Based on the answer of Matthias and the comments my Grundfile.js is:
module.exports = function (grunt) {
    grunt.initConfig({
        pkg: grunt.file.readJSON('package.json'),
        karma: {
            all: {
                configFile: 'karma.conf.js',               
                background: true,
                files: [
                    { src: './Leen.Managementsystem/bower_components/jquery/dist/jquery.js' },
                    { src: './Leen.Managementsystem/bower_components/globalize/lib/globalize.js' },
                    { src: './Leen.Managementsystem/bower_components/**/*.js', included: false },
                    { src: './Leen.Managementsystem.Tests/App/test/mockFactory.js', included: false },
                    { src: './Leen.Managementsystem/App/**/*.js', included: false },
                    { src: './Leen.Managementsystem.Tests/App/test/*.js', included: false },
                    { src: './Leen.Managementsystem.Tests/App/**/*.spec.js', included: false },   
                    { src: './Leen.Managementsystem.Tests/App/test-main.js' }
                ]
            },
            one: {
                configFile: 'karma.conf.js',               
                files: [
                    { src: './Leen.Managementsystem/bower_components/jquery/dist/jquery.js' },
                    { src: './Leen.Managementsystem/bower_components/globalize/lib/globalize.js' },
                    { src: './Leen.Managementsystem/bower_components/**/*.js', included: false },
                    { src: './Leen.Managementsystem.Tests/App/test/mockFactory.js', included: false },
                    { src: './Leen.Managementsystem/App/**/*.js', included: false },
                    { src: './Leen.Managementsystem.Tests/App/test/*.js', included: false },          
                    // (do not inlcude the *.spec.js files here! The watch event listener will add the single spec file to run)
                    { src: './Leen.Managementsystem.Tests/App/test-main.js' }   
                ]
            }
        },
        watch: {           
            spec_js: {
                options: {
                    interrupt: true,
                    spawn: false
                },
                files: 'Leen.Managementsystem.Tests/App/**/*.spec.js',
                tasks: ['karma:one:start']               
            }
        }
    });
    var originalKarmaOneFiles = grunt.config.get('karma.one.files'); // keep the original files array
    grunt.event.on('watch', function watchEventListener(action, filepath, target) {
        if (target === 'spec_js') {
            handleChangedSpecFile();
        }
        function handleChangedSpecFile() {
            if (action === 'deleted') {
                return;
            }           
            var testFilePath = "./" + filepath.replace(/\\/g, "/");
            grunt.log.writeln(['Running single karma test for: ' + testFilePath]);
            var updatedFiles = originalKarmaOneFiles.concat([{ src: testFilePath, included: false }]);
            grunt.config.set('karma.one.files', updatedFiles);
        }
    });
    grunt.loadNpmTasks('grunt-karma');
    grunt.loadNpmTasks('grunt-contrib-watch');
    grunt.registerTask('default', ['karma:all','watch']);
};
karma.conf.js:
module.exports = function(config) {
    config.set({
      // base path, that will be used to resolve files and exclude
      basePath: '', //the solution root path, e.g. D:\Energienetzwerke\trunk
      // frameworks to use
      frameworks: ['jasmine', 'requirejs'],
      // list of files / patterns to load in the browser
      files: [
        './Leen.Managementsystem/bower_components/jquery/dist/jquery.js',
        './Leen.Managementsystem/bower_components/globalize/lib/globalize.js',
        { pattern: './Leen.Managementsystem/bower_components/**/*.js', included: false },
        { pattern: './Leen.Managementsystem.Tests/App/test/mockFactory.js', included: false },
        { pattern: './Leen.Managementsystem/App/**/*.js', included: false },
        { pattern: './Leen.Managementsystem.Tests/App/test/*.js', included: false},
        { pattern: './Leen.Managementsystem.Tests/App/**/*.spec.js', included: false},
        './Leen.Managementsystem.Tests/App/test-main.js'
      ],
      // list of files to exclude
      exclude: [
        './Leen.Managementsystem/App/main.js'
      ],
      // test results reporter to use
      // possible values: 'dots', 'progress', 'junit', 'growl', 'coverage'
      reporters: ['progress', 'coverage', 'notify', 'htmlDetailed', 'xml'],
      coverageReporter: {
        dir: './Leen.Managementsystem.Tests/testCoverage',
        reporters: [
          { type: 'html',subdir: 'html'},
          { type: 'cobertura',subdir: 'xml', file: 'coverage.xml' },
          { type: 'lcov', subdir: 'lcov' },
          { type: 'text-summary' }
          ]
      },
      notifyReporter: {
        reportEachFailure: true, // Default: false, Will notify on every failed spec
        reportSuccess: false // Default: true, Will notify when a suite was successful
      },
      htmlDetailed: {
        autoReload: true,
        dir: './Leen.Managementsystem.Tests/testResults'
      },
    preprocessors: {
      // source files, that you wanna generate coverage for
      // do not include tests or libraries
      // (these files will be instrumented by Istanbul)
      './Leen.Managementsystem/App/**/*.js': ['coverage']
    },
    // web server port
    port: 9876,
    // enable / disable colors in the output (reporters and logs)
    colors: true,
    // level of logging
    // possible values: config.LOG_DISABLE || config.LOG_ERROR || config.LOG_WARN || config.LOG_INFO || config.LOG_DEBUG
    logLevel: config.LOG_INFO,
    // enable / disable watching file and executing tests whenever any file changes
    autoWatch: false, //watching is done by Gruntfile.js to only execute changed tests
    usePolling: true,
    // Start these browsers, currently available:
    // - Chrome
    // - ChromeCanary
    // - Firefox
    // - Opera
    // - Safari (only Mac)
    // - PhantomJS
    // - IE (only Windows)
    browsers: ['Chrome_With_Saved_DevTools_Settings'],
    customLaunchers: {
        Chrome_With_Saved_DevTools_Settings: {
            base: 'Chrome',
            chromeDataDir: './.chrome'            
        }
    },
    // If browser does not capture in given timeout [ms], kill it
    captureTimeout: 60000,
    // Continuous Integration mode
    // if true, it capture browsers, run tests and exit
    singleRun: true
  });
};
package.json:
{
  "name": "solution",
  "version": "1.0.0",
  "description": "contains packages that are needed for running karma",
  "main": "./Leen.Managementsystem.Tests/App/test-main.js",
  "dependencies": {
    "grunt": "1.0.1",
    "grunt-cli": "1.2.0",
    "grunt-contrib-watch": "1.0.0",
    "grunt-karma": "2.0.0",
    "jasmine-core": "2.6.4",
    "karma": "1.7.0",
    "karma-chrome-launcher": "2.2.0",
    "karma-cli": "1.0.1",
    "karma-coverage": "1.1.1",
    "karma-firefox-launcher": "1.0.1",
    "karma-html-detailed-reporter": "1.1.20",
    "karma-ie-launcher": "1.0.0",
    "karma-jasmine": "1.1.0",
    "karma-notify-reporter": "1.0.1",
    "karma-phantomjs-launcher": "1.0.4",
    "karma-requirejs": "1.1.0",
    "karma-xml-reporter": "0.1.4",
    "requirejs": "2.3.4"
  },
  "devDependencies": {},
  "scripts": {
    "test": "karma run"
  },
  "author": "LEEN",
  "license": "private"
}