An Improved <i>i</i><sub><i>p</i></sub> − <i>i</i><sub><i>q</i></sub> Harmonic Detection Method Based on Time-Varying Integral Duration

<div>Instantaneous currents <svg height="17.3722pt" id="M178" style="vertical-align:-5.4741pt" version="1.1" viewbox="-0.0498162 -11.8981 9.61309 17.3722" width="9.61309pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.65243" width="3.56229" x="0" y="-11.1958"></rect><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M244 607C244 633 228 655 200 655C166 655 146 618 146 594C146 564 166 546 191 546C221 546 244 574 244 607ZM222 91L209 114C184 94 148 66 133 66C127 66 124 73 130 96L201 370C213 416 211 448 191 448C162 448 88 407 29 352L42 328C73 354 104 371 114 371C120 371 119 365 115 345L53 92C32 5 45 -12 68 -12C103 -12 186 50 222 91Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,3.562,3.132)"><path d="M573 302C573 402 527 451 414 451C386 451 343 446 313 437L330 513L320 522C295 508 261 484 243 463L230 415C194 400 159 383 126 359L131 330C159 344 187 357 222 368L109 -147C96 -204 80 -214 18 -223L13 -255L256 -244L259 -212L236 -210C184 -205 180 -195 191 -141L219 -1C240 -10 268 -12 284 -12C352 4 431 48 484 104C543 166 573 240 573 302ZM481 290C481 165 381 37 305 37C280 37 249 56 235 71L302 395C328 399 353 402 372 402C427 402 481 378 481 290Z"></path></g></svg> and <svg height="17.3722pt" id="M179" style="vertical-align:-5.4741pt" version="1.1" viewbox="-0.0498162 -11.8981 8.71796 17.3722" width="8.71796pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.65243" width="3.56229" x="0" y="-11.1958"></rect><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M244 607C244 633 228 655 200 655C166 655 146 618 146 594C146 564 166 546 191 546C221 546 244 574 244 607ZM222 91L209 114C184 94 148 66 133 66C127 66 124 73 130 96L201 370C213 416 211 448 191 448C162 448 88 407 29 352L42 328C73 354 104 371 114 371C120 371 119 365 115 345L53 92C32 5 45 -12 68 -12C103 -12 186 50 222 91Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,3.562,3.132)"><path d="M481 430L460 436C440 442 393 451 366 451C348 451 325 448 313 446C267 437 195 409 147 367C79 308 24 211 24 105C24 37 56 -12 93 -12C121 -12 156 1 199 32C246 66 313 122 349 168H351L286 -147C274 -205 261 -215 210 -224L199 -226L193 -255L438 -243L442 -214L417 -212C364 -208 359 -200 370 -140L433 204C455 324 469 389 481 430ZM391 385C382 336 366 260 358 238C321 178 209 59 143 59C129 59 115 83 115 131C115 207 152 317 220 373C243 392 282 403 314 403C348 403 374 395 391 385Z"></path></g></svg> without phase-locked loop.</div>

Mathematical Problems in Engineering

fig6

Figure 6

Figure 6: An Improved <i>i</i><sub><i>p</i></sub> − <i>i</i><sub><i>q</i></sub> Harmonic Detection Method Based on Time-Varying Integral Duration 

Mathematical Problems in Engineering

An Improved ip − iq Harmonic Detection Method Based on Time-Varying Integral Duration

Figure 6

An Improved i_p − i_q Harmonic Detection Method Based on Time-Varying Integral Duration