SVPWM

[FF003]

Hi everyone,

I want to simulate a three phase grid connected inverter with SVPWM. My question is, how can I find the magnitude of carrier to compare with reference voltage for generating pulse switches. I attached the reference voltage with random carrier magnitude, but I don't know how to calculate the exact value for my system. Thanks.

 

[BradtheRad]

The two waveforms can be in the same range of amplitude.
The carrier frequency is much greater than the fundamental.

 

[D.A.(Tony)Stewart]

Are you familar with the Clarke transformation? or fundamental SVPWM State tables?

What tools do you have access to or need to learn? Matlab? Simulink?

This is what GPT3.5 had to say...
To simulate a three-phase grid-connected inverter using Space Vector Pulse Width Modulation (SVPWM), you need to determine the magnitude of the carrier signal to compare with the reference voltage for generating pulse switches. Here's a general procedure to find the magnitude of the carrier signal:

1. Determine the switching frequency: The switching frequency is typically chosen based on the requirements of the system, such as the desired output frequency and the characteristics of the power devices used in the inverter. Let's denote this frequency as fsw
2. Choose a modulation index (M): The modulation index (MM) is the ratio of the amplitude of the reference voltage to the amplitude of the carrier signal. It determines the shape and magnitude of the output voltage waveform. Generally, it lies between 0 and 1.
3. Calculate the peak amplitude of the reference voltage: This depends on the specific control strategy and the application requirements. Let's denote this as Vref_peak
4. Calculate the peak amplitude of the carrier signal (A): The peak amplitude of the carrier signal is half of the peak-to-peak value of the carrier waveform. It is chosen such that the desired switching frequency is achieved. You can calculate it using the formula:
   
5. Calculate the RMS value of the carrier signal: This value is used for power calculations and to determine losses in the inverter.
   
6. Implement SVPWM algorithm: Once you have determined the peak amplitude of the carrier signal, you can use it along with the reference voltage to generate the switching signals according to the SVPWM algorithm.

Remember to consider practical constraints such as the voltage and current ratings of the power devices, as well as any limitations imposed by the grid standards or regulations. Additionally, ensure that your control algorithm provides sufficient voltage and current regulation to meet the desired performance specifications of the grid-connected inverter system.

--- Updated Mar 22, 2024 ---

prompted more GPT3.5 on implementation

Implementing the Space Vector Pulse Width Modulation (SVPWM) algorithm involves several steps to generate the switching signals for the three-phase grid-connected inverter. Below is a general outline of how to implement the SVPWM algorithm:

Clarify system parameters:
Determine the modulation index (MM).
Determine the desired output voltage reference vector (Vref)
Establish the switching frequency (fswfsw).

Coordinate Transformation:
Convert the three-phase reference voltage (VrefVref) into two-phase stationary reference frame coordinates, typically referred to as αα and ββ coordinates.

Inverse Clarke Transformation:
Convert the two-phase stationary reference frame coordinates (αα and ββ) back to the three-phase reference frame (Vref_abc).

Sector Identification:
Identify the sector in which the reference voltage vector lies. There are six sectors in a 2D space vector diagram.

Voltage Vector Calculation:
Determine the active voltage vectors (V1_to_6V) and the zero vector (V0) based on the sector in which the reference vector lies. Each sector has a unique combination of active voltage vectors.

Duty Cycle Calculation:
Calculate the duty cycles (D1, D2, and D0) corresponding to the active and zero vectors. Duty cycles represent the time duration for which each switch in the inverter is turned on within a given switching period.

Space Vector Modulation:
Interpolate between the active voltage vectors and the zero vector to generate the switching signals. This interpolation ensures that the output voltage follows the reference voltage as closely as possible.

PWM Generation:
Use the duty cycles calculated in step 6 to generate the PWM signals for each phase of the inverter.

Apply PWM Signals:
Apply the generated PWM signals to the inverter switches to control the output voltage and current.

Repeat:
Repeat the above steps periodically at the desired switching frequency to continuously regulate the output voltage of the grid-connected inverter.

Implementing these steps will allow you to generate the appropriate switching signals using the SVPWM algorithm to control the output of the three-phase grid-connected inverter effectively. You may need to adapt the algorithm to the specific requirements and constraints of your system and hardware platform.

