Towards Reduced-Order Models of Solid Oxide Fuel Cell

<div>The Nyquist plots for the water pressure model of reduced order (<svg height="15.428pt" id="M397" style="vertical-align:-7.079181pt" version="1.1" viewbox="-0.0498162 -8.34882 47.7221 15.428" width="47.7221pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z" id="g113-111"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.461,3.132)"><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" id="g50-113"></path></g><g transform="matrix(.0065,0,0,-0.0065,11.666,5.233)"><path d="M738 650H471V617C551 612 559 606 559 524V368H218V524C218 606 227 612 305 617V650H38V617C123 612 131 606 131 524V126C131 44 124 38 41 33V0H310V33C226 38 218 44 218 126V321H559V126C559 44 551 38 463 33V0H737V33C654 38 646 44 646 126V524C646 606 654 612 738 617V650Z" id="g58-70"></path></g><g transform="matrix(.0065,0,0,-0.0065,16.717,7.029)"><path d="M452 139L416 148C386 81 373 77 319 77H141L282 220C372 312 414 373 414 464C414 569 332 635 240 635C181 635 132 609 101 574L42 493L70 467C98 506 143 562 209 562C280 562 324 515 324 435C324 347 261 272 197 197C148 139 89 84 34 29V0H417L452 139Z" id="g176-51"></path></g><g transform="matrix(.0065,0,0,-0.0065,20.438,5.233)"><path d="M387 665C175 665 46 498 46 318C46 123 194 -15 374 -15C558 -15 712 114 712 333C712 535 557 665 387 665ZM364 625C495 625 607 518 607 306C607 115 505 25 396 25C256 25 151 161 151 346C151 532 255 625 364 625Z" id="g58-77"></path></g><g transform="matrix(.013,0,0,-0.013,30.043,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z" id="g117-34"></path></g><g transform="matrix(.013,0,0,-0.013,41.306,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z" id="g113-50"></path></g></svg>) and full order (<svg height="15.428pt" id="M398" style="vertical-align:-7.079181pt" version="1.1" viewbox="-0.0498162 -8.34882 47.7221 15.428" width="47.7221pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z" id="g113-111"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.461,3.132)"><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" id="g50-113"></path></g><g transform="matrix(.0065,0,0,-0.0065,11.666,5.233)"><path d="M738 650H471V617C551 612 559 606 559 524V368H218V524C218 606 227 612 305 617V650H38V617C123 612 131 606 131 524V126C131 44 124 38 41 33V0H310V33C226 38 218 44 218 126V321H559V126C559 44 551 38 463 33V0H737V33C654 38 646 44 646 126V524C646 606 654 612 738 617V650Z" id="g58-70"></path></g><g transform="matrix(.0065,0,0,-0.0065,16.717,7.029)"><path d="M452 139L416 148C386 81 373 77 319 77H141L282 220C372 312 414 373 414 464C414 569 332 635 240 635C181 635 132 609 101 574L42 493L70 467C98 506 143 562 209 562C280 562 324 515 324 435C324 347 261 272 197 197C148 139 89 84 34 29V0H417L452 139Z" id="g176-51"></path></g><g transform="matrix(.0065,0,0,-0.0065,20.438,5.233)"><path d="M387 665C175 665 46 498 46 318C46 123 194 -15 374 -15C558 -15 712 114 712 333C712 535 557 665 387 665ZM364 625C495 625 607 518 607 306C607 115 505 25 396 25C256 25 151 161 151 346C151 532 255 625 364 625Z" id="g58-77"></path></g><g transform="matrix(.013,0,0,-0.013,30.043,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z" id="g117-34"></path></g><g transform="matrix(.013,0,0,-0.013,41.306,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z" id="g113-51"></path></g></svg>): reduction algorithm 1 (a) and reduction algorithm 2 (b).</div>

Complexity

Towards Reduced-Order Models of Solid Oxide Fuel Cell

Figure 8