Sequence Analyzer

Calculate the magnitude and phase of the positive, negative, or zero sequence of a three-phase signal

Libraries:
Simscape / Electrical / Control / Measurements

Description

The Sequence Analyzer block takes a three-phase signal (usually voltage) as the input and outputs the magnitude and phase of the positive, negative, or zero sequence.

The input signals are first converted to phasor representation based on the base frequency and harmonic specified in the block mask. The block then transforms the phasor into a sequence of components..

You can represent the zero, positive, and negative sequence components with V₀, V₁, V₂ in phasor representation; V_a, V_b, V_c are the voltage of three phases. The sequence components are computed as:

$[\begin{matrix} V_{0} \\ V_{1} \\ V_{2} \end{matrix}] = \frac{1}{3} [\begin{matrix} 1 & 1 & 1 \\ 1 & a & a^{2} \\ 1 & a^{2} & a^{2} \end{matrix}] [\begin{matrix} V_{a} \\ V_{b} \\ V_{c} \end{matrix}]$

where $a = e^{j \frac{2}{3} π}$ .

Limitations

Because the computation of the three-phase signal requires integration over a full cycle, the output of the sequence analyzer is not accurate during the first period.
If the base frequency or the harmonic change during the simulation, the output signal is not accurate.

Ports

Input

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u — Periodic input signal
vector

Periodic input signal, specified as a vector of three elements.

Output

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mag — Magnitude
scalar | vector

Magnitude of the positive, negative, or zero sequence. Depending on the harmonic numbers, this output is a scalar or a vector.

angle — Phase shift
scalar | vector

Phase shift, in degrees, of the positive, negative, or zero sequence. Depending on the harmonic numbers, this output is a scalar or a vector.

Parameters

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Base frequency (Hz) — Base frequency
`60` (default)

Base frequency of the input signal in Hz.

Harmonic numbers — Harmonic numbers
`[1 2]` (default) | scalar or vector

Scalar or vector of the harmonic numbers. 1 stands for base frequency and 2 is the second harmonic.

Sequence — Sequence selection
`Positive` (default) | `Negative` | `Zero`

Select whether the magnitude and phase of the sequence is positive, negative or zero.

Sample Time (s) — Block sample time
`0` (default)

Time between consecutive block executions. During execution, the block produces outputs and, if appropriate, updates its internal state. For more information, see What Is Sample Time? and Specify Sample Time.

For inherited discrete-time operation, specify -1. For discrete-time operation, specify a positive integer. For continuous-time operation, specify 0.

If this block is in a masked subsystem, or other variant subsystem that allows you to switch between continuous operation and discrete operation, promote the sample time parameter. Promoting the sample time parameter ensures correct switching between the continuous and discrete implementations of the block. For more information, see Promote Block Parameters on a Mask.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2019b

Sequence Analyzer

Description

Limitations

Ports

Input

u — Periodic input signal vector

Output

mag — Magnitude scalar | vector

angle — Phase shift scalar | vector

Parameters

Base frequency (Hz) — Base frequency 60 (default)

Harmonic numbers — Harmonic numbers [1 2] (default) | scalar or vector

Sequence — Sequence selection Positive (default) | Negative | Zero

Sample Time (s) — Block sample time 0 (default)

Extended Capabilities

C/C++ Code Generation Generate C and C++ code using Simulink® Coder™.

Version History

u — Periodic input signal
vector

mag — Magnitude
scalar | vector

angle — Phase shift
scalar | vector

Base frequency (Hz) — Base frequency
`60` (default)

Harmonic numbers — Harmonic numbers
`[1 2]` (default) | scalar or vector

Sequence — Sequence selection
`Positive` (default) | `Negative` | `Zero`

Sample Time (s) — Block sample time
`0` (default)

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.