<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/f026e444-fff3-43f3-a063-e46ecc1e7b43/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws1">Circuitos Elétricos Análogos</div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls0 ws2">Não-Linearidade<span class="_2 blank"> </span>e<span class="_2 blank"> </span>Linearidade</div><div class="t m0 x4 h3 y4 ff1 fs1 fc1 sc0 ls0 ws0">A<span class="_1 blank"></span>ula 5</div><div class="t m0 x5 h4 y5 ff2 fs2 fc2 sc0 ls0 ws0">Fonte: <span class="ff1 ws3">Cristiano<span class="_3 blank"> </span>Que<span class="_1 blank"></span>v<span class="_1 blank"></span>edo<span class="_4 blank"> </span>Andrea</span></div><div class="t m0 x6 h5 y6 ff1 fs3 fc2 sc0 ls0 ws0">UTFPR - Universidade T<span class="_5 blank"></span>ecnológica Feder<span class="_1 blank"></span>al do P<span class="_1 blank"></span>araná</div><div class="t m0 x3 h5 y7 ff1 fs3 fc2 sc0 ls0 ws0">D<span class="_1 blank"></span>AEL<span class="_5 blank"></span>T - Depar<span class="_6 blank"> </span>tamento Acadêmico de Eletrotécnica</div><div class="t m0 x7 h4 y8 ff3 fs2 fc2 sc0 ls0 ws0"> <span class="ff1">Curitiba, 03/012.</span></div><div class="t m0 x8 h2 y9 ff1 fs0 fc1 sc0 ls0 ws2">Cristiano,<span class="_7 blank"> </span>Curitiba<span class="_8 blank"> </span>Sistema<span class="_7 blank"> </span>de<span class="_2 blank"> </span>Controle</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/f026e444-fff3-43f3-a063-e46ecc1e7b43/bg2.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws1">Circuitos Elétricos Análogos</div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls0 ws2">Não-Linearidade<span class="_2 blank"> </span>e<span class="_7 blank"> </span>Linearidade</div><div class="t m0 x9 h3 ya ff1 fs1 fc1 sc0 ls0">Resumo</div><div class="t m0 xa h6 yb ff1 fs3 fc3 sc0 ls1">1<span class="fs2 fc4 ls0 ws4 v1">Função de T<span class="_5 blank"></span>ransf<span class="_0 blank"></span>erência</span></div><div class="t m0 xb h4 yc ff1 fs2 fc2 sc0 ls0 ws4">Função de T<span class="_5 blank"></span>ransf<span class="_0 blank"></span>erência para Circuitos Elétricos</div><div class="t m0 xb h4 yd ff1 fs2 fc2 sc0 ls0 ws0">Função de T<span class="_5 blank"></span>r<span class="_1 blank"></span>ansf<span class="_1 blank"></span>erência em Circuitos com Amp<span class="_0 blank"></span>. Operacionais</div><div class="t m0 xb h4 ye ff1 fs2 fc2 sc0 ls0 ws0">Função de T<span class="_5 blank"></span>r<span class="_1 blank"></span>ansf<span class="_1 blank"></span>erência de Sistemas Mecânicos em T<span class="_9 blank"></span>ranslação</div><div class="t m0 xb h4 yf ff1 fs2 fc2 sc0 ls0 ws0">Função de T<span class="_9 blank"></span>ransf<span class="_1 blank"></span>erência de Sistema Mecânico em Rotação</div><div class="t m0 xb h4 y10 ff1 fs2 fc2 sc0 ls0 ws0">Função de T<span class="_9 blank"></span>ransf<span class="_1 blank"></span>erência de Sistemas com Engrenagens</div><div class="t m0 xb h4 y11 ff1 fs2 fc2 sc0 ls0 ws0">Função de T<span class="_9 blank"></span>ransf<span class="_1 blank"></span>erência de Sistema Eletromecânico</div><div class="t m0 xa h7 y12 ff1 fs3 fc3 sc0 ls1">2<span class="fs2 fc4 ls0 ws0 v1">Circuitos Elétricos Análogos</span></div><div class="t m0 xa h7 y13 ff1 fs3 fc3 sc0 ls1">2<span class="fs2 fc4 ls0 ws3 v1">Não-Linearidade<span class="_3 blank"> </span>e<span class="_4 blank"> </span>Linear idade</span></div><div class="t m0 x8 h2 y9 ff1 fs0 fc1 sc0 ls0 ws2">Cristiano,<span class="_7 blank"> </span>Curitiba<span class="_8 blank"> </span>Sistema<span class="_7 blank"> </span>de<span class="_2 blank"> </span>Controle</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/f026e444-fff3-43f3-a063-e46ecc1e7b43/bg3.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc1 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws1">Circuitos Elétricos Análogos</div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls0 ws5">Não-Linearidade<span class="_7 blank"> </span>e<span class="_2 blank"> </span>Linearidade</div><div class="t m0 xc h2 y14 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a para Circuitos Elétricos</div><div class="t m0 xc h2 y15 ff1 fs0 fc5 sc0 ls0 ws6">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência em Circuitos com Amp.<span class="_7 blank"> </span>Operacionais</div><div class="t m0 xc h2 y16 ff1 fs0 fc5 sc0 ls0 ws7">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência de Sistemas Mecânicos em T<span class="_0 blank"></span>ranslação</div><div class="t m0 xc h2 y17 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Mecânico em Rotação</div><div class="t m0 xc h2 y18 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistemas com Engrenagens</div><div class="t m0 xc h2 y19 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Eletromecânico</div><div class="t m0 x9 h3 ya ff1 fs1 fc1 sc0 ls0 ws0">Função de T<span class="_a blank"></span>ransf<span class="_0 blank"></span>erência</div><div class="t m0 xa h8 y1a ff4 fs2 fc2 sc0 ls0 ws4">É uma função que relaciona algebricamente a saída de um</div><div class="t m0 xa h8 y1b ff4 fs2 fc2 sc0 ls0 ws4">dado sistema à sua entrada.