ModelingToolkitStandardLibrary: Electrical Components

Pin(; name)

A pin in an analog circuit.

States:

• v(t): [V] The voltage at this pin
• i(t): [A] The current passing through this pin

OnePort(; name, v_start=0.0, i_start=0.0)

Component with two electrical pins p and n and current i flows from p to n.

States:

• v(t): [V] The voltage across component p.v - n.v
• i(t): [A] The current passing through positive pin

Parameters:

• v_start: [V] Initial voltage across the component
• i_start: [A] Initial current through the component

Connectors:

• p Positive pin
• n Negative pin

DigitalPin(; name)

A pin in a digital circuit.

States:

• v(t): [V] The voltage at this pin
• i(t): [A] The current passing through this pin
• val(t): The binary value of the pin at this point. A voltage from 0V to 0.8V is a binary value of 0.

A voltage in the range 2.0V to 5.0V is 1. Any other value is X.

Ground(; name)

Ground node with the potential of zero and connector g. Every circuit must have one ground node.

Connectors:

• g

Resistor(; name, R)

Creates an ideal Resistor following Ohm's Law.

States:

See OnePort

Connectors:

• p Positive pin
• n Negative pin

Parameters:

• R: [Ω] Resistance

Conductor(;name, G)

Creates an ideal conductor.

States:

See OnePort

Connectors:

• p Positive pin
• n Negative pin

Parameters:

• G: [S] Conductance

Capacitor(; name, C)

Creates an ideal capacitor.

States:

• v(t): [V] The voltage across the capacitor, given by D(v) ~ p.i / C

Connectors:

• p Positive pin
• n Negative pin

Parameters:

• C: [F] Capacitance
• v_start: [V] Initial voltage of capacitor

Inductor(; name, L)

Creates an ideal Inductor.

States:

See OnePort

Connectors:

• p Positive pin
• n Negative pin

Parameters:

• L: [H] Inductance
• i_start: [A] Initial current through inductor

IdealOpAmp(; name)

Ideal operational amplifier (norator-nullator pair). The ideal OpAmp is a two-port. The left port is fixed to v1 = 0 and i1 = 0 (nullator). At the right port both any voltage v2 and any current i2 are possible (norator).

States:

See TwoPort

Connectors:

• p1 Positive pin (left port)
• p2 Positive pin (right port)
• n1 Negative pin (left port)
• n2 Negative pin (right port)

CurrentSensor(; name)

Creates a circuit component that measures the current flowing through it. Analogous to an ideal ammeter.

States:

• i(t): [A] Current through the sensor

Connectors:

• p Positive pin
• n Negative pin

PotentialSensor(; name)

Creates a circuit component which measures the potential at a pin.

States:

• phi(t): [V] The measured potential at this point

Connectors:

• p Pin at which potential is to be measured

VoltageSensor(; name)

Creates a circuit component that measures the voltage across it. Analogous to an ideal voltmeter.

States:

• v(t): [V] The voltage difference form positive to negative pin p.v - n.v

Connectors:

• p Positive pin
• n Negative pin

PowerSensor(; name)

Combines a VoltageSensor and a CurrentSensor to measure the power being consumed by a circuit.

States:

• power(t): [W] The power being consumed, given by the product of voltage and current.
• See VoltageSensor
• See CurrentSensor

Connectors:

• pc Corresponds to the p pin of the CurrentSensor
• nc Corresponds to the n pin of the CurrentSensor
• pv Corresponds to the p pin of the VoltageSensor
• nv Corresponds to the n pin of the VoltageSensor

MultiSensor(; name)

Combines a VoltageSensor and a CurrentSensor.

States:

• v(t): [V] The voltage across the VoltageSensor
• i(t): [A] The current across the CurrentSensor

Connectors:

• pc Corresponds to the p pin of the CurrentSensor
• nc Corresponds to the n pin of the CurrentSensor
• pv Corresponds to the p pin of the VoltageSensor
• nv Corresponds to the n pin of the VoltageSensor