Can any one kindly guide me so as how to implement the block diagram as per the diagram attached ?
you may use a 3 inputs(a,b,c) single output(abc) Bus(MUX) to give input to your j operator block.
Mux
Combine several input signals into vector
Library
Signal Routing
Description
The Mux block combines its inputs into a single vector output. An input can be a scalar or vector signal. All inputs must be of the same data type and numeric type. The elements of the vector output signal take their order from the top to bottom, or left to right, input port signals. See Port Location After Rotating or Flipping for a description of the port order for various block orientations. To avoid adding clutter to a model, Simulink® hides the name of a Mux block when you copy it from the Simulink library to a model. See Mux Signals for information about creating and decomposing vectors.
Note: The Mux block allows you to connect signals of differing data and numeric types and matrix signals to its inputs. In this case, the Mux block acts like a Bus Creator block and outputs a bus signal rather than a vector. MathWorks discourages using Mux blocks to create bus signals, and might not support this practice in future releases. See Prevent Bus and Mux Mixtures for more information.
Mux
Combine several input signals into vector
Library
Signal Routing
Description
The Mux block combines its inputs into a single vector output. An input can be a scalar or vector signal. All inputs must be of the same data type and numeric type. The elements of the vector output signal take their order from the top to bottom, or left to right, input port signals. See Port Location After Rotating or Flipping for a description of the port order for various block orientations. To avoid adding clutter to a model, Simulink® hides the name of a Mux block when you copy it from the Simulink library to a model. See Mux Signals for information about creating and decomposing vectors.
Note: The Mux block allows you to connect signals of differing data and numeric types and matrix signals to its inputs. In this case, the Mux block acts like a Bus Creator block and outputs a bus signal rather than a vector. MathWorks discourages using Mux blocks to create bus signals, and might not support this practice in future releases. See Prevent Bus and Mux Mixtures for more information.
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P.S.
Hi,
Usually, j represents that the -90deg. signals are in a quadrature axis.
I would say its nomenclature is more useful for alpha-beta or dq signals, since a 2 columns/rows vector can be represented by a complex number.... but for abc signals I see no much advantage of using j in the nomenclature.
Anyway, to get the symmeterical components in abc frame, you can directly use matrix expressions that combine instantaneous with delayed signals.
The following ref could be useful, but there are many others about real time implementation.
https://www.researchgate.net/publication/3266193_Symmetrical_components_in_the_time_domain_and_their_application_to_power_network_calculations
Article Symmetrical components in the time domain and their applicat...
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