</div><div class="t m0 xa h9 y1c ff1 fs2 fc2 sc0 ls0 ws0">Considere a equação dif<span class="_1 blank"></span>erencial de ordem <span class="ff5 ls2">n</span>abaixo:</div><div class="t m0 xd ha y1d ff5 fs4 fc2 sc0 ls3">a<span class="fs0 ls4 v1">n</span><span class="ff6 ls5 v2">\u2202</span><span class="fs0 ls6 v3">n</span><span class="ls7 v2">c<span class="ff7 ls0">(<span class="ff5 ls8">t</span>)</span></span></div><div class="t m0 xe hb y1e ff6 fs4 fc2 sc0 ls5">\u2202<span class="ff5 ls9">t<span class="fs0 lsa v4">n</span><span class="ff7 lsb v5">+</span><span class="ls3 v5">a</span><span class="fs0 lsc v6">n<span class="ff8 lsd">\u2212<span class="ff1 ls0">1</span></span></span></span></div><div class="t m0 xf hc y1f ff6 fs4 fc2 sc0 ls5">\u2202<span class="ff5 fs0 lsc v7">n<span class="ff8 lsd">\u2212<span class="ff1 lse">1</span></span></span><span class="ff5 ls7">c<span class="ff7 ls0">(</span><span class="ls8">t<span class="ff7 ls0">)</span></span></span></div><div class="t m0 x10 hb y1e ff6 fs4 fc2 sc0 ls5">\u2202<span class="ff5 ls9">t<span class="fs0 lsc v4">n<span class="ff8 lsd">\u2212<span class="ff1 lsf">1</span></span></span><span class="ff7 lsb v5">+<span class="ff9 ls10 ws8">··· </span>+<span class="ff5 ls3">a<span class="ff1 fs0 ls11 v1">0</span><span class="ls7">c</span></span><span class="ls0 ws9">(<span class="ff5 ls12">t</span>)</span></span></span></div><div class="t m0 xd ha y20 ff7 fs4 fc2 sc0 ls13">=<span class="ff5 ls3">b<span class="fs0 ls14 v1">m</span><span class="ff6 ls5 v2">\u2202</span><span class="fs0 ls15 v3">m</span><span class="ls16 v2">r</span></span><span class="ls0 v2">(<span class="ff5 ls8">t</span>)</span></div><div class="t m0 x11 hd y21 ff6 fs4 fc2 sc0 ls5">\u2202<span class="ff5 ls9">t<span class="fs0 ls17 v4">m</span><span class="ff7 lsb v5">+</span><span class="ls3 v5">b</span><span class="fs0 ls18 v6">m<span class="ff8 lsd">\u2212<span class="ff1 ls0">1</span></span></span></span></div><div class="t m0 x12 he y22 ff6 fs4 fc2 sc0 ls5">\u2202<span class="ff5 fs0 ls18 v7">m<span class="ff8 lsd">\u2212<span class="ff1 lse">1</span></span></span><span class="ff5 ls16">r<span class="ff7 ls0">(</span><span class="ls8">t<span class="ff7 ls0">)</span></span></span></div><div class="t m0 x13 hd y21 ff6 fs4 fc2 sc0 ls5">\u2202<span class="ff5 ls9">t<span class="fs0 ls19 v4">m</span><span class="ff7 lsb v5">+<span class="ff9 ls10 ws8">··· </span>+<span class="ff5 ls3">b<span class="ff1 fs0 lse v1">0</span><span class="ls16">r</span></span><span class="ls0 ws9">(<span class="ff5 ls12">t</span>)</span></span></span></div><div class="t m0 x14 h9 y23 ff1 fs2 fc2 sc0 ls0 wsa">sendo <span class="ff5 ls1a">c<span class="ffa ls1b">(</span><span class="ls1c">t<span class="ffa ls1d">)</span></span></span><span class="ws4">a saída e <span class="ff5 ls1e">r<span class="ffa ls1b">(</span><span class="ls1c">t<span class="ffa ls1d">)</span></span></span><span class="ws0">a entrada. Os coef<span class="_b blank"> </span>cientes <span class="ff5 ls1f">a<span class="fs3 ls20 v8">i</span></span><span class="ls21">e<span class="ff5 ls22">b<span class="fs3 ls0 v8">i</span></span></span></span></span></div><div class="t m0 xa h4 y24 ff1 fs2 fc2 sc0 ls0 ws0">f<span class="_1 blank"></span>ormam a equação diferencial.</div><div class="t m0 xa h4 y25 ff1 fs2 fc2 sc0 ls0 ws4">Aplicando-se a transf<span class="_1 blank"></span>ormada de Laplace em ambos os lados</div><div class="t m0 xa h4 y26 ff1 fs2 fc2 sc0 ls0 ws0">da equação anterior<span class="_1 blank"></span>, temos:</div><div class="t m0 x15 hf y27 ff5 fs4 fc2 sc0 ls3">a<span class="fs0 ls23 v1">n</span><span class="ls24">s<span class="fs0 ls23 v9">n</span><span class="ls25">C<span class="ff7 ls0">(</span><span class="ls26">s<span class="ff7 ls0 wsb">) + </span></span></span></span>a<span class="fs0 lsc v1">n<span class="ff8 lsd">\u2212<span class="ff1 lse">1</span></span></span><span class="ls24">s<span class="fs0 lsc v9">n<span class="ff8 lsd">\u2212<span class="ff1 ls11">1</span></span></span><span class="ls25">C<span class="ff7 ls0">(</span><span class="ls26">s<span class="ff7 ls0 wsb">) + </span><span class="ff9 ls10 ws8">··· <span class="ff7 lsb">+</span></span></span></span></span>a<span class="ff1 fs0 ls11 v1">0</span><span class="ls25">C<span class="ff7 ls0">(</span><span class="ls26">s<span class="ff7 ls0 wsb">) + </span></span>C<span class="ff6 ls27">.</span><span class="ls28">I<span class="ff6 ls0">.</span></span></span></div><div class="t m0 x16 h10 y28 ff7 fs4 fc2 sc0 ls13">=<span class="ff5 ls3">b<span class="fs0 ls15 v1">m</span><span class="ls24">s<span class="fs0 ls29 v9">m</span><span class="ls2a">R</span></span></span><span class="ls0">(<span class="ff5 ls26">s</span><span class="wsb">) + <span class="ff5 ls3">b<span class="fs0 ls18 v1">m<span class="ff8 lsd">\u2212<span class="ff1 lse">1</span></span></span><span class="ls24">s<span class="fs0 ls18 v9">m<span class="ff8 lsd">\u2212<span class="ff1 ls11">1</span></span></span><span class="ls2a">R</span></span></span>(<span class="ff5 ls26">s</span>) + </span><span class="ff9 ls10 ws8">··· </span><span class="lsb">+<span class="ff5 ls3">b<span class="ff1 fs0 lse v1">0</span><span class="ls2a">R</span></span></span>(<span class="ff5 ls26">s</span><span class="wsb">) + <span class="ff5 ls25">C<span class="ff6 ls27">.</span><span class="ls28">I<span class="ff6 ls2b">.</span></span></span><span class="ff1">(1)</span></span></span></div><div class="t m0 x8 h2 y9 ff1 fs0 fc1 sc0 ls0 ws2">Cristiano,<span class="_7 blank"> </span>Curitiba<span class="_8 blank"> </span>Sistema<span class="_7 blank"> </span>de<span class="_2 blank"> </span>Controle</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/f026e444-fff3-43f3-a063-e46ecc1e7b43/bg4.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc1 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws1">Circuitos Elétricos Análogos</div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls0 ws5">Não-Linearidade<span class="_7 blank"> </span>e<span class="_2 blank"> </span>Linearidade</div><div class="t m0 xc h2 y14 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a para Circuitos Elétricos</div><div class="t m0 xc h2 y15 ff1 fs0 fc5 sc0 ls0 ws6">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência em Circuitos com Amp.