/**
  * Implements Drupal\configuration\Config\Configuration::saveToActiveStore().
  */
 public function saveToActiveStore(ConfigIteratorSettings &$settings)
 {
     $style = $this->getData();
     // Does an image style with the same name already exist?
     if ($existing_style = image_style_load($this->getIdentifier())) {
         $isExistingEditable = (bool) ($existing_style['storage'] & IMAGE_STORAGE_EDITABLE);
         $isNewEditable = (bool) ($style['storage'] & IMAGE_STORAGE_EDITABLE);
         // New style is using defaults -> revert existing.
         if (!$isNewEditable && $isExistingEditable) {
             image_default_style_revert($this->getIdentifier());
         } elseif ($isExistingEditable && $isNewEditable) {
             $style['isid'] = $existing_style['isid'];
             $style = image_style_save($style);
             if (!empty($existing_style['effects'])) {
                 foreach ($existing_style['effects'] as $effect) {
                     image_effect_delete($effect);
                 }
             }
             if (!empty($style['effects'])) {
                 foreach ($style['effects'] as $effect) {
                     $effect['isid'] = $style['isid'];
                     image_effect_save($effect);
                 }
             }
         } elseif ($isNewEditable && !$isExistingEditable) {
             if (!empty($existing_style['isid'])) {
                 $style['isid'] = $existing_style['isid'];
             }
             $style = image_style_save($style);
             if (!empty($style['effects'])) {
                 foreach ($style['effects'] as $effect) {
                     $effect['isid'] = $style['isid'];
                     image_effect_save($effect);
                 }
             }
         } else {
         }
     } else {
         $style = image_style_save($style);
         if (!empty($style['effects'])) {
             foreach ($style['effects'] as $effect) {
                 $effect['isid'] = $style['isid'];
                 image_effect_save($effect);
             }
         }
         image_style_flush($style);
     }
     $settings->addInfo('imported', $this->getUniqueId());
 }
<?php

// Use image style machine names.
$image_styles = array('example_style_one', 'example_style_two');
foreach ($image_styles as $item) {
    // Load the style.
    $style = image_style_load($item);
    if ($style) {
        // Flush images associated with the style.
        image_style_flush($style);
        // Delete the style.
        image_style_delete($style);
    }
}
// Clear caches.
drupal_flush_all_caches();