Modelica.Electrical.QuasiStatic.SinglePhase.Basic

Basic components for AC single-phase models

Information

This package hosts basic models for quasi-static single-phase circuits. Quasi-static theory for single-phase circuits can be found in the references.

See also

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

Package Content

Name	Description
Ground	Electrical ground
Resistor	Single-phase linear resistor
Conductor	Single-phase linear conductor
Capacitor	Single-phase linear capacitor
Inductor	Single-phase linear inductor
Impedance	Single-phase linear impedance
Admittance	Single-phase linear admittance
VariableResistor	Single-phase variable resistor
VariableConductor	Single-phase variable conductor
VariableCapacitor	Single-phase variable capacitor
VariableInductor	Single-phase variable inductor
VariableImpedance	Single-phase variable impedance
VariableAdmittance	Single-phase variable admittance

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.Ground

Electrical ground

Information

Ground of a single-phase circuit. The potential at the ground node is zero. Every electrical circuit, e.g., a series resonance example, has to contain at least one ground object.

Connectors

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.Resistor

Single-phase linear resistor

Information

The linear resistor connects the complex voltage v with the complex current i by i*R = v. The resistance R is allowed to be positive, zero, or negative.

The resistor model also has an optional conditional heat port. A linear temperature dependency of the resistance is also taken into account.

See also

Conductor, Capacitor, Inductor, Impedance, Admittance, Variable resistor, Variable conductor, Variable capacitor, Variable inductor, Variable impedance, Variable admittance

Extends from Interfaces.OnePort (Two pins, current through), Modelica.Electrical.Analog.Interfaces.ConditionalHeatPort (Partial model to include a conditional HeatPort in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.Conductor

Single-phase linear conductor

Information

The linear conductor connects the voltage v with the current i by i = v*G. The conductance G is allowed to be positive, zero, or negative.

The conductor model also has an optional conditional heat port. A linear temperature dependency of the conductance is also taken into account.

See also

Resistor, Capacitor, Inductor, Impedance, Admittance, Variable resistor, Variable conductor, Variable capacitor, Variable inductor, Variable impedance, Variable admittance

Extends from Interfaces.OnePort (Two pins, current through), Modelica.Electrical.Analog.Interfaces.ConditionalHeatPort (Partial model to include a conditional HeatPort in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.Capacitor

Single-phase linear capacitor

Information

The linear capacitor connects the voltage v with the current i by i = j*ω*C*v. The capacitance C is allowed to be positive, zero, or negative.

See also

Resistor, Conductor, Inductor, Impedance, Admittance, Variable resistor, Variable conductor, Variable capacitor, Variable inductor, Variable impedance, Variable admittance

Extends from Interfaces.OnePort (Two pins, current through).

Parameters

Connectors

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.Inductor

Single-phase linear inductor

Information

The linear inductor connects the voltage v with the current i by v = j*ω*L*i. The Inductance L is allowed to be positive, zero, or negative.

See also

Resistor, Conductor, Capacitor, Impedance, Admittance, Variable resistor, Variable conductor, Variable capacitor, Variable inductor, Variable impedance, Variable admittance

Extends from Interfaces.OnePort (Two pins, current through).

Parameters

Connectors

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.Impedance

Single-phase linear impedance

Information

The impedance model represents a series connection of a resistor and either an inductor or capacitor.

The linear impedance connects the voltage v with the current i by v = Z*i. The resistive component is modeled temperature dependent, so the real part R_actual = real(Z) is determined from the actual operating temperature and the reference input resistance real(Z_ref). A conditional heat port is considered. The reactive component X_actual = imag(Z) is equal to imag(Z_ref) if frequencyDependent = false. Frequency dependency is considered by frequencyDependent = true, distinguishing two cases:

(a) imag(Z_ref) > 0: inductive case

The actual reactance X_actual is proportional to f/f_ref

(b) imag(Z_ref) < 0: capacitive case

The actual reactance X_actual is proportional to f_ref/f

See also

Resistor, Conductor, Capacitor, Admittance, Variable resistor, Variable conductor, Variable capacitor, Variable inductor, Variable impedance, Variable admittance

Extends from Interfaces.OnePort (Two pins, current through), Modelica.Electrical.Analog.Interfaces.ConditionalHeatPort (Partial model to include a conditional HeatPort in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.Admittance

Single-phase linear admittance

Information

The admittance model represents a parallel connection of a conductor and either a capacitor or inductor.

The linear admittance connects the voltage v with the current i by i = Y*v. The resistive component is modeled temperature dependent, so the real part G_actual = real(Y) is determined from the actual operating temperature and the reference input conductance real(Y_ref). A conditional heat port is considered. The reactive component B_actual = imag(Y) is equal to imag(Y_ref) if frequencyDependent = false. Frequency dependency is considered by frequencyDependent = true, distinguishing two cases:

(a) imag(Y_ref) > 0: capacitive case

The actual susceptance B_actual is proportional to f/f_ref

(b) imag(Y_ref) < 0: inductive case

The actual susceptance B_actual is proportional to f_ref/f

See also

Resistor, Conductor, Capacitor, Impedance, Variable resistor, Variable conductor, Variable capacitor, Variable inductor, Variable impedance, Variable admittance

Extends from Interfaces.OnePort (Two pins, current through), Modelica.Electrical.Analog.Interfaces.ConditionalHeatPort (Partial model to include a conditional HeatPort in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.VariableResistor

Single-phase variable resistor

Information

The linear resistor connects the voltage v with the current i by i*R = v. The resistance R is given as input signal.