<span class="_7 blank"> </span>Operacionais</div><div class="t m0 xc h2 y16 ff1 fs0 fc5 sc0 ls0 ws7">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência de Sistemas Mecânicos em T<span class="_0 blank"></span>ranslação</div><div class="t m0 xc h2 y17 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Mecânico em Rotação</div><div class="t m0 xc h2 y18 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistemas com Engrenagens</div><div class="t m0 xc h2 y19 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Eletromecânico</div><div class="t m0 xa h4 y29 ff1 fs2 fc2 sc0 ls0 ws4">Reorganizando a e<span class="_1 blank"></span>xpressão (1), obtém-se:</div><div class="t m0 xa hf y2a ff7 fs4 fc2 sc0 ls0">(<span class="ff5 ls2c">a<span class="fs0 ls23 v1">n</span><span class="ls24">s<span class="fs0 ls2d v9">n</span></span></span><span class="lsb">+<span class="ff5 ls3">a<span class="fs0 lsc v1">n<span class="ff8 lsd">\u2212<span class="ff1 lse">1</span></span></span><span class="ls24">s<span class="fs0 lsc v9">n<span class="ff8 lsd">\u2212<span class="ff1 ls2e">1</span></span></span></span></span>+<span class="ff9 ls10 ws8">··· </span>+<span class="ff5 ls3">a<span class="ff1 fs0 ls11 v1">0</span></span></span><span class="ws9">)<span class="ff5 ls2f">C</span>(<span class="ff5 ls26">s</span></span><span class="wsc">) = (<span class="ff5 ls30">b<span class="fs0 ls29 v1">m</span><span class="ls24">s<span class="fs0 ls31 v9">m</span></span></span><span class="lsb">+<span class="ff5 ls3">b<span class="fs0 ls18 v1">m<span class="ff8 lsd">\u2212<span class="ff1 lse">1</span></span></span><span class="ls24">s<span class="fs0 ls18 v9">m<span class="ff8 lsd">\u2212<span class="ff1 ls2e">1</span></span></span></span></span>+</span></span><span class="ff9 ls10 ws8">··· </span><span class="lsb">+<span class="ff5 ls3">b<span class="ff1 fs0 lse v1">0</span></span></span>)<span class="ff5 ls32">R</span>(<span class="ff5 ls26">s</span>)</div><div class="t m0 xa h4 y2b ff1 fs2 fc2 sc0 ls0 ws0">Assim, podemos obter a função de transf<span class="_0 blank"></span>erência</div><div class="t m0 xa h4 y2c ff1 fs2 fc2 sc0 ls0 ws0">manipulando-se a equação anterior<span class="_6 blank"> </span>:</div><div class="t m0 x17 h11 y2d ff5 fs4 fc2 sc0 ls25">C<span class="ff7 ls0">(</span><span class="ls26">s<span class="ff7 ls0">)</span></span></div><div class="t m0 x17 h12 y2e ff5 fs4 fc2 sc0 ls2a">R<span class="ff7 ls0">(</span><span class="ls26">s<span class="ff7 ls33">)<span class="ls34 v5">=</span><span class="ls0 va">(</span></span><span class="ls2c va">b</span><span class="fs0 ls15 vb">m</span><span class="ls24 va">s</span><span class="fs0 ls31 vc">m</span><span class="ff7 lsb va">+</span><span class="ls3 va">b</span><span class="fs0 ls18 vb">m<span class="ff8 lsd">\u2212<span class="ff1 ls11">1</span></span></span><span class="ls24 va">s</span><span class="fs0 ls18 vc">m<span class="ff8 lsd">\u2212<span class="ff1 ls2e">1</span></span></span><span class="ff7 lsb va">+<span class="ff9 ls10 ws8">··· </span>+<span class="ff5 ls3">b<span class="ff1 fs0 lse v1">0</span></span><span class="ls0">)</span></span></span></div><div class="t m0 x11 h13 y2e ff7 fs4 fc2 sc0 ls0">(<span class="ff5 ls2c">a<span class="fs0 ls6 v1">n</span><span class="ls24">s<span class="fs0 ls2d v4">n</span></span></span><span class="lsb">+<span class="ff5 ls3">a<span class="fs0 lsc v1">n<span class="ff8 lsd">\u2212<span class="ff1 ls11">1</span></span></span><span class="ls24">s<span class="fs0 lsc v4">n<span class="ff8 lsd">\u2212<span class="ff1 ls2e">1</span></span></span></span></span>+<span class="ff9 ls10 ws8">··· </span>+<span class="ff5 ls3">a<span class="ff1 fs0 lse v1">0</span></span><span class="ls35">)</span></span><span class="ff1 v5">(2)</span></div><div class="t m0 x14 h9 y2f ff1 fs2 fc2 sc0 ls0 wsa">sendo <span class="ff5 ls2">n<span class="ffb ls36">\u2265</span><span class="ls37">m</span></span><span class="ws4">. Neste caso<span class="_1 blank"></span>, f<span class="_0 blank"></span>oram considerado as condições</span></div><div class="t m0 xa h4 y30 ff1 fs2 fc2 sc0 ls0 ws0">iniciais nulas para simplif<span class="_b blank"> </span>cação da e<span class="_0 blank"></span>xpressão.</div><div class="t m0 xa h9 y31 ff1 fs2 fc2 sc0 ls0 ws0">P<span class="_0 blank"></span>odemos ainda chamar <span class="ff5 ls38">C<span class="ffa ls1b">(</span><span class="ls39">s<span class="ffa ls1b">)</span></span></span><span class="ffc">/<span class="ff5 ls3a">R<span class="ffa ls1b">(</span><span class="ls39">s</span></span><span class="ffa wsd">) = <span class="ff5 ls3b">G</span><span class="ls1b">(<span class="ff5 ls39">s</span>)</span></span></span><span class="wse">, então<span class="_1 blank"></span>,</span></div><div class="t m0 x18 h9 y32 ff5 fs2 fc2 sc0 ls38">C<span class="ffa ls1b">(</span><span class="ls39">s<span class="ffa ls0 wsf">) = </span><span class="ls3c">R<span class="ffa ls1b">(</span></span>s<span class="ffa ls1b">)</span><span class="ls3b">G<span class="ffa ls1b">(</span></span>s<span class="ffa ls0">)</span></span></div><div class="t m0 x19 h9 y33 ff5 fs2 fc2 sc0 ls3c">R<span class="ffa ls1b">(</span><span class="ls39">s<span class="ffa ls3d">)<span class="ff7 fs4 ls0 v1">(<span class="ff5 ls2c">b<span class="fs0 ls29 v1">m</span><span class="ls24">s<span class="fs0 ls31 v7">m</span><span class="ff7 lsb">+</span><span class="ls3">b<span class="fs0 ls18 v1">m<span class="ff8 lsd">\u2212<span class="ff1 lse">1</span></span></span></span>s<span