--- Updated Mar 22, 2024 ---

more...
When designing a three-phase grid-connected inverter with SVPWM control, you'll need a combination of simulation tools, development platforms, and possibly hardware-in-the-loop (HIL) setups for testing and validation. Here are some popular tools and platforms commonly used in the field:

1. Simulation Tools:
   • MATLAB/Simulink: Widely used for modeling, simulation, and control design. Simulink offers various toolboxes for power electronics and control system design, making it suitable for designing inverters and implementing SVPWM algorithms.
   • PSIM: A specialized simulation tool for power electronics and motor drive systems. It offers a user-friendly interface and extensive libraries for designing and simulating inverters with different modulation techniques.
   • PLECS: Similar to PSIM, PLECS is a simulation tool specifically designed for power electronics applications. It integrates seamlessly with MATLAB/Simulink and offers high-fidelity simulations for complex power systems.
2. Development Platforms:
   • Texas Instruments (TI) C2000 series: TI offers a range of microcontrollers (e.g., TMS320F2837x) specifically designed for digital control of power electronics systems. They provide comprehensive development kits and software tools (e.g., Code Composer Studio) for implementing SVPWM algorithms and testing them on hardware.
   • Microchip dsPIC: Similar to TI's C2000 series, Microchip's dsPIC microcontrollers are commonly used for digital control of power electronics systems. They offer development tools like MPLAB X IDE and hardware development boards for prototyping inverters and implementing control algorithms.
3. Hardware-in-the-loop (HIL) Simulation:
   • Opal-RT: Opal-RT offers HIL simulation platforms specifically tailored for power electronics and control system testing. These platforms enable real-time simulation of complex power systems, allowing you to validate control algorithms and hardware designs before deployment.
   • Typhoon HIL: Typhoon HIL provides HIL simulation solutions for power electronics, microgrids, and renewable energy systems. Their platforms offer high-fidelity real-time simulation capabilities, making them suitable for testing inverters and SVPWM algorithms in various grid-connected applications.
4. Open-Source Tools:
   • OpenModelica: An open-source modeling and simulation environment that supports modeling of power systems and control algorithms. It can be used for simulating inverters and implementing SVPWM control strategies.
   • Python with SciPy and NumPy: Python, along with libraries like SciPy and NumPy, can be used for modeling and simulating power electronics systems. While not as specialized as other tools, Python offers flexibility and extensibility for custom simulation tasks.

Choose the tools and platforms that best suit your project requirements, budget, and familiarity with the software. Additionally, consider factors such as simulation accuracy, real-time performance, and hardware compatibility when selecting your design tools.

 

[FF003]

Are you familar with the Clarke transformation? or fundamental SVPWM State tables?

What tools do you have access to or need to learn? Matlab? Simulink?

This is what GPT3.5 had to say...
To simulate a three-phase grid-connected inverter using Space Vector Pulse Width Modulation (SVPWM), you need to determine the magnitude of the carrier signal to compare with the reference voltage for generating pulse switches. Here's a general procedure to find the magnitude of the carrier signal:

1. Determine the switching frequency: The switching frequency is typically chosen based on the requirements of the system, such as the desired output frequency and the characteristics of the power devices used in the inverter. Let's denote this frequency as fsw
2. Choose a modulation index (M): The modulation index (MM) is the ratio of the amplitude of the reference voltage to the amplitude of the carrier signal. It determines the shape and magnitude of the output voltage waveform. Generally, it lies between 0 and 1.
3. Calculate the peak amplitude of the reference voltage: This depends on the specific control strategy and the application requirements. Let's denote this as Vref_peak
4. Calculate the peak amplitude of the carrier signal (A): The peak amplitude of the carrier signal is half of the peak-to-peak value of the carrier waveform. It is chosen such that the desired switching frequency is achieved. You can calculate it using the formula:View attachment 189514
5. Calculate the RMS value of the carrier signal: This value is used for power calculations and to determine losses in the inverter.View attachment 189515
6. Implement SVPWM algorithm: Once you have determined the peak amplitude of the carrier signal, you can use it along with the reference voltage to generate the switching signals according to the SVPWM algorithm.

Remember to consider practical constraints such as the voltage and current ratings of the power devices, as well as any limitations imposed by the grid standards or regulations. Additionally, ensure that your control algorithm provides sufficient voltage and current regulation to meet the desired performance specifications of the grid-connected inverter system.

--- Updated Mar 22, 2024 ---

prompted more GPT3.5 on implementation

Implementing the Space Vector Pulse Width Modulation (SVPWM) algorithm involves several steps to generate the switching signals for the three-phase grid-connected inverter. Below is a general outline of how to implement the SVPWM algorithm:

Clarify system parameters:
Determine the modulation index (MM).
Determine the desired output voltage reference vector (Vref)
Establish the switching frequency (fswfsw).

Coordinate Transformation:
Convert the three-phase reference voltage (VrefVref) into two-phase stationary reference frame coordinates, typically referred to as αα and ββ coordinates.

