Renewable power transmission line using the square error method

A renewable energy integrated power system having a structural based pilot protection system, comprising:

• a first current transformer (CT) disposed in a first end portion of a transmission line of the renewable energy integrated power system, the first CT configured to connect a renewable energy source to the transmission line, and the renewable energy source being an integrated wind farm;
• a second CT disposed in a second end portion of the transmission line, the second end portion being opposite to the first end portion and the second CT configured to connect the transmission line to an external synchronous grid;
• and
• the structural based pilot protection system,
• wherein the structural based pilot protection system comprises a protection device and a controller configured to control the protection device, the controller and the protection device being in signal communication with the renewable energy integrated power system, and the controller configured to:
• start the protection device;
• sample current signals by the protection device from the first end portion and the second end portion, respectively;
• apply a wavelet transform to the sampled current signals of the first end portion to obtain a first two-dimensional wavelet coefficient matrix;
• apply the wavelet transform to the sampled current signals of the second end portion to obtain a second two-dimensional wavelet coefficient matrix;
• construct a first three-dimensional image based on the first two-dimensional wavelet coefficient matrix;
• construct a second three-dimensional image based on the second two-dimensional wavelet coefficient matrix;
• determine a structural value between the first three-dimensional image and the second three-dimensional image
• determine a low structural threshold using and a high structural threshold the high structural threshold being greater than the low structural threshold;
• determine whether the structural value is greater than the low structural threshold and less than the high structural threshold;
• in response to that the structural value is determined to be greater than the low structural threshold and less than the high structural threshold, determine that an internal fault has occurred to the transmission line;
• in response to that the internal fault is determined, cause the protection device to generate a trip signal to cut off the internal fault;
• in response to that the structural value is determined to be less than or equal to the low structural threshold, determine a residual sum of squares between the first two-dimensional wavelet coefficient matrix and the second two-dimensional wavelet coefficient matrix;
• determine a threshold of residual sum of squares
• determine whether the residual sum of squares is greater than the threshold of residual sum of squares;
• in response to that the structural value is determined to be less than or equal to the low structural threshold and the residual sum of squares is determined to be greater than the threshold of residual sum of squares, determine that an internal fault has occurred to the transmission line, and cause the protection device to generate a trip signal to cut off the internal fault;
• and
• in response to that the structural value is determined to be greater than the high structural threshold, or the residual sum of squares is less than or equal to the threshold of residual sum of squares, determine that an external fault has occurred to the transmission line, and restore the protection device to a normal state.