class="fs0 ls18 v7">m<span class="ff8 lsd">\u2212<span class="ff1 ls2e">1</span></span></span><span class="ff7 lsb">+<span class="ff9 ls0 ws10">· · ·<span class="_c blank"> </span></span>+</span><span class="ls3">b<span class="ff1 fs0 ls11 v1">0</span></span></span></span>)</span></span></span></div><div class="t m0 x8 h14 y34 ff7 fs4 fc2 sc0 ls0 ws9">(<span class="ff5 ls3e v0">a<span class="fs0 ls23 v1">n</span><span class="ls24">s<span class="fs0 ls2d v7">n</span><span class="ff7 lsb">+</span><span class="ls3">a<span class="fs0 lsc v1">n<span class="ff8 lsd">\u2212<span class="ff1 lse">1</span></span></span></span>s<span class="fs0 lsc v7">n<span class="ff8 lsd">\u2212<span class="ff1 ls2e">1</span></span></span><span class="ff7 lsb">+<span class="ff9 ls10 ws8">··· </span>+</span><span class="ls3">a<span class="ff1 fs0 ls11 v1">0</span></span></span></span><span class="v0">)</span></div><div class="t m0 x1a h9 y35 ff5 fs2 fc2 sc0 ls38">C<span class="ffa ls1b">(</span><span class="ls39">s<span class="ffa ls0">)</span></span></div><div class="t m0 x1b h9 y36 ff5 fs2 fc2 sc0 ls3b">G<span class="ffa ls1b">(</span><span class="ls39">s<span class="ffa ls0">)</span></span></div><div class="t m0 x8 h2 y9 ff1 fs0 fc1 sc0 ls0 ws2">Cristiano,<span class="_7 blank"> </span>Curitiba<span class="_8 blank"> </span>Sistema<span class="_7 blank"> </span>de<span class="_2 blank"> </span>Controle</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/f026e444-fff3-43f3-a063-e46ecc1e7b43/bg5.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc1 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws1">Circuitos Elétricos Análogos</div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls0 ws5">Não-Linearidade<span class="_7 blank"> </span>e<span class="_2 blank"> </span>Linearidade</div><div class="t m0 xc h2 y14 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a para Circuitos Elétricos</div><div class="t m0 xc h2 y15 ff1 fs0 fc5 sc0 ls0 ws6">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência em Circuitos com Amp.<span class="_7 blank"> </span>Operacionais</div><div class="t m0 xc h2 y16 ff1 fs0 fc5 sc0 ls0 ws7">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência de Sistemas Mecânicos em T<span class="_0 blank"></span>ranslação</div><div class="t m0 xc h2 y17 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Mecânico em Rotação</div><div class="t m0 xc h2 y18 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistemas com Engrenagens</div><div class="t m0 xc h2 y19 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Eletromecânico</div><div class="t m0 xa h4 y37 ff1 fs2 fc1 sc0 ls0 ws11">Ex<span class="_1 blank"></span>emplo</div><div class="t m0 xa h4 y38 ff1 fs2 fc2 sc0 ls0 ws0">Obter a função de transf<span class="_1 blank"></span>erência da equação dif<span class="_0 blank"></span>erencial</div><div class="t m0 xa h4 y39 ff1 fs2 fc2 sc0 ls0 ws12">representada<span class="_4 blank"> </span>por :</div><div class="t m0 x1c h15 y3a ff7 fs4 fc2 sc0 ls0">\u02d9</div><div class="t m0 x1d h11 y3b ff5 fs4 fc2 sc0 ls3f">c<span class="ff7 ls0">(</span><span class="ls8">t<span class="ff7 ls0 ws13">) + <span class="ff1">2</span></span><span class="ls40">c<span class="ff7 ls0">(</span></span>t<span class="ff7 ls0 ws14">) = </span><span class="ls16">r<span class="ff7 ls0">(</span></span>t<span class="ff7 ls0">)<span class="ff6 ls41">.</span><span class="ff1">(3)</span></span></span></div><div class="t m0 x14 h4 y3c ff1 fs2 fc2 sc0 ls0 ws0">Aplicando-se a transf<span class="_1 blank"></span>ormada de Laplace em (3), temos:</div><div class="t m0 x1e h11 y3d ff5 fs4 fc2 sc0 ls0 ws15">sC <span class="ff7">(</span><span class="ls26">s</span><span class="ff7 wsb">) + <span class="ff1">2</span></span><span class="ls42">C</span><span class="ff7">(</span><span class="ls26">s</span><span class="ff7 ws16">) = </span><span class="ls2a">R</span><span class="ff7">(</span><span class="ls26">s</span><span class="ff7">)<span class="ff6">,</span></span></div><div class="t m0 x1e h16 y3e ff5 fs4 fc2 sc0 ls43">G<span class="ff7 ls0">(</span><span class="ls26">s<span class="ff7 ls0 ws17">) =<span class="_d blank"> </span></span><span class="ls25 v2">C<span class="ff7 ls0">(</span></span><span class="v2">s<span class="ff7 ls0">)</span></span></span></div><div class="t m0 x10 h17 y3f ff5 fs4 fc2 sc0 ls2a">R<span class="ff7 ls0">(</span><span class="ls26">s<span class="ff7 ls33">)<span class="ls44 v5">=</span><span class="ff1 ls0 va">1</span></span></span></div><div class="t m0 x1f h18 y3f ff5 fs4 fc2 sc0 ls45">s<span class="ff7 lsb">+<span class="ff1 ls46">2<span class="ff6 ls0 v5">,</span></span></span></div><div class="t m0 x14 h4 y40 ff1 fs2 fc2 sc0 ls0 ws4">neste caso f<span class="_1 blank"></span>oi suposto condições iniciais nulas<span class="_1 blank"></span>.</div><div class="t m0 xa h9 y41 ff1 fs2 fc2 sc0 ls0 ws0">P<span class="_1 blank"></span>ar<span class="_1 blank"></span>a obter a resposta degr<span class="_1 blank"></span>au da função de transf<span class="_0 blank"></span>erência <span class="ff5 ls3b">G<span class="ffa ls1b">(</span><span class="ls39">s<span class="ffa ls1b">)</span></span></span>,</div><div class="t m0 xa h4 y42 ff1 fs2 fc2 sc0 ls0 ws11">f<span class="_1 blank"></span>azemos<span class="_1 blank"></span>,</div><div class="t m0 x2 h19 y43 ff5 fs4 fc2 sc0 ls25">C<span class="ff7 ls0">(</span><span class="ls26">s<span class="ff7 ls0 ws18">) =<span class="_d blank"> </span><span class="ff1 v2">1</span></span></span></div><div class="t m0 x11 h11 y44 ff5 fs4 fc2 sc0 ls0">s</div><div class="t m0 x20 h1a y45 ff1 fs4 fc2 sc0 ls0">1</div><div class="t m0 x21 hd y44 ff5 fs4 fc2 sc0 ls45">s<span class="ff7 lsb">+<span class="ff1 ls46">2<span class="ff6 ls47 v5">,</span><span class="ls0 ws19 v5">sendo </span></span></span><span class="ls2a v5">R<span class="ff7 ls0">(<span class="ff5 ls26">s</span><span class="ws1a">) = <span class="ff1">1<span class="ff6 ls48">/<span class="ff5 ls24">s</span><span class="ls49">.