1 © 2013 MathWorks, Inc.

SimPowerSystems Model and simulate electrical power systems

Javier Gazzarri

Tom Priestley

Marc Semma

General Electric

2

𝑚𝑥 + 𝐵𝑥 + 𝑘𝑥 = F

𝑥 = 1

𝑚𝐹 − 𝑘𝑥 − 𝐵𝑥

3

Simulink

– Signal-based modeling

– Causal

R1

C1 v1

i +

_

R1

C1

i2

+

_ i3

i1 R2

C2 v2

Simscape

– Network-based modeling

– Acausal

4

Agenda

- Physical Modeling – A different way to think your design

- Electrical network modeling

- Asynchronous motor

- Grid synchronization

- C-code generation

- Power quality analysis

- Aircraft electrical network

- Fidelity vs. speed

5

Simscape

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𝑉 − 𝑉𝑒𝑚𝑓 − 𝐼𝑅 = 𝐿𝑑𝐼

𝑑𝑡

𝑑2𝜃

𝑑𝑡2=

1

𝐽𝑇

𝑇 = 𝐾𝐼 𝑉𝑒𝑚𝑓 = 𝐾𝜔

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Demo

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SimPowerSystems

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SimPowerSystems

Physical Modeling of

– Electrical power systems

– Electric drives

Model topology – schematic circuit

25 kV Distribution Network Discrete,

Ts = Ts s.

ABC

abc

Three-Phase Breaker

Voltage_B1_B3

PQ

Measurements

Iabc_B3

Vabc_B3

A B C

D-STATCOM

+/- 3Mv ar

Av erage

A B C

a b cBstatcom

A

B

C

a

b

c

B3

A

B

C

a

b

c

B2

A

B

C

a

b

c

B1

A B C

Arc Furnace

+

A B C

3 MW

0.2 Mvar

A

B

C

abc

n2

25kV / 600V

a

b

c

A

B

C

25 kV, 100MVA

System

N

A

B

C

25 KV

Source

a

b

c

A

B

C

21-km

Feeder

2-km

Feeder

A B C

1 MW

A B CA B C

FaultSimulation

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Electrical System Analysis

Display steady-state V and I

Display impedance measurements

FFT analysis

Report generation

Multiple simulation modes

– Continuous

– Discrete

– Phasor

11

12

13

SimPowerSystems @ GE

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SimPowerSystems @ GE

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AC Asynchronous Motor

16

17

DEMO

Automatic C-Code Generation

18

Grid Connection

DEMO

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After 9 cycles

Phase lock

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Synchronization

Too early OK

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Real-Time Testing

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Real-Time Testing

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Electrodynamics Associates

High-Performance Generator Controller

Simulink and xPC Target

Challenge To design a 200 KW generator capable of achieving

62,000 RPM

Solution Use MathWorks tools to model the generator, power

electronics system, and control loop; provide real-time

control for laboratory tests and the customer deliverable

Results Costly hardware prototypes avoided

Project deadlines met with automatically generated

code

Reusable models reduce future development time

“Other tools only allowed us to

view certain parameters on the

machine. Now, we can look at all

of them. MathWorks tools are

orders of magnitude better than

any other tool on the market.”

Jay Vaidya

Electrodynamics Associates

High-performance generator

controller.

Link to user story

23

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Sharing Models

Model Developer

Simscape + SimPowerSystems

Model Users

Simscape

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Summary

- Physical Modeling

- Simscape – A different way to think your system

- Physical network approach

- SimPowerSystems

- Physical modeling of electrical systems

- 3-phase power systems

- Power quality

- Control integration

- Grid synchronization

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Thank You