diff --git a/electron/main.js b/electron/main.js
index 5ce4e28..5b45731 100644
--- a/electron/main.js
+++ b/electron/main.js
@@ -42,7 +42,7 @@ function createTray() {
       tray = new Tray(iconPath);
     }
     
-    tray.setToolTip('NPQS-9100自动检测平台');
+    tray.setToolTip('变频器暂降耐受实验平台');
     console.log('[Tray] Tray created successfully');
   
   // 创建托盘菜单
diff --git a/frontend/src/views/machine/freqConverter/components/freqConverterDipChart.vue b/frontend/src/views/machine/freqConverter/components/freqConverterDipChart.vue
index ff52d72..fd03c36 100644
--- a/frontend/src/views/machine/freqConverter/components/freqConverterDipChart.vue
+++ b/frontend/src/views/machine/freqConverter/components/freqConverterDipChart.vue
@@ -36,7 +36,7 @@
 </template>
 
 <script lang="ts" setup>
-import { computed, ref, watch } from 'vue'
+import { computed, nextTick, ref, watch } from 'vue'
 import { ElMessage } from 'element-plus'
 import { Document, Download } from '@element-plus/icons-vue'
 import * as XLSX from 'xlsx'
@@ -127,6 +127,107 @@ const sortedCharacteristicCurveData = computed(() => {
   })
 })
 
+const clampValue = (value: number, min: number, max: number) => {
+  return Math.min(max, Math.max(min, value))
+}
+
+const buildExtendedCurvePoint = (points: Array<[number, number]>, targetDuration: number) => {
+  if (!points.length || !Number.isFinite(targetDuration) || targetDuration <= 0) {
+    return null as [number, number] | null
+  }
+
+  const lastPoint = points[points.length - 1]
+  if (!lastPoint || targetDuration === lastPoint[0]) {
+    return null as [number, number] | null
+  }
+
+  if (points.length === 1) {
+    return [targetDuration, lastPoint[1]] as [number, number]
+  }
+
+  const recentDistinctPoints: Array<[number, number]> = []
+  for (let index = points.length - 1; index >= 0 && recentDistinctPoints.length < 3; index -= 1) {
+    const point = points[index]
+    if (recentDistinctPoints.some(item => item[0] === point[0])) {
+      continue
+    }
+
+    recentDistinctPoints.unshift(point)
+  }
+
+  if (recentDistinctPoints.length < 2) {
+    return [targetDuration, lastPoint[1]] as [number, number]
+  }
+
+  const toLogDuration = (value: number) => Math.log10(value)
+  const getSlope = (start: [number, number], end: [number, number]) => {
+    const deltaX = toLogDuration(end[0]) - toLogDuration(start[0])
+    if (!Number.isFinite(deltaX) || deltaX === 0) {
+      return null
+    }
+
+    return (end[1] - start[1]) / deltaX
+  }
+
+  let slope = getSlope(
+    recentDistinctPoints[recentDistinctPoints.length - 2],
+    recentDistinctPoints[recentDistinctPoints.length - 1]
+  )
+
+  if (recentDistinctPoints.length >= 3) {
+    const previousSlope = getSlope(recentDistinctPoints[0], recentDistinctPoints[1])
+    if (previousSlope !== null && slope !== null) {
+      slope = previousSlope * 0.35 + slope * 0.65
+    }
+  }
+
+  if (slope === null) {
+    return [targetDuration, lastPoint[1]] as [number, number]
+  }
+
+  const deltaX = toLogDuration(targetDuration) - toLogDuration(lastPoint[0])
+  if (!Number.isFinite(deltaX)) {
+    return null as [number, number] | null
+  }
+
+  const predictedResidualVoltage = lastPoint[1] + slope * deltaX
+  const nearbyResidualVoltages = recentDistinctPoints.map(item => item[1])
+  const minResidualVoltage = Math.max(0, Math.min(...nearbyResidualVoltages) - 15)
+  const maxResidualVoltage = Math.min(100, Math.max(...nearbyResidualVoltages) + 15)
+
+  return [
+    targetDuration,
+    Number(clampValue(predictedResidualVoltage, minResidualVoltage, maxResidualVoltage).toFixed(2))
+  ] as [number, number]
+}
+
+const inferredCharacteristicCurvePoint = computed(() => {
+  return buildExtendedCurvePoint(sortedCharacteristicCurveData.value, xAxisMax.value)
+})
+
+const solidCharacteristicCurveSeriesData = computed(() => {
+  return sortedCharacteristicCurveData.value.map(item => [item[0], item[1], 'Backend point'])
+})
+
+const dashedCharacteristicCurveSeriesData = computed(() => {
+  const lastPoint = sortedCharacteristicCurveData.value[sortedCharacteristicCurveData.value.length - 1]
+  const extensionPoint = inferredCharacteristicCurvePoint.value
+
+  if (!lastPoint || !extensionPoint) {
+    return []
+  }
+
+  return [
+    {
+      value: [lastPoint[0], lastPoint[1], 'Backend point'],
+      symbol: 'none'
+    },
+    {
+      value: [extensionPoint[0], extensionPoint[1], 'Inferred point']
+    }
+  ]
+})
+
 const hasChartData = computed(() => {
   return sortedChartPoints.value.length > 0 || sortedCharacteristicCurveData.value.length > 0
 })
@@ -476,10 +577,10 @@ const exportChartData = () => {
   if (sortedChartPoints.value.length) {
     const pointSheet = XLSX.utils.json_to_sheet(
       sortedChartPoints.value.map((item, index) => ({
-        序号: index + 1,
-        持续时间_s: item.duration,
-        暂降幅值_pct: item.residualVoltage,
-        状态: getStatusText(item.status)
+        '序号': index + 1,
+        '持续时间_s': item.duration,
+        '暂降幅值_%': item.residualVoltage,
+        '状态': getStatusText(item.status)
       }))
     )
     XLSX.utils.book_append_sheet(workbook, pointSheet, '暂降点')
@@ -488,9 +589,9 @@ const exportChartData = () => {
   if (sortedCharacteristicCurveData.value.length) {
     const curveSheet = XLSX.utils.json_to_sheet(
       sortedCharacteristicCurveData.value.map((item, index) => ({
-        序号: index + 1,
-        持续时间_s: item[0],
-        暂降幅值_pct: item[1]
+        '序号': index + 1,
+        '持续时间_s': item[0],
+        '暂降幅值_%': item[1]
       }))
     )
     XLSX.utils.book_append_sheet(workbook, curveSheet, '特性曲线')
@@ -615,7 +716,23 @@ const chartOptions = computed(() => {
         itemStyle: {
           color: '#ff2a2a'
         },
-        data: characteristicCurveData.value.map(item => [item[0], item[1], '特性曲线'])
+        data: solidCharacteristicCurveSeriesData.value
+      },
+      {
+        name: '特性曲线延伸',
+        type: 'line',
+        smooth: true,
+        showSymbol: true,
+        symbolSize: 7,
+        lineStyle: {
+          color: '#ff2a2a',
+          width: 3,
+          type: 'dashed'
+        },
+        itemStyle: {
+          color: '#ff2a2a'
+        },
+        data: dashedCharacteristicCurveSeriesData.value
       },
       {
         name: '暂降点',
diff --git a/frontend/src/views/machine/freqConverter/index.vue b/frontend/src/views/machine/freqConverter/index.vue
index 8b99a58..c64cf21 100644
--- a/frontend/src/views/machine/freqConverter/index.vue
+++ b/frontend/src/views/machine/freqConverter/index.vue
@@ -6,11 +6,11 @@
       :request-api="getTableList"
     >
       <template #tableHeader="scope">
-        <el-button v-auth.freqConverter="'add'" type="primary" :icon="CirclePlus" @click="openDialog('add')">
+        <el-button v-auth.tolerance="'add'" type="primary" :icon="CirclePlus" @click="openDialog('add')">
           新增
         </el-button>
         <el-button
-          v-auth.freqConverter="'delete'"
+          v-auth.tolerance="'delete'"
           type="danger"
           :icon="Delete"
           plain
@@ -23,7 +23,7 @@
 