</span></span>(4)</span></span></span></span></div><div class="t m0 x8 h2 y9 ff1 fs0 fc1 sc0 ls0 ws2">Cristiano,<span class="_7 blank"> </span>Curitiba<span class="_8 blank"> </span>Sistema<span class="_7 blank"> </span>de<span class="_2 blank"> </span>Controle</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf6" class="pf w0 h0" data-page-no="6"><div class="pc pc6 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/f026e444-fff3-43f3-a063-e46ecc1e7b43/bg6.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc1 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws1">Circuitos Elétricos Análogos</div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls0 ws5">Não-Linearidade<span class="_7 blank"> </span>e<span class="_2 blank"> </span>Linearidade</div><div class="t m0 xc h2 y14 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a para Circuitos Elétricos</div><div class="t m0 xc h2 y15 ff1 fs0 fc5 sc0 ls0 ws6">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência em Circuitos com Amp.<span class="_7 blank"> </span>Operacionais</div><div class="t m0 xc h2 y16 ff1 fs0 fc5 sc0 ls0 ws7">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência de Sistemas Mecânicos em T<span class="_0 blank"></span>ranslação</div><div class="t m0 xc h2 y17 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Mecânico em Rotação</div><div class="t m0 xc h2 y18 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistemas com Engrenagens</div><div class="t m0 xc h2 y19 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Eletromecânico</div><div class="t m0 xa h4 y29 ff1 fs2 fc2 sc0 ls0 ws0">Expandindo em frações parciais a equação (4), obtém-se:</div><div class="t m0 x22 h1b y46 ff5 fs4 fc2 sc0 ls25">C<span class="ff7 ls0">(</span><span class="ls26">s<span class="ff7 ls0 ws17">) =<span class="_d blank"> </span><span class="ff1 v2">1<span class="ff6 ls48">/</span>2</span></span></span></div><div class="t m0 x23 h1c y47 ff5 fs4 fc2 sc0 ls4a">s<span class="ff9 ls4b v5">\u2212</span><span class="ff1 ls0 va">1<span class="ff6 ls48">/</span>2</span></div><div class="t m0 xc h18 y47 ff5 fs4 fc2 sc0 ls45">s<span class="ff7 lsb">+<span class="ff1 ls46">2<span class="ff6 ls4c v5">.</span><span class="ls0 v5">(5)</span></span></span></div><div class="t m0 xa h4 y48 ff1 fs2 fc2 sc0 ls0 ws0">Aplicando a transf<span class="_1 blank"></span>ormada de Laplace inv<span class="_1 blank"></span>ersa em (5),</div><div class="t m0 x1c h19 y49 ff5 fs4 fc2 sc0 ls7">c<span class="ff7 ls0">(</span><span class="ls8">t<span class="ff7 ls0 ws17">) =<span class="_d blank"> </span><span class="ff1 v2">1</span></span></span></div><div class="t m0 x24 h17 y4a ff1 fs4 fc2 sc0 ls4d">2<span class="ff9 ls4e v5">\u2212</span><span class="ls0 va">1</span></div><div class="t m0 x25 h1d y4a ff1 fs4 fc2 sc0 ls46">2<span class="ff5 ls4f v5">e</span><span class="ff8 fs0 lsd vd">\u2212<span class="ff1 ls0">2<span class="ff5 ls50">t</span><span class="ff6 fs4 ve">.</span></span></span></div><div class="c x26 y4b w2 h1e"><div class="t m0 x27 h1f y4c ff1 fs5 fc6 sc0 ls0 ws1b">0 0.5 1 1.5 2 2.5 3</div><div class="t m0 x28 h1f y4d ff1 fs5 fc6 sc0 ls0">0</div><div class="t m0 x29 h1f y4e ff1 fs5 fc6 sc0 ls0">0.05</div><div class="t m0 x2a h1f y4f ff1 fs5 fc6 sc0 ls0">0.1</div><div class="t m0 x29 h1f y50 ff1 fs5 fc6 sc0 ls0">0.15</div><div class="t m0 x2a h1f y51 ff1 fs5 fc6 sc0 ls0">0.2</div><div class="t m0 x29 h1f y52 ff1 fs5 fc6 sc0 ls0">0.25</div><div class="t m0 x2a h1f y53 ff1 fs5 fc6 sc0 ls0">0.3</div><div class="t m0 x29 h1f y54 ff1 fs5 fc6 sc0 ls0">0.35</div><div class="t m0 x2a h1f y55 ff1 fs5 fc6 sc0 ls0">0.4</div><div class="t m0 x29 h1f y56 ff1 fs5 fc6 sc0 ls0">0.45</div><div class="t m0 x2a h1f y57 ff1 fs5 fc6 sc0 ls0">0.5</div><div class="t m0 x2b h1f y58 ff1 fs5 fc2 sc0 ls0 ws0">Step Response</div><div class="t m0 x2c h1f y59 ff1 fs5 fc2 sc0 ls0 ws0">Time (sec)</div><div class="t m1 x2d h1f y5a ff1 fs5 fc2 sc0 ls0">Amplitude</div></div><div class="t m0 x8 h2 y9 ff1 fs0 fc1 sc0 ls0 ws2">Cristiano,<span class="_7 blank"> </span>Curitiba<span class="_8 blank"> </span>Sistema<span class="_7 blank"> </span>de<span class="_2 blank"> </span>Controle</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf7" class="pf w0 h0" data-page-no="7"><div class="pc pc7 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/f026e444-fff3-43f3-a063-e46ecc1e7b43/bg7.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc1 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws1">Circuitos Elétricos Análogos</div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls0 ws5">Não-Linearidade<span class="_7 blank"> </span>e<span class="_2 blank"> </span>Linearidade</div><div class="t m0 xc h2 y14 ff1 fs0 fc1 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a para Circuitos Elétricos</div><div class="t m0 xc h2 y15 ff1 fs0 fc5 sc0 ls0 ws6">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência em Circuitos com Amp.