Engee documentation

Circuit Breaker (with arc)

Single-pole single-position switch with a Mayr arc.

blockType: AcausalElectricPowerSystems.Switches.CircuitBreakerWithArc

Path in the library:

/Physical Modeling/Electrical/Switches & Breakers/Circuit Breaker (with arc)

Description

Block Circuit Breaker (with arc) It is a single-pole switch with the Mayr arc model, controlled by an external control signal . If the value is less than the threshold value, then the switch is closed. If the value is If the value is greater than or equal to the threshold value, the switch opens to form an arc during a current interruption. An external signal can repeatedly open and close the switch.

The table below shows how the external signal controls the behavior of the block.

Condition Block behavior

< Threshold

The switch is closed. Port 1 is connected to port 2.

Threshold

The switch is either opening or already open. Port 1 is connected to port 2 via non-linear conduction.

Block Circuit Breaker (with arc) requires more computing power than a block Circuit Breaker. If the accuracy of calculating the current or arc voltage is the main requirement, then use the block Circuit Breaker (with arc) and a global solver with variable pitch. Otherwise, use the block Circuit Breaker.

The equations of the Mayr arc model

The defining equations for the switch are

and

where

  • — the conductivity of the arc;

  • — internal state variable;

  • — voltage on the switch;

  • — current through the switch.

When the switch is closed:

When the switch opens or is open:

where

  • — arc time constant;

  • — output power.

Ports

Conserving

# 2 — electrical port
electricity

Details

Non-directional electrical port.

Program usage name

p2

# - — negative port
electricity

Details

The electrical port connected to the negative terminal.

Dependencies

To use this port, set the parameter Тип порта управления value Electrical.

Program usage name

n_control

# + — positive port
electricity

Details

The electrical port connected to the positive terminal.

Dependencies

To use this port, set the parameter Тип порта управления value Electrical.

Program usage name

p_control

# 1 — electrical port
electricity

Details

Non-directional electrical port.

Program usage name

p1

Input

# vT — Control port
scalar

Details

The input port that controls the state of the switch.

Dependencies

To use this port, set the parameter Тип порта управления value Signal.

Data types

Float64

Complex numbers support

I don’t

Parameters

Parameters

# Cooling power, P — output power
W | uW | mW | kW | MW | GW | V*A | HP_DIN

Details

Output power .

Units

W | uW | mW | kW | MW | GW | V*A | HP_DIN

Default value

30900.0 W

Program usage name

P

Evaluatable

Yes

# Threshold — Threshold voltage
V | uV | mV | kV | MV

Details

The threshold voltage for the control port is vT. The unit uses a threshold voltage and a signal value at the beginning of the simulation, to determine whether the switch is initially open or closed. When the voltage rises above the threshold value, the switch opens. When the voltage at the control port drops below the threshold value, the switch closes.

Units

V | uV | mV | kV | MV

Default value

0.5 V

Program usage name

threshold

Evaluatable

Yes

# Initial arc conductance, g0 — initial conductivity of the arc
S | nS | uS | mS

Details

Conductivity between ports 1 and 2 when the switch is closed.

Units

S | nS | uS | mS

Default value

1.0e4 S

Program usage name

g_start

Evaluatable

Yes

# Arc time constant, τ — arc time constant
s | ns | us | ms | min | hr | d

Details

The time constant for the Mayr arc.

Units

s | ns | us | ms | min | hr | d

Default value

0.3e-6 s

Program usage name

tau

Evaluatable

Yes

Main

# Тип порта управления — setting the scalar or electrical control port
Signal | Electrical

Details

Select what is used to control the state of the switch: scalar signal or the potential difference at ports + and .

Values

Signal | Electrical

Default value

Signal

Program usage name

control_type

Evaluatable

No

Literature

  1. Schavemaker, P. H., and L. Van der Sluis. The Arc Model Blockset. Proceedings of the Second IASTED International Conference POWER AND ENERGY SYSTEMS (EuroPES). Crete, Greece, June 25–28, 2002, pp. 644–648.