The variable resistor model also has an optional conditional heat port. A linear temperature dependency of the resistance is also taken into account.

Note

A zero crossing of the R signal could cause singularities due to the actual structure of the connected network.

See also

Resistor, Conductor, Capacitor, Inductor, Impedance, Admittance, Variable conductor, Variable capacitor, Variable inductor, Variable impedance, Variable admittance

Extends from Interfaces.OnePort (Two pins, current through), Modelica.Electrical.Analog.Interfaces.ConditionalHeatPort (Partial model to include a conditional HeatPort in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.VariableConductor

Single-phase variable conductor

Information

The linear conductor connects the voltage v with the current i by i = G*v. The conductance G is given as input signal.

The variable conductor model also has an optional conditional heat port. A linear temperature dependency of the conductance is also taken into account.

See also

Resistor, Conductor, Capacitor, Inductor, Impedance, Admittance, Variable resistor, Variable capacitor, Variable inductor, Variable impedance, Variable admittance

Extends from Interfaces.OnePort (Two pins, current through), Modelica.Electrical.Analog.Interfaces.ConditionalHeatPort (Partial model to include a conditional HeatPort in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.VariableCapacitor

Single-phase variable capacitor

Information

The linear capacitor connects the voltage v with the current i by i = j*ω*C*v. The capacitance C is given as input signal.

Note

The abstraction of a variable capacitor at quasi-static operation assumes:

.

See also

Resistor, Conductor, Capacitor, Inductor, Impedance, Admittance, Variable resistor, Variable conductor, Variable inductor, Variable impedance, Variable admittance

Extends from Interfaces.OnePort (Two pins, current through).

Connectors

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.VariableInductor

Single-phase variable inductor

Information

The linear inductor connects the branch voltage v with the branch current i by v = j*ω*L*i. The inductance L is given as input signal.

Note

The abstraction of a variable inductor at quasi-static operation assumes:

See also

Resistor, Conductor, Capacitor, Inductor, Impedance, Admittance, Variable resistor, Variable conductor, Variable capacitor, Variable impedance, Variable admittance,

Extends from Interfaces.OnePort (Two pins, current through).

Connectors

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.VariableImpedance

Single-phase variable impedance

Information

The impedance model represents a series connection of a resistor and either an inductor or capacitor.

The linear impedance connects the complex voltage v with the complex current i by i*Z = v. The impedance Z_ref = R_ref + j*X_ref is given as complex input signal, representing the resistive and reactive component of the input impedance. The resistive component is modeled temperature dependent, so the real part R_actual = real(Z) is determined from the actual operating temperature and the reference input resistance real(Z_ref). The reactive component X_actual = imag(Z) is equal to imag(Z_ref) if frequencyDependent = false. Frequency dependency is considered by frequencyDependent = true, distinguishing two cases:

(a) imag(Z_ref) > 0: inductive case

The actual reactance X_actual is proportional to f/f_ref

(b) imag(Z_ref) < 0: capacitive case

The actual reactance X_actual is proportional to f_ref/f

Note

A zero crossing of the real or imaginary part of the impedance signal Z_ref could cause singularities due to the actual structure of the connected network.

See also

Resistor, Conductor, Capacitor, Inductor, Impedance, Admittance, Variable resistor, Variable conductor, Variable capacitor, Variable inductor, Variable admittance

Extends from Interfaces.OnePort (Two pins, current through), Modelica.Electrical.Analog.Interfaces.ConditionalHeatPort (Partial model to include a conditional HeatPort in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStatic.SinglePhase.Basic.VariableAdmittance

Single-phase variable admittance

Information

The admittance model represents a parallel connection of a conductor and either a capacitor or inductor.

The linear admittance connects the complex voltage v with the complex current i by v*Y = i. The admittance Y_ref = G_ref + j*B_ref is given as complex input signal, representing the resistive and reactive component of the input admittance. The resistive component is modeled temperature dependent, so the real part G_actual = real(Y) is determined from the actual operating temperature and the reference input conductance real(Y_ref). The reactive component B_actual = imag(Y) is equal to imag(Y_ref) if frequencyDependent = false. Frequency dependency is considered by frequencyDependent = true, distinguishing two cases:

(a) imag(Y_ref) > 0: capacitive case

The actual susceptance B_actual is proportional to f/f_ref

(b) imag(Y_ref) < 0: inductive case

The actual susceptance B_actual is proportional to f_ref/f

Note

A zero crossing of the real or imaginary part of the admittance signal Y_ref could cause singularities due to the actual structure of the connected network.

See also

Resistor, Conductor, Capacitor, Inductor, Impedance, Admittance, Variable resistor, Variable conductor, Variable capacitor, Variable inductor, Variable impedance

Extends from Interfaces.OnePort (Two pins, current through), Modelica.Electrical.Analog.Interfaces.ConditionalHeatPort (Partial model to include a conditional HeatPort in order to describe the power loss via a thermal network).

Parameters

Connectors