<span class="_7 blank"> </span>Operacionais</div><div class="t m0 xc h2 y16 ff1 fs0 fc5 sc0 ls0 ws7">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência de Sistemas Mecânicos em T<span class="_0 blank"></span>ranslação</div><div class="t m0 xc h2 y17 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Mecânico em Rotação</div><div class="t m0 xc h2 y18 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistemas com Engrenagens</div><div class="t m0 xc h2 y19 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Eletromecânico</div><div class="t m0 x9 h3 ya ff1 fs1 fc1 sc0 ls0">Resumo</div><div class="t m0 xa h6 yb ff1 fs3 fc3 sc0 ls1">1<span class="fs2 fc4 ls0 ws4 v1">Função de T<span class="_9 blank"></span>ransf<span class="_1 blank"></span>erência</span></div><div class="t m0 xb h4 yc ff1 fs2 fc2 sc0 ls0 ws4">Função de T<span class="_9 blank"></span>ransf<span class="_1 blank"></span>erência para Circuitos Elétricos</div><div class="t m0 xb h4 yd ff1 fs2 fc7 sc0 ls0 ws0">Função de T<span class="_9 blank"></span>ransf<span class="_1 blank"></span>erência em Circuitos com Amp<span class="_0 blank"></span>. Operacionais</div><div class="t m0 xb h4 ye ff1 fs2 fc7 sc0 ls0 ws0">Função de T<span class="_9 blank"></span>ransf<span class="_1 blank"></span>erência de Sistemas Mecânicos em T<span class="_9 blank"></span>ranslação</div><div class="t m0 xb h4 yf ff1 fs2 fc7 sc0 ls0 ws0">Função de T<span class="_9 blank"></span>ransf<span class="_1 blank"></span>erência de Sistema Mecânico em Rotação</div><div class="t m0 xb h4 y10 ff1 fs2 fc7 sc0 ls0 ws0">Função de T<span class="_9 blank"></span>ransf<span class="_1 blank"></span>erência de Sistemas com Engrenagens</div><div class="t m0 xb h4 y11 ff1 fs2 fc7 sc0 ls0 ws0">Função de T<span class="_9 blank"></span>ransf<span class="_1 blank"></span>erência de Sistema Eletromecânico</div><div class="t m0 xa h7 y12 ff1 fs3 fc8 sc0 ls1">2<span class="fs2 fc9 ls0 ws0 v1">Circuitos Elétricos Análogos</span></div><div class="t m0 xa h7 y13 ff1 fs3 fc8 sc0 ls1">2<span class="fs2 fc9 ls0 ws3 v1">Não-Linearidade<span class="_3 blank"> </span>e<span class="_4 blank"> </span>Linear idade</span></div><div class="t m0 x8 h2 y9 ff1 fs0 fc1 sc0 ls0 ws2">Cristiano,<span class="_7 blank"> </span>Curitiba<span class="_8 blank"> </span>Sistema<span class="_7 blank"> </span>de<span class="_2 blank"> </span>Controle</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf8" class="pf w0 h0" data-page-no="8"><div class="pc pc8 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/f026e444-fff3-43f3-a063-e46ecc1e7b43/bg8.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc1 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws1">Circuitos Elétricos Análogos</div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls0 ws5">Não-Linearidade<span class="_7 blank"> </span>e<span class="_2 blank"> </span>Linearidade</div><div class="t m0 xc h2 y14 ff1 fs0 fc1 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a para Circuitos Elétricos</div><div class="t m0 xc h2 y15 ff1 fs0 fc5 sc0 ls0 ws6">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência em Circuitos com Amp.<span class="_7 blank"> </span>Operacionais</div><div class="t m0 xc h2 y16 ff1 fs0 fc5 sc0 ls0 ws7">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência de Sistemas Mecânicos em T<span class="_0 blank"></span>ranslação</div><div class="t m0 xc h2 y17 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Mecânico em Rotação</div><div class="t m0 xc h2 y18 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistemas com Engrenagens</div><div class="t m0 xc h2 y19 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Eletromecânico</div><div class="t m0 x2e h4 y5b ff1 fs2 fc2 sc0 ls0 ws4">Os circuitos elétricos trabalham basicamente com 3</div><div class="t m0 x2e h4 y5c ff1 fs2 fc2 sc0 ls0 ws4">componentes: resistor<span class="_0 blank"></span>, capacitor e indutor<span class="_1 blank"></span>.</div><div class="t m0 x2f h20 y5d ff1 fs3 fc2 sc0 ls0 ws1c">Componente <span class="ws1d vf">T<span class="_5 blank"></span>ensão <span class="ws1e vf">Corrente <span class="ws1f vf">T<span class="_0 blank"></span>ensão Carga<span class="_e blank"> </span><span class="ff5 ls51 vf">Z<span class="ffd ls0">(<span class="ff5 ls52">s</span><span class="ws20">) = <span class="ff5 ls53">V</span>(<span class="ff5 ls52">s</span>)<span class="ffe">/<span class="ff5 ls54">R</span></span>(<span class="ff5 ls52">s</span>)</span></span></span></span></span></span></div><div class="t m0 x2b h21 y5e ff5 fs3 fc2 sc0 ls55">v<span class="ffd ls0">(</span><span class="ls56">t<span class="ffd ls0 ws20">) = <span class="fff ls57 v10">R</span><span class="ff10 fs0 v7">\u03c4</span></span></span></div><div class="t m0 xd h22 y5f ff1 fs0 fc2 sc0 ls58">0<span class="ff5 fs3 ls59 v11">i<span class="ffd ls0">(<span class="ffe ls5a">\u03c4</span>)<span class="ffe ws21">\u2202 \u03c4<span class="_f blank"> </span></span></span><span class="v1">i<span class="ffd ls0">(<span class="ff5 ls56">t</span><span class="ws22">) =<span class="_d blank"> </span></span></span></span></span><span class="ff5 ls5b v2">C<span class="ff10 ls5c">\u2202<span class="ff5 ls5d">v<span class="ffd ls0">(</span><span class="ls5e">t<span class="ffd ls0">)</span></span></span></span></span></div><div class="t m0 x10 h23 y60 ff10 fs0 fc2 sc0 ls5c">\u2202<span class="ff5 ls5f">t<span class="fs3 ls55 v12">v<span class="ffd ls0">(<span class="ff5 ls56">t</span><span class="ws20">) =<span class="_10 blank"> </span><span class="ff1 fs0 v13">1</span></span></span></span></span></div><div class="t m0 x30 h24 y61 ff5 fs0 fc2 sc0 ls60">C<span class="fs3 ls61 v11">q<span class="ffd ls0">(<span class="ff5 ls56">t</span><span class="ls62">)</span><span class="ff1 fs0 v14">1</span></span></span></div><div class="t m0 x31 h25 y62 ff5 fs0 fc2 sc0 ls0 ws23">Cs</div><div class="t m0 x15 h26 y63 ff5 fs3 fc2 sc0 ls55">v<span class="ffd ls0">(</span><span class="ls56">t<span class="ffd ls0 