       <template #operation="scope">
         <el-button
-          v-auth.freqConverter="'edit'"
+          v-auth.tolerance="'edit'"
           type="primary"
           link
           :icon="EditPen"
@@ -33,7 +33,7 @@
           编辑
         </el-button>
         <el-button
-          v-auth.freqConverter="'delete'"
+          v-auth.tolerance="'delete'"
           type="primary"
           link
           :icon="Delete"
@@ -42,7 +42,7 @@
           删除
         </el-button>
         <el-button
-          v-auth.freqConverter="'test'"
+          v-auth.tolerance="'test'"
           type="primary"
           link
           :icon="Stopwatch"
@@ -51,7 +51,7 @@
           检测
         </el-button>
         <el-button
-          v-auth.freqConverter="'result'"
+          v-auth.tolerance="'result'"
           type="primary"
           link
           :icon="Coin"
diff --git a/public/html/loading.html b/public/html/loading.html
index 829bcf6..788f627 100644
--- a/public/html/loading.html
+++ b/public/html/loading.html
@@ -3,7 +3,7 @@
 <head>
   <meta charset="UTF-8">
   <meta name="viewport" content="width=device-width, initial-scale=1.0">
-  <title>NPQS-9100自动检测平台 正在启动...</title>
+  <title>变频器暂降耐受实验平台 正在启动...</title>
   <style>
     * {
       margin: 0;
@@ -145,7 +145,7 @@
 </head>
 <body>
   <div class="loading-container">
-    <div class="logo">NPQS-9100自动检测平台</div>
+    <div class="logo">变频器暂降耐受实验平台</div>
     <div class="subtitle">南京灿能电力自动化股份有限公司</div>
     
     <div class="status-text" id="statusText">正在初始化应用...</div>