m3] [ 0 0 0 0 m3y m3x]