ws20">) = </span><span class="ls0 ws24">Ri <span class="ffd">(</span></span>t<span class="ffd ls63">)</span><span class="ls59 v0">i<span class="ffd ls64">(</span><span class="ls65">t<span class="ffd ls0 ws22">) =<span class="_10 blank"> </span><span class="ff1 fs0 v13">1</span></span></span></span></span></div><div class="t m0 x32 h27 y64 ff5 fs0 fc2 sc0 ls66">R<span class="fs3 ls55 v11">v<span class="ffd ls0">(<span class="ff5 ls56">t</span><span class="ls67">)</span></span><span class="v0">v<span class="ffd ls0">(</span><span class="ls56">t<span class="ffd ls0 ws20">) = </span><span class="ls68">R</span></span></span></span><span class="ff10 ls5c v12">\u2202</span><span class="ls69 v12">q<span class="ffd ls6a">(<span class="ff5 ls6b">t</span><span class="ls0">)</span></span></span></div><div class="t m0 x33 h28 y65 ff10 fs0 fc2 sc0 ls5c">\u2202<span class="ff5 ls6c">t<span class="fs3 ls0 v6">R</span></span></div><div class="t m0 x34 h29 y66 ff5 fs3 fc2 sc0 ls55">v<span class="ffd ls0">(</span><span class="ls56">t<span class="ffd ls6d">)<span class="ls6e v0">=<span class="ff5 ls6f">L<span class="ff10 fs0 ls5c v7">\u2202<span class="ff5 ls70">i<span class="ffd ls6a">(</span><span class="ls6b">t<span class="ffd ls0">)</span></span></span></span></span></span></span></span></div><div class="t m0 x35 h2a y67 ff10 fs0 fc2 sc0 ls5c">\u2202<span class="ff5 ls71">t<span class="fs3 ls59 v14">i<span class="ffd ls0">(<span class="ff5 ls56">t</span><span class="ls72">)<span class="ls73 v0">=</span></span><span class="ff1 fs0 v13">1</span></span></span></span></div><div class="t m0 x24 h2b y68 ff5 fs0 fc2 sc0 ls74">L<span class="fff fs3 ls57 v3">R</span><span class="ls0 v12">t</span></div><div class="t m0 x32 h2c y69 ff1 fs0 fc2 sc0 ls75">0<span class="ff5 fs3 ls55 v11">v<span class="ffd ls0">(<span class="ffe ls5a">\u03c4</span>)<span class="ffe ws21">\u2202 \u03c4<span class="_11 blank"> </span></span></span><span class="v15">v<span class="ffd ls0">(<span class="ff5 ls56">t</span><span class="ws25">) = <span class="ff5 ls6f">L</span></span></span></span></span><span class="ff10 ls5c v16">\u2202</span><span class="fs6 ls76 vd">2</span><span class="ff5 ls69 v16">q<span class="ffd ls0">(<span class="ff5 ls5e">t</span>)</span></span></div><div class="t m0 x36 h2d y6a ff10 fs0 fc2 sc0 ls5c">\u2202<span class="ff5 ls77">t<span class="ff1 fs6 ls78 v17">2</span><span class="fs3 ls0 v18">Ls</span></span></div><div class="t m0 x8 h2 y9 ff1 fs0 fc1 sc0 ls0 ws2">Cristiano,<span class="_7 blank"> </span>Curitiba<span class="_8 blank"> </span>Sistema<span class="_7 blank"> </span>de<span class="_2 blank"> </span>Controle</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf9" class="pf w0 h0" data-page-no="9"><div class="pc pc9 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/f026e444-fff3-43f3-a063-e46ecc1e7b43/bg9.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc1 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws1">Circuitos Elétricos Análogos</div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls0 ws5">Não-Linearidade<span class="_7 blank"> </span>e<span class="_2 blank"> </span>Linearidade</div><div class="t m0 xc h2 y14 ff1 fs0 fc1 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a para Circuitos Elétricos</div><div class="t m0 xc h2 y15 ff1 fs0 fc5 sc0 ls0 ws6">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência em Circuitos com Amp.<span class="_7 blank"> </span>Operacionais</div><div class="t m0 xc h2 y16 ff1 fs0 fc5 sc0 ls0 ws7">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência de Sistemas Mecânicos em T<span class="_0 blank"></span>ranslação</div><div class="t m0 xc h2 y17 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Mecânico em Rotação</div><div class="t m0 xc h2 y18 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistemas com Engrenagens</div><div class="t m0 xc h2 y19 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Eletromecânico</div><div class="t m0 xa h2e y6b ff11 fs2 fc2 sc0 ls0 ws0">Exemplo 1<span class="ff1 ws4">: Considere o circuito elétrico simples ilustrado a</span></div><div class="t m0 xa h4 y6c ff1 fs2 fc2 sc0 ls0 ws26">seguir :</div><div class="t m0 x37 h2f y6d ff12 fs7 fca sc0 ls0">+</div><div class="t m0 x37 h2f y6e ff12 fs7 fca sc0 ls0">-</div><div class="t m0 x31 h2f y6f ff12 fs7 fca sc0 ls0">+</div><div class="t m0 x38 h2f y70 ff12 fs7 fca sc0 ls0">-</div><div class="t m0 x14 h9 y71 ff5 fs2 fc2 sc0 ls79">v<span class="ffa ls1b">(</span><span class="ls1c">t<span class="ffa ls0">)</span></span></div><div class="t m0 x1d h30 y72 ff5 fs2 fc2 sc0 ls7a">L<span class="ls0 v4">R</span></div><div class="t m0 x39 h9 y73 ff5 fs2 fc2 sc0 ls0 ws11">v<span class="fs3 ls7b v8">C</span><span class="ffa ls1b">(</span><span class="ls1c">t</span><span class="ffa">)</span></div><div class="t m0 x3a h9 y74 ff5 fs2 fc2 sc0 ls7c">i<span class="ffa ls1b">(</span><span class="ls1c">t<span class="ffa ls0">)</span></span></div><div class="t m0 x3b h9 y75 ff5 fs2 fc2 sc0 ls0">C</div><div class="t m0 xa h31 y76 ff1 fs2 fc2 sc0 ls0 ws11">A<span class="ws0 v0">plicando-se a lei de somatório de tensão de malha do circuito</span></div><div class="t m0 xa h4 y77 ff1 fs2 fc2 sc0 ls0 ws4">ilustrado acima, temos:</div><div class="t m0 x3c h32 y78 ff5 fs2 fc2 sc0 ls79">v<span class="ffa ls1b">(</span><span class="ls1c">t<span class="ffa ls0 ws27">) = </span><span class="ls7d">L<span class="ffc ls7e v19">\u2202</span><span class="ls7c v19">i<span class="ffa ls1b">(</span></span></span><span class="v19">t<span class="ffa ls0">)</span></span></span></div><div class="t m0 x20 h33 y79 ffc fs2 fc2 sc0 ls7e">\u2202<span class="ff5 ls7f">t<span class="ffa ls80 v19">+</span><span class="ls0 ws28 v19">Ri <span class="ffa ls1b">(<span class="ff5 ls1c">t</span><span class="ls0 ws29">) + <span class="ff5 ws11">v<span class="fs3 ls7b v8">C</span></span></span>(<span class="ff5 ls1c">t</span>)<span class="ffc ls81">.