Inverse Clarke Transformation:
Convert the two-phase stationary reference frame coordinates (αα and ββ) back to the three-phase reference frame (Vref_abc).

Sector Identification:
Identify the sector in which the reference voltage vector lies. There are six sectors in a 2D space vector diagram.

Voltage Vector Calculation:
Determine the active voltage vectors (V1_to_6V) and the zero vector (V0) based on the sector in which the reference vector lies. Each sector has a unique combination of active voltage vectors.

Duty Cycle Calculation:
Calculate the duty cycles (D1, D2, and D0) corresponding to the active and zero vectors. Duty cycles represent the time duration for which each switch in the inverter is turned on within a given switching period.

Space Vector Modulation:
Interpolate between the active voltage vectors and the zero vector to generate the switching signals. This interpolation ensures that the output voltage follows the reference voltage as closely as possible.

PWM Generation:
Use the duty cycles calculated in step 6 to generate the PWM signals for each phase of the inverter.

Apply PWM Signals:
Apply the generated PWM signals to the inverter switches to control the output voltage and current.

Repeat:
Repeat the above steps periodically at the desired switching frequency to continuously regulate the output voltage of the grid-connected inverter.

Implementing these steps will allow you to generate the appropriate switching signals using the SVPWM algorithm to control the output of the three-phase grid-connected inverter effectively. You may need to adapt the algorithm to the specific requirements and constraints of your system and hardware platform.

--- Updated Mar 22, 2024 ---

more...
When designing a three-phase grid-connected inverter with SVPWM control, you'll need a combination of simulation tools, development platforms, and possibly hardware-in-the-loop (HIL) setups for testing and validation. Here are some popular tools and platforms commonly used in the field:

1. Simulation Tools:
   • MATLAB/Simulink: Widely used for modeling, simulation, and control design. Simulink offers various toolboxes for power electronics and control system design, making it suitable for designing inverters and implementing SVPWM algorithms.
   • PSIM: A specialized simulation tool for power electronics and motor drive systems. It offers a user-friendly interface and extensive libraries for designing and simulating inverters with different modulation techniques.
   • PLECS: Similar to PSIM, PLECS is a simulation tool specifically designed for power electronics applications. It integrates seamlessly with MATLAB/Simulink and offers high-fidelity simulations for complex power systems.
2. Development Platforms:
   • Texas Instruments (TI) C2000 series: TI offers a range of microcontrollers (e.g., TMS320F2837x) specifically designed for digital control of power electronics systems. They provide comprehensive development kits and software tools (e.g., Code Composer Studio) for implementing SVPWM algorithms and testing them on hardware.
   • Microchip dsPIC: Similar to TI's C2000 series, Microchip's dsPIC microcontrollers are commonly used for digital control of power electronics systems. They offer development tools like MPLAB X IDE and hardware development boards for prototyping inverters and implementing control algorithms.
3. Hardware-in-the-loop (HIL) Simulation:
   • Opal-RT: Opal-RT offers HIL simulation platforms specifically tailored for power electronics and control system testing. These platforms enable real-time simulation of complex power systems, allowing you to validate control algorithms and hardware designs before deployment.
   • Typhoon HIL: Typhoon HIL provides HIL simulation solutions for power electronics, microgrids, and renewable energy systems. Their platforms offer high-fidelity real-time simulation capabilities, making them suitable for testing inverters and SVPWM algorithms in various grid-connected applications.
4. Open-Source Tools:
   • OpenModelica: An open-source modeling and simulation environment that supports modeling of power systems and control algorithms. It can be used for simulating inverters and implementing SVPWM control strategies.
   • Python with SciPy and NumPy: Python, along with libraries like SciPy and NumPy, can be used for modeling and simulating power electronics systems. While not as specialized as other tools, Python offers flexibility and extensibility for custom simulation tasks.

Choose the tools and platforms that best suit your project requirements, budget, and familiarity with the software. Additionally, consider factors such as simulation accuracy, real-time performance, and hardware compatibility when selecting your design tools.

Thank you so much for your explanation. I am using PSCAD. My question is, in the steps you mentioned after "Inverse Clarke Transformation: Convert the two-phase stationary reference frame coordinates (αα and ββ) back to the three-phase reference frame (Vref_abc).", the three phase reference frame (Vref_abc) for having a unity reference voltage to compare with carrier (-1, 1), the three phase reference frame (Vref_abc) should be divided by the DC-link voltage or the reference voltage?? My system is a three phase grid connected inverter with 1000 V dc-link voltage and my reference voltage is 400 V (L-L, rms).