<span class="ff1 ls0">(6)</span></span></span></span></span></div><div class="t m0 x8 h2 y9 ff1 fs0 fc1 sc0 ls0 ws2">Cristiano,<span class="_7 blank"> </span>Curitiba<span class="_8 blank"> </span>Sistema<span class="_7 blank"> </span>de<span class="_2 blank"> </span>Controle</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pfa" class="pf w0 h0" data-page-no="a"><div class="pc pca w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/f026e444-fff3-43f3-a063-e46ecc1e7b43/bga.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc1 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws1">Circuitos Elétricos Análogos</div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls0 ws5">Não-Linearidade<span class="_7 blank"> </span>e<span class="_2 blank"> </span>Linearidade</div><div class="t m0 xc h2 y14 ff1 fs0 fc1 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a para Circuitos Elétricos</div><div class="t m0 xc h2 y15 ff1 fs0 fc5 sc0 ls0 ws6">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência em Circuitos com Amp.<span class="_7 blank"> </span>Operacionais</div><div class="t m0 xc h2 y16 ff1 fs0 fc5 sc0 ls0 ws7">Função de T<span class="_0 blank"></span>ransf<span class="_1 blank"></span>erência de Sistemas Mecânicos em T<span class="_0 blank"></span>ranslação</div><div class="t m0 xc h2 y17 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Mecânico em Rotação</div><div class="t m0 xc h2 y18 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistemas com Engrenagens</div><div class="t m0 xc h2 y19 ff1 fs0 fc5 sc0 ls0 ws0">Função de T<span class="_0 blank"></span>ransferênci<span class="_1 blank"></span>a de Sistema Eletromecânico</div><div class="t m0 xa h4 y7a ff1 fs2 fc2 sc0 ls0 ws4">Aplicando-se a transf<span class="_1 blank"></span>ormada de Laplace em (6),</div><div class="t m0 xa h4 y7b ff1 fs2 fc2 sc0 ls0 ws0">considerando-se as condições iniciais nulas<span class="_1 blank"></span>, tem-se:</div><div class="t m0 x17 h9 y7c ff5 fs2 fc2 sc0 ls82">V<span class="ffa ls1b">(</span><span class="ls39">s<span class="ffa ls0 wsd">) = </span><span class="ls0 ws2a">LsI <span class="ffa ls1b">(</span></span>s<span class="ffa ls0 ws29">) + </span><span class="ls0 ws2b">RI <span class="ffa ls1b">(</span></span>s<span class="ffa ls0 ws29">) + </span><span class="ls0 ws11">V<span class="fs3 ls7b v8">C</span><span class="ffa ls1b">(</span></span>s<span class="ffa ls1b">)<span class="ffc ls83">,<span class="ff1 ls0">(7)</span></span></span></span></div><div class="t m0 xa h9 y7d ff1 fs2 fc2 sc0 ls0 ws2c">mas <span class="ff5 ls84">I<span class="ffa ls1b">(</span><span class="ls39">s</span></span><span class="ffa ws27">) = <span class="ff5 ws11">V<span class="fs3 ls7b v8">C</span></span><span class="ls1b">(<span class="ff5 ls39">s</span>)<span class="ffc ls85">/</span></span></span><span class="fs3 v9">1</span></div><div class="t m0 x7 h34 y7e ff5 fs3 fc2 sc0 ls0 ws2d">Cs <span class="ff1 fs2 ws0 v7">, assim temos,</span></div><div class="t m0 x15 h32 y7f ff5 fs2 fc2 sc0 ls82">V<span class="ffa ls1b">(</span><span class="ls39">s<span class="ffa ls0 wsf">) = </span><span class="ls0 ws2e">Ls <span class="ws11 v19">V</span><span class="fs3 ls7b v18">C</span><span class="ffa ls1b v19">(</span></span><span class="v19">s<span class="ffa ls0">)</span></span></span></div><div class="t m0 x1e h5 y80 ff1 fs3 fc2 sc0 ls0">1</div><div class="t m0 x3d h26 y81 ff5 fs3 fc2 sc0 ls0">Cs</div><div class="t m0 x23 h32 y7f ffa fs2 fc2 sc0 ls80">+<span class="ff5 ls86">R<span class="ls0 ws11 v19">V</span><span class="fs3 ls87 v18">C</span></span><span class="ls1b v19">(<span class="ff5 ls39">s<span class="ffa ls0">)</span></span></span></div><div class="t m0 x3e h5 y80 ff1 fs3 fc2 sc0 ls0">1</div><div class="t m0 x13 h26 y81 ff5 fs3 fc2 sc0 ls0">Cs</div><div class="t m0 x3f h9 y7f ffa fs2 fc2 sc0 ls80">+<span class="ff5 ls0 ws11">V<span class="fs3 ls87 v8">C</span></span><span class="ls1b">(<span class="ff5 ls39">s</span>)<span class="ffc ls88">.<span class="ff1 ls0">(8)</span></span></span></div><div class="t m0 xa h4 y82 ff1 fs2 fc2 sc0 ls0 ws0">P<span class="_0 blank"></span>or<span class="_6 blank"> </span>tanto<span class="_1 blank"></span>, de (8), a função de tr<span class="_1 blank"></span>ansf<span class="_1 blank"></span>erência entre a entrada e</div><div class="t m0 xa h4 y83 ff1 fs2 fc2 sc0 ls0 ws0">saída do circuito elétrico abordado é:</div><div class="t m0 x1 h9 y84 ff5 fs2 fcb sc0 ls0 ws11">V<span class="fs3 ls87 v8">C</span><span class="ffa ls1b">(</span><span class="ls39">s</span><span class="ffa">)</span></div><div class="t m0 x40 h35 y85 ff5 fs2 fcb sc0 ls82">V<span class="ffa ls1b">(</span><span class="ls39">s<span class="ffa ls89">)<span class="ls8a v19">=</span><span class="ff1 ls0 v1a">1</span></span></span></div><div class="t m0 x41 h36 y86 ff5 fs2 fcb sc0 ls0 ws2f">LCs <span class="ff1 fs3 ls8b v11">2</span><span class="ffa ls80">+</span><span class="ws30">RCs <span class="ffa ls80">+<span class="ff1 ls8c">1</span></span><span class="ffc v16">.</span></span></div><div class="t m0 x8 h2 y9 ff1 fs0 fc1 sc0 ls0 ws2">Cristiano,<span class="_7 blank"> </span>Curitiba<span class="_8 blank"> </span>Sistema<span class="_7 blank"> </span>de<span class="_2 blank"> </span>Controle</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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